I: pbuilder: network access will be disabled during build
I: Current time: Sun Feb  9 19:44:35 +14 2025
I: pbuilder-time-stamp: 1739079875
I: Building the build Environment
I: extracting base tarball [/var/cache/pbuilder/trixie-reproducible-base.tgz]
I: copying local configuration
W: --override-config is not set; not updating apt.conf Read the manpage for details.
I: mounting /proc filesystem
I: mounting /sys filesystem
I: creating /{dev,run}/shm
I: mounting /dev/pts filesystem
I: redirecting /dev/ptmx to /dev/pts/ptmx
I: policy-rc.d already exists
I: using eatmydata during job
I: Copying source file
I: copying [derivations_0.57.20210107-3.dsc]
I: copying [./derivations_0.57.20210107.orig.tar.xz]
I: copying [./derivations_0.57.20210107-3.debian.tar.xz]
I: Extracting source
dpkg-source: warning: cannot verify inline signature for ./derivations_0.57.20210107-3.dsc: unsupported subcommand
dpkg-source: info: extracting derivations in derivations-0.57.20210107
dpkg-source: info: unpacking derivations_0.57.20210107.orig.tar.xz
dpkg-source: info: unpacking derivations_0.57.20210107-3.debian.tar.xz
dpkg-source: info: using patch list from debian/patches/series
dpkg-source: info: applying patch2
I: using fakeroot in build.
I: Installing the build-deps
I: user script /srv/workspace/pbuilder/24076/tmp/hooks/D01_modify_environment starting
debug: Running on ionos12-i386.
I: Changing host+domainname to test build reproducibility
I: Adding a custom variable just for the fun of it...
I: Changing /bin/sh to bash
'/bin/sh' -> '/bin/bash'
lrwxrwxrwx 1 root root 9 Feb  9 05:44 /bin/sh -> /bin/bash
I: Setting pbuilder2's login shell to /bin/bash
I: Setting pbuilder2's GECOS to second user,second room,second work-phone,second home-phone,second other
I: user script /srv/workspace/pbuilder/24076/tmp/hooks/D01_modify_environment finished
I: user script /srv/workspace/pbuilder/24076/tmp/hooks/D02_print_environment starting
I: set
  BASH=/bin/sh
  BASHOPTS=checkwinsize:cmdhist:complete_fullquote:extquote:force_fignore:globasciiranges:globskipdots:hostcomplete:interactive_comments:patsub_replacement:progcomp:promptvars:sourcepath
  BASH_ALIASES=()
  BASH_ARGC=()
  BASH_ARGV=()
  BASH_CMDS=()
  BASH_LINENO=([0]="12" [1]="0")
  BASH_LOADABLES_PATH=/usr/local/lib/bash:/usr/lib/bash:/opt/local/lib/bash:/usr/pkg/lib/bash:/opt/pkg/lib/bash:.
  BASH_SOURCE=([0]="/tmp/hooks/D02_print_environment" [1]="/tmp/hooks/D02_print_environment")
  BASH_VERSINFO=([0]="5" [1]="2" [2]="37" [3]="1" [4]="release" [5]="i686-pc-linux-gnu")
  BASH_VERSION='5.2.37(1)-release'
  BUILDDIR=/build/reproducible-path
  BUILDUSERGECOS='second user,second room,second work-phone,second home-phone,second other'
  BUILDUSERNAME=pbuilder2
  BUILD_ARCH=i386
  DEBIAN_FRONTEND=noninteractive
  DEB_BUILD_OPTIONS='buildinfo=+all reproducible=+all parallel=10 '
  DIRSTACK=()
  DISTRIBUTION=trixie
  EUID=0
  FUNCNAME=([0]="Echo" [1]="main")
  GROUPS=()
  HOME=/root
  HOSTNAME=i-capture-the-hostname
  HOSTTYPE=i686
  HOST_ARCH=i386
  IFS=' 	
  '
  INVOCATION_ID=588c93978f3146ea8656f7102fa31cff
  LANG=C
  LANGUAGE=de_CH:de
  LC_ALL=C
  LD_LIBRARY_PATH=/usr/lib/libeatmydata
  LD_PRELOAD=libeatmydata.so
  MACHTYPE=i686-pc-linux-gnu
  MAIL=/var/mail/root
  OPTERR=1
  OPTIND=1
  OSTYPE=linux-gnu
  PATH=/usr/sbin:/usr/bin:/sbin:/bin:/usr/games:/i/capture/the/path
  PBCURRENTCOMMANDLINEOPERATION=build
  PBUILDER_OPERATION=build
  PBUILDER_PKGDATADIR=/usr/share/pbuilder
  PBUILDER_PKGLIBDIR=/usr/lib/pbuilder
  PBUILDER_SYSCONFDIR=/etc
  PIPESTATUS=([0]="0")
  POSIXLY_CORRECT=y
  PPID=24076
  PS4='+ '
  PWD=/
  SHELL=/bin/bash
  SHELLOPTS=braceexpand:errexit:hashall:interactive-comments:posix
  SHLVL=3
  SUDO_COMMAND='/usr/bin/timeout -k 24.1h 24h /usr/bin/ionice -c 3 /usr/bin/nice -n 11 /usr/bin/unshare --uts -- /usr/sbin/pbuilder --build --configfile /srv/reproducible-results/rbuild-debian/r-b-build.pu6ZWQpr/pbuilderrc_uWFn --distribution trixie --hookdir /etc/pbuilder/rebuild-hooks --debbuildopts -b --basetgz /var/cache/pbuilder/trixie-reproducible-base.tgz --buildresult /srv/reproducible-results/rbuild-debian/r-b-build.pu6ZWQpr/b2 --logfile b2/build.log derivations_0.57.20210107-3.dsc'
  SUDO_GID=112
  SUDO_UID=107
  SUDO_USER=jenkins
  TERM=unknown
  TZ=/usr/share/zoneinfo/Etc/GMT-14
  UID=0
  USER=root
  _='I: set'
  http_proxy=http://46.16.76.132:3128
I: uname -a
  Linux i-capture-the-hostname 6.1.0-30-amd64 #1 SMP PREEMPT_DYNAMIC Debian 6.1.124-1 (2025-01-12) x86_64 GNU/Linux
I: ls -l /bin
  lrwxrwxrwx 1 root root 7 Nov 22 14:40 /bin -> usr/bin
I: user script /srv/workspace/pbuilder/24076/tmp/hooks/D02_print_environment finished
 -> Attempting to satisfy build-dependencies
 -> Creating pbuilder-satisfydepends-dummy package
Package: pbuilder-satisfydepends-dummy
Version: 0.invalid.0
Architecture: i386
Maintainer: Debian Pbuilder Team <pbuilder-maint@lists.alioth.debian.org>
Description: Dummy package to satisfy dependencies with aptitude - created by pbuilder
 This package was created automatically by pbuilder to satisfy the
 build-dependencies of the package being currently built.
Depends: debhelper (>= 12), texlive-latex-base (>= 2018), texlive-latex-recommended (>= 2018), texlive-latex-extra (>= 2018), texlive-pstricks (>= 2018), texlive-luatex (>= 2018), texlive-fonts-recommended (>= 2018), ghostscript (>= 9.27~dfsg), pkg-config (>= 0.29)
dpkg-deb: building package 'pbuilder-satisfydepends-dummy' in '/tmp/satisfydepends-aptitude/pbuilder-satisfydepends-dummy.deb'.
Selecting previously unselected package pbuilder-satisfydepends-dummy.
(Reading database ... 19828 files and directories currently installed.)
Preparing to unpack .../pbuilder-satisfydepends-dummy.deb ...
Unpacking pbuilder-satisfydepends-dummy (0.invalid.0) ...
dpkg: pbuilder-satisfydepends-dummy: dependency problems, but configuring anyway as you requested:
 pbuilder-satisfydepends-dummy depends on debhelper (>= 12); however:
  Package debhelper is not installed.
 pbuilder-satisfydepends-dummy depends on texlive-latex-base (>= 2018); however:
  Package texlive-latex-base is not installed.
 pbuilder-satisfydepends-dummy depends on texlive-latex-recommended (>= 2018); however:
  Package texlive-latex-recommended is not installed.
 pbuilder-satisfydepends-dummy depends on texlive-latex-extra (>= 2018); however:
  Package texlive-latex-extra is not installed.
 pbuilder-satisfydepends-dummy depends on texlive-pstricks (>= 2018); however:
  Package texlive-pstricks is not installed.
 pbuilder-satisfydepends-dummy depends on texlive-luatex (>= 2018); however:
  Package texlive-luatex is not installed.
 pbuilder-satisfydepends-dummy depends on texlive-fonts-recommended (>= 2018); however:
  Package texlive-fonts-recommended is not installed.
 pbuilder-satisfydepends-dummy depends on ghostscript (>= 9.27~dfsg); however:
  Package ghostscript is not installed.
 pbuilder-satisfydepends-dummy depends on pkg-config (>= 0.29); however:
  Package pkg-config is not installed.

Setting up pbuilder-satisfydepends-dummy (0.invalid.0) ...
Reading package lists...
Building dependency tree...
Reading state information...
Initializing package states...
Writing extended state information...
Building tag database...
pbuilder-satisfydepends-dummy is already installed at the requested version (0.invalid.0)
pbuilder-satisfydepends-dummy is already installed at the requested version (0.invalid.0)
The following NEW packages will be installed:
  autoconf{a} automake{a} autopoint{a} autotools-dev{a} bsdextrautils{a} debhelper{a} dh-autoreconf{a} dh-strip-nondeterminism{a} dwz{a} file{a} fontconfig-config{a} fonts-dejavu-core{a} fonts-dejavu-mono{a} fonts-lmodern{a} fonts-urw-base35{a} gettext{a} gettext-base{a} ghostscript{a} groff-base{a} intltool-debian{a} libapache-pom-java{a} libarchive-zip-perl{a} libavahi-client3{a} libavahi-common-data{a} libavahi-common3{a} libbrotli1{a} libcairo2{a} libcom-err2{a} libcommons-logging-java{a} libcommons-parent-java{a} libcups2t64{a} libdbus-1-3{a} libdebhelper-perl{a} libdeflate0{a} libelf1t64{a} libexpat1{a} libffi8{a} libfile-stripnondeterminism-perl{a} libfontbox-java{a} libfontconfig1{a} libfontenc1{a} libfreetype6{a} libglib2.0-0t64{a} libgnutls30t64{a} libgraphite2-3{a} libgs-common{a} libgs10{a} libgs10-common{a} libgssapi-krb5-2{a} libharfbuzz0b{a} libice6{a} libicu72{a} libidn12{a} libidn2-0{a} libijs-0.35{a} libjbig0{a} libjbig2dec0{a} libjpeg62-turbo{a} libjs-jquery{a} libk5crypto3{a} libkeyutils1{a} libkpathsea6{a} libkrb5-3{a} libkrb5support0{a} liblcms2-2{a} liblerc4{a} libmagic-mgc{a} libmagic1t64{a} libmpfi0{a} libopenjp2-7{a} libp11-kit0{a} libpaper-utils{a} libpaper2{a} libpdfbox-java{a} libpipeline1{a} libpixman-1-0{a} libpkgconf3{a} libpng16-16t64{a} libpotrace0{a} libproc2-0{a} libptexenc1{a} libpython3-stdlib{a} libpython3.13-minimal{a} libpython3.13-stdlib{a} libreadline8t64{a} libsharpyuv0{a} libsm6{a} libsynctex2{a} libtasn1-6{a} libteckit0{a} libtexlua53-5{a} libtext-charwidth-perl{a} libtext-wrapi18n-perl{a} libtiff6{a} libtool{a} libuchardet0{a} libunistring5{a} libwebp7{a} libx11-6{a} libx11-data{a} libxau6{a} libxaw7{a} libxcb-render0{a} libxcb-shm0{a} libxcb1{a} libxdmcp6{a} libxext6{a} libxi6{a} libxml2{a} libxmu6{a} libxpm4{a} libxrender1{a} libxt6t64{a} libzzip-0-13t64{a} lmodern{a} m4{a} man-db{a} media-types{a} netbase{a} pkg-config{a} pkgconf{a} pkgconf-bin{a} po-debconf{a} poppler-data{a} preview-latex-style{a} procps{a} python3{a} python3-minimal{a} python3.13{a} python3.13-minimal{a} readline-common{a} sensible-utils{a} t1utils{a} tex-common{a} texlive-base{a} texlive-binaries{a} texlive-fonts-recommended{a} texlive-latex-base{a} texlive-latex-extra{a} texlive-latex-recommended{a} texlive-luatex{a} texlive-pictures{a} texlive-plain-generic{a} texlive-pstricks{a} tzdata{a} ucf{a} x11-common{a} xdg-utils{a} xfonts-encodings{a} xfonts-utils{a} 
The following packages are RECOMMENDED but will NOT be installed:
  ca-certificates curl dbus default-jre dvisvgm fonts-droid-fallback javascript-common krb5-locales libarchive-cpio-perl libfile-mimeinfo-perl libglib2.0-data libltdl-dev libmail-sendmail-perl libnet-dbus-perl libspreadsheet-parseexcel-perl libx11-protocol-perl linux-sysctl-defaults lynx ps2eps psmisc ruby shared-mime-info tex-gyre texlive-extra-utils texlive-font-utils tipa tk wget x11-utils x11-xserver-utils xdg-user-dirs 
0 packages upgraded, 150 newly installed, 0 to remove and 0 not upgraded.
Need to get 255 MB of archives. After unpacking 745 MB will be used.
Writing extended state information...
Get: 1 http://deb.debian.org/debian trixie/main i386 poppler-data all 0.4.12-1 [1601 kB]
Get: 2 http://deb.debian.org/debian trixie/main i386 libpython3.13-minimal i386 3.13.1-3+b1 [858 kB]
Get: 3 http://deb.debian.org/debian trixie/main i386 libexpat1 i386 2.6.4-1 [107 kB]
Get: 4 http://deb.debian.org/debian trixie/main i386 python3.13-minimal i386 3.13.1-3+b1 [2244 kB]
Get: 5 http://deb.debian.org/debian trixie/main i386 python3-minimal i386 3.13.1-2 [27.0 kB]
Get: 6 http://deb.debian.org/debian trixie/main i386 media-types all 10.1.0 [26.9 kB]
Get: 7 http://deb.debian.org/debian trixie/main i386 netbase all 6.4 [12.8 kB]
Get: 8 http://deb.debian.org/debian trixie/main i386 tzdata all 2024b-6 [257 kB]
Get: 9 http://deb.debian.org/debian trixie/main i386 libffi8 i386 3.4.6-1 [21.2 kB]
Get: 10 http://deb.debian.org/debian trixie/main i386 readline-common all 8.2-6 [69.4 kB]
Get: 11 http://deb.debian.org/debian trixie/main i386 libreadline8t64 i386 8.2-6 [173 kB]
Get: 12 http://deb.debian.org/debian trixie/main i386 libpython3.13-stdlib i386 3.13.1-3+b1 [1981 kB]
Get: 13 http://deb.debian.org/debian trixie/main i386 python3.13 i386 3.13.1-3+b1 [740 kB]
Get: 14 http://deb.debian.org/debian trixie/main i386 libpython3-stdlib i386 3.13.1-2 [9952 B]
Get: 15 http://deb.debian.org/debian trixie/main i386 python3 i386 3.13.1-2 [28.0 kB]
Get: 16 http://deb.debian.org/debian trixie/main i386 libproc2-0 i386 2:4.0.4-7 [66.0 kB]
Get: 17 http://deb.debian.org/debian trixie/main i386 procps i386 2:4.0.4-7 [876 kB]
Get: 18 http://deb.debian.org/debian trixie/main i386 sensible-utils all 0.0.24 [24.8 kB]
Get: 19 http://deb.debian.org/debian trixie/main i386 libmagic-mgc i386 1:5.45-3+b1 [314 kB]
Get: 20 http://deb.debian.org/debian trixie/main i386 libmagic1t64 i386 1:5.45-3+b1 [115 kB]
Get: 21 http://deb.debian.org/debian trixie/main i386 file i386 1:5.45-3+b1 [43.2 kB]
Get: 22 http://deb.debian.org/debian trixie/main i386 gettext-base i386 0.23.1-1 [245 kB]
Get: 23 http://deb.debian.org/debian trixie/main i386 libuchardet0 i386 0.0.8-1+b2 [69.2 kB]
Get: 24 http://deb.debian.org/debian trixie/main i386 groff-base i386 1.23.0-7 [1199 kB]
Get: 25 http://deb.debian.org/debian trixie/main i386 bsdextrautils i386 2.40.4-2 [96.1 kB]
Get: 26 http://deb.debian.org/debian trixie/main i386 libpipeline1 i386 1.5.8-1 [41.2 kB]
Get: 27 http://deb.debian.org/debian trixie/main i386 man-db i386 2.13.0-1 [1428 kB]
Get: 28 http://deb.debian.org/debian trixie/main i386 libtext-charwidth-perl i386 0.04-11+b4 [9656 B]
Get: 29 http://deb.debian.org/debian trixie/main i386 libtext-wrapi18n-perl all 0.06-10 [8808 B]
Get: 30 http://deb.debian.org/debian trixie/main i386 ucf all 3.0049 [42.5 kB]
Get: 31 http://deb.debian.org/debian trixie/main i386 m4 i386 1.4.19-5 [301 kB]
Get: 32 http://deb.debian.org/debian trixie/main i386 autoconf all 2.72-3 [493 kB]
Get: 33 http://deb.debian.org/debian trixie/main i386 autotools-dev all 20220109.1 [51.6 kB]
Get: 34 http://deb.debian.org/debian trixie/main i386 automake all 1:1.17-3 [862 kB]
Get: 35 http://deb.debian.org/debian trixie/main i386 autopoint all 0.23.1-1 [770 kB]
Get: 36 http://deb.debian.org/debian trixie/main i386 libdebhelper-perl all 13.24.1 [90.9 kB]
Get: 37 http://deb.debian.org/debian trixie/main i386 libtool all 2.5.4-3 [539 kB]
Get: 38 http://deb.debian.org/debian trixie/main i386 dh-autoreconf all 20 [17.1 kB]
Get: 39 http://deb.debian.org/debian trixie/main i386 libarchive-zip-perl all 1.68-1 [104 kB]
Get: 40 http://deb.debian.org/debian trixie/main i386 libfile-stripnondeterminism-perl all 1.14.1-1 [19.6 kB]
Get: 41 http://deb.debian.org/debian trixie/main i386 dh-strip-nondeterminism all 1.14.1-1 [8584 B]
Get: 42 http://deb.debian.org/debian trixie/main i386 libelf1t64 i386 0.192-4 [195 kB]
Get: 43 http://deb.debian.org/debian trixie/main i386 dwz i386 0.15-1+b1 [116 kB]
Get: 44 http://deb.debian.org/debian trixie/main i386 libunistring5 i386 1.3-1 [458 kB]
Get: 45 http://deb.debian.org/debian trixie/main i386 libicu72 i386 72.1-6 [9582 kB]
Get: 46 http://deb.debian.org/debian trixie/main i386 libxml2 i386 2.12.7+dfsg+really2.9.14-0.2+b1 [734 kB]
Get: 47 http://deb.debian.org/debian trixie/main i386 gettext i386 0.23.1-1 [1714 kB]
Get: 48 http://deb.debian.org/debian trixie/main i386 intltool-debian all 0.35.0+20060710.6 [22.9 kB]
Get: 49 http://deb.debian.org/debian trixie/main i386 po-debconf all 1.0.21+nmu1 [248 kB]
Get: 50 http://deb.debian.org/debian trixie/main i386 debhelper all 13.24.1 [920 kB]
Get: 51 http://deb.debian.org/debian trixie/main i386 fonts-dejavu-mono all 2.37-8 [489 kB]
Get: 52 http://deb.debian.org/debian trixie/main i386 fonts-dejavu-core all 2.37-8 [840 kB]
Get: 53 http://deb.debian.org/debian trixie/main i386 libfontenc1 i386 1:1.1.8-1+b2 [23.4 kB]
Get: 54 http://deb.debian.org/debian trixie/main i386 libbrotli1 i386 1.1.0-2+b6 [308 kB]
Get: 55 http://deb.debian.org/debian trixie/main i386 libpng16-16t64 i386 1.6.46-4 [292 kB]
Get: 56 http://deb.debian.org/debian trixie/main i386 libfreetype6 i386 2.13.3+dfsg-1 [464 kB]
Get: 57 http://deb.debian.org/debian trixie/main i386 x11-common all 1:7.7+24 [217 kB]
Get: 58 http://deb.debian.org/debian trixie/main i386 xfonts-encodings all 1:1.0.4-2.2 [577 kB]
Get: 59 http://deb.debian.org/debian trixie/main i386 xfonts-utils i386 1:7.7+7 [95.1 kB]
Get: 60 http://deb.debian.org/debian trixie/main i386 fonts-urw-base35 all 20200910-8 [10.8 MB]
Get: 61 http://deb.debian.org/debian trixie/main i386 fontconfig-config i386 2.15.0-2 [317 kB]
Get: 62 http://deb.debian.org/debian trixie/main i386 fonts-lmodern all 2.005-1 [4540 kB]
Get: 63 http://deb.debian.org/debian trixie/main i386 libgs-common all 10.04.0~dfsg-2 [148 kB]
Get: 64 http://deb.debian.org/debian trixie/main i386 libgs10-common all 10.04.0~dfsg-2 [475 kB]
Get: 65 http://deb.debian.org/debian trixie/main i386 libavahi-common-data i386 0.8-16 [112 kB]
Get: 66 http://deb.debian.org/debian trixie/main i386 libavahi-common3 i386 0.8-16 [46.4 kB]
Get: 67 http://deb.debian.org/debian trixie/main i386 libdbus-1-3 i386 1.16.0-1 [190 kB]
Get: 68 http://deb.debian.org/debian trixie/main i386 libavahi-client3 i386 0.8-16 [50.4 kB]
Get: 69 http://deb.debian.org/debian trixie/main i386 libidn2-0 i386 2.3.7-2+b1 [130 kB]
Get: 70 http://deb.debian.org/debian trixie/main i386 libp11-kit0 i386 0.25.5-3 [423 kB]
Get: 71 http://deb.debian.org/debian trixie/main i386 libtasn1-6 i386 4.19.0-3+b3 [51.1 kB]
Get: 72 http://deb.debian.org/debian trixie/main i386 libgnutls30t64 i386 3.8.8-2 [1451 kB]
Get: 73 http://deb.debian.org/debian trixie/main i386 libkrb5support0 i386 1.21.3-4 [35.0 kB]
Get: 74 http://deb.debian.org/debian trixie/main i386 libcom-err2 i386 1.47.2-1 [24.3 kB]
Get: 75 http://deb.debian.org/debian trixie/main i386 libk5crypto3 i386 1.21.3-4 [83.7 kB]
Get: 76 http://deb.debian.org/debian trixie/main i386 libkeyutils1 i386 1.6.3-4 [9600 B]
Get: 77 http://deb.debian.org/debian trixie/main i386 libkrb5-3 i386 1.21.3-4 [354 kB]
Get: 78 http://deb.debian.org/debian trixie/main i386 libgssapi-krb5-2 i386 1.21.3-4 [149 kB]
Get: 79 http://deb.debian.org/debian trixie/main i386 libcups2t64 i386 2.4.10-2+b1 [267 kB]
Get: 80 http://deb.debian.org/debian trixie/main i386 libfontconfig1 i386 2.15.0-2 [402 kB]
Get: 81 http://deb.debian.org/debian trixie/main i386 libidn12 i386 1.42-3 [82.2 kB]
Get: 82 http://deb.debian.org/debian trixie/main i386 libijs-0.35 i386 0.35-15.1+b2 [15.7 kB]
Get: 83 http://deb.debian.org/debian trixie/main i386 libjbig2dec0 i386 0.20-1+b3 [67.0 kB]
Get: 84 http://deb.debian.org/debian trixie/main i386 libjpeg62-turbo i386 1:2.1.5-3+b1 [171 kB]
Get: 85 http://deb.debian.org/debian trixie/main i386 liblcms2-2 i386 2.16-2 [171 kB]
Get: 86 http://deb.debian.org/debian trixie/main i386 libopenjp2-7 i386 2.5.3-1 [215 kB]
Get: 87 http://deb.debian.org/debian trixie/main i386 libpaper2 i386 2.2.5-0.3 [16.8 kB]
Get: 88 http://deb.debian.org/debian trixie/main i386 libdeflate0 i386 1.23-1+b1 [48.4 kB]
Get: 89 http://deb.debian.org/debian trixie/main i386 libjbig0 i386 2.1-6.1+b2 [32.2 kB]
Get: 90 http://deb.debian.org/debian trixie/main i386 liblerc4 i386 4.0.0+ds-5 [191 kB]
Get: 91 http://deb.debian.org/debian trixie/main i386 libsharpyuv0 i386 1.5.0-0.1 [115 kB]
Get: 92 http://deb.debian.org/debian trixie/main i386 libwebp7 i386 1.5.0-0.1 [329 kB]
Get: 93 http://deb.debian.org/debian trixie/main i386 libtiff6 i386 4.5.1+git230720-5 [339 kB]
Get: 94 http://deb.debian.org/debian trixie/main i386 libxau6 i386 1:1.0.11-1 [20.7 kB]
Get: 95 http://deb.debian.org/debian trixie/main i386 libxdmcp6 i386 1:1.1.5-1 [28.2 kB]
Get: 96 http://deb.debian.org/debian trixie/main i386 libxcb1 i386 1.17.0-2+b1 [148 kB]
Get: 97 http://deb.debian.org/debian trixie/main i386 libx11-data all 2:1.8.10-2 [337 kB]
Get: 98 http://deb.debian.org/debian trixie/main i386 libx11-6 i386 2:1.8.10-2 [834 kB]
Get: 99 http://deb.debian.org/debian trixie/main i386 libice6 i386 2:1.1.1-1 [67.8 kB]
Get: 100 http://deb.debian.org/debian trixie/main i386 libsm6 i386 2:1.2.4-1 [35.9 kB]
Get: 101 http://deb.debian.org/debian trixie/main i386 libxt6t64 i386 1:1.2.1-1.2+b2 [194 kB]
Get: 102 http://deb.debian.org/debian trixie/main i386 libgs10 i386 10.04.0~dfsg-2+b1 [2707 kB]
Get: 103 http://deb.debian.org/debian trixie/main i386 ghostscript i386 10.04.0~dfsg-2+b1 [51.0 kB]
Get: 104 http://deb.debian.org/debian trixie/main i386 libapache-pom-java all 33-2 [5852 B]
Get: 105 http://deb.debian.org/debian trixie/main i386 libpixman-1-0 i386 0.44.0-3 [246 kB]
Get: 106 http://deb.debian.org/debian trixie/main i386 libxcb-render0 i386 1.17.0-2+b1 [116 kB]
Get: 107 http://deb.debian.org/debian trixie/main i386 libxcb-shm0 i386 1.17.0-2+b1 [105 kB]
Get: 108 http://deb.debian.org/debian trixie/main i386 libxext6 i386 2:1.3.4-1+b3 [52.5 kB]
Get: 109 http://deb.debian.org/debian trixie/main i386 libxrender1 i386 1:0.9.10-1.1+b4 [28.8 kB]
Get: 110 http://deb.debian.org/debian trixie/main i386 libcairo2 i386 1.18.2-2 [591 kB]
Get: 111 http://deb.debian.org/debian trixie/main i386 libcommons-parent-java all 56-1 [10.8 kB]
Get: 112 http://deb.debian.org/debian trixie/main i386 libcommons-logging-java all 1.3.0-1 [68.6 kB]
Get: 113 http://deb.debian.org/debian trixie/main i386 libfontbox-java all 1:1.8.16-5 [211 kB]
Get: 114 http://deb.debian.org/debian trixie/main i386 libglib2.0-0t64 i386 2.82.4-2 [1573 kB]
Get: 115 http://deb.debian.org/debian trixie/main i386 libgraphite2-3 i386 1.3.14-2+b1 [77.8 kB]
Get: 116 http://deb.debian.org/debian trixie/main i386 libharfbuzz0b i386 10.2.0-1 [504 kB]
Get: 117 http://deb.debian.org/debian trixie/main i386 libjs-jquery all 3.6.1+dfsg+~3.5.14-1 [326 kB]
Get: 118 http://deb.debian.org/debian trixie/main i386 libkpathsea6 i386 2024.20240313.70630+ds-5+b1 [160 kB]
Get: 119 http://deb.debian.org/debian trixie/main i386 libmpfi0 i386 1.5.4+ds-4 [38.8 kB]
Get: 120 http://deb.debian.org/debian trixie/main i386 libpaper-utils i386 2.2.5-0.3 [16.1 kB]
Get: 121 http://deb.debian.org/debian trixie/main i386 libpdfbox-java all 1:1.8.16-5 [5527 kB]
Get: 122 http://deb.debian.org/debian trixie/main i386 libpkgconf3 i386 1.8.1-4 [38.4 kB]
Get: 123 http://deb.debian.org/debian trixie/main i386 libpotrace0 i386 1.16-2+b2 [24.5 kB]
Get: 124 http://deb.debian.org/debian trixie/main i386 libptexenc1 i386 2024.20240313.70630+ds-5+b1 [50.3 kB]
Get: 125 http://deb.debian.org/debian trixie/main i386 libsynctex2 i386 2024.20240313.70630+ds-5+b1 [65.9 kB]
Get: 126 http://deb.debian.org/debian trixie/main i386 libteckit0 i386 2.5.12+ds1-1+b1 [285 kB]
Get: 127 http://deb.debian.org/debian trixie/main i386 libtexlua53-5 i386 2024.20240313.70630+ds-5+b1 [129 kB]
Get: 128 http://deb.debian.org/debian trixie/main i386 libxmu6 i386 2:1.1.3-3+b4 [60.8 kB]
Get: 129 http://deb.debian.org/debian trixie/main i386 libxpm4 i386 1:3.5.17-1+b3 [58.3 kB]
Get: 130 http://deb.debian.org/debian trixie/main i386 libxaw7 i386 2:1.0.16-1 [220 kB]
Get: 131 http://deb.debian.org/debian trixie/main i386 libxi6 i386 2:1.8.2-1 [81.2 kB]
Get: 132 http://deb.debian.org/debian trixie/main i386 libzzip-0-13t64 i386 0.13.72+dfsg.1-1.2+b1 [58.1 kB]
Get: 133 http://deb.debian.org/debian trixie/main i386 tex-common all 6.18 [32.5 kB]
Get: 134 http://deb.debian.org/debian trixie/main i386 lmodern all 2.005-1 [9480 kB]
Get: 135 http://deb.debian.org/debian trixie/main i386 pkgconf-bin i386 1.8.1-4 [30.6 kB]
Get: 136 http://deb.debian.org/debian trixie/main i386 pkgconf i386 1.8.1-4 [26.2 kB]
Get: 137 http://deb.debian.org/debian trixie/main i386 pkg-config i386 1.8.1-4 [14.0 kB]
Get: 138 http://deb.debian.org/debian trixie/main i386 preview-latex-style all 13.2-1 [350 kB]
Get: 139 http://deb.debian.org/debian trixie/main i386 t1utils i386 1.41-4 [62.3 kB]
Get: 140 http://deb.debian.org/debian trixie/main i386 texlive-binaries i386 2024.20240313.70630+ds-5+b1 [8373 kB]
Get: 141 http://deb.debian.org/debian trixie/main i386 xdg-utils all 1.2.1-2 [75.8 kB]
Get: 142 http://deb.debian.org/debian trixie/main i386 texlive-base all 2024.20241115-1 [22.7 MB]
Get: 143 http://deb.debian.org/debian trixie/main i386 texlive-fonts-recommended all 2024.20241115-1 [4991 kB]
Get: 144 http://deb.debian.org/debian trixie/main i386 texlive-latex-base all 2024.20241115-1 [1278 kB]
Get: 145 http://deb.debian.org/debian trixie/main i386 texlive-latex-recommended all 2024.20241115-1 [8757 kB]
Get: 146 http://deb.debian.org/debian trixie/main i386 texlive-pictures all 2024.20241115-1 [17.0 MB]
Get: 147 http://deb.debian.org/debian trixie/main i386 texlive-latex-extra all 2024.20241115-1 [24.6 MB]
Get: 148 http://deb.debian.org/debian trixie/main i386 texlive-luatex all 2024.20241115-1 [27.8 MB]
Get: 149 http://deb.debian.org/debian trixie/main i386 texlive-plain-generic all 2024.20241115-1 [28.6 MB]
Get: 150 http://deb.debian.org/debian trixie/main i386 texlive-pstricks all 2024.20241115-1 [29.9 MB]
Fetched 255 MB in 4s (72.3 MB/s)
Preconfiguring packages ...
Selecting previously unselected package poppler-data.
(Reading database ... 
(Reading database ... 5%
(Reading database ... 10%
(Reading database ... 15%
(Reading database ... 20%
(Reading database ... 25%
(Reading database ... 30%
(Reading database ... 35%
(Reading database ... 40%
(Reading database ... 45%
(Reading database ... 50%
(Reading database ... 55%
(Reading database ... 60%
(Reading database ... 65%
(Reading database ... 70%
(Reading database ... 75%
(Reading database ... 80%
(Reading database ... 85%
(Reading database ... 90%
(Reading database ... 95%
(Reading database ... 100%
(Reading database ... 19828 files and directories currently installed.)
Preparing to unpack .../poppler-data_0.4.12-1_all.deb ...
Unpacking poppler-data (0.4.12-1) ...
Selecting previously unselected package libpython3.13-minimal:i386.
Preparing to unpack .../libpython3.13-minimal_3.13.1-3+b1_i386.deb ...
Unpacking libpython3.13-minimal:i386 (3.13.1-3+b1) ...
Selecting previously unselected package libexpat1:i386.
Preparing to unpack .../libexpat1_2.6.4-1_i386.deb ...
Unpacking libexpat1:i386 (2.6.4-1) ...
Selecting previously unselected package python3.13-minimal.
Preparing to unpack .../python3.13-minimal_3.13.1-3+b1_i386.deb ...
Unpacking python3.13-minimal (3.13.1-3+b1) ...
Setting up libpython3.13-minimal:i386 (3.13.1-3+b1) ...
Setting up libexpat1:i386 (2.6.4-1) ...
Setting up python3.13-minimal (3.13.1-3+b1) ...
Selecting previously unselected package python3-minimal.
(Reading database ... 
(Reading database ... 5%
(Reading database ... 10%
(Reading database ... 15%
(Reading database ... 20%
(Reading database ... 25%
(Reading database ... 30%
(Reading database ... 35%
(Reading database ... 40%
(Reading database ... 45%
(Reading database ... 50%
(Reading database ... 55%
(Reading database ... 60%
(Reading database ... 65%
(Reading database ... 70%
(Reading database ... 75%
(Reading database ... 80%
(Reading database ... 85%
(Reading database ... 90%
(Reading database ... 95%
(Reading database ... 100%
(Reading database ... 20698 files and directories currently installed.)
Preparing to unpack .../0-python3-minimal_3.13.1-2_i386.deb ...
Unpacking python3-minimal (3.13.1-2) ...
Selecting previously unselected package media-types.
Preparing to unpack .../1-media-types_10.1.0_all.deb ...
Unpacking media-types (10.1.0) ...
Selecting previously unselected package netbase.
Preparing to unpack .../2-netbase_6.4_all.deb ...
Unpacking netbase (6.4) ...
Selecting previously unselected package tzdata.
Preparing to unpack .../3-tzdata_2024b-6_all.deb ...
Unpacking tzdata (2024b-6) ...
Selecting previously unselected package libffi8:i386.
Preparing to unpack .../4-libffi8_3.4.6-1_i386.deb ...
Unpacking libffi8:i386 (3.4.6-1) ...
Selecting previously unselected package readline-common.
Preparing to unpack .../5-readline-common_8.2-6_all.deb ...
Unpacking readline-common (8.2-6) ...
Selecting previously unselected package libreadline8t64:i386.
Preparing to unpack .../6-libreadline8t64_8.2-6_i386.deb ...
Adding 'diversion of /lib/i386-linux-gnu/libhistory.so.8 to /lib/i386-linux-gnu/libhistory.so.8.usr-is-merged by libreadline8t64'
Adding 'diversion of /lib/i386-linux-gnu/libhistory.so.8.2 to /lib/i386-linux-gnu/libhistory.so.8.2.usr-is-merged by libreadline8t64'
Adding 'diversion of /lib/i386-linux-gnu/libreadline.so.8 to /lib/i386-linux-gnu/libreadline.so.8.usr-is-merged by libreadline8t64'
Adding 'diversion of /lib/i386-linux-gnu/libreadline.so.8.2 to /lib/i386-linux-gnu/libreadline.so.8.2.usr-is-merged by libreadline8t64'
Unpacking libreadline8t64:i386 (8.2-6) ...
Selecting previously unselected package libpython3.13-stdlib:i386.
Preparing to unpack .../7-libpython3.13-stdlib_3.13.1-3+b1_i386.deb ...
Unpacking libpython3.13-stdlib:i386 (3.13.1-3+b1) ...
Selecting previously unselected package python3.13.
Preparing to unpack .../8-python3.13_3.13.1-3+b1_i386.deb ...
Unpacking python3.13 (3.13.1-3+b1) ...
Selecting previously unselected package libpython3-stdlib:i386.
Preparing to unpack .../9-libpython3-stdlib_3.13.1-2_i386.deb ...
Unpacking libpython3-stdlib:i386 (3.13.1-2) ...
Setting up python3-minimal (3.13.1-2) ...
Selecting previously unselected package python3.
(Reading database ... 
(Reading database ... 5%
(Reading database ... 10%
(Reading database ... 15%
(Reading database ... 20%
(Reading database ... 25%
(Reading database ... 30%
(Reading database ... 35%
(Reading database ... 40%
(Reading database ... 45%
(Reading database ... 50%
(Reading database ... 55%
(Reading database ... 60%
(Reading database ... 65%
(Reading database ... 70%
(Reading database ... 75%
(Reading database ... 80%
(Reading database ... 85%
(Reading database ... 90%
(Reading database ... 95%
(Reading database ... 100%
(Reading database ... 21709 files and directories currently installed.)
Preparing to unpack .../000-python3_3.13.1-2_i386.deb ...
Unpacking python3 (3.13.1-2) ...
Selecting previously unselected package libproc2-0:i386.
Preparing to unpack .../001-libproc2-0_2%3a4.0.4-7_i386.deb ...
Unpacking libproc2-0:i386 (2:4.0.4-7) ...
Selecting previously unselected package procps.
Preparing to unpack .../002-procps_2%3a4.0.4-7_i386.deb ...
Unpacking procps (2:4.0.4-7) ...
Selecting previously unselected package sensible-utils.
Preparing to unpack .../003-sensible-utils_0.0.24_all.deb ...
Unpacking sensible-utils (0.0.24) ...
Selecting previously unselected package libmagic-mgc.
Preparing to unpack .../004-libmagic-mgc_1%3a5.45-3+b1_i386.deb ...
Unpacking libmagic-mgc (1:5.45-3+b1) ...
Selecting previously unselected package libmagic1t64:i386.
Preparing to unpack .../005-libmagic1t64_1%3a5.45-3+b1_i386.deb ...
Unpacking libmagic1t64:i386 (1:5.45-3+b1) ...
Selecting previously unselected package file.
Preparing to unpack .../006-file_1%3a5.45-3+b1_i386.deb ...
Unpacking file (1:5.45-3+b1) ...
Selecting previously unselected package gettext-base.
Preparing to unpack .../007-gettext-base_0.23.1-1_i386.deb ...
Unpacking gettext-base (0.23.1-1) ...
Selecting previously unselected package libuchardet0:i386.
Preparing to unpack .../008-libuchardet0_0.0.8-1+b2_i386.deb ...
Unpacking libuchardet0:i386 (0.0.8-1+b2) ...
Selecting previously unselected package groff-base.
Preparing to unpack .../009-groff-base_1.23.0-7_i386.deb ...
Unpacking groff-base (1.23.0-7) ...
Selecting previously unselected package bsdextrautils.
Preparing to unpack .../010-bsdextrautils_2.40.4-2_i386.deb ...
Unpacking bsdextrautils (2.40.4-2) ...
Selecting previously unselected package libpipeline1:i386.
Preparing to unpack .../011-libpipeline1_1.5.8-1_i386.deb ...
Unpacking libpipeline1:i386 (1.5.8-1) ...
Selecting previously unselected package man-db.
Preparing to unpack .../012-man-db_2.13.0-1_i386.deb ...
Unpacking man-db (2.13.0-1) ...
Selecting previously unselected package libtext-charwidth-perl:i386.
Preparing to unpack .../013-libtext-charwidth-perl_0.04-11+b4_i386.deb ...
Unpacking libtext-charwidth-perl:i386 (0.04-11+b4) ...
Selecting previously unselected package libtext-wrapi18n-perl.
Preparing to unpack .../014-libtext-wrapi18n-perl_0.06-10_all.deb ...
Unpacking libtext-wrapi18n-perl (0.06-10) ...
Selecting previously unselected package ucf.
Preparing to unpack .../015-ucf_3.0049_all.deb ...
Moving old data out of the way
Unpacking ucf (3.0049) ...
Selecting previously unselected package m4.
Preparing to unpack .../016-m4_1.4.19-5_i386.deb ...
Unpacking m4 (1.4.19-5) ...
Selecting previously unselected package autoconf.
Preparing to unpack .../017-autoconf_2.72-3_all.deb ...
Unpacking autoconf (2.72-3) ...
Selecting previously unselected package autotools-dev.
Preparing to unpack .../018-autotools-dev_20220109.1_all.deb ...
Unpacking autotools-dev (20220109.1) ...
Selecting previously unselected package automake.
Preparing to unpack .../019-automake_1%3a1.17-3_all.deb ...
Unpacking automake (1:1.17-3) ...
Selecting previously unselected package autopoint.
Preparing to unpack .../020-autopoint_0.23.1-1_all.deb ...
Unpacking autopoint (0.23.1-1) ...
Selecting previously unselected package libdebhelper-perl.
Preparing to unpack .../021-libdebhelper-perl_13.24.1_all.deb ...
Unpacking libdebhelper-perl (13.24.1) ...
Selecting previously unselected package libtool.
Preparing to unpack .../022-libtool_2.5.4-3_all.deb ...
Unpacking libtool (2.5.4-3) ...
Selecting previously unselected package dh-autoreconf.
Preparing to unpack .../023-dh-autoreconf_20_all.deb ...
Unpacking dh-autoreconf (20) ...
Selecting previously unselected package libarchive-zip-perl.
Preparing to unpack .../024-libarchive-zip-perl_1.68-1_all.deb ...
Unpacking libarchive-zip-perl (1.68-1) ...
Selecting previously unselected package libfile-stripnondeterminism-perl.
Preparing to unpack .../025-libfile-stripnondeterminism-perl_1.14.1-1_all.deb ...
Unpacking libfile-stripnondeterminism-perl (1.14.1-1) ...
Selecting previously unselected package dh-strip-nondeterminism.
Preparing to unpack .../026-dh-strip-nondeterminism_1.14.1-1_all.deb ...
Unpacking dh-strip-nondeterminism (1.14.1-1) ...
Selecting previously unselected package libelf1t64:i386.
Preparing to unpack .../027-libelf1t64_0.192-4_i386.deb ...
Unpacking libelf1t64:i386 (0.192-4) ...
Selecting previously unselected package dwz.
Preparing to unpack .../028-dwz_0.15-1+b1_i386.deb ...
Unpacking dwz (0.15-1+b1) ...
Selecting previously unselected package libunistring5:i386.
Preparing to unpack .../029-libunistring5_1.3-1_i386.deb ...
Unpacking libunistring5:i386 (1.3-1) ...
Selecting previously unselected package libicu72:i386.
Preparing to unpack .../030-libicu72_72.1-6_i386.deb ...
Unpacking libicu72:i386 (72.1-6) ...
Selecting previously unselected package libxml2:i386.
Preparing to unpack .../031-libxml2_2.12.7+dfsg+really2.9.14-0.2+b1_i386.deb ...
Unpacking libxml2:i386 (2.12.7+dfsg+really2.9.14-0.2+b1) ...
Selecting previously unselected package gettext.
Preparing to unpack .../032-gettext_0.23.1-1_i386.deb ...
Unpacking gettext (0.23.1-1) ...
Selecting previously unselected package intltool-debian.
Preparing to unpack .../033-intltool-debian_0.35.0+20060710.6_all.deb ...
Unpacking intltool-debian (0.35.0+20060710.6) ...
Selecting previously unselected package po-debconf.
Preparing to unpack .../034-po-debconf_1.0.21+nmu1_all.deb ...
Unpacking po-debconf (1.0.21+nmu1) ...
Selecting previously unselected package debhelper.
Preparing to unpack .../035-debhelper_13.24.1_all.deb ...
Unpacking debhelper (13.24.1) ...
Selecting previously unselected package fonts-dejavu-mono.
Preparing to unpack .../036-fonts-dejavu-mono_2.37-8_all.deb ...
Unpacking fonts-dejavu-mono (2.37-8) ...
Selecting previously unselected package fonts-dejavu-core.
Preparing to unpack .../037-fonts-dejavu-core_2.37-8_all.deb ...
Unpacking fonts-dejavu-core (2.37-8) ...
Selecting previously unselected package libfontenc1:i386.
Preparing to unpack .../038-libfontenc1_1%3a1.1.8-1+b2_i386.deb ...
Unpacking libfontenc1:i386 (1:1.1.8-1+b2) ...
Selecting previously unselected package libbrotli1:i386.
Preparing to unpack .../039-libbrotli1_1.1.0-2+b6_i386.deb ...
Unpacking libbrotli1:i386 (1.1.0-2+b6) ...
Selecting previously unselected package libpng16-16t64:i386.
Preparing to unpack .../040-libpng16-16t64_1.6.46-4_i386.deb ...
Unpacking libpng16-16t64:i386 (1.6.46-4) ...
Selecting previously unselected package libfreetype6:i386.
Preparing to unpack .../041-libfreetype6_2.13.3+dfsg-1_i386.deb ...
Unpacking libfreetype6:i386 (2.13.3+dfsg-1) ...
Selecting previously unselected package x11-common.
Preparing to unpack .../042-x11-common_1%3a7.7+24_all.deb ...
Unpacking x11-common (1:7.7+24) ...
Selecting previously unselected package xfonts-encodings.
Preparing to unpack .../043-xfonts-encodings_1%3a1.0.4-2.2_all.deb ...
Unpacking xfonts-encodings (1:1.0.4-2.2) ...
Selecting previously unselected package xfonts-utils.
Preparing to unpack .../044-xfonts-utils_1%3a7.7+7_i386.deb ...
Unpacking xfonts-utils (1:7.7+7) ...
Selecting previously unselected package fonts-urw-base35.
Preparing to unpack .../045-fonts-urw-base35_20200910-8_all.deb ...
Unpacking fonts-urw-base35 (20200910-8) ...
Selecting previously unselected package fontconfig-config.
Preparing to unpack .../046-fontconfig-config_2.15.0-2_i386.deb ...
Unpacking fontconfig-config (2.15.0-2) ...
Selecting previously unselected package fonts-lmodern.
Preparing to unpack .../047-fonts-lmodern_2.005-1_all.deb ...
Unpacking fonts-lmodern (2.005-1) ...
Selecting previously unselected package libgs-common.
Preparing to unpack .../048-libgs-common_10.04.0~dfsg-2_all.deb ...
Unpacking libgs-common (10.04.0~dfsg-2) ...
Selecting previously unselected package libgs10-common.
Preparing to unpack .../049-libgs10-common_10.04.0~dfsg-2_all.deb ...
Unpacking libgs10-common (10.04.0~dfsg-2) ...
Selecting previously unselected package libavahi-common-data:i386.
Preparing to unpack .../050-libavahi-common-data_0.8-16_i386.deb ...
Unpacking libavahi-common-data:i386 (0.8-16) ...
Selecting previously unselected package libavahi-common3:i386.
Preparing to unpack .../051-libavahi-common3_0.8-16_i386.deb ...
Unpacking libavahi-common3:i386 (0.8-16) ...
Selecting previously unselected package libdbus-1-3:i386.
Preparing to unpack .../052-libdbus-1-3_1.16.0-1_i386.deb ...
Unpacking libdbus-1-3:i386 (1.16.0-1) ...
Selecting previously unselected package libavahi-client3:i386.
Preparing to unpack .../053-libavahi-client3_0.8-16_i386.deb ...
Unpacking libavahi-client3:i386 (0.8-16) ...
Selecting previously unselected package libidn2-0:i386.
Preparing to unpack .../054-libidn2-0_2.3.7-2+b1_i386.deb ...
Unpacking libidn2-0:i386 (2.3.7-2+b1) ...
Selecting previously unselected package libp11-kit0:i386.
Preparing to unpack .../055-libp11-kit0_0.25.5-3_i386.deb ...
Unpacking libp11-kit0:i386 (0.25.5-3) ...
Selecting previously unselected package libtasn1-6:i386.
Preparing to unpack .../056-libtasn1-6_4.19.0-3+b3_i386.deb ...
Unpacking libtasn1-6:i386 (4.19.0-3+b3) ...
Selecting previously unselected package libgnutls30t64:i386.
Preparing to unpack .../057-libgnutls30t64_3.8.8-2_i386.deb ...
Unpacking libgnutls30t64:i386 (3.8.8-2) ...
Selecting previously unselected package libkrb5support0:i386.
Preparing to unpack .../058-libkrb5support0_1.21.3-4_i386.deb ...
Unpacking libkrb5support0:i386 (1.21.3-4) ...
Selecting previously unselected package libcom-err2:i386.
Preparing to unpack .../059-libcom-err2_1.47.2-1_i386.deb ...
Unpacking libcom-err2:i386 (1.47.2-1) ...
Selecting previously unselected package libk5crypto3:i386.
Preparing to unpack .../060-libk5crypto3_1.21.3-4_i386.deb ...
Unpacking libk5crypto3:i386 (1.21.3-4) ...
Selecting previously unselected package libkeyutils1:i386.
Preparing to unpack .../061-libkeyutils1_1.6.3-4_i386.deb ...
Unpacking libkeyutils1:i386 (1.6.3-4) ...
Selecting previously unselected package libkrb5-3:i386.
Preparing to unpack .../062-libkrb5-3_1.21.3-4_i386.deb ...
Unpacking libkrb5-3:i386 (1.21.3-4) ...
Selecting previously unselected package libgssapi-krb5-2:i386.
Preparing to unpack .../063-libgssapi-krb5-2_1.21.3-4_i386.deb ...
Unpacking libgssapi-krb5-2:i386 (1.21.3-4) ...
Selecting previously unselected package libcups2t64:i386.
Preparing to unpack .../064-libcups2t64_2.4.10-2+b1_i386.deb ...
Unpacking libcups2t64:i386 (2.4.10-2+b1) ...
Selecting previously unselected package libfontconfig1:i386.
Preparing to unpack .../065-libfontconfig1_2.15.0-2_i386.deb ...
Unpacking libfontconfig1:i386 (2.15.0-2) ...
Selecting previously unselected package libidn12:i386.
Preparing to unpack .../066-libidn12_1.42-3_i386.deb ...
Unpacking libidn12:i386 (1.42-3) ...
Selecting previously unselected package libijs-0.35:i386.
Preparing to unpack .../067-libijs-0.35_0.35-15.1+b2_i386.deb ...
Unpacking libijs-0.35:i386 (0.35-15.1+b2) ...
Selecting previously unselected package libjbig2dec0:i386.
Preparing to unpack .../068-libjbig2dec0_0.20-1+b3_i386.deb ...
Unpacking libjbig2dec0:i386 (0.20-1+b3) ...
Selecting previously unselected package libjpeg62-turbo:i386.
Preparing to unpack .../069-libjpeg62-turbo_1%3a2.1.5-3+b1_i386.deb ...
Unpacking libjpeg62-turbo:i386 (1:2.1.5-3+b1) ...
Selecting previously unselected package liblcms2-2:i386.
Preparing to unpack .../070-liblcms2-2_2.16-2_i386.deb ...
Unpacking liblcms2-2:i386 (2.16-2) ...
Selecting previously unselected package libopenjp2-7:i386.
Preparing to unpack .../071-libopenjp2-7_2.5.3-1_i386.deb ...
Unpacking libopenjp2-7:i386 (2.5.3-1) ...
Selecting previously unselected package libpaper2:i386.
Preparing to unpack .../072-libpaper2_2.2.5-0.3_i386.deb ...
Unpacking libpaper2:i386 (2.2.5-0.3) ...
Selecting previously unselected package libdeflate0:i386.
Preparing to unpack .../073-libdeflate0_1.23-1+b1_i386.deb ...
Unpacking libdeflate0:i386 (1.23-1+b1) ...
Selecting previously unselected package libjbig0:i386.
Preparing to unpack .../074-libjbig0_2.1-6.1+b2_i386.deb ...
Unpacking libjbig0:i386 (2.1-6.1+b2) ...
Selecting previously unselected package liblerc4:i386.
Preparing to unpack .../075-liblerc4_4.0.0+ds-5_i386.deb ...
Unpacking liblerc4:i386 (4.0.0+ds-5) ...
Selecting previously unselected package libsharpyuv0:i386.
Preparing to unpack .../076-libsharpyuv0_1.5.0-0.1_i386.deb ...
Unpacking libsharpyuv0:i386 (1.5.0-0.1) ...
Selecting previously unselected package libwebp7:i386.
Preparing to unpack .../077-libwebp7_1.5.0-0.1_i386.deb ...
Unpacking libwebp7:i386 (1.5.0-0.1) ...
Selecting previously unselected package libtiff6:i386.
Preparing to unpack .../078-libtiff6_4.5.1+git230720-5_i386.deb ...
Unpacking libtiff6:i386 (4.5.1+git230720-5) ...
Selecting previously unselected package libxau6:i386.
Preparing to unpack .../079-libxau6_1%3a1.0.11-1_i386.deb ...
Unpacking libxau6:i386 (1:1.0.11-1) ...
Selecting previously unselected package libxdmcp6:i386.
Preparing to unpack .../080-libxdmcp6_1%3a1.1.5-1_i386.deb ...
Unpacking libxdmcp6:i386 (1:1.1.5-1) ...
Selecting previously unselected package libxcb1:i386.
Preparing to unpack .../081-libxcb1_1.17.0-2+b1_i386.deb ...
Unpacking libxcb1:i386 (1.17.0-2+b1) ...
Selecting previously unselected package libx11-data.
Preparing to unpack .../082-libx11-data_2%3a1.8.10-2_all.deb ...
Unpacking libx11-data (2:1.8.10-2) ...
Selecting previously unselected package libx11-6:i386.
Preparing to unpack .../083-libx11-6_2%3a1.8.10-2_i386.deb ...
Unpacking libx11-6:i386 (2:1.8.10-2) ...
Selecting previously unselected package libice6:i386.
Preparing to unpack .../084-libice6_2%3a1.1.1-1_i386.deb ...
Unpacking libice6:i386 (2:1.1.1-1) ...
Selecting previously unselected package libsm6:i386.
Preparing to unpack .../085-libsm6_2%3a1.2.4-1_i386.deb ...
Unpacking libsm6:i386 (2:1.2.4-1) ...
Selecting previously unselected package libxt6t64:i386.
Preparing to unpack .../086-libxt6t64_1%3a1.2.1-1.2+b2_i386.deb ...
Unpacking libxt6t64:i386 (1:1.2.1-1.2+b2) ...
Selecting previously unselected package libgs10:i386.
Preparing to unpack .../087-libgs10_10.04.0~dfsg-2+b1_i386.deb ...
Unpacking libgs10:i386 (10.04.0~dfsg-2+b1) ...
Selecting previously unselected package ghostscript.
Preparing to unpack .../088-ghostscript_10.04.0~dfsg-2+b1_i386.deb ...
Unpacking ghostscript (10.04.0~dfsg-2+b1) ...
Selecting previously unselected package libapache-pom-java.
Preparing to unpack .../089-libapache-pom-java_33-2_all.deb ...
Unpacking libapache-pom-java (33-2) ...
Selecting previously unselected package libpixman-1-0:i386.
Preparing to unpack .../090-libpixman-1-0_0.44.0-3_i386.deb ...
Unpacking libpixman-1-0:i386 (0.44.0-3) ...
Selecting previously unselected package libxcb-render0:i386.
Preparing to unpack .../091-libxcb-render0_1.17.0-2+b1_i386.deb ...
Unpacking libxcb-render0:i386 (1.17.0-2+b1) ...
Selecting previously unselected package libxcb-shm0:i386.
Preparing to unpack .../092-libxcb-shm0_1.17.0-2+b1_i386.deb ...
Unpacking libxcb-shm0:i386 (1.17.0-2+b1) ...
Selecting previously unselected package libxext6:i386.
Preparing to unpack .../093-libxext6_2%3a1.3.4-1+b3_i386.deb ...
Unpacking libxext6:i386 (2:1.3.4-1+b3) ...
Selecting previously unselected package libxrender1:i386.
Preparing to unpack .../094-libxrender1_1%3a0.9.10-1.1+b4_i386.deb ...
Unpacking libxrender1:i386 (1:0.9.10-1.1+b4) ...
Selecting previously unselected package libcairo2:i386.
Preparing to unpack .../095-libcairo2_1.18.2-2_i386.deb ...
Unpacking libcairo2:i386 (1.18.2-2) ...
Selecting previously unselected package libcommons-parent-java.
Preparing to unpack .../096-libcommons-parent-java_56-1_all.deb ...
Unpacking libcommons-parent-java (56-1) ...
Selecting previously unselected package libcommons-logging-java.
Preparing to unpack .../097-libcommons-logging-java_1.3.0-1_all.deb ...
Unpacking libcommons-logging-java (1.3.0-1) ...
Selecting previously unselected package libfontbox-java.
Preparing to unpack .../098-libfontbox-java_1%3a1.8.16-5_all.deb ...
Unpacking libfontbox-java (1:1.8.16-5) ...
Selecting previously unselected package libglib2.0-0t64:i386.
Preparing to unpack .../099-libglib2.0-0t64_2.82.4-2_i386.deb ...
Unpacking libglib2.0-0t64:i386 (2.82.4-2) ...
Selecting previously unselected package libgraphite2-3:i386.
Preparing to unpack .../100-libgraphite2-3_1.3.14-2+b1_i386.deb ...
Unpacking libgraphite2-3:i386 (1.3.14-2+b1) ...
Selecting previously unselected package libharfbuzz0b:i386.
Preparing to unpack .../101-libharfbuzz0b_10.2.0-1_i386.deb ...
Unpacking libharfbuzz0b:i386 (10.2.0-1) ...
Selecting previously unselected package libjs-jquery.
Preparing to unpack .../102-libjs-jquery_3.6.1+dfsg+~3.5.14-1_all.deb ...
Unpacking libjs-jquery (3.6.1+dfsg+~3.5.14-1) ...
Selecting previously unselected package libkpathsea6:i386.
Preparing to unpack .../103-libkpathsea6_2024.20240313.70630+ds-5+b1_i386.deb ...
Unpacking libkpathsea6:i386 (2024.20240313.70630+ds-5+b1) ...
Selecting previously unselected package libmpfi0:i386.
Preparing to unpack .../104-libmpfi0_1.5.4+ds-4_i386.deb ...
Unpacking libmpfi0:i386 (1.5.4+ds-4) ...
Selecting previously unselected package libpaper-utils.
Preparing to unpack .../105-libpaper-utils_2.2.5-0.3_i386.deb ...
Unpacking libpaper-utils (2.2.5-0.3) ...
Selecting previously unselected package libpdfbox-java.
Preparing to unpack .../106-libpdfbox-java_1%3a1.8.16-5_all.deb ...
Unpacking libpdfbox-java (1:1.8.16-5) ...
Selecting previously unselected package libpkgconf3:i386.
Preparing to unpack .../107-libpkgconf3_1.8.1-4_i386.deb ...
Unpacking libpkgconf3:i386 (1.8.1-4) ...
Selecting previously unselected package libpotrace0:i386.
Preparing to unpack .../108-libpotrace0_1.16-2+b2_i386.deb ...
Unpacking libpotrace0:i386 (1.16-2+b2) ...
Selecting previously unselected package libptexenc1:i386.
Preparing to unpack .../109-libptexenc1_2024.20240313.70630+ds-5+b1_i386.deb ...
Unpacking libptexenc1:i386 (2024.20240313.70630+ds-5+b1) ...
Selecting previously unselected package libsynctex2:i386.
Preparing to unpack .../110-libsynctex2_2024.20240313.70630+ds-5+b1_i386.deb ...
Unpacking libsynctex2:i386 (2024.20240313.70630+ds-5+b1) ...
Selecting previously unselected package libteckit0:i386.
Preparing to unpack .../111-libteckit0_2.5.12+ds1-1+b1_i386.deb ...
Unpacking libteckit0:i386 (2.5.12+ds1-1+b1) ...
Selecting previously unselected package libtexlua53-5:i386.
Preparing to unpack .../112-libtexlua53-5_2024.20240313.70630+ds-5+b1_i386.deb ...
Unpacking libtexlua53-5:i386 (2024.20240313.70630+ds-5+b1) ...
Selecting previously unselected package libxmu6:i386.
Preparing to unpack .../113-libxmu6_2%3a1.1.3-3+b4_i386.deb ...
Unpacking libxmu6:i386 (2:1.1.3-3+b4) ...
Selecting previously unselected package libxpm4:i386.
Preparing to unpack .../114-libxpm4_1%3a3.5.17-1+b3_i386.deb ...
Unpacking libxpm4:i386 (1:3.5.17-1+b3) ...
Selecting previously unselected package libxaw7:i386.
Preparing to unpack .../115-libxaw7_2%3a1.0.16-1_i386.deb ...
Unpacking libxaw7:i386 (2:1.0.16-1) ...
Selecting previously unselected package libxi6:i386.
Preparing to unpack .../116-libxi6_2%3a1.8.2-1_i386.deb ...
Unpacking libxi6:i386 (2:1.8.2-1) ...
Selecting previously unselected package libzzip-0-13t64:i386.
Preparing to unpack .../117-libzzip-0-13t64_0.13.72+dfsg.1-1.2+b1_i386.deb ...
Unpacking libzzip-0-13t64:i386 (0.13.72+dfsg.1-1.2+b1) ...
Selecting previously unselected package tex-common.
Preparing to unpack .../118-tex-common_6.18_all.deb ...
Unpacking tex-common (6.18) ...
Selecting previously unselected package lmodern.
Preparing to unpack .../119-lmodern_2.005-1_all.deb ...
Unpacking lmodern (2.005-1) ...
Selecting previously unselected package pkgconf-bin.
Preparing to unpack .../120-pkgconf-bin_1.8.1-4_i386.deb ...
Unpacking pkgconf-bin (1.8.1-4) ...
Selecting previously unselected package pkgconf:i386.
Preparing to unpack .../121-pkgconf_1.8.1-4_i386.deb ...
Unpacking pkgconf:i386 (1.8.1-4) ...
Selecting previously unselected package pkg-config:i386.
Preparing to unpack .../122-pkg-config_1.8.1-4_i386.deb ...
Unpacking pkg-config:i386 (1.8.1-4) ...
Selecting previously unselected package preview-latex-style.
Preparing to unpack .../123-preview-latex-style_13.2-1_all.deb ...
Unpacking preview-latex-style (13.2-1) ...
Selecting previously unselected package t1utils.
Preparing to unpack .../124-t1utils_1.41-4_i386.deb ...
Unpacking t1utils (1.41-4) ...
Selecting previously unselected package texlive-binaries.
Preparing to unpack .../125-texlive-binaries_2024.20240313.70630+ds-5+b1_i386.deb ...
Unpacking texlive-binaries (2024.20240313.70630+ds-5+b1) ...
Selecting previously unselected package xdg-utils.
Preparing to unpack .../126-xdg-utils_1.2.1-2_all.deb ...
Unpacking xdg-utils (1.2.1-2) ...
Selecting previously unselected package texlive-base.
Preparing to unpack .../127-texlive-base_2024.20241115-1_all.deb ...
Unpacking texlive-base (2024.20241115-1) ...
Selecting previously unselected package texlive-fonts-recommended.
Preparing to unpack .../128-texlive-fonts-recommended_2024.20241115-1_all.deb ...
Unpacking texlive-fonts-recommended (2024.20241115-1) ...
Selecting previously unselected package texlive-latex-base.
Preparing to unpack .../129-texlive-latex-base_2024.20241115-1_all.deb ...
Unpacking texlive-latex-base (2024.20241115-1) ...
Selecting previously unselected package texlive-latex-recommended.
Preparing to unpack .../130-texlive-latex-recommended_2024.20241115-1_all.deb ...
Unpacking texlive-latex-recommended (2024.20241115-1) ...
Selecting previously unselected package texlive-pictures.
Preparing to unpack .../131-texlive-pictures_2024.20241115-1_all.deb ...
Unpacking texlive-pictures (2024.20241115-1) ...
Selecting previously unselected package texlive-latex-extra.
Preparing to unpack .../132-texlive-latex-extra_2024.20241115-1_all.deb ...
Unpacking texlive-latex-extra (2024.20241115-1) ...
Selecting previously unselected package texlive-luatex.
Preparing to unpack .../133-texlive-luatex_2024.20241115-1_all.deb ...
Unpacking texlive-luatex (2024.20241115-1) ...
Selecting previously unselected package texlive-plain-generic.
Preparing to unpack .../134-texlive-plain-generic_2024.20241115-1_all.deb ...
Unpacking texlive-plain-generic (2024.20241115-1) ...
Selecting previously unselected package texlive-pstricks.
Preparing to unpack .../135-texlive-pstricks_2024.20241115-1_all.deb ...
Unpacking texlive-pstricks (2024.20241115-1) ...
Setting up media-types (10.1.0) ...
Setting up libpipeline1:i386 (1.5.8-1) ...
Setting up libgraphite2-3:i386 (1.3.14-2+b1) ...
Setting up liblcms2-2:i386 (2.16-2) ...
Setting up libpixman-1-0:i386 (0.44.0-3) ...
Setting up libtext-charwidth-perl:i386 (0.04-11+b4) ...
Setting up libsharpyuv0:i386 (1.5.0-0.1) ...
Setting up libxau6:i386 (1:1.0.11-1) ...
Setting up libxdmcp6:i386 (1:1.1.5-1) ...
Setting up libkeyutils1:i386 (1.6.3-4) ...
Setting up libxcb1:i386 (1.17.0-2+b1) ...
Setting up libicu72:i386 (72.1-6) ...
Setting up liblerc4:i386 (4.0.0+ds-5) ...
Setting up bsdextrautils (2.40.4-2) ...
Setting up libmagic-mgc (1:5.45-3+b1) ...
Setting up libxcb-render0:i386 (1.17.0-2+b1) ...
Setting up libarchive-zip-perl (1.68-1) ...
Setting up libijs-0.35:i386 (0.35-15.1+b2) ...
Setting up libdebhelper-perl (13.24.1) ...
Setting up libgs-common (10.04.0~dfsg-2) ...
Setting up libbrotli1:i386 (1.1.0-2+b6) ...
Setting up libfontbox-java (1:1.8.16-5) ...
Setting up libmagic1t64:i386 (1:5.45-3+b1) ...
Setting up x11-common (1:7.7+24) ...
invoke-rc.d: could not determine current runlevel
Setting up X socket directories... /tmp/.X11-unix /tmp/.ICE-unix.
Setting up libdeflate0:i386 (1.23-1+b1) ...
Setting up gettext-base (0.23.1-1) ...
Setting up m4 (1.4.19-5) ...
Setting up libxcb-shm0:i386 (1.17.0-2+b1) ...
Setting up libcom-err2:i386 (1.47.2-1) ...
Setting up file (1:5.45-3+b1) ...
Setting up libtext-wrapi18n-perl (0.06-10) ...
Setting up libjbig0:i386 (2.1-6.1+b2) ...
Setting up libelf1t64:i386 (0.192-4) ...
Setting up poppler-data (0.4.12-1) ...
Setting up libkrb5support0:i386 (1.21.3-4) ...
Setting up tzdata (2024b-6) ...

Current default time zone: 'Etc/UTC'
Local time is now:      Sun Feb  9 05:45:35 UTC 2025.
Universal Time is now:  Sun Feb  9 05:45:35 UTC 2025.
Run 'dpkg-reconfigure tzdata' if you wish to change it.

Setting up libfontenc1:i386 (1:1.1.8-1+b2) ...
Setting up autotools-dev (20220109.1) ...
Setting up libpkgconf3:i386 (1.8.1-4) ...
Setting up libjpeg62-turbo:i386 (1:2.1.5-3+b1) ...
Setting up libzzip-0-13t64:i386 (0.13.72+dfsg.1-1.2+b1) ...
Setting up libx11-data (2:1.8.10-2) ...
Setting up libjbig2dec0:i386 (0.20-1+b3) ...
Setting up libteckit0:i386 (2.5.12+ds1-1+b1) ...
Setting up libapache-pom-java (33-2) ...
Setting up libavahi-common-data:i386 (0.8-16) ...
Setting up libdbus-1-3:i386 (1.16.0-1) ...
Setting up xfonts-encodings (1:1.0.4-2.2) ...
Setting up t1utils (1.41-4) ...
Setting up libtexlua53-5:i386 (2024.20240313.70630+ds-5+b1) ...
Setting up libproc2-0:i386 (2:4.0.4-7) ...
Setting up libunistring5:i386 (1.3-1) ...
Setting up fonts-dejavu-mono (2.37-8) ...
Setting up libpng16-16t64:i386 (1.6.46-4) ...
Setting up libidn12:i386 (1.42-3) ...
Setting up autopoint (0.23.1-1) ...
Setting up libmpfi0:i386 (1.5.4+ds-4) ...
Setting up fonts-dejavu-core (2.37-8) ...
Setting up pkgconf-bin (1.8.1-4) ...
Setting up libk5crypto3:i386 (1.21.3-4) ...
Setting up libkpathsea6:i386 (2024.20240313.70630+ds-5+b1) ...
Setting up autoconf (2.72-3) ...
Setting up libwebp7:i386 (1.5.0-0.1) ...
Setting up libffi8:i386 (3.4.6-1) ...
Setting up dwz (0.15-1+b1) ...
Setting up sensible-utils (0.0.24) ...
Setting up libtiff6:i386 (4.5.1+git230720-5) ...
Setting up libuchardet0:i386 (0.0.8-1+b2) ...
Setting up procps (2:4.0.4-7) ...
Setting up libtasn1-6:i386 (4.19.0-3+b3) ...
Setting up fonts-lmodern (2.005-1) ...
Setting up libopenjp2-7:i386 (2.5.3-1) ...
Setting up libx11-6:i386 (2:1.8.10-2) ...
Setting up netbase (6.4) ...
Setting up libkrb5-3:i386 (1.21.3-4) ...
Setting up libpaper2:i386 (2.2.5-0.3) ...
Setting up libjs-jquery (3.6.1+dfsg+~3.5.14-1) ...
Setting up readline-common (8.2-6) ...
Setting up libxml2:i386 (2.12.7+dfsg+really2.9.14-0.2+b1) ...
Setting up xdg-utils (1.2.1-2) ...
update-alternatives: using /usr/bin/xdg-open to provide /usr/bin/open (open) in auto mode
Setting up libsynctex2:i386 (2024.20240313.70630+ds-5+b1) ...
Setting up libpotrace0:i386 (1.16-2+b2) ...
Setting up automake (1:1.17-3) ...
update-alternatives: using /usr/bin/automake-1.17 to provide /usr/bin/automake (automake) in auto mode
Setting up libfile-stripnondeterminism-perl (1.14.1-1) ...
Setting up libice6:i386 (2:1.1.1-1) ...
Setting up gettext (0.23.1-1) ...
Setting up libpdfbox-java (1:1.8.16-5) ...
Setting up libxpm4:i386 (1:3.5.17-1+b3) ...
Setting up libxrender1:i386 (1:0.9.10-1.1+b4) ...
Setting up libtool (2.5.4-3) ...
Setting up fontconfig-config (2.15.0-2) ...
Setting up libcommons-parent-java (56-1) ...
Setting up libavahi-common3:i386 (0.8-16) ...
Setting up libcommons-logging-java (1.3.0-1) ...
Setting up libxext6:i386 (2:1.3.4-1+b3) ...
Setting up libidn2-0:i386 (2.3.7-2+b1) ...
Setting up libpaper-utils (2.2.5-0.3) ...
Setting up pkgconf:i386 (1.8.1-4) ...
Setting up intltool-debian (0.35.0+20060710.6) ...
Setting up dh-autoreconf (20) ...
Setting up libglib2.0-0t64:i386 (2.82.4-2) ...
No schema files found: doing nothing.
Setting up libptexenc1:i386 (2024.20240313.70630+ds-5+b1) ...
Setting up libfreetype6:i386 (2.13.3+dfsg-1) ...
Setting up libp11-kit0:i386 (0.25.5-3) ...
Setting up libgssapi-krb5-2:i386 (1.21.3-4) ...
Setting up pkg-config:i386 (1.8.1-4) ...
Setting up ucf (3.0049) ...
Setting up libreadline8t64:i386 (8.2-6) ...
Setting up dh-strip-nondeterminism (1.14.1-1) ...
Setting up groff-base (1.23.0-7) ...
Setting up libharfbuzz0b:i386 (10.2.0-1) ...
Setting up libfontconfig1:i386 (2.15.0-2) ...
Setting up libsm6:i386 (2:1.2.4-1) ...
Setting up libpython3.13-stdlib:i386 (3.13.1-3+b1) ...
Setting up libavahi-client3:i386 (0.8-16) ...
Setting up libpython3-stdlib:i386 (3.13.1-2) ...
Setting up libgnutls30t64:i386 (3.8.8-2) ...
Setting up libxi6:i386 (2:1.8.2-1) ...
Setting up python3.13 (3.13.1-3+b1) ...
Setting up po-debconf (1.0.21+nmu1) ...
Setting up python3 (3.13.1-2) ...
Setting up xfonts-utils (1:7.7+7) ...
Setting up man-db (2.13.0-1) ...
Not building database; man-db/auto-update is not 'true'.
Setting up libcairo2:i386 (1.18.2-2) ...
Setting up tex-common (6.18) ...
update-language: texlive-base not installed and configured, doing nothing!
Setting up libxt6t64:i386 (1:1.2.1-1.2+b2) ...
Setting up lmodern (2.005-1) ...
Setting up libcups2t64:i386 (2.4.10-2+b1) ...
Setting up libxmu6:i386 (2:1.1.3-3+b4) ...
Setting up preview-latex-style (13.2-1) ...
Setting up debhelper (13.24.1) ...
Setting up libxaw7:i386 (2:1.0.16-1) ...
Setting up fonts-urw-base35 (20200910-8) ...
Setting up texlive-binaries (2024.20240313.70630+ds-5+b1) ...
update-alternatives: using /usr/bin/xdvi-xaw to provide /usr/bin/xdvi.bin (xdvi.bin) in auto mode
update-alternatives: using /usr/bin/bibtex.original to provide /usr/bin/bibtex (bibtex) in auto mode
Setting up texlive-base (2024.20241115-1) ...
tl-paper: setting paper size for dvips to a4: /var/lib/texmf/dvips/config/config-paper.ps
tl-paper: setting paper size for dvipdfmx to a4: /var/lib/texmf/dvipdfmx/dvipdfmx-paper.cfg
tl-paper: setting paper size for xdvi to a4: /var/lib/texmf/xdvi/XDvi-paper
tl-paper: setting paper size for pdftex to a4: /var/lib/texmf/tex/generic/tex-ini-files/pdftexconfig.tex
Setting up libgs10-common (10.04.0~dfsg-2) ...
Setting up texlive-luatex (2024.20241115-1) ...
Setting up texlive-plain-generic (2024.20241115-1) ...
Setting up texlive-latex-base (2024.20241115-1) ...
Setting up texlive-latex-recommended (2024.20241115-1) ...
Setting up texlive-pictures (2024.20241115-1) ...
Setting up texlive-fonts-recommended (2024.20241115-1) ...
Setting up libgs10:i386 (10.04.0~dfsg-2+b1) ...
Setting up texlive-pstricks (2024.20241115-1) ...
Setting up texlive-latex-extra (2024.20241115-1) ...
Setting up ghostscript (10.04.0~dfsg-2+b1) ...
Processing triggers for libc-bin (2.40-6) ...
Processing triggers for tex-common (6.18) ...
Running updmap-sys. This may take some time... done.
Running mktexlsr /var/lib/texmf ... done.
Building format(s) --all.
	This may take some time... done.
Reading package lists...
Building dependency tree...
Reading state information...
Reading extended state information...
Initializing package states...
Writing extended state information...
Building tag database...
 -> Finished parsing the build-deps
Reading package lists...
Building dependency tree...
Reading state information...
fakeroot is already the newest version (1.37-1).
0 upgraded, 0 newly installed, 0 to remove and 0 not upgraded.
I: Building the package
I: user script /srv/workspace/pbuilder/24076/tmp/hooks/A99_set_merged_usr starting
Not re-configuring usrmerge for trixie
I: user script /srv/workspace/pbuilder/24076/tmp/hooks/A99_set_merged_usr finished
hostname: Name or service not known
I: Running cd /build/reproducible-path/derivations-0.57.20210107/ && env PATH="/usr/sbin:/usr/bin:/sbin:/bin:/usr/games:/i/capture/the/path" HOME="/nonexistent/second-build" dpkg-buildpackage -us -uc -b && env PATH="/usr/sbin:/usr/bin:/sbin:/bin:/usr/games:/i/capture/the/path" HOME="/nonexistent/second-build" dpkg-genchanges -S  > ../derivations_0.57.20210107-3_source.changes
dpkg-buildpackage: info: source package derivations
dpkg-buildpackage: info: source version 0.57.20210107-3
dpkg-buildpackage: info: source distribution unstable
dpkg-buildpackage: info: source changed by Thaddeus H. Black <thb@debian.org>
 dpkg-source --before-build .
dpkg-buildpackage: info: host architecture i386
 debian/rules clean
dh_testdir
dh_testroot
rm -f build-stamp configure-stamp
/usr/bin/make clean
make[1]: Entering directory '/build/reproducible-path/derivations-0.57.20210107'
/usr/bin/make -C tex clean ;
make[2]: Entering directory '/build/reproducible-path/derivations-0.57.20210107/tex'
rm -fv *.{aux,bbl,blg,idx,ilg,ind,log,lof,lot,toc,pgn,out,bak} \
  *-pics.{dvi,ps,pdf}
rm -fv *.{cls,dvi} dobuilddraft.tex dobuildpstonly.tex
rm -fv *.{ps,pdf}
make[2]: Leaving directory '/build/reproducible-path/derivations-0.57.20210107/tex'
make[1]: Leaving directory '/build/reproducible-path/derivations-0.57.20210107'
dh_clean
 debian/rules binary
dh_testdir
touch configure-stamp
dh_testdir
BUILD_FOR_PACKAGING=1 /usr/bin/make tex/derivations.pdf
make[1]: Entering directory '/build/reproducible-path/derivations-0.57.20210107'
/usr/bin/make -C tex derivations.pdf
make[2]: Entering directory '/build/reproducible-path/derivations-0.57.20210107/tex'
sed >derivations-book.cls /usr/share/texlive/texmf-dist/tex/latex/base/book.cls \
  -e 's/^\(\\ProvidesClass{\)book\(}\)[[:space:]]*$/\1derivations-book\2/' \
  -e 's/^\(\\newcommand\*\\l@\(section\|figure\){\\@dottedtocline{1}{\)\([^{}]*\)\(}{\)\([^{}]*\)\(}}\)[[:space:]]*$/\1\3\42.5em\6/' \
  -e 's/^\(\\newcommand\*\\l@subsection{\\@dottedtocline{2}{\)\([^{}]*\)\(}{\)\([^{}]*\)\(}}\)[[:space:]]*$/\14.0em\33.3em\5/' \
  -e 's/^\(\\newcommand\*\\l@subsubsection{\\@dottedtocline{3}{\)\([^{}]*\)\(}{\)\([^{}]*\)\(}}\)[[:space:]]*$/\17.3em\3\4\5/'
if [ -h "dobuilddraft.tex" -a -e "dobuilddraft.tex" ] && [ "$(readlink "dobuilddraft.tex")" != "/dev/null" ]; then \
  /usr/bin/make cleanless2; \
fi
rm -fv dobuilddraft.tex && ln -sv /dev/null dobuilddraft.tex
'dobuilddraft.tex' -> '/dev/null'
rm -fv dobuildpstonly.tex && ln -sv /dev/null dobuildpstonly.tex
'dobuildpstonly.tex' -> '/dev/null'
pdflatex -shell-restricted main.tex
This is pdfTeX, Version 3.141592653-2.6-1.40.26 (TeX Live 2025/dev/Debian) (preloaded format=pdflatex)
 restricted \write18 enabled.
entering extended mode
(./main.tex
LaTeX2e <2024-11-01>
L3 programming layer <2024-11-02>
(./derivations-book.cls
Document Class: derivations-book 2024/06/29 v1.4n Standard LaTeX document class

(/usr/share/texlive/texmf-dist/tex/latex/base/bk11.clo)) (./thb.sty
(/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty)
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty))
(/usr/share/texlive/texmf-dist/tex/latex/jknapltx/mathrsfs.sty)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty)
(/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def)))
(/usr/share/texlive/texmf-dist/tex/latex/pst-plot/pst-plot.sty
(/usr/share/texlive/texmf-dist/tex/latex/pstricks/pstricks.sty
(/usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty)
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/mathcolor.ltx))
(/usr/share/texlive/texmf-dist/tex/generic/xkeyval/pst-xkey.tex
(/usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty
(/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkeyval.tex
(/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkvutils.tex))))
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.tex
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pst-fp.tex
`pst-fp' v0.06, 2020/11/20 (hv))
(/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty
(/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex)))
(/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeyslibraryfiltered
.code.tex))) (/usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code
.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonomet
ric.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.cod
e.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison
.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.
tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code
.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.
tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerari
thmetics.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex)))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex))
`PSTricks' v3.20  <2024/07/09> (tvz,hv)
--- We are running latex or xelatex ---
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.con)
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks-color.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks-arrows.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks-dots.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.con))
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pst-fp.tex
`pst-fp' v0.06, 2020/11/20 (hv)))
(/usr/share/texlive/texmf-dist/tex/latex/xkeyval/pst-xkey.sty)
(/usr/share/texlive/texmf-dist/tex/latex/multido/multido.sty
(/usr/share/texlive/texmf-dist/tex/generic/multido/multido.tex
 v1.42, 2010/05/14 <tvz>))
(/usr/share/texlive/texmf-dist/tex/generic/pst-plot/pst-plot.tex
(/usr/share/texlive/texmf-dist/tex/generic/pst-tools/pst-tools.tex
`PST-tools' v0.12, 2021/09/23 (hv))
(/usr/share/texlive/texmf-dist/tex/generic/pstricks-add/pstricks-add.tex
(/usr/share/texlive/texmf-dist/tex/generic/pst-node/pst-node.tex
 v1.45, 2024/07/10)
(/usr/share/texlive/texmf-dist/tex/generic/pst-arrow/pst-arrow.tex
`pst-arrow' v0.05, 2021/11/16 (dr,hv))
(/usr/share/texlive/texmf-dist/tex/generic/pst-3d/pst-3d.tex
`PST-3d' v1.11, 2010/02/14 (tvz))
(/usr/share/texlive/texmf-dist/tex/generic/pst-math/pst-math.tex
`pst-math' v0.67 , (CJ,hv)) `pstricks-add' v3.94, 2023/04/17 (dr,hv))
 v1.94, 2022/11/21 (tvz,hv)))
(/usr/share/texlive/texmf-dist/tex/latex/base/makeidx.sty))

LaTeX Warning: \include should only be used after \begin{document} on input lin
e 6.

(./dobuilddraft.tex)

LaTeX Warning: \include should only be used after \begin{document} on input lin
e 7.

(./dobuildpstonly.tex)
(/usr/share/texlive/texmf-dist/tex/latex/pst-pdf/pst-pdf.sty
(/usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty)
(/usr/share/texlive/texmf-dist/tex/generic/iftex/ifxetex.sty)
(/usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty)
(/usr/share/texlive/texmf-dist/tex/generic/luatex85/luatex85.sty)
(/usr/share/texmf/tex/latex/preview/preview.sty)
(/usr/share/texlive/texmf-dist/tex/latex/environ/environ.sty
(/usr/share/texlive/texmf-dist/tex/latex/trimspaces/trimspaces.sty)))
Writing index file main.idx
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty
(/usr/share/texlive/texmf-dist/tex/latex/kvsetkeys/kvsetkeys.sty)
(/usr/share/texlive/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty)
(/usr/share/texlive/texmf-dist/tex/generic/pdfescape/pdfescape.sty
(/usr/share/texlive/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty)
(/usr/share/texlive/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty
(/usr/share/texlive/texmf-dist/tex/generic/infwarerr/infwarerr.sty)))
(/usr/share/texlive/texmf-dist/tex/latex/hycolor/hycolor.sty)
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty
(/usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty)
(/usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty
(/usr/share/texlive/texmf-dist/tex/latex/kvoptions/kvoptions.sty)))
(/usr/share/texlive/texmf-dist/tex/latex/etoolbox/etoolbox.sty)
(/usr/share/texlive/texmf-dist/tex/generic/stringenc/stringenc.sty)
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def)
(/usr/share/texlive/texmf-dist/tex/generic/intcalc/intcalc.sty)
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/puenc.def)
(/usr/share/texlive/texmf-dist/tex/latex/url/url.sty)
(/usr/share/texlive/texmf-dist/tex/generic/bitset/bitset.sty
(/usr/share/texlive/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty))
(/usr/share/texlive/texmf-dist/tex/latex/base/atbegshi-ltx.sty))
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def
(/usr/share/texlive/texmf-dist/tex/latex/base/atveryend-ltx.sty)
(/usr/share/texlive/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty
(/usr/share/texlive/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty)))
(/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def)
No file main.aux.
(/usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii
[Loading MPS to PDF converter (version 2006.09.02).]
)
Preview: Fontsize 10.95pt
Preview: PDFoutput 1
(./sphere.tex) (/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd)
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd)
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd)
(/usr/share/texlive/texmf-dist/tex/latex/jknapltx/ursfs.fd)
[1
Non-PDF special ignored!
<special> header=pstricks.pro
Non-PDF special ignored!
<special> header=pst-algparser.pro
Non-PDF special ignored!
<special> header=pst-tools.pro
Non-PDF special ignored!
<special> header=pst-dots.pro
Non-PDF special ignored!
<special> header=pst-node.pro
Non-PDF special ignored!
<special> header=pst-3d.pro
Non-PDF special ignored!
<special> header=pst-math.pro
Non-PDF special ignored!
<special> header=pstricks-add.pro
Non-PDF special ignored!
<special> ps: /pssetRGBcolor /setrgbcolor load def /pssetCMYKcolor /setcmyk...
Non-PDF special ignored!
<special> ps:tx@Dict begin  gsave STV CP T /ps@rot 0 def grestore  end
Non-PDF special ignored!
<special> ps:tx@Dict begin  gsave STV CP T /ps@refangle 0.  def grestore  e...
Non-PDF special ignored!
<special> ps:tx@Dict begin  gsave STV CP T /ps@rot 0 def grestore  end
{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}]

LaTeX Warning: Citation `Debian' on page ii undefined on input line 62.


LaTeX Warning: Citation `self' on page ii undefined on input line 63.


LaTeX Warning: Citation `self-derivations.org' on page ii undefined on input li
ne 64.


Overfull \hbox (16.27487pt too wide) in paragraph at lines 61--65
\OT1/cmr/m/n/10.95 This book is pub-lished by the De-bian Project [[]]. Be-side
s in De-bian GNU/Linux

LaTeX Warning: Citation `GPL' on page ii undefined on input line 68.


[2]
No file main.toc.

[3]
[4]
No file main.lot.

[5]
[6]
No file main.lof.

[7] (./pref.tex
[8]

LaTeX Warning: Citation `Courant/Hilbert' on page ix undefined on input line 33
.


LaTeX Warning: Citation `Jeffreys/Jeffreys' on page ix undefined on input line 
33.


LaTeX Warning: Citation `Arfken/Weber' on page ix undefined on input line 33.


LaTeX Warning: Reference `intro' on page ix undefined on input line 42.


LaTeX Warning: Reference `eigen' on page ix undefined on input line 50.


[9]
[10]

LaTeX Warning: Citation `Debian' on page xi undefined on input line 143.


[11]

LaTeX Warning: Citation `GPL' on page xii undefined on input line 156.


LaTeX Warning: Citation `Gibbon' on page xii undefined on input line 180.


LaTeX Warning: Citation `Shirer' on page xii undefined on input line 181.


[12]

LaTeX Warning: Citation `Lewis:abolition' on page xiii undefined on input line 
242.


[13]

LaTeX Warning: Reference `intro' on page xiv undefined on input line 254.


LaTeX Warning: Citation `Sieg/Schlimm' on page xiv undefined on input line 284.



LaTeX Warning: Citation `Toader' on page xiv undefined on input line 284.


LaTeX Warning: Citation `Brown-conversation' on page xiv undefined on input lin
e 343.


LaTeX Warning: Citation `DEDavis-conversation' on page xiv undefined on input l
ine 344.


Underfull \vbox (badness 1418) has occurred while \output is active
[14])
[15]
[16] (./intro.tex
Chapter 1.

LaTeX Warning: Reference `alggeo:223:25' on page 1 undefined on input line 18.


Package pst-pdf Warning: pspicture No. 1 undefined.


LaTeX Warning: Reference `alggeo:223:35' on page 1 undefined on input line 49.


Package pst-pdf Warning: pspicture No. 2 undefined.


LaTeX Warning: Reference `alggeo:pythag' on page 1 undefined on input line 99.


[1]

LaTeX Warning: Citation `def-applied-math' on page 2 undefined on input line 13
5.


[2]

LaTeX Warning: Citation `Webster1913' on page 3 undefined on input line 189.


LaTeX Warning: Citation `Wilson' on page 3 undefined on input line 197.


LaTeX Warning: Citation `Hilbert:geometrie' on page 3 undefined on input line 2
09.


LaTeX Warning: Citation `Hersh-book' on page 3 undefined on input line 209.


LaTeX Warning: Citation `Weierstrass:werke' on page 3 undefined on input line 2
15.


[3]

LaTeX Warning: Reference `cexp' on page 4 undefined on input line 279.


LaTeX Warning: Reference `fouri' on page 4 undefined on input line 279.


LaTeX Warning: Citation `mathbios' on page 4 undefined on input line 284.


LaTeX Warning: Citation `Courant/Hilbert' on page 4 undefined on input line 301
.


[4]

LaTeX Warning: Citation `Pinter' on page 5 undefined on input line 309.


LaTeX Warning: Citation `Shilov' on page 5 undefined on input line 320.


LaTeX Warning: Citation `Feferman' on page 5 undefined on input line 359.


LaTeX Warning: Citation `Shilov' on page 5 undefined on input line 359.


LaTeX Warning: Citation `Shilov' on page 5 undefined on input line 359.


[5]

LaTeX Warning: Citation `Bell/Korte' on page 6 undefined on input line 401.


[6]

LaTeX Warning: Citation `Weyl:1950' on page 7 undefined on input line 420.


LaTeX Warning: Citation `Spiegel' on page 7 undefined on input line 461.


LaTeX Warning: Citation `Hersh' on page 7 undefined on input line 474.


LaTeX Warning: Citation `Feser' on page 7 undefined on input line 477.


[7]

LaTeX Warning: Citation `Tymoczko:vat' on page 8 undefined on input line 499.


LaTeX Warning: Citation `Tymoczko' on page 8 undefined on input line 520.


LaTeX Warning: Citation `Carson/Huber' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Courant/Hilbert' on page 8 undefined on input line 546
.


LaTeX Warning: Citation `Feferman' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Frege' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Hamming' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Hardy' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Hersh' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Knopp' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Krader' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Lebedev' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Pinter' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Shilov' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Sieg/Schlimm' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Toader' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Tymoczko' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Tymoczko:vat' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Watson' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Weierstrass:werke' on page 8 undefined on input line 5
46.


LaTeX Warning: Citation `Weiner' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Weyl:1950' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Whitehead/Russell' on page 8 undefined on input line 5
54.


[8]

LaTeX Warning: Citation `Wittgenstein-lectures' on page 9 undefined on input li
ne 572.


LaTeX Warning: Citation `Noe' on page 9 undefined on input line 592.


[9]

LaTeX Warning: Citation `Plato' on page 10 undefined on input line 632.


LaTeX Warning: Citation `Suppes' on page 10 undefined on input line 671.


LaTeX Warning: Citation `Wilson' on page 10 undefined on input line 671.


LaTeX Warning: Citation `Dasgupta' on page 10 undefined on input line 671.


[10]

LaTeX Warning: Citation `Scholz' on page 11 undefined on input line 677.


LaTeX Warning: Citation `Weyl:1918' on page 11 undefined on input line 699.


LaTeX Warning: Reference `intro:284.2:fn1' on page 11 undefined on input line 7
02.


LaTeX Warning: Citation `Bulmer' on page 11 undefined on input line 704.


LaTeX Warning: Citation `Shilov' on page 11 undefined on input line 733.


[11]

LaTeX Warning: Citation `Hamming' on page 12 undefined on input line 808.


[12]

LaTeX Warning: Reference `cexp:230' on page 13 undefined on input line 842.


LaTeX Warning: Reference `intro:284:fig' on page 13 undefined on input line 850
.


Package pst-pdf Warning: pspicture No. 3 undefined.


[13]

LaTeX Warning: Reference `intro:284.2' on page 14 undefined on input line 957.


LaTeX Warning: Citation `Frege' on page 14 undefined on input line 977.


LaTeX Warning: Citation `Suppes/Hill' on page 14 undefined on input line 977.


LaTeX Warning: Citation `Weiner' on page 14 undefined on input line 977.


[14]

LaTeX Warning: Reference `alggeo:225' on page 15 undefined on input line 984.


LaTeX Warning: Reference `trig:278' on page 15 undefined on input line 984.


LaTeX Warning: Reference `trig:280' on page 15 undefined on input line 984.


LaTeX Warning: Reference `drvtv:230.35' on page 15 undefined on input line 985.



LaTeX Warning: Reference `drvtv:240' on page 15 undefined on input line 985.


LaTeX Warning: Reference `noth:320' on page 15 undefined on input line 985.


LaTeX Warning: Reference `inttx:250' on page 15 undefined on input line 985.


LaTeX Warning: Reference `inttx:260' on page 15 undefined on input line 986.


LaTeX Warning: Reference `cexp' on page 15 undefined on input line 986.


LaTeX Warning: Reference `taylor' on page 15 undefined on input line 986.


LaTeX Warning: Citation `Arnold:1997' on page 15 undefined on input line 996.


LaTeX Warning: Citation `Shilov' on page 15 undefined on input line 996.


LaTeX Warning: Citation `Fisher' on page 15 undefined on input line 996.


LaTeX Warning: Citation `Spiegel' on page 15 undefined on input line 996.


LaTeX Warning: Citation `Hildebrand' on page 15 undefined on input line 996.


LaTeX Warning: Reference `taylor' on page 15 undefined on input line 1004.


LaTeX Warning: Reference `taylor:320:fn10' on page 15 undefined on input line 1
004.


LaTeX Warning: Reference `purec' on page 15 undefined on input line 1008.


LaTeX Warning: Reference `hex' on page 15 undefined on input line 1015.


LaTeX Warning: Reference `greek' on page 15 undefined on input line 1017.


LaTeX Warning: Citation `GPL' on page 15 undefined on input line 1026.


LaTeX Warning: Citation `DFSG' on page 15 undefined on input line 1028.


LaTeX Warning: Citation `OSD' on page 15 undefined on input line 1028.


[15])
[16]
[17]
[18] (./alggeo.tex
Chapter 2.

LaTeX Warning: Reference `alggeo:222:table' on page 19 undefined on input line 
63.


LaTeX Warning: Citation `Shilov' on page 19 undefined on input line 65.


LaTeX Warning: Citation `Spiegel' on page 19 undefined on input line 65.


LaTeX Warning: Reference `alggeo:225' on page 19 undefined on input line 68.


LaTeX Warning: Reference `alggeo:222:20' on page 19 undefined on input line 91.



Package pst-pdf Warning: pspicture No. 4 undefined.


[19]

LaTeX Warning: Reference `vector:220.30' on page 20 undefined on input line 177
.


[20]
[21]

LaTeX Warning: Reference `alggeo:224power' on page 22 undefined on input line 2
46.


[22]

LaTeX Warning: Reference `alggeo:225' on page 23 undefined on input line 335.


LaTeX Warning: Reference `greek' on page 23 undefined on input line 355.


[23]

LaTeX Warning: Reference `alggeo:240:quad' on page 24 undefined on input line 3
94.


LaTeX Warning: Reference `alggeo:240:50' on page 24 undefined on input line 399
.


LaTeX Warning: Reference `alggeo:240:quad' on page 24 undefined on input line 4
07.


LaTeX Warning: Reference `alggeo:240:quad' on page 24 undefined on input line 4
28.


LaTeX Warning: Reference `alggeo:240:quad' on page 24 undefined on input line 4
28.


LaTeX Warning: Reference `alggeo:240:quadeq' on page 24 undefined on input line
 428.


LaTeX Warning: Reference `cubic' on page 24 undefined on input line 431.


LaTeX Warning: Reference `cubic:cubic-table' on page 24 undefined on input line
 432.


LaTeX Warning: Reference `cubic:quartic-table' on page 24 undefined on input li
ne 432.


[24]

LaTeX Warning: Reference `hex' on page 25 undefined on input line 470.


LaTeX Warning: Reference `integ:240' on page 25 undefined on input line 487.


LaTeX Warning: Reference `drvtv:250.30' on page 25 undefined on input line 491.



LaTeX Warning: Reference `taylor' on page 25 undefined on input line 491.


[25]

LaTeX Warning: Reference `matrix:120.10' on page 26 undefined on input line 516
.


LaTeX Warning: Reference `alggeo:224' on page 26 undefined on input line 558.


LaTeX Warning: Reference `alggeo:225' on page 26 undefined on input line 580.


LaTeX Warning: Reference `greek' on page 26 undefined on input line 585.


[26]

LaTeX Warning: Reference `alggeo:227' on page 27 undefined on input line 602.


LaTeX Warning: Reference `alggeo:228.30' on page 27 undefined on input line 622
.


LaTeX Warning: Reference `alggeo:224:t1' on page 27 undefined on input line 631
.


[27]

LaTeX Warning: Reference `alggeo:225' on page 28 undefined on input line 660.


LaTeX Warning: Reference `alggeo:224:30' on page 28 undefined on input line 665
.


Underfull \vbox (badness 10000) has occurred while \output is active
[28]

LaTeX Warning: Reference `alggeo:222.40' on page 29 undefined on input line 687
.


LaTeX Warning: Reference `alggeo:224:2' on page 29 undefined on input line 743.



[29]

LaTeX Warning: Reference `alggeo:224:2' on page 30 undefined on input line 798.



LaTeX Warning: Reference `alggeo:224:12' on page 30 undefined on input line 804
.


[30]

LaTeX Warning: Reference `alggeo:224:12' on page 31 undefined on input line 807
.


LaTeX Warning: Reference `alggeo:224pppp' on page 31 undefined on input line 80
8.


LaTeX Warning: Reference `alggeo:224:5' on page 31 undefined on input line 830.



LaTeX Warning: Reference `alggeo:224:2a' on page 31 undefined on input line 837
.


LaTeX Warning: Reference `alggeo:224roots' on page 31 undefined on input line 8
50.


[31]

LaTeX Warning: Reference `alggeo:224:2' on page 32 undefined on input line 858.



LaTeX Warning: Reference `alggeo:224:2' on page 32 undefined on input line 863.



LaTeX Warning: Reference `alggeo:224:12' on page 32 undefined on input line 863
.


LaTeX Warning: Reference `alggeo:224:5' on page 32 undefined on input line 865.



LaTeX Warning: Reference `alggeo:224:1' on page 32 undefined on input line 883.



LaTeX Warning: Reference `alggeo:224:4' on page 32 undefined on input line 883.



LaTeX Warning: Reference `alggeo:224:4a' on page 32 undefined on input line 884
.


LaTeX Warning: Reference `alggeo:224:6' on page 32 undefined on input line 901.



LaTeX Warning: Reference `alggeo:224:7' on page 32 undefined on input line 905.



LaTeX Warning: Reference `alggeo:224:t1' on page 32 undefined on input line 913
.


LaTeX Warning: Reference `alggeo:224:t1' on page 32 undefined on input line 913
.


[32]

LaTeX Warning: Reference `alggeo:225' on page 33 undefined on input line 916.


LaTeX Warning: Reference `trig:280' on page 33 undefined on input line 916.


LaTeX Warning: Reference `cexp' on page 33 undefined on input line 917.


LaTeX Warning: Reference `alggeo:225' on page 33 undefined on input line 919.


LaTeX Warning: Reference `alggeo:225' on page 33 undefined on input line 936.


LaTeX Warning: Reference `alggeo:222.6' on page 33 undefined on input line 941.



LaTeX Warning: Reference `alggeo:228:05' on page 33 undefined on input line 102
9.


LaTeX Warning: Reference `alggeo:228:05' on page 33 undefined on input line 102
9.


LaTeX Warning: Reference `taylor:380' on page 33 undefined on input line 1029.


LaTeX Warning: Reference `alggeo:228:05' on page 33 undefined on input line 102
9.


LaTeX Warning: Reference `alggeo:228:05' on page 33 undefined on input line 102
9.


LaTeX Warning: Reference `taylor' on page 33 undefined on input line 1029.


Underfull \vbox (badness 2189) has occurred while \output is active
[33]
Underfull \vbox (badness 4416) has occurred while \output is active

[34]

LaTeX Warning: Reference `alggeo:228.50' on page 35 undefined on input line 107
1.


LaTeX Warning: Reference `alggeo:228.30' on page 35 undefined on input line 109
3.


LaTeX Warning: Reference `alggeo:228:tbl-down' on page 35 undefined on input li
ne 1095.


LaTeX Warning: Reference `alggeo:228:tbl-up' on page 35 undefined on input line
 1096.


LaTeX Warning: Reference `alggeo:228.50' on page 35 undefined on input line 109
8.


[35]

LaTeX Warning: Reference `alggeo:228:20' on page 36 undefined on input line 112
0.


LaTeX Warning: Reference `alggeo:228:20' on page 36 undefined on input line 113
2.


[36]

LaTeX Warning: Reference `alggeo:228:20' on page 37 undefined on input line 115
8.


LaTeX Warning: Reference `alggeo:228:25' on page 37 undefined on input line 115
9.


LaTeX Warning: Reference `alggeo:228:20' on page 37 undefined on input line 116
1.


LaTeX Warning: Reference `alggeo:228:tbl-down' on page 37 undefined on input li
ne 1171.


LaTeX Warning: Citation `SRW' on page 37 undefined on input line 1173.


LaTeX Warning: Reference `alggeo:228.50' on page 37 undefined on input line 119
5.


LaTeX Warning: Reference `alggeo:228:tbl-down' on page 37 undefined on input li
ne 1200.


LaTeX Warning: Reference `alggeo:228:37' on page 37 undefined on input line 124
5.


LaTeX Warning: Reference `alggeo:228:25' on page 37 undefined on input line 124
5.


LaTeX Warning: Reference `alggeo:228:37' on page 37 undefined on input line 124
5.


LaTeX Warning: Reference `alggeo:228:37' on page 37 undefined on input line 127
5.


LaTeX Warning: Reference `alggeo:228:tbl-down' on page 37 undefined on input li
ne 1275.


[37]
[38]

LaTeX Warning: Reference `alggeo:228:tbl-down' on page 39 undefined on input li
ne 1277.


LaTeX Warning: Reference `alggeo:228:tbl-up' on page 39 undefined on input line
 1283.


LaTeX Warning: Reference `alggeo:228.20' on page 39 undefined on input line 131
4.


LaTeX Warning: Citation `Kohler-lecture' on page 39 undefined on input line 131
6.


LaTeX Warning: Citation `Fisher' on page 39 undefined on input line 1316.


[39]
[40]

LaTeX Warning: Reference `alggeo:228:60' on page 41 undefined on input line 133
2.


LaTeX Warning: Reference `alggeo:228:prod' on page 41 undefined on input line 1
338.


LaTeX Warning: Reference `alggeo:228:65' on page 41 undefined on input line 136
3.


LaTeX Warning: Reference `alggeo:228:tbl-down' on page 41 undefined on input li
ne 1369.


LaTeX Warning: Reference `alggeo:228:tbl-up' on page 41 undefined on input line
 1369.


LaTeX Warning: Reference `alggeo:228:65' on page 41 undefined on input line 137
2.


LaTeX Warning: Reference `alggeo:228:45' on page 41 undefined on input line 137
5.


LaTeX Warning: Reference `alggeo:228:fn1' on page 41 undefined on input line 13
78.


LaTeX Warning: Reference `alggeo:228:65' on page 41 undefined on input line 138
0.


[41]

LaTeX Warning: Reference `alggeo:228:20' on page 42 undefined on input line 138
6.


LaTeX Warning: Reference `alggeo:228:68' on page 42 undefined on input line 139
0.


LaTeX Warning: Reference `alggeo:228:20' on page 42 undefined on input line 139
1.


LaTeX Warning: Reference `alggeo:228.20' on page 42 undefined on input line 140
3.


LaTeX Warning: Reference `alggeo:228.50' on page 42 undefined on input line 140
4.


LaTeX Warning: Reference `alggeo:228:40' on page 42 undefined on input line 142
1.


LaTeX Warning: Reference `alggeo:229' on page 42 undefined on input line 1422.


[42]

LaTeX Warning: Reference `alggeo:228.20' on page 43 undefined on input line 145
4.


LaTeX Warning: Reference `alggeo:228.30' on page 43 undefined on input line 145
5.


LaTeX Warning: Citation `McMahon' on page 43 undefined on input line 1462.


LaTeX Warning: Reference `alggeo:228:45' on page 43 undefined on input line 147
3.


LaTeX Warning: Reference `drvtv' on page 43 undefined on input line 1483.


LaTeX Warning: Reference `alggeo:228:80' on page 43 undefined on input line 148
9.


LaTeX Warning: Reference `alggeo:224int:fn1' on page 43 undefined on input line
 1489.


[43]

LaTeX Warning: Reference `drvtv' on page 44 undefined on input line 1494.


LaTeX Warning: Reference `alggeo:228:80' on page 44 undefined on input line 150
2.


LaTeX Warning: Reference `drvtv' on page 44 undefined on input line 1502.


LaTeX Warning: Reference `drvtv' on page 44 undefined on input line 1502.


LaTeX Warning: Reference `drvtv:250:fn1' on page 44 undefined on input line 150
2.


LaTeX Warning: Reference `taylor:314' on page 44 undefined on input line 1503.


LaTeX Warning: Citation `Russell:1903' on page 44 undefined on input line 1565.



LaTeX Warning: Reference `alggeo:250' on page 44 undefined on input line 1565.


LaTeX Warning: Reference `alggeo:225' on page 44 undefined on input line 1565.


[44]

LaTeX Warning: Reference `inttx:240' on page 45 undefined on input line 1608.


[45]

LaTeX Warning: Reference `alggeo:227' on page 46 undefined on input line 1615.


LaTeX Warning: Reference `alggeo:227' on page 46 undefined on input line 1624.


LaTeX Warning: Reference `integ:240' on page 46 undefined on input line 1624.


LaTeX Warning: Reference `alggeo:224' on page 46 undefined on input line 1633.


LaTeX Warning: Reference `alggeo:231' on page 46 undefined on input line 1634.


[46]

LaTeX Warning: Reference `alggeo:230:310' on page 47 undefined on input line 16
89.


LaTeX Warning: Reference `alggeo:230:311' on page 47 undefined on input line 16
97.


LaTeX Warning: Reference `alggeo:230:315' on page 47 undefined on input line 16
98.


LaTeX Warning: Reference `alggeo:230:316' on page 47 undefined on input line 16
98.


LaTeX Warning: Reference `alggeo:230:318' on page 47 undefined on input line 17
09.


LaTeX Warning: Reference `alggeo:230:310' on page 47 undefined on input line 17
18.


LaTeX Warning: Reference `alggeo:230:318' on page 47 undefined on input line 17
19.


LaTeX Warning: Reference `alggeo:230:tbl' on page 47 undefined on input line 17
22.


LaTeX Warning: Reference `alggeo:230:logdef' on page 47 undefined on input line
 1723.


LaTeX Warning: Reference `alggeo:230:logdef2' on page 47 undefined on input lin
e 1723.


LaTeX Warning: Reference `alggeo:230:315' on page 47 undefined on input line 17
24.


LaTeX Warning: Reference `alggeo:230:316' on page 47 undefined on input line 17
25.


LaTeX Warning: Reference `alggeo:2235' on page 47 undefined on input line 1754.



[47]

LaTeX Warning: Reference `intro:284:fig' on page 48 undefined on input line 177
4.


LaTeX Warning: Reference `intro:284:fig' on page 48 undefined on input line 177
4.


Underfull \vbox (badness 3158) has occurred while \output is active
[48]

LaTeX Warning: Reference `alggeo:323:20' on page 49 undefined on input line 180
4.


LaTeX Warning: Reference `mtxinv:447' on page 49 undefined on input line 1809.


LaTeX Warning: Reference `trig:226' on page 49 undefined on input line 1840.


LaTeX Warning: Reference `trig:260' on page 49 undefined on input line 1840.


LaTeX Warning: Reference `taylor:355' on page 49 undefined on input line 1840.


LaTeX Warning: Reference `hex' on page 49 undefined on input line 1840.


LaTeX Warning: Reference `trig:260:fn1' on page 49 undefined on input line 1840
.


LaTeX Warning: Reference `trig' on page 49 undefined on input line 1840.


LaTeX Warning: Reference `alggeo:323:f70' on page 49 undefined on input line 18
50.


Package pst-pdf Warning: pspicture No. 5 undefined.


[49]

LaTeX Warning: Reference `alggeo:227' on page 50 undefined on input line 1907.


LaTeX Warning: Reference `alggeo:323:50' on page 50 undefined on input line 193
0.


LaTeX Warning: Reference `alggeo:323:60' on page 50 undefined on input line 193
1.


LaTeX Warning: Reference `cexp:euler' on page 50 undefined on input line 1938.


LaTeX Warning: Reference `integ:antider' on page 50 undefined on input line 194
1.


LaTeX Warning: Reference `taylor:cauchy' on page 50 undefined on input line 194
2.


LaTeX Warning: Reference `fouri:eqn' on page 50 undefined on input line 1942.


LaTeX Warning: Reference `intro' on page 50 undefined on input line 1957.


LaTeX Warning: Reference `intro' on page 50 undefined on input line 1977.


LaTeX Warning: Citation `wikip' on page 50 undefined on input line 1977.


LaTeX Warning: Reference `intro' on page 50 undefined on input line 1977.


LaTeX Warning: Reference `intro' on page 50 undefined on input line 1977.


LaTeX Warning: Citation `wikip' on page 50 undefined on input line 1977.


LaTeX Warning: Reference `alggeo:223:37' on page 50 undefined on input line 197
8.


Package pst-pdf Warning: pspicture No. 6 undefined.


LaTeX Warning: Reference `alggeo:323:50' on page 50 undefined on input line 204
5.


[50]

LaTeX Warning: Reference `alggeo:2235' on page 51 undefined on input line 2054.



[51]

LaTeX Warning: Reference `alggeo:pythag' on page 52 undefined on input line 207
4.


LaTeX Warning: Reference `alggeo:pythag' on page 52 undefined on input line 210
0.


LaTeX Warning: Reference `alggeo:223:40' on page 52 undefined on input line 210
2.


LaTeX Warning: Citation `Euclid' on page 52 undefined on input line 2142.


LaTeX Warning: Reference `alggeo:2235:fig' on page 52 undefined on input line 2
149.


Package pst-pdf Warning: pspicture No. 7 undefined.


[52]

LaTeX Warning: Reference `alggeo:2235.20' on page 53 undefined on input line 22
04.


LaTeX Warning: Reference `alggeo:2235.30' on page 53 undefined on input line 22
20.


LaTeX Warning: Reference `alggeo:2235.32' on page 53 undefined on input line 22
20.


LaTeX Warning: Reference `alggeo:2235.30' on page 53 undefined on input line 22
24.


LaTeX Warning: Reference `alggeo:2235.32' on page 53 undefined on input line 22
24.


LaTeX Warning: Reference `alggeo:2235.34' on page 53 undefined on input line 22
25.


[53]

LaTeX Warning: Reference `alggeo:2235:fig' on page 54 undefined on input line 2
245.


LaTeX Warning: Citation `Shilov' on page 54 undefined on input line 2257.


LaTeX Warning: Reference `intro' on page 54 undefined on input line 2260.


LaTeX Warning: Reference `alggeo:223' on page 54 undefined on input line 2284.


LaTeX Warning: Reference `alggeo:2235:fig' on page 54 undefined on input line 2
286.


LaTeX Warning: Reference `alggeo:223:37' on page 54 undefined on input line 229
0.


[54]

LaTeX Warning: Reference `alggeo:323:50' on page 55 undefined on input line 233
2.


LaTeX Warning: Reference `alggeo:2235:fig' on page 55 undefined on input line 2
340.


Package pst-pdf Warning: pspicture No. 8 undefined.


LaTeX Warning: Reference `alggeo:2235:fig' on page 55 undefined on input line 2
423.


LaTeX Warning: Reference `trig:270' on page 55 undefined on input line 2427.


LaTeX Warning: Reference `matrix:120' on page 55 undefined on input line 2437.


LaTeX Warning: Reference `taylor:370' on page 55 undefined on input line 2437.


[55]

LaTeX Warning: Reference `taylor:320' on page 56 undefined on input line 2471.


LaTeX Warning: Reference `inttx:260.20' on page 56 undefined on input line 2514
.


[56]

LaTeX Warning: Reference `taylor:325' on page 57 undefined on input line 2526.


LaTeX Warning: Reference `alggeo:224roots' on page 57 undefined on input line 2
558.


LaTeX Warning: Reference `alggeo:225:i' on page 57 undefined on input line 2566
.


LaTeX Warning: Citation `Feser' on page 57 undefined on input line 2595.


LaTeX Warning: Citation `Frege' on page 57 undefined on input line 2595.


LaTeX Warning: Reference `alggeo:225:fig' on page 57 undefined on input line 25
99.


Package pst-pdf Warning: pspicture No. 9 undefined.


[57]

LaTeX Warning: Reference `alggeo:225:fig' on page 58 undefined on input line 26
92.


LaTeX Warning: Reference `alggeo:223' on page 58 undefined on input line 2693.


LaTeX Warning: Reference `trig:226' on page 58 undefined on input line 2704.


LaTeX Warning: Reference `trig:226:fn1' on page 58 undefined on input line 2710
.


LaTeX Warning: Reference `trig' on page 58 undefined on input line 2710.


[58]

LaTeX Warning: Reference `alggeo:225:23' on page 59 undefined on input line 276
2.


LaTeX Warning: Citation `Feynman' on page 59 undefined on input line 2775.


LaTeX Warning: Reference `alggeo:225:10' on page 59 undefined on input line 277
6.


LaTeX Warning: Reference `trig:280' on page 59 undefined on input line 2777.


LaTeX Warning: Citation `WADavis-conversation' on page 59 undefined on input li
ne 2795.


LaTeX Warning: Citation `Feynman' on page 59 undefined on input line 2795.


[59]

LaTeX Warning: Reference `taylor:314' on page 60 undefined on input line 2850.


LaTeX Warning: Citation `Hamming' on page 60 undefined on input line 2850.


LaTeX Warning: Reference `alggeo:225:10' on page 60 undefined on input line 285
5.


[60]

LaTeX Warning: Reference `alggeo:225:21' on page 61 undefined on input line 286
2.


LaTeX Warning: Reference `alggeo:225:22' on page 61 undefined on input line 286
2.


LaTeX Warning: Reference `alggeo:225:conj' on page 61 undefined on input line 2
875.


LaTeX Warning: Reference `alggeo:225:conj2' on page 61 undefined on input line 
2882.


LaTeX Warning: Citation `Hamming' on page 61 undefined on input line 2889.


LaTeX Warning: Citation `Spiegel' on page 61 undefined on input line 2889.


LaTeX Warning: Reference `alggeo:225:laurent' on page 61 undefined on input lin
e 2897.


LaTeX Warning: Citation `Hildebrand' on page 61 undefined on input line 2898.


LaTeX Warning: Reference `alggeo:225:laurent' on page 61 undefined on input lin
e 2915.


LaTeX Warning: Reference `taylor:310' on page 61 undefined on input line 2915.


LaTeX Warning: Reference `fours' on page 61 undefined on input line 2923.


[61]

LaTeX Warning: Reference `alggeo:225:conj' on page 62 undefined on input line 2
925.


LaTeX Warning: Reference `alggeo:225:conj2' on page 62 undefined on input line 
2926.


LaTeX Warning: Reference `taylor:320' on page 62 undefined on input line 2939.


LaTeX Warning: Reference `drvtv' on page 62 undefined on input line 2941.


LaTeX Warning: Reference `taylor' on page 62 undefined on input line 2944.


LaTeX Warning: Reference `integ:670' on page 62 undefined on input line 2956.


LaTeX Warning: Reference `taylor' on page 62 undefined on input line 2959.


LaTeX Warning: Reference `trig:280' on page 62 undefined on input line 2961.


LaTeX Warning: Reference `drvtv:230.35' on page 62 undefined on input line 2961
.


LaTeX Warning: Reference `drvtv:240' on page 62 undefined on input line 2962.


LaTeX Warning: Reference `cexp' on page 62 undefined on input line 2963.

)
[62] (./trig.tex
Chapter 3.

LaTeX Warning: Reference `trig:226:f1' on page 63 undefined on input line 19.


LaTeX Warning: Reference `taylor:355' on page 63 undefined on input line 59.


Package pst-pdf Warning: pspicture No. 10 undefined.


[63]

LaTeX Warning: Reference `alggeo:223' on page 64 undefined on input line 200.


LaTeX Warning: Reference `intro' on page 64 undefined on input line 201.


[64]

LaTeX Warning: Reference `trig:226:sinusoid' on page 65 undefined on input line
 212.


LaTeX Warning: Reference `alggeo:225' on page 65 undefined on input line 217.


LaTeX Warning: Reference `alggeo' on page 65 undefined on input line 217.


LaTeX Warning: Reference `alggeo:225:fn1' on page 65 undefined on input line 21
7.


Package pst-pdf Warning: pspicture No. 11 undefined.


LaTeX Warning: Reference `trig:226:f1' on page 65 undefined on input line 262.


LaTeX Warning: Reference `trig:226:10' on page 65 undefined on input line 262.


LaTeX Warning: Reference `trig:226:25' on page 65 undefined on input line 263.


LaTeX Warning: Reference `trig:228:table' on page 65 undefined on input line 26
4.


LaTeX Warning: Reference `alggeo:227' on page 65 undefined on input line 265.


LaTeX Warning: Reference `taylor:370' on page 65 undefined on input line 328.


LaTeX Warning: Reference `matrix' on page 65 undefined on input line 328.


LaTeX Warning: Reference `vector' on page 65 undefined on input line 328.


LaTeX Warning: Reference `trig:231' on page 65 undefined on input line 363.


Package pst-pdf Warning: pspicture No. 12 undefined.


LaTeX Warning: Reference `trig:231f3' on page 65 undefined on input line 406.


Package pst-pdf Warning: pspicture No. 13 undefined.


[65]
[66]

LaTeX Warning: Reference `matrix' on page 67 undefined on input line 549.


LaTeX Warning: Reference `alggeo:225:fig' on page 67 undefined on input line 55
3.


LaTeX Warning: Reference `trig:231f3' on page 67 undefined on input line 557.


[67]

LaTeX Warning: Reference `trig:231f3' on page 68 undefined on input line 614.


LaTeX Warning: Reference `trig:240' on page 68 undefined on input line 633.


LaTeX Warning: Reference `trig:277' on page 68 undefined on input line 633.


LaTeX Warning: Reference `vector' on page 68 undefined on input line 633.


LaTeX Warning: Reference `vcalc' on page 68 undefined on input line 634.


[68]

LaTeX Warning: Reference `trig:240f' on page 69 undefined on input line 668.


Package pst-pdf Warning: pspicture No. 14 undefined.


LaTeX Warning: Reference `trig:226' on page 69 undefined on input line 724.


LaTeX Warning: Reference `trig:240:12' on page 69 undefined on input line 738.


LaTeX Warning: Reference `trig:240:08' on page 69 undefined on input line 739.


LaTeX Warning: Reference `trig:240:rot' on page 69 undefined on input line 746.



[69]

LaTeX Warning: Reference `vector:210' on page 70 undefined on input line 763.


LaTeX Warning: Reference `trig:240' on page 70 undefined on input line 776.


LaTeX Warning: Reference `trig:240:rot2' on page 70 undefined on input line 788
.


[70]

LaTeX Warning: Reference `trig:228:table' on page 71 undefined on input line 83
5.


LaTeX Warning: Reference `trig:250:20' on page 71 undefined on input line 836.


LaTeX Warning: Reference `trig:250:20' on page 71 undefined on input line 844.


LaTeX Warning: Reference `trig:250:22' on page 71 undefined on input line 844.


LaTeX Warning: Reference `trig:250:20' on page 71 undefined on input line 853.


LaTeX Warning: Reference `trig:250:22' on page 71 undefined on input line 854.


LaTeX Warning: Reference `trig:footnote10' on page 71 undefined on input line 8
59.


LaTeX Warning: Reference `trig:250:20' on page 71 undefined on input line 869.


LaTeX Warning: Reference `trig:250:22' on page 71 undefined on input line 870.


Underfull \vbox (badness 2707) has occurred while \output is active
[71]

LaTeX Warning: Reference `trig:250:22' on page 72 undefined on input line 898.


LaTeX Warning: Reference `trig:250:62' on page 72 undefined on input line 906.


LaTeX Warning: Reference `taylor' on page 72 undefined on input line 934.


LaTeX Warning: Citation `KRHB' on page 72 undefined on input line 983.


LaTeX Warning: Reference `trig260:fig1' on page 72 undefined on input line 984.



Package pst-pdf Warning: pspicture No. 15 undefined.


[72]

LaTeX Warning: Reference `trig:hourtable' on page 73 undefined on input line 10
21.


LaTeX Warning: Reference `trig:260:f1' on page 73 undefined on input line 1058.



Package pst-pdf Warning: pspicture No. 16 undefined.


LaTeX Warning: Reference `alggeo:323.30' on page 73 undefined on input line 111
4.


LaTeX Warning: Reference `alggeo:223' on page 73 undefined on input line 1120.


LaTeX Warning: Reference `intro' on page 73 undefined on input line 1121.


LaTeX Warning: Reference `trig:226:f1' on page 73 undefined on input line 1123.



[73]
[74]

LaTeX Warning: Reference `trig:250:20' on page 75 undefined on input line 1136.



LaTeX Warning: Reference `trig:250:22' on page 75 undefined on input line 1136.



LaTeX Warning: Reference `taylor:315' on page 75 undefined on input line 1146.


LaTeX Warning: Reference `trig:250:64' on page 75 undefined on input line 1151.



LaTeX Warning: Reference `trig:270:f1' on page 75 undefined on input line 1162.



Package pst-pdf Warning: pspicture No. 17 undefined.


[75]

LaTeX Warning: Reference `trig:270:f1' on page 76 undefined on input line 1250.



LaTeX Warning: Reference `trig:hourtable' on page 76 undefined on input line 12
76.


LaTeX Warning: Reference `trig:hourtable' on page 76 undefined on input line 12
76.


LaTeX Warning: Reference `trig:228:table' on page 76 undefined on input line 12
78.


LaTeX Warning: Reference `trig:228:table' on page 76 undefined on input line 12
78.


LaTeX Warning: Reference `trig:275:table' on page 76 undefined on input line 12
80.


LaTeX Warning: Reference `trig:275:table' on page 76 undefined on input line 12
80.


LaTeX Warning: Reference `trig:240' on page 76 undefined on input line 1282.


LaTeX Warning: Reference `trig:250' on page 76 undefined on input line 1282.


LaTeX Warning: Reference `trig:270' on page 76 undefined on input line 1282.


LaTeX Warning: Reference `trig:230' on page 76 undefined on input line 1324.


[76]
[77]

LaTeX Warning: Citation `wikip' on page 78 undefined on input line 1335.


LaTeX Warning: Reference `trig:231f3' on page 78 undefined on input line 1337.


LaTeX Warning: Reference `trig:231f3' on page 78 undefined on input line 1337.


LaTeX Warning: Reference `vector:230' on page 78 undefined on input line 1338.


LaTeX Warning: Reference `vector' on page 78 undefined on input line 1366.


LaTeX Warning: Reference `vcalc' on page 78 undefined on input line 1366.


LaTeX Warning: Reference `trig:fig-sphere' on page 78 undefined on input line 1
367.


LaTeX Warning: Reference `trig:277:20' on page 78 undefined on input line 1369.



Package pst-pdf Warning: pspicture No. 18 undefined.


[78]

LaTeX Warning: Reference `trig:277:30' on page 79 undefined on input line 1435.



Underfull \vbox (badness 1383) has occurred while \output is active
[79]

LaTeX Warning: Reference `vector:270' on page 80 undefined on input line 1472.


LaTeX Warning: Reference `alggeo:323:20' on page 80 undefined on input line 148
3.


LaTeX Warning: Reference `alggeo:323.20' on page 80 undefined on input line 148
8.


LaTeX Warning: Reference `alggeo:323.20' on page 80 undefined on input line 149
4.


LaTeX Warning: Reference `intro:284.1' on page 80 undefined on input line 1494.



LaTeX Warning: Reference `alggeo:225:fig' on page 80 undefined on input line 14
97.


LaTeX Warning: Reference `alggeo:225:fig' on page 80 undefined on input line 14
98.


[80]

LaTeX Warning: Reference `trig:278:triangle2' on page 81 undefined on input lin
e 1509.


LaTeX Warning: Reference `trig:278:triangle' on page 81 undefined on input line
 1510.


LaTeX Warning: Reference `mtxinv:447' on page 81 undefined on input line 1516.


LaTeX Warning: Reference `trig:278:triangle' on page 81 undefined on input line
 1522.


LaTeX Warning: Reference `trig:278:triangle' on page 81 undefined on input line
 1526.


LaTeX Warning: Reference `inttx:250:triangle' on page 81 undefined on input lin
e 1529.


LaTeX Warning: Reference `trig:278:triangle' on page 81 undefined on input line
 1529.


LaTeX Warning: Reference `taylor:316.30' on page 81 undefined on input line 153
0.


LaTeX Warning: Reference `alggeo:225:fig' on page 81 undefined on input line 15
45.


LaTeX Warning: Reference `alggeo:225:fig' on page 81 undefined on input line 15
46.


LaTeX Warning: Reference `trig:231' on page 81 undefined on input line 1547.


LaTeX Warning: Reference `trig:231' on page 81 undefined on input line 1547.


LaTeX Warning: Reference `alggeo:225:fig' on page 81 undefined on input line 15
50.


LaTeX Warning: Reference `alggeo:225:10' on page 81 undefined on input line 156
6.


LaTeX Warning: Reference `trig:280:11' on page 81 undefined on input line 1570.



LaTeX Warning: Reference `trig:250:22' on page 81 undefined on input line 1576.



[81]

LaTeX Warning: Reference `trig:280:20' on page 82 undefined on input line 1585.



LaTeX Warning: Reference `trig:280:20' on page 82 undefined on input line 1599.



LaTeX Warning: Reference `trig:280:22' on page 82 undefined on input line 1599.



LaTeX Warning: Reference `trig:280:24' on page 82 undefined on input line 1600.



LaTeX Warning: Reference `trig:280:24' on page 82 undefined on input line 1607.



LaTeX Warning: Citation `Spiegel' on page 82 undefined on input line 1607.


LaTeX Warning: Citation `wikip' on page 82 undefined on input line 1607.


LaTeX Warning: Reference `cexp:230' on page 82 undefined on input line 1609.


LaTeX Warning: Reference `cexp' on page 82 undefined on input line 1614.


LaTeX Warning: Reference `cexp:240' on page 82 undefined on input line 1617.

)
[82] (./drvtv.tex
Chapter 4.

LaTeX Warning: Citation `Hamming' on page 83 undefined on input line 39.


Underfull \vbox (badness 1077) has occurred while \output is active
[83]

LaTeX Warning: Reference `intro:284' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Berkeley' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Courant/Hilbert' on page 84 undefined on input line 14
7.


LaTeX Warning: Citation `Dasgupta' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Fisher' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Frege' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Hardy' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Hersh' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Hersh-book' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Hilbert:geometrie' on page 84 undefined on input line 
147.


LaTeX Warning: Citation `Pinter' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Robinson' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Russell:1903' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Shilov' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Sieg/Schlimm' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Toader' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Tymoczko' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Weierstrass:werke' on page 84 undefined on input line 
147.


LaTeX Warning: Citation `Weiner' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Weyl:1918' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Weyl:1950' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Wilson' on page 84 undefined on input line 147.


LaTeX Warning: Reference `hex' on page 84 undefined on input line 183.


LaTeX Warning: Reference `trig:260' on page 84 undefined on input line 183.


[84]
[85]

LaTeX Warning: Reference `prob' on page 86 undefined on input line 246.


LaTeX Warning: Citation `Hamming' on page 86 undefined on input line 250.


[86]

LaTeX Warning: Reference `drvtv:220:20' on page 87 undefined on input line 297.



LaTeX Warning: Reference `drvtv:220:tbl' on page 87 undefined on input line 306
.


LaTeX Warning: Reference `drvtv:220:20' on page 87 undefined on input line 306.



LaTeX Warning: Reference `drvtv:220:30' on page 87 undefined on input line 307.



LaTeX Warning: Reference `drvtv:220:30' on page 87 undefined on input line 330.



LaTeX Warning: Reference `drvtv:220:30' on page 87 undefined on input line 336.



LaTeX Warning: Reference `drvtv:220.30' on page 87 undefined on input line 337.



LaTeX Warning: Reference `drvtv:220:tbl' on page 87 undefined on input line 389
.


LaTeX Warning: Reference `drvtv:pasc0' on page 87 undefined on input line 396.


LaTeX Warning: Reference `drvtv:pasc' on page 87 undefined on input line 416.


LaTeX Warning: Reference `drvtv:220:tbl' on page 87 undefined on input line 418
.


[87]
[88]

LaTeX Warning: Reference `drvtv:230:binth' on page 89 undefined on input line 4
91.


LaTeX Warning: Reference `taylor:315:tbl' on page 89 undefined on input line 49
1.


Underfull \vbox (badness 10000) has occurred while \output is active
[89]
[90]

LaTeX Warning: Reference `drvtv:230:binthe' on page 91 undefined on input line 
500.


LaTeX Warning: Reference `drvtv:220' on page 91 undefined on input line 503.


LaTeX Warning: Reference `drvtv:230:binthe' on page 91 undefined on input line 
515.


[91]

LaTeX Warning: Reference `drvtv:230:apxex' on page 92 undefined on input line 5
53.


LaTeX Warning: Reference `taylor' on page 92 undefined on input line 555.


LaTeX Warning: Reference `drvtv:230:apxex' on page 92 undefined on input line 5
66.


LaTeX Warning: Reference `drvtv:230:apxe' on page 92 undefined on input line 57
6.


LaTeX Warning: Reference `drvtv:230:apxe' on page 92 undefined on input line 57
8.


LaTeX Warning: Reference `drvtv:230:apxex' on page 92 undefined on input line 5
79.


LaTeX Warning: Reference `drvtv:230:apxe' on page 92 undefined on input line 58
7.


LaTeX Warning: Reference `drvtv:230:apxex' on page 92 undefined on input line 6
08.


[92]

LaTeX Warning: Reference `cexp:230' on page 93 undefined on input line 613.


LaTeX Warning: Reference `drvtv:230:apxe' on page 93 undefined on input line 61
5.


LaTeX Warning: Reference `drvtv:230:apxe' on page 93 undefined on input line 62
9.


LaTeX Warning: Reference `drvtv:240.38' on page 93 undefined on input line 641.



LaTeX Warning: Reference `drvtv:defz' on page 93 undefined on input line 641.


LaTeX Warning: Reference `drvtv:defzunbal' on page 93 undefined on input line 6
41.


LaTeX Warning: Reference `drvtv:def' on page 93 undefined on input line 650.


LaTeX Warning: Reference `drvtv:defunbal' on page 93 undefined on input line 65
1.


LaTeX Warning: Reference `drvtv:def' on page 93 undefined on input line 656.


LaTeX Warning: Citation `Feynman' on page 93 undefined on input line 659.


LaTeX Warning: Citation `Cunningham' on page 93 undefined on input line 659.


LaTeX Warning: Reference `drvtv:def' on page 93 undefined on input line 661.


LaTeX Warning: Reference `drvtv:defz' on page 93 undefined on input line 663.


LaTeX Warning: Reference `drvtv:260' on page 93 undefined on input line 665.


[93]

LaTeX Warning: Reference `drvtv:def' on page 94 undefined on input line 677.


LaTeX Warning: Reference `drvtv:230:apxe' on page 94 undefined on input line 69
1.


LaTeX Warning: Reference `drvtv:240:polyderiv' on page 94 undefined on input li
ne 713.


LaTeX Warning: Citation `Andrews' on page 94 undefined on input line 713.


LaTeX Warning: Reference `drvtv:240:polyderiv' on page 94 undefined on input li
ne 714.


LaTeX Warning: Reference `drvtv:240:polyderiv' on page 94 undefined on input li
ne 720.


LaTeX Warning: Reference `drvtv:240.50' on page 94 undefined on input line 720.



LaTeX Warning: Reference `purec' on page 94 undefined on input line 735.


[94]

LaTeX Warning: Reference `drvtv:def' on page 95 undefined on input line 742.


LaTeX Warning: Reference `drvtv:230:apxe' on page 95 undefined on input line 76
8.


LaTeX Warning: Reference `drvtv:240:50' on page 95 undefined on input line 793.



[95]

LaTeX Warning: Reference `drvtv:240.25' on page 96 undefined on input line 812.



LaTeX Warning: Reference `vcalc' on page 96 undefined on input line 857.


LaTeX Warning: Reference `vcalc:440.cyl:grad' on page 96 undefined on input lin
e 857.


LaTeX Warning: Reference `drvtv:240.405' on page 96 undefined on input line 865
.


LaTeX Warning: Reference `drvtv:240.407' on page 96 undefined on input line 865
.


LaTeX Warning: Reference `integ' on page 96 undefined on input line 873.


LaTeX Warning: Reference `taylor:370' on page 96 undefined on input line 873.


LaTeX Warning: Reference `mtxinv:420' on page 96 undefined on input line 874.


LaTeX Warning: Reference `vcalc' on page 96 undefined on input line 874.


LaTeX Warning: Citation `Jothi/Srin' on page 96 undefined on input line 908.


[96]

LaTeX Warning: Reference `integ' on page 97 undefined on input line 919.


LaTeX Warning: Reference `integ' on page 97 undefined on input line 923.


LaTeX Warning: Citation `Bell:2006' on page 97 undefined on input line 984.


[97]

LaTeX Warning: Reference `intro:284.4' on page 98 undefined on input line 1046.



LaTeX Warning: Citation `vanAtten' on page 98 undefined on input line 1082.


LaTeX Warning: Citation `Bell:Cantor' on page 98 undefined on input line 1084.


[98]

LaTeX Warning: Citation `Bell:2006' on page 99 undefined on input line 1096.


LaTeX Warning: Reference `intro:284.4' on page 99 undefined on input line 1122.



LaTeX Warning: Reference `intro:284.45' on page 99 undefined on input line 1122
.


LaTeX Warning: Reference `drvtv:240.407fn1' on page 99 undefined on input line 
1124.


LaTeX Warning: Citation `Weyl:1918' on page 99 undefined on input line 1128.


LaTeX Warning: Citation `Scholz' on page 99 undefined on input line 1128.


LaTeX Warning: Citation `Robinson' on page 99 undefined on input line 1128.


LaTeX Warning: Citation `Bell:2006' on page 99 undefined on input line 1128.


[99]

LaTeX Warning: Reference `intro:284.4' on page 100 undefined on input line 1140
.


LaTeX Warning: Citation `Shilov' on page 100 undefined on input line 1185.


LaTeX Warning: Reference `intro:284' on page 100 undefined on input line 1192.


LaTeX Warning: Citation `Robinson' on page 100 undefined on input line 1210.


[100]

LaTeX Warning: Reference `drvtv:240.38' on page 101 undefined on input line 122
5.


LaTeX Warning: Citation `Robinson' on page 101 undefined on input line 1251.


LaTeX Warning: Citation `Derbyshire' on page 101 undefined on input line 1257.


[101]

LaTeX Warning: Reference `drvtv:def' on page 102 undefined on input line 1316.


LaTeX Warning: Reference `drvtv:def' on page 102 undefined on input line 1319.


LaTeX Warning: Reference `drvtv:def' on page 102 undefined on input line 1319.


LaTeX Warning: Reference `drvtv:def' on page 102 undefined on input line 1326.


LaTeX Warning: Reference `drvtv:defunbal' on page 102 undefined on input line 1
330.


LaTeX Warning: Reference `drvtv:defz' on page 102 undefined on input line 1337.



LaTeX Warning: Reference `drvtv:defzunbal' on page 102 undefined on input line 
1338.


LaTeX Warning: Reference `drvtv:def' on page 102 undefined on input line 1341.


LaTeX Warning: Reference `drvtv:defz' on page 102 undefined on input line 1341.



LaTeX Warning: Reference `taylor:320' on page 102 undefined on input line 1376.



LaTeX Warning: Citation `WTAng' on page 102 undefined on input line 1376.


LaTeX Warning: Reference `drvtv:defz' on page 102 undefined on input line 1377.



LaTeX Warning: Reference `alggeo:225' on page 102 undefined on input line 1379.



LaTeX Warning: Reference `drvtv:defz' on page 102 undefined on input line 1393.



LaTeX Warning: Reference `drvtv:defz' on page 102 undefined on input line 1396.



LaTeX Warning: Reference `drvtv:def' on page 102 undefined on input line 1397.


LaTeX Warning: Reference `drvtv:defz' on page 102 undefined on input line 1399.



LaTeX Warning: Reference `drvtv:defzunbal' on page 102 undefined on input line 
1399.


[102]

LaTeX Warning: Reference `drvtv:defz' on page 103 undefined on input line 1403.



LaTeX Warning: Reference `alggeo:225.3' on page 103 undefined on input line 141
0.


LaTeX Warning: Reference `integ:670' on page 103 undefined on input line 1411.


LaTeX Warning: Reference `drvtv:defz' on page 103 undefined on input line 1412.



LaTeX Warning: Reference `drvtv:230:apxe' on page 103 undefined on input line 1
417.


LaTeX Warning: Reference `drvtv:240:polyderiv' on page 103 undefined on input l
ine 1422.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1430.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `superscript' on input line 1430.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1430.


LaTeX Warning: Reference `drvtv:240.20' on page 103 undefined on input line 143
4.


LaTeX Warning: Reference `drvtv:230:apxe' on page 103 undefined on input line 1
435.


[103]

LaTeX Warning: Reference `cexp:230' on page 104 undefined on input line 1461.


LaTeX Warning: Reference `cexp:230:33' on page 104 undefined on input line 1462
.


LaTeX Warning: Reference `drvtv:240.30:10' on page 104 undefined on input line 
1463.


LaTeX Warning: Reference `drvtv:defz' on page 104 undefined on input line 1469.



LaTeX Warning: Reference `drvtv:defzunbal' on page 104 undefined on input line 
1470.


LaTeX Warning: Citation `Robinson' on page 104 undefined on input line 1483.


LaTeX Warning: Reference `drvtv:defp' on page 104 undefined on input line 1485.



LaTeX Warning: Reference `drvtv:defpd' on page 104 undefined on input line 1485
.


LaTeX Warning: Reference `drvtv:defz' on page 104 undefined on input line 1487.



LaTeX Warning: Reference `drvtv:defzunbal' on page 104 undefined on input line 
1487.


LaTeX Warning: Reference `drvtv:240.405' on page 104 undefined on input line 14
90.


LaTeX Warning: Reference `drvtv:240.407' on page 104 undefined on input line 14
91.


[104]

LaTeX Warning: Reference `cexp:225' on page 105 undefined on input line 1531.


LaTeX Warning: Reference `drvtv:240.40:10' on page 105 undefined on input line 
1532.


LaTeX Warning: Reference `drvtv:chain' on page 105 undefined on input line 1576
.


Underfull \vbox (badness 10000) has occurred while \output is active
[105]

LaTeX Warning: Reference `drvtv:chain' on page 106 undefined on input line 1580
.


LaTeX Warning: Reference `drvtv:240' on page 106 undefined on input line 1601.


LaTeX Warning: Citation `Spiegel' on page 106 undefined on input line 1601.


LaTeX Warning: Reference `drvtv:defz' on page 106 undefined on input line 1608.



[106]

LaTeX Warning: Reference `drvtv:chain' on page 107 undefined on input line 1646
.


LaTeX Warning: Reference `drvtv:prod' on page 107 undefined on input line 1664.



LaTeX Warning: Reference `cexp' on page 107 undefined on input line 1666.


LaTeX Warning: Reference `drvtv:prod' on page 107 undefined on input line 1667.



[107]

LaTeX Warning: Reference `drvtv:prod2' on page 108 undefined on input line 1704
.


LaTeX Warning: Reference `drvtv:240.30:10' on page 108 undefined on input line 
1704.


LaTeX Warning: Reference `vcalc:440' on page 108 undefined on input line 1716.


LaTeX Warning: Reference `alggeo:228.40' on page 108 undefined on input line 17
21.


LaTeX Warning: Reference `alggeo' on page 108 undefined on input line 1721.


LaTeX Warning: Reference `alggeo:228:fn2' on page 108 undefined on input line 1
721.


LaTeX Warning: Reference `drvtv:255:fig1' on page 108 undefined on input line 1
737.


Package pst-pdf Warning: pspicture No. 19 undefined.


[108]

LaTeX Warning: Reference `drvtv:255:10' on page 109 undefined on input line 177
2.


LaTeX Warning: Reference `drvtv:255:fig2' on page 109 undefined on input line 1
801.


Package pst-pdf Warning: pspicture No. 20 undefined.


LaTeX Warning: Reference `drvtv:255:fig2' on page 109 undefined on input line 1
837.


[109]

LaTeX Warning: Citation `wikip' on page 110 undefined on input line 1862.


LaTeX Warning: Reference `drvtv:240.30:10' on page 110 undefined on input line 
1881.


[110]

LaTeX Warning: Reference `trig' on page 111 undefined on input line 1941.


LaTeX Warning: Reference `cexp' on page 111 undefined on input line 1941.


LaTeX Warning: Reference `part30' on page 111 undefined on input line 1941.


LaTeX Warning: Reference `cexp' on page 111 undefined on input line 1947.


LaTeX Warning: Reference `cexp:225:dln' on page 111 undefined on input line 194
8.


LaTeX Warning: Reference `cexp' on page 111 undefined on input line 1954.


LaTeX Warning: Citation `Shenk' on page 111 undefined on input line 1959.


LaTeX Warning: Reference `cexp:228' on page 111 undefined on input line 1967.


LaTeX Warning: Reference `cexp:228' on page 111 undefined on input line 1969.


[111]

LaTeX Warning: Reference `drvtv:NR' on page 112 undefined on input line 1990.


LaTeX Warning: Reference `drvtv:270:fig1' on page 112 undefined on input line 1
995.


Package pst-pdf Warning: pspicture No. 21 undefined.


LaTeX Warning: Reference `drvtv:270:fig1' on page 112 undefined on input line 2
036.


LaTeX Warning: Reference `trig' on page 112 undefined on input line 2036.


LaTeX Warning: Reference `trig:226:f1' on page 112 undefined on input line 2036
.


LaTeX Warning: Reference `drvtv:NR' on page 112 undefined on input line 2051.


[112]

LaTeX Warning: Reference `drvtv:270:fig1' on page 113 undefined on input line 2
094.


LaTeX Warning: Reference `drvtv:NR' on page 113 undefined on input line 2108.


LaTeX Warning: Reference `drvtv:270:30' on page 113 undefined on input line 211
6.


[113]

LaTeX Warning: Reference `drvtv:270:30' on page 114 undefined on input line 214
6.


LaTeX Warning: Reference `drvtv:270:35' on page 114 undefined on input line 214
6.


LaTeX Warning: Reference `drvtv:270:fig1' on page 114 undefined on input line 2
146.


LaTeX Warning: Reference `trig:280:24' on page 114 undefined on input line 2146
.


LaTeX Warning: Reference `taylor:315:tbl' on page 114 undefined on input line 2
146.


LaTeX Warning: Reference `drvtv:270:35' on page 114 undefined on input line 214
6.


LaTeX Warning: Citation `Shenk' on page 114 undefined on input line 2146.


LaTeX Warning: Citation `Nayfeh/Bal' on page 114 undefined on input line 2146.


LaTeX Warning: Citation `EWW' on page 114 undefined on input line 2146.


LaTeX Warning: Reference `mtxinv:420' on page 114 undefined on input line 2151.



LaTeX Warning: Reference `taylor' on page 114 undefined on input line 2156.

)
[114] (./cexp.tex
Chapter 5.

LaTeX Warning: Reference `trig' on page 115 undefined on input line 22.


[115]

LaTeX Warning: Reference `cexp:220:exp' on page 116 undefined on input line 63.



LaTeX Warning: Reference `cexp:220:dexp' on page 116 undefined on input line 82
.


LaTeX Warning: Reference `drvtv:defz' on page 116 undefined on input line 83.


LaTeX Warning: Reference `drvtv:230:apxex' on page 116 undefined on input line 
83.


[116]

LaTeX Warning: Reference `cexp:220:exp' on page 117 undefined on input line 133
.


LaTeX Warning: Reference `cexp:220:dexp' on page 117 undefined on input line 14
6.


LaTeX Warning: Reference `cexp:220:fig1' on page 117 undefined on input line 17
6.


Package pst-pdf Warning: pspicture No. 22 undefined.


[117]

LaTeX Warning: Reference `cexp:220:26' on page 118 undefined on input line 221.



LaTeX Warning: Reference `cexp:220:26' on page 118 undefined on input line 233.



LaTeX Warning: Reference `cexp:220:dexp' on page 118 undefined on input line 23
8.


LaTeX Warning: Reference `drvtv:240.40' on page 118 undefined on input line 239
.


LaTeX Warning: Reference `cexp:220:dexp' on page 118 undefined on input line 24
8.


LaTeX Warning: Reference `taylor:315:tbl' on page 118 undefined on input line 2
50.


LaTeX Warning: Citation `OEIS' on page 118 undefined on input line 251.


LaTeX Warning: Reference `taylor' on page 118 undefined on input line 256.


LaTeX Warning: Reference `cexp:230' on page 118 undefined on input line 269.


LaTeX Warning: Reference `cexp:220:econst' on page 118 undefined on input line 
270.


[118]

LaTeX Warning: Reference `cexp:225:fig2' on page 119 undefined on input line 28
7.


Package pst-pdf Warning: pspicture No. 23 undefined.


LaTeX Warning: Reference `cexp:220:dexp' on page 119 undefined on input line 33
2.


LaTeX Warning: Reference `alggeo:230:tbl' on page 119 undefined on input line 3
59.


[119]

LaTeX Warning: Citation `OEIS' on page 120 undefined on input line 366.


LaTeX Warning: Reference `taylor' on page 120 undefined on input line 370.


LaTeX Warning: Reference `taylor:315:tbl' on page 120 undefined on input line 3
70.


LaTeX Warning: Reference `drvtv:260:lhopital' on page 120 undefined on input li
ne 388.


LaTeX Warning: Reference `cexp:228:50' on page 120 undefined on input line 412.



[120]

LaTeX Warning: Reference `cexp:228:50' on page 121 undefined on input line 466.



LaTeX Warning: Reference `cexp:225:fig2' on page 121 undefined on input line 47
8.


[121]

LaTeX Warning: Reference `cexp:228:55' on page 122 undefined on input line 506.



LaTeX Warning: Reference `cexp:228:50' on page 122 undefined on input line 511.



LaTeX Warning: Reference `cexp:228:55' on page 122 undefined on input line 511.



Overfull \hbox (10.3507pt too wide) in paragraph at lines 510--516
[]\OT1/cmr/m/n/10.95 It be-fits an ap-plied math-e-mati-cian to in-ter-nal-ize 
sub-jec-tively ([]) and ([]),

LaTeX Warning: Reference `cexp:220' on page 122 undefined on input line 531.


LaTeX Warning: Reference `alggeo:225' on page 122 undefined on input line 537.


LaTeX Warning: Reference `drvtv:230:apxe' on page 122 undefined on input line 5
39.


[122]

LaTeX Warning: Reference `cexp:220' on page 123 undefined on input line 559.


LaTeX Warning: Reference `alggeo:231' on page 123 undefined on input line 574.


LaTeX Warning: Reference `cexp:230:fig' on page 123 undefined on input line 587
.


Package pst-pdf Warning: pspicture No. 24 undefined.


[123]

LaTeX Warning: Reference `cexp:230fn1' on page 124 undefined on input line 706.



[124]

LaTeX Warning: Reference `trig:280' on page 125 undefined on input line 740.


LaTeX Warning: Reference `alggeo:pythag' on page 125 undefined on input line 74
6.


LaTeX Warning: Reference `integ:antider' on page 125 undefined on input line 74
7.


LaTeX Warning: Reference `taylor:cauchy' on page 125 undefined on input line 74
8.


LaTeX Warning: Reference `fouri:eqn' on page 125 undefined on input line 751.


LaTeX Warning: Reference `cexp:euler' on page 125 undefined on input line 751.


LaTeX Warning: Reference `cexp:euler' on page 125 undefined on input line 765.


LaTeX Warning: Reference `taylor:315:tbl' on page 125 undefined on input line 7
65.


LaTeX Warning: Reference `cexp:euler' on page 125 undefined on input line 765.


LaTeX Warning: Reference `cexp:230:fig' on page 125 undefined on input line 768
.


LaTeX Warning: Reference `cexp:euler' on page 125 undefined on input line 768.


[125]

LaTeX Warning: Reference `cexp:230:33' on page 126 undefined on input line 800.



LaTeX Warning: Reference `cexp:euler' on page 126 undefined on input line 805.


LaTeX Warning: Reference `cexp:euler' on page 126 undefined on input line 836.


LaTeX Warning: Reference `alggeo:224:t1' on page 126 undefined on input line 84
4.


LaTeX Warning: Reference `trig:280' on page 126 undefined on input line 855.


LaTeX Warning: Reference `cexp:euler' on page 126 undefined on input line 865.


[126]

LaTeX Warning: Reference `cexp:250:cos' on page 127 undefined on input line 894
.


LaTeX Warning: Reference `cexp:250:sin' on page 127 undefined on input line 894
.


LaTeX Warning: Reference `trig:226:25' on page 127 undefined on input line 903.



LaTeX Warning: Reference `cexp:250:cos' on page 127 undefined on input line 904
.


LaTeX Warning: Reference `cexp:250:sin' on page 127 undefined on input line 904
.


LaTeX Warning: Reference `cexp:250:cosh' on page 127 undefined on input line 90
5.


LaTeX Warning: Reference `cexp:250:sinh' on page 127 undefined on input line 90
5.


LaTeX Warning: Reference `cexp:230:fig' on page 127 undefined on input line 914
.


LaTeX Warning: Reference `cexp:250:cos' on page 127 undefined on input line 916
.


LaTeX Warning: Reference `cexp:250:sinh' on page 127 undefined on input line 91
6.


LaTeX Warning: Reference `cexp:250:pythag' on page 127 undefined on input line 
919.


LaTeX Warning: Reference `vector' on page 127 undefined on input line 944.


LaTeX Warning: Reference `cexp:250:cos' on page 127 undefined on input line 944
.


LaTeX Warning: Reference `cexp:250:sinh' on page 127 undefined on input line 94
4.


LaTeX Warning: Reference `cexp:250:pythag' on page 127 undefined on input line 
944.


LaTeX Warning: Reference `trig:226:f1' on page 127 undefined on input line 944.



LaTeX Warning: Citation `Carson/Huber' on page 127 undefined on input line 944.



LaTeX Warning: Reference `trig:280' on page 127 undefined on input line 953.


[127]

LaTeX Warning: Reference `cexp:250:cos' on page 128 undefined on input line 961
.


LaTeX Warning: Reference `cexp:250:sin' on page 128 undefined on input line 961
.


LaTeX Warning: Reference `cexp:250:cosh' on page 128 undefined on input line 96
2.


LaTeX Warning: Reference `cexp:250:sinh' on page 128 undefined on input line 96
2.


LaTeX Warning: Reference `trig:228:table' on page 128 undefined on input line 9
72.


LaTeX Warning: Reference `trig:275:table' on page 128 undefined on input line 9
72.


LaTeX Warning: Citation `Spiegel' on page 128 undefined on input line 999.


[128]

LaTeX Warning: Reference `cexp:250:cos' on page 129 undefined on input line 100
8.


LaTeX Warning: Reference `alggeo:240:quad' on page 129 undefined on input line 
1023.


[129]

LaTeX Warning: Reference `cexp:tbl-prop' on page 130 undefined on input line 10
67.


LaTeX Warning: Reference `alggeo:225' on page 130 undefined on input line 1068.



LaTeX Warning: Reference `trig:280' on page 130 undefined on input line 1068.


LaTeX Warning: Reference `drvtv:240' on page 130 undefined on input line 1069.


LaTeX Warning: Reference `cexp:250:cos' on page 130 undefined on input line 115
0.


LaTeX Warning: Reference `cexp:250:sin' on page 130 undefined on input line 115
0.


LaTeX Warning: Reference `cexp:320:fig' on page 130 undefined on input line 115
5.


LaTeX Warning: Reference `greek' on page 130 undefined on input line 1160.


Package pst-pdf Warning: pspicture No. 25 undefined.


[130]
[131]

LaTeX Warning: Reference `cexp:320:31' on page 132 undefined on input line 1243
.


LaTeX Warning: Reference `cexp:320:32' on page 132 undefined on input line 1244
.


LaTeX Warning: Reference `cexp:220:dexp' on page 132 undefined on input line 12
62.


LaTeX Warning: Reference `cexp:320:12' on page 132 undefined on input line 1262
.


LaTeX Warning: Reference `cexp:250:pythag' on page 132 undefined on input line 
1264.


LaTeX Warning: Reference `drvtv:250' on page 132 undefined on input line 1266.


LaTeX Warning: Reference `cexp:drv' on page 132 undefined on input line 1267.


LaTeX Warning: Citation `Shenk' on page 132 undefined on input line 1268.


LaTeX Warning: Reference `cexp:drv' on page 132 undefined on input line 1334.


[132]
[133]

LaTeX Warning: Reference `cexp:225' on page 134 undefined on input line 1340.


LaTeX Warning: Reference `cexp:drvi' on page 134 undefined on input line 1363.


LaTeX Warning: Reference `cexp:drvi' on page 134 undefined on input line 1392.


LaTeX Warning: Reference `inttx:210' on page 134 undefined on input line 1393.


[134]

LaTeX Warning: Citation `mathbios' on page 135 undefined on input line 1413.


LaTeX Warning: Reference `cexp:250:cos' on page 135 undefined on input line 142
9.


LaTeX Warning: Reference `cexp:250:sin' on page 135 undefined on input line 143
0.


Underfull \vbox (badness 1062) has occurred while \output is active
[135]

LaTeX Warning: Reference `cexp:230:fig' on page 136 undefined on input line 143
9.


LaTeX Warning: Reference `alggeo:225.2' on page 136 undefined on input line 144
3.


LaTeX Warning: Reference `drvtv:270' on page 136 undefined on input line 1485.


Underfull \hbox (badness 2951) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 varying elec-tric cur-rent of $(5\OML/cmm/m/it/9 :\OT1/cmr/m/n/9
 0 []) []\OMS/cmsy/m/n/9 f\OT1/cmr/m/n/9 +\OML/cmm/m/it/9 i\OT1/cmr/m/n/9 (60 [
][])2\OML/cmm/m/it/9 ^^Yt\OMS/cmsy/m/n/9 g$\OT1/cmr/m/n/9 , an elec-tric ca-

Underfull \hbox (badness 2103) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 pac-i-tor de-vel-ops a voltage---that is, de-vel-ops an elec-tri
c ten-sion or potential---

Underfull \hbox (badness 7116) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 of $(40 []) []\OMS/cmsy/m/n/9 f\OT1/cmr/m/n/9 +\OML/cmm/m/it/9 i
\OT1/cmr/m/n/9 [(60 [][])2\OML/cmm/m/it/9 ^^Yt \OMS/cmsy/m/n/9 ^^@ \OT1/cmr/m/n
/9 2\OML/cmm/m/it/9 ^^Y=\OT1/cmr/m/n/9 4]\OMS/cmsy/m/n/9 g$\OT1/cmr/m/n/9 . It 
im-me-di-ately fol-lows, with-

Underfull \hbox (badness 2591) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 out fur-ther anal-y-sis, that the same ca-pac-i-tor, if fed by a
 time-varying elec-

Underfull \hbox (badness 1681) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 tric cur-rent of $(5\OML/cmm/m/it/9 :\OT1/cmr/m/n/9 0 []) []\OMS
/cmsy/m/n/9 f^^@\OML/cmm/m/it/9 i\OT1/cmr/m/n/9 (60 [][])2\OML/cmm/m/it/9 ^^Yt\
OMS/cmsy/m/n/9 g$\OT1/cmr/m/n/9 , would de-velop a volt-age of

LaTeX Warning: Citation `Stroustrup' on page 136 undefined on input line 1512.


LaTeX Warning: Citation `Feser' on page 136 undefined on input line 1516.


LaTeX Warning: Reference `cexp:euler' on page 136 undefined on input line 1523.



LaTeX Warning: Reference `cexp:250:cos' on page 136 undefined on input line 152
6.


LaTeX Warning: Reference `cexp:250:sin' on page 136 undefined on input line 152
6.


LaTeX Warning: Reference `cexp:250:cos' on page 136 undefined on input line 153
3.


LaTeX Warning: Reference `cexp:250:sin' on page 136 undefined on input line 153
3.


LaTeX Warning: Reference `cexp:euler' on page 136 undefined on input line 1534.



[136])
[137] (./noth.tex
[138]
Chapter 6.

[139]

LaTeX Warning: Citation `Stepney' on page 140 undefined on input line 68.


LaTeX Warning: Citation `Sagan' on page 140 undefined on input line 80.


LaTeX Warning: Citation `wikip' on page 140 undefined on input line 80.


[140]
[141]
[142]

LaTeX Warning: Reference `alggeo:227' on page 143 undefined on input line 238.


LaTeX Warning: Citation `Sagan' on page 143 undefined on input line 254.


[143]

LaTeX Warning: Reference `alggeo:228:tbl-down' on page 144 undefined on input l
ine 299.


LaTeX Warning: Reference `alggeo:228.20' on page 144 undefined on input line 30
5.


LaTeX Warning: Citation `Shilov' on page 144 undefined on input line 324.


[144]

LaTeX Warning: Citation `Hildebrand' on page 145 undefined on input line 350.


LaTeX Warning: Citation `Shilov' on page 145 undefined on input line 350.


LaTeX Warning: Reference `noth:320.20' on page 145 undefined on input line 354.



LaTeX Warning: Reference `alggeo:225:fig' on page 145 undefined on input line 3
76.


LaTeX Warning: Reference `noth:320:50' on page 145 undefined on input line 379.



[145]

LaTeX Warning: Reference `alggeo:240:quad' on page 146 undefined on input line 
424.


LaTeX Warning: Reference `cubic' on page 146 undefined on input line 426.


LaTeX Warning: Citation `EWW-web' on page 146 undefined on input line 435.


LaTeX Warning: Reference `drvtv:270' on page 146 undefined on input line 436.


LaTeX Warning: Reference `noth:320:50' on page 146 undefined on input line 443.



Underfull \vbox (badness 10000) has occurred while \output is active
[146]

LaTeX Warning: Reference `noth:420:10' on page 147 undefined on input line 524.



LaTeX Warning: Reference `noth:420:tbl-plad' on page 147 undefined on input lin
e 526.


[147]
[148]

LaTeX Warning: Reference `noth:420:tbl-plad' on page 149 undefined on input lin
e 582.


LaTeX Warning: Citation `Sedra/Smith' on page 149 undefined on input line 596.


[149]
[150]

LaTeX Warning: Reference `noth:420:40' on page 151 undefined on input line 741.



LaTeX Warning: Reference `noth:420:40' on page 151 undefined on input line 745.



LaTeX Warning: Reference `noth:420:40' on page 151 undefined on input line 752.



LaTeX Warning: Reference `noth:420:40' on page 151 undefined on input line 753.



LaTeX Warning: Reference `noth:420:40' on page 151 undefined on input line 756.



[151]

LaTeX Warning: Reference `hex' on page 152 undefined on input line 773.


LaTeX Warning: Citation `wikip' on page 152 undefined on input line 776.


LaTeX Warning: Citation `A-S' on page 152 undefined on input line 814.

)
[152] (./integ.tex
Chapter 7.

LaTeX Warning: Reference `drvtv' on page 153 undefined on input line 9.


LaTeX Warning: Reference `drvtv' on page 153 undefined on input line 18.


LaTeX Warning: Citation `Hamming' on page 153 undefined on input line 36.


[153]

LaTeX Warning: Reference `integ:220:fig1' on page 154 undefined on input line 6
3.


Package pst-pdf Warning: pspicture No. 26 undefined.


LaTeX Warning: Citation `Hamming' on page 154 undefined on input line 197.


[154]

LaTeX Warning: Reference `drvtv' on page 155 undefined on input line 250.


LaTeX Warning: Citation `wikip' on page 155 undefined on input line 261.


LaTeX Warning: Reference `integ:220:fig2' on page 155 undefined on input line 2
68.


LaTeX Warning: Reference `integ:220:fig1' on page 155 undefined on input line 2
73.


LaTeX Warning: Reference `integ:220:fig1' on page 155 undefined on input line 2
73.


Package pst-pdf Warning: pspicture No. 27 undefined.


[155]

LaTeX Warning: Reference `integ:220.10' on page 156 undefined on input line 316
.


LaTeX Warning: Reference `integ:220.10' on page 156 undefined on input line 320
.


LaTeX Warning: Reference `drvtv:def' on page 156 undefined on input line 356.


[156]

LaTeX Warning: Reference `integ:def' on page 157 undefined on input line 370.


LaTeX Warning: Reference `integ:220:fig-trap' on page 157 undefined on input li
ne 371.


LaTeX Warning: Reference `integ:def' on page 157 undefined on input line 376.


LaTeX Warning: Reference `integ:def' on page 157 undefined on input line 376.


Package pst-pdf Warning: pspicture No. 28 undefined.


LaTeX Warning: Reference `integ:def' on page 157 undefined on input line 505.


LaTeX Warning: Reference `integ:241' on page 157 undefined on input line 505.


LaTeX Warning: Reference `integ:def' on page 157 undefined on input line 505.


[157]

LaTeX Warning: Reference `drvtv:240' on page 158 undefined on input line 520.


LaTeX Warning: Reference `integ:antider' on page 158 undefined on input line 55
7.


LaTeX Warning: Citation `Hamming' on page 158 undefined on input line 563.


LaTeX Warning: Citation `Shenk' on page 158 undefined on input line 563.


LaTeX Warning: Citation `wikip' on page 158 undefined on input line 563.


LaTeX Warning: Reference `integ:antider' on page 158 undefined on input line 56
6.


LaTeX Warning: Reference `integ:antider' on page 158 undefined on input line 62
9.


LaTeX Warning: Reference `integ:antider' on page 158 undefined on input line 62
9.


Package pst-pdf Warning: pspicture No. 29 undefined.


LaTeX Warning: Reference `integ:antider' on page 158 undefined on input line 62
9.


[158]
Underfull \hbox (badness 5607) in paragraph at lines 635--638
[]\OT1/cmr/m/n/10.95 As an ex-am-ple of the for-mula's use, con-sider that be-c
ause

LaTeX Warning: Reference `drvtv:240.30:10' on page 159 undefined on input line 
645.


LaTeX Warning: Reference `cexp:drv' on page 159 undefined on input line 645.


LaTeX Warning: Reference `cexp:drvi' on page 159 undefined on input line 646.


LaTeX Warning: Reference `integ:basic-antider' on page 159 undefined on input l
ine 646.


LaTeX Warning: Reference `inttx:210' on page 159 undefined on input line 676.


[159]

LaTeX Warning: Reference `alggeo:227' on page 160 undefined on input line 711.


[160]
[161]

LaTeX Warning: Reference `drvtv:240' on page 162 undefined on input line 822.


LaTeX Warning: Reference `vcalc:320.15' on page 162 undefined on input line 829
.


[162]

LaTeX Warning: Reference `taylor:316.70' on page 163 undefined on input line 92
0.


LaTeX Warning: Citation `Andrews' on page 163 undefined on input line 922.


[163]

LaTeX Warning: Reference `integ:240:fn20' on page 164 undefined on input line 9
70.


LaTeX Warning: Citation `Knopp' on page 164 undefined on input line 970.


LaTeX Warning: Citation `Hamming' on page 164 undefined on input line 970.


LaTeX Warning: Citation `Andrews' on page 164 undefined on input line 970.


[164]

LaTeX Warning: Citation `Knopp' on page 165 undefined on input line 979.


LaTeX Warning: Reference `integ:240.10' on page 165 undefined on input line 102
4.


LaTeX Warning: Reference `integ:240:fn19' on page 165 undefined on input line 1
043.


[165]

LaTeX Warning: Reference `lapl:350' on page 166 undefined on input line 1106.


[166]

LaTeX Warning: Reference `integ:241:fig0' on page 167 undefined on input line 1
129.


Package pst-pdf Warning: pspicture No. 30 undefined.


LaTeX Warning: Reference `integ:241.07' on page 167 undefined on input line 123
8.


LaTeX Warning: Reference `integ:241:fig0' on page 167 undefined on input line 1
239.


LaTeX Warning: Reference `alggeo:pythag' on page 167 undefined on input line 12
40.


LaTeX Warning: Reference `integ:241:071' on page 167 undefined on input line 12
45.


[167]

LaTeX Warning: Reference `inttx:220' on page 168 undefined on input line 1288.


LaTeX Warning: Reference `inttx:220' on page 168 undefined on input line 1300.


LaTeX Warning: Reference `cexp:drvi' on page 168 undefined on input line 1302.


[168]

LaTeX Warning: Reference `drvtv:250' on page 169 undefined on input line 1323.


LaTeX Warning: Reference `integ:241:083a' on page 169 undefined on input line 1
332.


LaTeX Warning: Reference `integ:241:083c' on page 169 undefined on input line 1
332.


LaTeX Warning: Reference `integ:241:084' on page 169 undefined on input line 13
40.


LaTeX Warning: Reference `integ:antider' on page 169 undefined on input line 13
42.


LaTeX Warning: Reference `integ:230' on page 169 undefined on input line 1342.


LaTeX Warning: Reference `integ:241:082' on page 169 undefined on input line 13
43.


LaTeX Warning: Reference `cexp:tbl-prop' on page 169 undefined on input line 13
52.


LaTeX Warning: Reference `vector:280.05' on page 169 undefined on input line 13
63.


LaTeX Warning: Reference `inttx:440' on page 169 undefined on input line 1364.


LaTeX Warning: Reference `integ:241:082' on page 169 undefined on input line 13
65.


[169]

LaTeX Warning: Reference `integ:241:fig1' on page 170 undefined on input line 1
376.


Package pst-pdf Warning: pspicture No. 31 undefined.


LaTeX Warning: Reference `taylor:355' on page 170 undefined on input line 1439.



LaTeX Warning: Reference `hex' on page 170 undefined on input line 1442.


LaTeX Warning: Citation `Palais:2001' on page 170 undefined on input line 1449.



LaTeX Warning: Reference `integ:241:fig2' on page 170 undefined on input line 1
466.


Package pst-pdf Warning: pspicture No. 32 undefined.


LaTeX Warning: Reference `integ:241:fig2' on page 170 undefined on input line 1
526.


LaTeX Warning: Reference `integ:241:fig2' on page 170 undefined on input line 1
526.


[170]

LaTeX Warning: Reference `integ:fig-sphere' on page 171 undefined on input line
 1552.


Package pst-pdf Warning: pspicture No. 33 undefined.


LaTeX Warning: Reference `integ:fig-sphere' on page 171 undefined on input line
 1561.


Package pst-pdf Warning: pspicture No. 34 undefined.


LaTeX Warning: Reference `integ:fig-sphere2' on page 171 undefined on input lin
e 1668.


LaTeX Warning: Reference `integ:fig-sphere2' on page 171 undefined on input lin
e 1688.


LaTeX Warning: Citation `StarWars' on page 171 undefined on input line 1688.


[171]

LaTeX Warning: Reference `integ:basic-antider' on page 172 undefined on input l
ine 1704.


LaTeX Warning: Reference `integ:241.10' on page 172 undefined on input line 171
2.


LaTeX Warning: Reference `integ:241:V-cone' on page 172 undefined on input line
 1716.


[172]

LaTeX Warning: Reference `integ:241:S-sphere' on page 173 undefined on input li
ne 1727.


LaTeX Warning: Reference `integ:241.10' on page 173 undefined on input line 173
6.


LaTeX Warning: Reference `hex' on page 173 undefined on input line 1761.


LaTeX Warning: Reference `integ:antider' on page 173 undefined on input line 17
80.


[173]

LaTeX Warning: Reference `integ:245:20' on page 174 undefined on input line 178
4.


LaTeX Warning: Reference `integ:245:24' on page 174 undefined on input line 179
7.


LaTeX Warning: Reference `integ:245:20' on page 174 undefined on input line 179
8.


LaTeX Warning: Reference `integ:245:26' on page 174 undefined on input line 180
6.


LaTeX Warning: Reference `integ:245:24' on page 174 undefined on input line 181
2.


LaTeX Warning: Reference `integ:245:26' on page 174 undefined on input line 181
2.


LaTeX Warning: Reference `inttx:250:20' on page 174 undefined on input line 181
4.


LaTeX Warning: Reference `integ:245:24' on page 174 undefined on input line 181
7.


LaTeX Warning: Reference `integ:245:26' on page 174 undefined on input line 181
7.


LaTeX Warning: Reference `integ:241.08' on page 174 undefined on input line 182
6.


LaTeX Warning: Reference `inttx' on page 174 undefined on input line 1826.


[174]

LaTeX Warning: Reference `integ:260:fig' on page 175 undefined on input line 18
57.


Package pst-pdf Warning: pspicture No. 35 undefined.


LaTeX Warning: Reference `integ:260:fig' on page 175 undefined on input line 19
13.


LaTeX Warning: Reference `integ:260:fig' on page 175 undefined on input line 19
31.


LaTeX Warning: Reference `taylor:350' on page 175 undefined on input line 1939.



LaTeX Warning: Reference `inttx:250' on page 175 undefined on input line 1939.


[175]

LaTeX Warning: Reference `integ:670:fig-u' on page 176 undefined on input line 
1974.


Package pst-pdf Warning: pspicture No. 36 undefined.


LaTeX Warning: Reference `integ:670:10' on page 176 undefined on input line 201
5.


LaTeX Warning: Citation `Lathi' on page 176 undefined on input line 2016.


LaTeX Warning: Reference `integ:670:10' on page 176 undefined on input line 202
4.


LaTeX Warning: Reference `lapl' on page 176 undefined on input line 2025.


LaTeX Warning: Reference `integ:670:11' on page 176 undefined on input line 202
6.


LaTeX Warning: Citation `JJH' on page 176 undefined on input line 2050.


LaTeX Warning: Reference `integ:670:fig-d' on page 176 undefined on input line 
2051.


Package pst-pdf Warning: pspicture No. 37 undefined.


[176]

LaTeX Warning: Reference `integ:670:sift' on page 177 undefined on input line 2
094.


LaTeX Warning: Reference `fouri' on page 177 undefined on input line 2145.


LaTeX Warning: Reference `fouri:130' on page 177 undefined on input line 2145.


LaTeX Warning: Citation `Phillips/Parr' on page 177 undefined on input line 214
5.


LaTeX Warning: Citation `Doetsch' on page 177 undefined on input line 2145.


LaTeX Warning: Citation `wikip' on page 177 undefined on input line 2145.


[177]

LaTeX Warning: Reference `integ:670:sift0' on page 178 undefined on input line 
2152.


LaTeX Warning: Reference `integ:260' on page 178 undefined on input line 2216.


[178]

LaTeX Warning: Citation `Shenk' on page 179 undefined on input line 2222.


LaTeX Warning: Citation `Shenk' on page 179 undefined on input line 2226.


LaTeX Warning: Citation `Shenk' on page 179 undefined on input line 2230.


LaTeX Warning: Reference `inttx' on page 179 undefined on input line 2261.


LaTeX Warning: Reference `taylor' on page 179 undefined on input line 2264.

)
[179] (./taylor.tex
[180]
Chapter 8.

LaTeX Warning: Reference `drvtv:240:polyderivz' on page 181 undefined on input 
line 15.


LaTeX Warning: Reference `taylor:310' on page 181 undefined on input line 23.


LaTeX Warning: Reference `taylor:314' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:317' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:320' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:330' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:310' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:325' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:350' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:315' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:355' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:314' on page 181 undefined on input line 47.


LaTeX Warning: Reference `purec' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:314' on page 181 undefined on input line 49.


LaTeX Warning: Reference `taylor:317' on page 181 undefined on input line 50.


LaTeX Warning: Reference `taylor:310' on page 181 undefined on input line 53.


LaTeX Warning: Reference `taylor:314' on page 181 undefined on input line 55.


[181]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 59.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `superscript' on input line 59.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 59.


LaTeX Warning: Reference `taylor:310' on page 182 undefined on input line 63.


LaTeX Warning: Reference `taylor:314.20' on page 182 undefined on input line 70
.


LaTeX Warning: Reference `taylor:314:70' on page 182 undefined on input line 71
.


LaTeX Warning: Reference `taylor:314.10' on page 182 undefined on input line 72
.


LaTeX Warning: Reference `taylor:314.25' on page 182 undefined on input line 73
.


LaTeX Warning: Reference `alggeo:228.30' on page 182 undefined on input line 82
.


LaTeX Warning: Reference `alggeo:228:tbl-up' on page 182 undefined on input lin
e 87.


LaTeX Warning: Reference `drvtv:pasc' on page 182 undefined on input line 94.


LaTeX Warning: Reference `drvtv:pasc' on page 182 undefined on input line 95.


LaTeX Warning: Reference `drvtv:pasc0' on page 182 undefined on input line 95.


LaTeX Warning: Reference `taylor:314:70' on page 182 undefined on input line 99
.


[182]

LaTeX Warning: Reference `taylor:314:30' on page 183 undefined on input line 12
1.


LaTeX Warning: Reference `drvtv:220:tbl' on page 183 undefined on input line 12
2.


LaTeX Warning: Reference `taylor:314:30' on page 183 undefined on input line 12
7.


LaTeX Warning: Reference `taylor:314:50' on page 183 undefined on input line 13
4.


LaTeX Warning: Reference `taylor:314:30' on page 183 undefined on input line 13
4.


LaTeX Warning: Reference `taylor:314:50' on page 183 undefined on input line 14
2.


LaTeX Warning: Reference `drvtv:220:tbl' on page 183 undefined on input line 14
7.


LaTeX Warning: Reference `taylor:314:30' on page 183 undefined on input line 15
1.


LaTeX Warning: Reference `taylor:314:60' on page 183 undefined on input line 15
5.


LaTeX Warning: Reference `taylor:314:10' on page 183 undefined on input line 15
6.


LaTeX Warning: Reference `taylor:314:70' on page 183 undefined on input line 15
6.


LaTeX Warning: Reference `taylor:314:70' on page 183 undefined on input line 15
8.


LaTeX Warning: Reference `taylor:314:30' on page 183 undefined on input line 16
0.


LaTeX Warning: Reference `taylor:314:70' on page 183 undefined on input line 16
3.


LaTeX Warning: Reference `taylor:314:70' on page 183 undefined on input line 17
1.


[183]

LaTeX Warning: Reference `taylor:314:51' on page 184 undefined on input line 18
2.


LaTeX Warning: Reference `taylor:314:70' on page 184 undefined on input line 18
8.


LaTeX Warning: Reference `taylor:315:11' on page 184 undefined on input line 19
4.


LaTeX Warning: Reference `taylor:315:10' on page 184 undefined on input line 20
2.


LaTeX Warning: Reference `taylor:315:15' on page 184 undefined on input line 20
7.


LaTeX Warning: Reference `taylor:315:20' on page 184 undefined on input line 20
7.


LaTeX Warning: Reference `taylor:314:70' on page 184 undefined on input line 20
8.


LaTeX Warning: Reference `alggeo:228:45' on page 184 undefined on input line 22
2.


LaTeX Warning: Reference `taylor:314:70' on page 184 undefined on input line 23
1.


LaTeX Warning: Citation `Andrews' on page 184 undefined on input line 262.


LaTeX Warning: Reference `inttx:460' on page 184 undefined on input line 262.


LaTeX Warning: Reference `drvtv:220:tbl' on page 184 undefined on input line 26
3.


[184]

LaTeX Warning: Reference `taylor:314:70' on page 185 undefined on input line 28
2.


LaTeX Warning: Reference `taylor:314:80' on page 185 undefined on input line 28
9.


LaTeX Warning: Reference `taylor:314:70' on page 185 undefined on input line 29
3.


LaTeX Warning: Reference `cexp:225:dln' on page 185 undefined on input line 307
.


LaTeX Warning: Reference `taylor:316' on page 185 undefined on input line 307.


[185]

LaTeX Warning: Reference `alggeo:228.30' on page 186 undefined on input line 31
3.


LaTeX Warning: Reference `trig:278:triangle' on page 186 undefined on input lin
e 313.


LaTeX Warning: Reference `taylor:314:83' on page 186 undefined on input line 31
9.


LaTeX Warning: Reference `taylor:314:70' on page 186 undefined on input line 32
0.


LaTeX Warning: Reference `taylor:314:70' on page 186 undefined on input line 32
5.


LaTeX Warning: Reference `taylor:314.20' on page 186 undefined on input line 32
7.


LaTeX Warning: Reference `taylor:314.10' on page 186 undefined on input line 33
3.


LaTeX Warning: Citation `Hamming' on page 186 undefined on input line 347.


[186]

LaTeX Warning: Citation `Hamming' on page 187 undefined on input line 353.


LaTeX Warning: Citation `Hamming' on page 187 undefined on input line 367.


LaTeX Warning: Reference `taylor:310' on page 187 undefined on input line 390.


LaTeX Warning: Reference `taylor:317:30' on page 187 undefined on input line 40
5.


[187]

LaTeX Warning: Reference `taylor:317:51' on page 188 undefined on input line 42
3.


LaTeX Warning: Reference `taylor:314:70' on page 188 undefined on input line 43
0.


LaTeX Warning: Reference `drvtv:230:binthe' on page 188 undefined on input line
 439.


LaTeX Warning: Reference `taylor:317:30' on page 188 undefined on input line 45
0.


LaTeX Warning: Reference `taylor:317:52p' on page 188 undefined on input line 4
50.


LaTeX Warning: Reference `taylor:314:83' on page 188 undefined on input line 45
6.


[188]

LaTeX Warning: Reference `taylor:320' on page 189 undefined on input line 466.


LaTeX Warning: Reference `taylor:350' on page 189 undefined on input line 467.


LaTeX Warning: Reference `taylor:317:52q' on page 189 undefined on input line 4
74.


LaTeX Warning: Reference `taylor:317:52p' on page 189 undefined on input line 4
74.


LaTeX Warning: Reference `taylor:317:30' on page 189 undefined on input line 47
7.


LaTeX Warning: Reference `taylor:314:83' on page 189 undefined on input line 47
9.


LaTeX Warning: Reference `taylor:317:52' on page 189 undefined on input line 48
0.


LaTeX Warning: Reference `taylor:317:52q' on page 189 undefined on input line 4
81.


LaTeX Warning: Reference `taylor:310' on page 189 undefined on input line 485.


LaTeX Warning: Reference `taylor:317:52p' on page 189 undefined on input line 4
85.


LaTeX Warning: Reference `taylor:310' on page 189 undefined on input line 502.


LaTeX Warning: Reference `drvtv:220:tbl' on page 189 undefined on input line 50
2.


LaTeX Warning: Reference `taylor:310' on page 189 undefined on input line 502.


Underfull \vbox (badness 10000) has occurred while \output is active
[189]

LaTeX Warning: Reference `taylor:314' on page 190 undefined on input line 519.


LaTeX Warning: Reference `taylor:315' on page 190 undefined on input line 524.


LaTeX Warning: Reference `taylor:310:20' on page 190 undefined on input line 53
9.


LaTeX Warning: Citation `Arnold:1997' on page 190 undefined on input line 569.


LaTeX Warning: Citation `Fisher' on page 190 undefined on input line 569.


LaTeX Warning: Citation `Spiegel' on page 190 undefined on input line 569.


LaTeX Warning: Citation `Shilov' on page 190 undefined on input line 569.


LaTeX Warning: Citation `Hildebrand' on page 190 undefined on input line 569.


LaTeX Warning: Citation `Shilov' on page 190 undefined on input line 569.


LaTeX Warning: Citation `Kohler-lecture' on page 190 undefined on input line 56
9.


LaTeX Warning: Citation `TAndrews' on page 190 undefined on input line 569.


LaTeX Warning: Reference `purec' on page 190 undefined on input line 569.


LaTeX Warning: Reference `purec' on page 190 undefined on input line 570.


LaTeX Warning: Reference `taylor:315' on page 190 undefined on input line 573.


[190]

LaTeX Warning: Reference `alggeo:225.3' on page 191 undefined on input line 595
.


LaTeX Warning: Reference `taylor:317' on page 191 undefined on input line 605.


LaTeX Warning: Citation `Spiegel' on page 191 undefined on input line 653.


[191]

LaTeX Warning: Reference `taylor:317' on page 192 undefined on input line 657.


LaTeX Warning: Reference `taylor:385' on page 192 undefined on input line 672.


LaTeX Warning: Citation `Fisher' on page 192 undefined on input line 706.


LaTeX Warning: Citation `Spiegel' on page 192 undefined on input line 706.


LaTeX Warning: Citation `Hildebrand' on page 192 undefined on input line 706.


LaTeX Warning: Citation `Shilov' on page 192 undefined on input line 706.


LaTeX Warning: Reference `purec' on page 192 undefined on input line 706.


LaTeX Warning: Reference `alggeo:225' on page 192 undefined on input line 753.


LaTeX Warning: Reference `integ:670' on page 192 undefined on input line 753.


LaTeX Warning: Reference `drvtv:defz' on page 192 undefined on input line 755.


[192]

LaTeX Warning: Citation `wikip' on page 193 undefined on input line 797.


LaTeX Warning: Reference `taylor:325fig' on page 193 undefined on input line 81
1.


Package pst-pdf Warning: pspicture No. 38 undefined.


LaTeX Warning: Reference `integ:fig-sphere' on page 193 undefined on input line
 860.


LaTeX Warning: Reference `taylor:325fig' on page 193 undefined on input line 86
1.


[193]
[194]

LaTeX Warning: Reference `taylor:350' on page 195 undefined on input line 906.


LaTeX Warning: Citation `Hildebrand' on page 195 undefined on input line 919.


LaTeX Warning: Reference `cexp:228' on page 195 undefined on input line 922.


LaTeX Warning: Reference `taylor:325figln' on page 195 undefined on input line 
926.


Package pst-pdf Warning: pspicture No. 39 undefined.


LaTeX Warning: Reference `taylor:350' on page 195 undefined on input line 970.


LaTeX Warning: Citation `EWW' on page 195 undefined on input line 990.


LaTeX Warning: Citation `Spiegel' on page 195 undefined on input line 993.


LaTeX Warning: Citation `Lebedev' on page 195 undefined on input line 1012.


LaTeX Warning: Citation `Spiegel' on page 195 undefined on input line 1012.


LaTeX Warning: Citation `Lebedev' on page 195 undefined on input line 1012.


LaTeX Warning: Citation `Kohler-lecture' on page 195 undefined on input line 10
23.


[195]

LaTeX Warning: Reference `taylor:315' on page 196 undefined on input line 1034.



LaTeX Warning: Reference `taylor:315:tbl' on page 196 undefined on input line 1
034.


LaTeX Warning: Reference `cexp:250:cos' on page 196 undefined on input line 104
9.


LaTeX Warning: Reference `taylor:380' on page 196 undefined on input line 1053.



LaTeX Warning: Reference `taylor:385' on page 196 undefined on input line 1053.



LaTeX Warning: Reference `inttx:260' on page 196 undefined on input line 1053.


LaTeX Warning: Reference `taylor:310:20' on page 196 undefined on input line 10
62.


[196]

LaTeX Warning: Reference `drvtv:240.38' on page 197 undefined on input line 111
4.


LaTeX Warning: Reference `taylor:335:10' on page 197 undefined on input line 11
26.


LaTeX Warning: Citation `deSturler-lecture' on page 197 undefined on input line
 1148.


LaTeX Warning: Citation `Kohler-lecture' on page 197 undefined on input line 11
48.


[197]

LaTeX Warning: Reference `integ:260' on page 198 undefined on input line 1169.


LaTeX Warning: Reference `integ:260:fig' on page 198 undefined on input line 11
72.


LaTeX Warning: Reference `alggeo:225:fig' on page 198 undefined on input line 1
178.


LaTeX Warning: Reference `integ:230' on page 198 undefined on input line 1185.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1193.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1193.


[198]

LaTeX Warning: Reference `taylor:350:10' on page 199 undefined on input line 12
48.


LaTeX Warning: Reference `taylor:350:fig1' on page 199 undefined on input line 
1249.


Package pst-pdf Warning: pspicture No. 40 undefined.


[199]

LaTeX Warning: Reference `taylor:350:dz' on page 200 undefined on input line 13
51.


LaTeX Warning: Reference `taylor:350:20' on page 200 undefined on input line 13
60.


Overfull \hbox (1.25618pt too wide) in paragraph at lines 1359--1362
[]\OT1/cmr/m/n/10.95 The ap-plied math-e-mati-cian might rea-son-ably ask, ``Wa
s ([]) re-ally worth

[200]

LaTeX Warning: Reference `taylor:350:20' on page 201 undefined on input line 13
65.


LaTeX Warning: Reference `cexp:225:dln' on page 201 undefined on input line 137
0.


LaTeX Warning: Reference `alggeo:230:311' on page 201 undefined on input line 1
371.


LaTeX Warning: Reference `integ:260' on page 201 undefined on input line 1404.


LaTeX Warning: Reference `taylor:350:20' on page 201 undefined on input line 14
12.


LaTeX Warning: Reference `taylor:cauchy0' on page 201 undefined on input line 1
418.


LaTeX Warning: Reference `taylor:350:21' on page 201 undefined on input line 14
27.


[201]

LaTeX Warning: Reference `taylor:cauchyf' on page 202 undefined on input line 1
453.


LaTeX Warning: Reference `taylor:317' on page 202 undefined on input line 1453.



LaTeX Warning: Reference `taylor:cauchy0' on page 202 undefined on input line 1
458.


LaTeX Warning: Reference `taylor:cauchyf' on page 202 undefined on input line 1
458.


LaTeX Warning: Reference `taylor:cauchy0' on page 202 undefined on input line 1
467.


LaTeX Warning: Reference `taylor:350:fig2' on page 202 undefined on input line 
1472.


Package pst-pdf Warning: pspicture No. 41 undefined.


LaTeX Warning: Reference `taylor:cauchyf' on page 202 undefined on input line 1
524.


LaTeX Warning: Reference `taylor:cauchy' on page 202 undefined on input line 15
29.


LaTeX Warning: Reference `taylor:cauchy' on page 202 undefined on input line 15
32.


[202]

LaTeX Warning: Reference `alggeo:250' on page 203 undefined on input line 1538.



LaTeX Warning: Reference `inttx:260.20' on page 203 undefined on input line 153
9.


LaTeX Warning: Reference `integ:240.05' on page 203 undefined on input line 154
0.


LaTeX Warning: Citation `Lebedev' on page 203 undefined on input line 1546.


LaTeX Warning: Reference `taylor:cauchyn' on page 203 undefined on input line 1
550.


LaTeX Warning: Reference `taylor:cauchyn' on page 203 undefined on input line 1
553.


LaTeX Warning: Reference `inttx:250' on page 203 undefined on input line 1557.


LaTeX Warning: Reference `taylor:cauchy' on page 203 undefined on input line 15
58.


LaTeX Warning: Reference `taylor:cauchyn' on page 203 undefined on input line 1
558.


LaTeX Warning: Citation `Hildebrand' on page 203 undefined on input line 1564.


LaTeX Warning: Citation `Spiegel' on page 203 undefined on input line 1564.


LaTeX Warning: Citation `wikip' on page 203 undefined on input line 1564.


LaTeX Warning: Reference `taylor:310:20' on page 203 undefined on input line 15
80.


[203]

LaTeX Warning: Reference `taylor:cauchy0' on page 204 undefined on input line 1
587.


LaTeX Warning: Reference `taylor:cauchy' on page 204 undefined on input line 16
02.


LaTeX Warning: Reference `taylor:350:30' on page 204 undefined on input line 16
08.


LaTeX Warning: Reference `taylor:cauchy' on page 204 undefined on input line 16
09.


LaTeX Warning: Citation `Kohler-lecture' on page 204 undefined on input line 16
12.


LaTeX Warning: Citation `Spiegel' on page 204 undefined on input line 1612.


LaTeX Warning: Reference `taylor:310:20' on page 204 undefined on input line 16
20.


LaTeX Warning: Reference `cexp:drv' on page 204 undefined on input line 1621.


LaTeX Warning: Reference `cexp:drvi' on page 204 undefined on input line 1621.


LaTeX Warning: Reference `drvtv:240.30:10' on page 204 undefined on input line 
1622.


Underfull \vbox (badness 1237) has occurred while \output is active
[204]

LaTeX Warning: Reference `taylor:316.80' on page 205 undefined on input line 16
65.


LaTeX Warning: Reference `taylor:315:tbl' on page 205 undefined on input line 1
669.


LaTeX Warning: Citation `Shenk' on page 205 undefined on input line 1695.


LaTeX Warning: Reference `cexp:drvi' on page 205 undefined on input line 1696.


LaTeX Warning: Reference `alggeo:228:40' on page 205 undefined on input line 16
96.


LaTeX Warning: Reference `taylor:315:tbl' on page 205 undefined on input line 1
710.


[205]
[206]

LaTeX Warning: Reference `purec' on page 207 undefined on input line 1726.


LaTeX Warning: Reference `purec' on page 207 undefined on input line 1727.


LaTeX Warning: Reference `purec' on page 207 undefined on input line 1729.


LaTeX Warning: Reference `purec' on page 207 undefined on input line 1730.


LaTeX Warning: Reference `taylor:315:tbl' on page 207 undefined on input line 1
759.


[207]

LaTeX Warning: Reference `alggeo:228:45' on page 208 undefined on input line 17
93.


[208]

LaTeX Warning: Reference `integ:basic-antider' on page 209 undefined on input l
ine 1830.


LaTeX Warning: Reference `taylor:316:fig-maj' on page 209 undefined on input li
ne 1835.


Package pst-pdf Warning: pspicture No. 42 undefined.


LaTeX Warning: Reference `taylor:316:fig-maj' on page 209 undefined on input li
ne 1983.


[209]

LaTeX Warning: Reference `fours:140.60' on page 210 undefined on input line 200
1.


LaTeX Warning: Reference `taylor:316.25' on page 210 undefined on input line 20
18.


LaTeX Warning: Reference `taylor:315:tbl' on page 210 undefined on input line 2
027.


LaTeX Warning: Reference `taylor:315:tbl' on page 210 undefined on input line 2
032.


LaTeX Warning: Citation `Peterson/Mittra:1986' on page 210 undefined on input l
ine 2056.


LaTeX Warning: Citation `vdVorst' on page 210 undefined on input line 2056.


LaTeX Warning: Reference `taylor:316:34' on page 210 undefined on input line 20
56.


Underfull \vbox (badness 2119) has occurred while \output is active
[210]

LaTeX Warning: Reference `alggeo:228:45' on page 211 undefined on input line 20
64.


LaTeX Warning: Reference `trig:278:triangle' on page 211 undefined on input lin
e 2065.


LaTeX Warning: Reference `taylor:316:30' on page 211 undefined on input line 20
66.


LaTeX Warning: Reference `taylor:315:tbl' on page 211 undefined on input line 2
075.


LaTeX Warning: Reference `taylor:315:tbl' on page 211 undefined on input line 2
101.


[211]

LaTeX Warning: Reference `taylor:315:tbl' on page 212 undefined on input line 2
126.


LaTeX Warning: Reference `taylor:317' on page 212 undefined on input line 2132.



LaTeX Warning: Reference `taylor:330' on page 212 undefined on input line 2133.



[212]

LaTeX Warning: Reference `taylor:316.80fn' on page 213 undefined on input line 
2187.


LaTeX Warning: Reference `taylor:316:85' on page 213 undefined on input line 21
88.


LaTeX Warning: Reference `taylor:315:tbl' on page 213 undefined on input line 2
195.


LaTeX Warning: Reference `taylor:316:83' on page 213 undefined on input line 22
02.


LaTeX Warning: Reference `taylor:316:92' on page 213 undefined on input line 22
32.


LaTeX Warning: Reference `trig:228:table' on page 213 undefined on input line 2
232.


LaTeX Warning: Reference `taylor:355' on page 213 undefined on input line 2232.



[213]

LaTeX Warning: Reference `taylor:316:90' on page 214 undefined on input line 22
34.


LaTeX Warning: Reference `taylor:316:90' on page 214 undefined on input line 22
42.


LaTeX Warning: Reference `taylor:316:83' on page 214 undefined on input line 22
45.


LaTeX Warning: Reference `taylor:316:92' on page 214 undefined on input line 22
46.


LaTeX Warning: Reference `taylor:316:83' on page 214 undefined on input line 22
48.


LaTeX Warning: Reference `taylor:315:tbl' on page 214 undefined on input line 2
277.


LaTeX Warning: Reference `trig:240:rot' on page 214 undefined on input line 227
7.


[214]

LaTeX Warning: Reference `prob' on page 215 undefined on input line 2338.


[215]

LaTeX Warning: Citation `Brown-conversation' on page 216 undefined on input lin
e 2350.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2358.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `\pi' on input line 2358.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2358.


LaTeX Warning: Reference `taylor:315:tbl' on page 216 undefined on input line 2
362.


LaTeX Warning: Reference `taylor:355:10' on page 216 undefined on input line 23
72.


LaTeX Warning: Reference `trig:hourtable' on page 216 undefined on input line 2
374.


LaTeX Warning: Citation `OEIS' on page 216 undefined on input line 2379.


[216]

LaTeX Warning: Reference `fouri:110.65' on page 217 undefined on input line 244
0.


[217]

LaTeX Warning: Reference `taylor:382:10' on page 218 undefined on input line 24
93.


LaTeX Warning: Reference `cexp:tbl-prop' on page 218 undefined on input line 24
94.


LaTeX Warning: Reference `cexp:drv' on page 218 undefined on input line 2494.


LaTeX Warning: Reference `drvtv:260:lhopital' on page 218 undefined on input li
ne 2495.


LaTeX Warning: Reference `taylor:382:10' on page 218 undefined on input line 24
97.


LaTeX Warning: Reference `trig:226:f1' on page 218 undefined on input line 2502
.


LaTeX Warning: Reference `cexp:tbl-prop' on page 218 undefined on input line 25
03.


LaTeX Warning: Reference `taylor:382:10' on page 218 undefined on input line 25
05.


LaTeX Warning: Reference `taylor:382:10' on page 218 undefined on input line 25
22.


LaTeX Warning: Reference `taylor:330' on page 218 undefined on input line 2529.



LaTeX Warning: Citation `Kohler-lecture' on page 218 undefined on input line 25
31.


[218]
Underfull \vbox (badness 10000) has occurred while \output is active
[219]

LaTeX Warning: Reference `taylor:380:30' on page 220 undefined on input line 26
52.


[220]

LaTeX Warning: Reference `taylor:380:40' on page 221 undefined on input line 26
71.


LaTeX Warning: Citation `Hildebrand' on page 221 undefined on input line 2686.


LaTeX Warning: Citation `Fisher' on page 221 undefined on input line 2686.


LaTeX Warning: Reference `inttx:250' on page 221 undefined on input line 2688.


LaTeX Warning: Reference `inttx:260' on page 221 undefined on input line 2688.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2694.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2694.


LaTeX Warning: Reference `taylor:380' on page 221 undefined on input line 2699.



[221]

LaTeX Warning: Reference `taylor:314:70' on page 222 undefined on input line 27
38.


LaTeX Warning: Reference `drvtv:220:30' on page 222 undefined on input line 273
8.


LaTeX Warning: Reference `taylor:310:20' on page 222 undefined on input line 27
63.


LaTeX Warning: Reference `taylor:310:20' on page 222 undefined on input line 27
76.


[222]

LaTeX Warning: Reference `trig:230' on page 223 undefined on input line 2806.


LaTeX Warning: Reference `matrix' on page 223 undefined on input line 2806.


[223]

LaTeX Warning: Reference `taylor:370:10' on page 224 undefined on input line 28
39.


LaTeX Warning: Reference `taylor:370:10' on page 224 undefined on input line 28
42.


LaTeX Warning: Reference `taylor:310:20' on page 224 undefined on input line 28
43.

)
[224] (./inttx.tex
Chapter 9.

LaTeX Warning: Reference `drvtv:defz' on page 225 undefined on input line 7.


LaTeX Warning: Reference `integ:def' on page 225 undefined on input line 8.


LaTeX Warning: Reference `integ:230' on page 225 undefined on input line 43.


[225]

LaTeX Warning: Reference `trig:hourtable' on page 226 undefined on input line 5
2.


LaTeX Warning: Reference `cexp:drvi' on page 226 undefined on input line 53.


LaTeX Warning: Reference `integ:basic-antider' on page 226 undefined on input l
ine 65.


LaTeX Warning: Reference `cexp:drv' on page 226 undefined on input line 65.


LaTeX Warning: Reference `cexp:drvi' on page 226 undefined on input line 65.


LaTeX Warning: Reference `inttx:470:tbl' on page 226 undefined on input line 66
.


LaTeX Warning: Reference `taylor:350:31' on page 226 undefined on input line 74
.


LaTeX Warning: Reference `taylor:350:32' on page 226 undefined on input line 74
.


[226]

LaTeX Warning: Reference `integ:245' on page 227 undefined on input line 114.


LaTeX Warning: Reference `inttx:220' on page 227 undefined on input line 140.


LaTeX Warning: Reference `inttx:reversal:10' on page 227 undefined on input lin
e 156.


[227]

LaTeX Warning: Reference `fouri:110.30' on page 228 undefined on input line 175
.


LaTeX Warning: Reference `drvtv:prod2' on page 228 undefined on input line 208.



LaTeX Warning: Reference `inttx:parts' on page 228 undefined on input line 221.



[228]

LaTeX Warning: Reference `inttx:parts' on page 229 undefined on input line 250.



LaTeX Warning: Reference `gamma:110' on page 229 undefined on input line 269.


LaTeX Warning: Reference `inttx:antider' on page 229 undefined on input line 28
2.


[229]
[230]

LaTeX Warning: Reference `inttx:240:26' on page 231 undefined on input line 355
.


LaTeX Warning: Reference `inttx:240:26' on page 231 undefined on input line 379
.


LaTeX Warning: Reference `inttx:240:27' on page 231 undefined on input line 382
.


LaTeX Warning: Reference `inttx:240:27' on page 231 undefined on input line 397
.


[231]

LaTeX Warning: Reference `inttx:240:26' on page 232 undefined on input line 403
.


LaTeX Warning: Reference `inttx:240:29' on page 232 undefined on input line 405
.


LaTeX Warning: Citation `Lebedev' on page 232 undefined on input line 430.


LaTeX Warning: Reference `taylor:cauchy' on page 232 undefined on input line 43
9.


LaTeX Warning: Reference `inttx:250:fig1' on page 232 undefined on input line 4
52.


Package pst-pdf Warning: pspicture No. 43 undefined.


[232]
[233]

LaTeX Warning: Reference `integ:def' on page 234 undefined on input line 585.


LaTeX Warning: Reference `taylor:cauchy' on page 234 undefined on input line 58
5.


LaTeX Warning: Reference `gamma:220' on page 234 undefined on input line 586.


LaTeX Warning: Citation `Kohler-lecture' on page 234 undefined on input line 58
9.


[234]

LaTeX Warning: Reference `noth' on page 235 undefined on input line 632.


LaTeX Warning: Reference `noth:420:85' on page 235 undefined on input line 632.



LaTeX Warning: Reference `taylor:cauchy' on page 235 undefined on input line 65
1.


[235]

LaTeX Warning: Reference `trig:278:triangle' on page 236 undefined on input lin
e 686.


LaTeX Warning: Reference `fours:160.35' on page 236 undefined on input line 689
.


LaTeX Warning: Citation `Phillips/Parr' on page 236 undefined on input line 703
.


LaTeX Warning: Citation `Hildebrand' on page 236 undefined on input line 703.


LaTeX Warning: Reference `inttx:intinvz' on page 236 undefined on input line 73
4.


[236]

LaTeX Warning: Reference `inttx:260:20' on page 237 undefined on input line 762
.


LaTeX Warning: Reference `inttx:260:10' on page 237 undefined on input line 768
.


LaTeX Warning: Reference `inttx:260:10' on page 237 undefined on input line 768
.


LaTeX Warning: Reference `inttx:260:20' on page 237 undefined on input line 769
.


LaTeX Warning: Reference `inttx:260:20' on page 237 undefined on input line 779
.


LaTeX Warning: Reference `inttx:260:20' on page 237 undefined on input line 801
.


LaTeX Warning: Reference `inttx:260:25' on page 237 undefined on input line 801
.


LaTeX Warning: Reference `inttx:260:10' on page 237 undefined on input line 802
.


LaTeX Warning: Reference `inttx:260.10' on page 237 undefined on input line 817
.


LaTeX Warning: Reference `inttx:260:25' on page 237 undefined on input line 820
.


LaTeX Warning: Reference `inttx:260.50' on page 237 undefined on input line 823
.


[237]

LaTeX Warning: Reference `alggeo:228:45' on page 238 undefined on input line 84
3.


LaTeX Warning: Reference `fours:080' on page 238 undefined on input line 869.


[238]

LaTeX Warning: Reference `inttx:260:40' on page 239 undefined on input line 895
.


LaTeX Warning: Reference `inttx:260:30' on page 239 undefined on input line 909
.


LaTeX Warning: Reference `inttx:260.10' on page 239 undefined on input line 911
.


Underfull \vbox (badness 3354) has occurred while \output is active
[239]
[240]

LaTeX Warning: Reference `inttx:260.30' on page 241 undefined on input line 995
.


LaTeX Warning: Reference `inttx:260:10' on page 241 undefined on input line 101
9.


LaTeX Warning: Reference `inttx:260:20' on page 241 undefined on input line 101
9.


LaTeX Warning: Reference `inttx:260:25' on page 241 undefined on input line 102
0.


LaTeX Warning: Reference `inttx:260:30' on page 241 undefined on input line 102
0.


LaTeX Warning: Reference `inttx:260.21' on page 241 undefined on input line 102
4.


Underfull \vbox (badness 10000) has occurred while \output is active
[241]

LaTeX Warning: Reference `integ:245' on page 242 undefined on input line 1073.


LaTeX Warning: Reference `lapl:250' on page 242 undefined on input line 1100.


LaTeX Warning: Reference `fouri' on page 242 undefined on input line 1101.


[242]

LaTeX Warning: Reference `inttx:260:83' on page 243 undefined on input line 112
6.


LaTeX Warning: Reference `inttx:260:80' on page 243 undefined on input line 112
7.


LaTeX Warning: Reference `inttx:260:83' on page 243 undefined on input line 112
7.


LaTeX Warning: Reference `drvtv:proddiv2' on page 243 undefined on input line 1
128.


LaTeX Warning: Reference `inttx:260:83' on page 243 undefined on input line 112
9.


LaTeX Warning: Reference `inttx:260:83' on page 243 undefined on input line 114
6.


LaTeX Warning: Reference `inttx:260:83' on page 243 undefined on input line 115
5.


LaTeX Warning: Reference `inttx:260.20' on page 243 undefined on input line 116
8.


LaTeX Warning: Reference `inttx:260.30' on page 243 undefined on input line 116
8.


[243]

LaTeX Warning: Reference `inttx:260.10' on page 244 undefined on input line 118
8.


LaTeX Warning: Reference `inttx:260:70' on page 244 undefined on input line 119
8.


LaTeX Warning: Reference `inttx:260:70' on page 244 undefined on input line 120
4.


LaTeX Warning: Reference `inttx:260:86' on page 244 undefined on input line 121
9.


[244]

LaTeX Warning: Reference `inttx:260:70' on page 245 undefined on input line 126
7.


LaTeX Warning: Reference `inttx:260:75' on page 245 undefined on input line 127
9.


LaTeX Warning: Reference `inttx:260:50' on page 245 undefined on input line 127
9.


LaTeX Warning: Reference `inttx:260:70' on page 245 undefined on input line 128
0.


LaTeX Warning: Reference `inttx:260.50' on page 245 undefined on input line 129
0.


LaTeX Warning: Reference `inttx:260:75' on page 245 undefined on input line 129
1.


LaTeX Warning: Reference `inttx:260:75' on page 245 undefined on input line 129
5.


LaTeX Warning: Reference `mtxinv:445' on page 245 undefined on input line 1330.



[245]

LaTeX Warning: Reference `inttx:260:70' on page 246 undefined on input line 133
7.


LaTeX Warning: Reference `inttx:260:50' on page 246 undefined on input line 133
8.


LaTeX Warning: Reference `matrix' on page 246 undefined on input line 1352.


LaTeX Warning: Reference `eigen' on page 246 undefined on input line 1352.


LaTeX Warning: Reference `integ:241.08' on page 246 undefined on input line 138
8.


LaTeX Warning: Reference `cexp:drvi' on page 246 undefined on input line 1396.


[246]

LaTeX Warning: Reference `inttx:220' on page 247 undefined on input line 1406.


LaTeX Warning: Reference `integ:241.08' on page 247 undefined on input line 142
2.


[247]

LaTeX Warning: Reference `integ:245' on page 248 undefined on input line 1461.


Underfull \vbox (badness 3746) has occurred while \output is active
[248]

LaTeX Warning: Reference `inttx:440.20' on page 249 undefined on input line 157
1.


LaTeX Warning: Citation `Hildebrand' on page 249 undefined on input line 1576.


[249]

LaTeX Warning: Reference `inttx:440.20' on page 250 undefined on input line 157
8.


LaTeX Warning: Reference `cexp:drvi' on page 250 undefined on input line 1582.


LaTeX Warning: Reference `inttx:440.20' on page 250 undefined on input line 159
3.


LaTeX Warning: Reference `inttx:440.20' on page 250 undefined on input line 159
5.


[250]

LaTeX Warning: Citation `Lebedev' on page 251 undefined on input line 1684.


LaTeX Warning: Citation `Andrews' on page 251 undefined on input line 1684.


LaTeX Warning: Citation `EWW' on page 251 undefined on input line 1684.


LaTeX Warning: Reference `alggeo:230:tbl' on page 251 undefined on input line 1
702.


LaTeX Warning: Reference `part30' on page 251 undefined on input line 1704.


LaTeX Warning: Reference `inttx:240' on page 251 undefined on input line 1707.


[251]

LaTeX Warning: Citation `Spiegel/Liu' on page 252 undefined on input line 1742.



LaTeX Warning: Citation `Shenk' on page 252 undefined on input line 1742.


LaTeX Warning: Reference `cexp:228' on page 252 undefined on input line 1753.


LaTeX Warning: Citation `Spiegel/Liu' on page 252 undefined on input line 1766.



LaTeX Warning: Citation `Shenk' on page 252 undefined on input line 1766.


LaTeX Warning: Reference `inttx:470:30' on page 252 undefined on input line 177
7.


LaTeX Warning: Citation `Spiegel/Liu' on page 252 undefined on input line 1779.



[252]

LaTeX Warning: Reference `inttx:470:tbl' on page 253 undefined on input line 17
96.


LaTeX Warning: Reference `inttx:210' on page 253 undefined on input line 1843.


[253]

LaTeX Warning: Reference `taylor:315:tbl' on page 254 undefined on input line 1
859.


LaTeX Warning: Reference `fouri:130' on page 254 undefined on input line 1888.

)
[254] (./cubic.tex
Chapter 10.

LaTeX Warning: Reference `alggeo' on page 255 undefined on input line 13.


LaTeX Warning: Reference `inttx' on page 255 undefined on input line 13.


LaTeX Warning: Reference `matrix' on page 255 undefined on input line 16.


LaTeX Warning: Reference `alggeo:240' on page 255 undefined on input line 36.


LaTeX Warning: Reference `drvtv:NR' on page 255 undefined on input line 38.


LaTeX Warning: Reference `alggeo:240' on page 255 undefined on input line 40.


LaTeX Warning: Reference `drvtv:270' on page 255 undefined on input line 40.


LaTeX Warning: Reference `noth' on page 255 undefined on input line 55.


LaTeX Warning: Reference `noth:320:fn20' on page 255 undefined on input line 55
.


LaTeX Warning: Citation `EWW' on page 255 undefined on input line 72.


LaTeX Warning: Citation `EWW' on page 255 undefined on input line 72.


LaTeX Warning: Citation `wikip' on page 255 undefined on input line 72.


LaTeX Warning: Citation `wikip' on page 255 undefined on input line 72.


LaTeX Warning: Citation `wikip' on page 255 undefined on input line 72.


LaTeX Warning: Citation `SRW' on page 255 undefined on input line 72.


[255]

LaTeX Warning: Reference `cexp:250:cosh' on page 256 undefined on input line 12
0.


LaTeX Warning: Reference `cubic:200:10' on page 256 undefined on input line 128
.


LaTeX Warning: Citation `EWW' on page 256 undefined on input line 132.


LaTeX Warning: Reference `cubic:200:Vieta-fig' on page 256 undefined on input l
ine 140.


LaTeX Warning: Reference `cubic:200:10' on page 256 undefined on input line 145
.


Package pst-pdf Warning: pspicture No. 44 undefined.


LaTeX Warning: Reference `noth:420' on page 256 undefined on input line 188.


LaTeX Warning: Reference `cubic:220' on page 256 undefined on input line 191.


[256]

LaTeX Warning: Reference `cubic:220:10' on page 257 undefined on input line 238
.


LaTeX Warning: Reference `cubic:200:10' on page 257 undefined on input line 243
.


LaTeX Warning: Reference `cubic:220:25' on page 257 undefined on input line 247
.


[257]

LaTeX Warning: Reference `cubic:220:35' on page 258 undefined on input line 259
.


LaTeX Warning: Reference `alggeo:240:quad' on page 258 undefined on input line 
268.


LaTeX Warning: Reference `cubic:220:45' on page 258 undefined on input line 274
.


LaTeX Warning: Reference `noth:320.30' on page 258 undefined on input line 276.



LaTeX Warning: Reference `cubic:235' on page 258 undefined on input line 277.


LaTeX Warning: Reference `cubic:220:45' on page 258 undefined on input line 284
.


LaTeX Warning: Reference `cubic:220:25' on page 258 undefined on input line 291
.


LaTeX Warning: Reference `cubic:220:45' on page 258 undefined on input line 291
.


LaTeX Warning: Reference `cubic:cubic-table' on page 258 undefined on input lin
e 296.


LaTeX Warning: Citation `Spiegel/Liu' on page 258 undefined on input line 297.


LaTeX Warning: Reference `cubic:235' on page 258 undefined on input line 300.


LaTeX Warning: Reference `cubic:240' on page 258 undefined on input line 300.


LaTeX Warning: Reference `cubic:220' on page 258 undefined on input line 338.


LaTeX Warning: Reference `cubic:cubic-table' on page 258 undefined on input lin
e 339.


LaTeX Warning: Reference `noth:320.30' on page 258 undefined on input line 340.



[258]
Underfull \vbox (badness 10000) has occurred while \output is active
[259]

LaTeX Warning: Reference `cubic:240' on page 260 undefined on input line 407.


[260]

LaTeX Warning: Reference `drvtv:270:35' on page 261 undefined on input line 428
.


LaTeX Warning: Reference `taylor:315:tbl' on page 261 undefined on input line 4
29.


LaTeX Warning: Reference `cubic:235' on page 261 undefined on input line 456.


LaTeX Warning: Reference `cubic:cubic-table' on page 261 undefined on input lin
e 461.


LaTeX Warning: Reference `cubic:235' on page 261 undefined on input line 465.


LaTeX Warning: Reference `cubic:235' on page 261 undefined on input line 476.


LaTeX Warning: Reference `cubic:cubic-table' on page 261 undefined on input lin
e 481.


LaTeX Warning: Reference `noth:320.30' on page 261 undefined on input line 488.



[261]

LaTeX Warning: Reference `cubic:235' on page 262 undefined on input line 501.


LaTeX Warning: Reference `cubic:220:55' on page 262 undefined on input line 510
.


LaTeX Warning: Reference `cubic:235' on page 262 undefined on input line 516.


LaTeX Warning: Reference `cubic:235' on page 262 undefined on input line 524.


Underfull \vbox (badness 7558) has occurred while \output is active
[262]

LaTeX Warning: Citation `EWW' on page 263 undefined on input line 587.


LaTeX Warning: Reference `cubic:250:30' on page 263 undefined on input line 587
.


LaTeX Warning: Reference `noth' on page 263 undefined on input line 587.


LaTeX Warning: Reference `noth:320:fn20' on page 263 undefined on input line 58
7.


LaTeX Warning: Reference `cubic:250:15' on page 263 undefined on input line 613
.


LaTeX Warning: Citation `EWW' on page 263 undefined on input line 615.


[263]

LaTeX Warning: Reference `alggeo:240' on page 264 undefined on input line 622.


LaTeX Warning: Reference `cubic:250:24' on page 264 undefined on input line 634
.


LaTeX Warning: Reference `cubic:250:25' on page 264 undefined on input line 634
.


LaTeX Warning: Reference `cubic:250:20' on page 264 undefined on input line 636
.


LaTeX Warning: Reference `cubic:250:24' on page 264 undefined on input line 642
.


LaTeX Warning: Reference `cubic:250:24' on page 264 undefined on input line 646
.


LaTeX Warning: Reference `cubic:250:27' on page 264 undefined on input line 656
.


LaTeX Warning: Reference `cubic:250:25' on page 264 undefined on input line 657
.


LaTeX Warning: Reference `cubic:250:30' on page 264 undefined on input line 667
.


LaTeX Warning: Reference `cubic:cubic-table' on page 264 undefined on input lin
e 668.


LaTeX Warning: Reference `cubic:250:32' on page 264 undefined on input line 670
.


LaTeX Warning: Reference `cubic:250:30' on page 264 undefined on input line 670
.


LaTeX Warning: Reference `cubic:250:27' on page 264 undefined on input line 671
.


LaTeX Warning: Reference `cubic:250:24' on page 264 undefined on input line 672
.


[264]

LaTeX Warning: Reference `cubic:250:30' on page 265 undefined on input line 682
.


LaTeX Warning: Reference `cubic:250:25' on page 265 undefined on input line 684
.


LaTeX Warning: Reference `cubic:250:32' on page 265 undefined on input line 686
.


LaTeX Warning: Reference `cubic:250:35' on page 265 undefined on input line 687
.


LaTeX Warning: Reference `alggeo:240:quad' on page 265 undefined on input line 
691.


LaTeX Warning: Reference `cubic:250:50' on page 265 undefined on input line 698
.


LaTeX Warning: Reference `cubic:250:50' on page 265 undefined on input line 702
.


LaTeX Warning: Reference `cubic:quartic-table' on page 265 undefined on input l
ine 710.


LaTeX Warning: Reference `cubic:cubic-table' on page 265 undefined on input lin
e 720.


LaTeX Warning: Reference `cubic:cubic-table' on page 265 undefined on input lin
e 720.


LaTeX Warning: Reference `cubic:cubic-table' on page 265 undefined on input lin
e 752.


[265]
[266]

LaTeX Warning: Reference `cubic:cubic-table' on page 267 undefined on input lin
e 781.


LaTeX Warning: Reference `cubic:quartic-table' on page 267 undefined on input l
ine 782.


[267]

LaTeX Warning: Citation `SRW' on page 268 undefined on input line 841.

)
[268]
[269]
[270] (./matrix.tex
Chapter 11.

LaTeX Warning: Reference `alggeo' on page 271 undefined on input line 13.


LaTeX Warning: Reference `inttx' on page 271 undefined on input line 13.


LaTeX Warning: Reference `eigen' on page 271 undefined on input line 21.


[271]

LaTeX Warning: Reference `trig:230' on page 272 undefined on input line 105.


LaTeX Warning: Reference `matrix:120' on page 272 undefined on input line 115.


LaTeX Warning: Citation `Lay' on page 272 undefined on input line 182.


LaTeX Warning: Citation `Hefferon' on page 272 undefined on input line 182.


LaTeX Warning: Reference `gjrank:341' on page 272 undefined on input line 182.


LaTeX Warning: Reference `mtxinv' on page 272 undefined on input line 182.


LaTeX Warning: Reference `eigen' on page 272 undefined on input line 182.


LaTeX Warning: Reference `matrix' on page 272 undefined on input line 182.


LaTeX Warning: Reference `gjrank' on page 272 undefined on input line 182.


[272]

LaTeX Warning: Reference `matrix' on page 273 undefined on input line 184.


LaTeX Warning: Reference `eigen' on page 273 undefined on input line 184.


LaTeX Warning: Reference `matrix' on page 273 undefined on input line 185.


LaTeX Warning: Citation `Beattie' on page 273 undefined on input line 192.


LaTeX Warning: Citation `Franklin' on page 273 undefined on input line 192.


LaTeX Warning: Citation `Hefferon' on page 273 undefined on input line 192.


LaTeX Warning: Citation `Lay' on page 273 undefined on input line 192.


Underfull \vbox (badness 10000) has occurred while \output is active
[273]

LaTeX Warning: Reference `integ:240.05' on page 274 undefined on input line 212
.


LaTeX Warning: Citation `Beattie' on page 274 undefined on input line 223.


LaTeX Warning: Citation `Lay' on page 274 undefined on input line 223.


LaTeX Warning: Reference `greek' on page 274 undefined on input line 271.


LaTeX Warning: Reference `matrix:180' on page 274 undefined on input line 288.


[274]
[275]

LaTeX Warning: Reference `matrix:000:40' on page 276 undefined on input line 34
9.


LaTeX Warning: Reference `matrix:000:40' on page 276 undefined on input line 37
5.


LaTeX Warning: Reference `matrix:000:30' on page 276 undefined on input line 39
5.


[276]

LaTeX Warning: Reference `matrix:230:10' on page 277 undefined on input line 41
4.


LaTeX Warning: Reference `matrix:000:40' on page 277 undefined on input line 43
3.


LaTeX Warning: Reference `matrix:230:10' on page 277 undefined on input line 43
4.


LaTeX Warning: Reference `matrix:230:20' on page 277 undefined on input line 43
5.


LaTeX Warning: Reference `matrix:000:40' on page 277 undefined on input line 44
0.


LaTeX Warning: Reference `matrix:330:25' on page 277 undefined on input line 44
3.


[277]
[278]

LaTeX Warning: Reference `alggeo:227' on page 279 undefined on input line 522.


LaTeX Warning: Reference `integ:670' on page 279 undefined on input line 542.


LaTeX Warning: Citation `wikip' on page 279 undefined on input line 544.


LaTeX Warning: Reference `matrix:150:sift0' on page 279 undefined on input line
 569.


LaTeX Warning: Reference `matrix:150:sift' on page 279 undefined on input line 
570.


LaTeX Warning: Reference `integ:670:sift0' on page 279 undefined on input line 
571.


LaTeX Warning: Reference `integ:670:sift' on page 279 undefined on input line 5
71.


LaTeX Warning: Reference `matrix' on page 279 undefined on input line 573.


LaTeX Warning: Reference `eigen' on page 279 undefined on input line 573.


LaTeX Warning: Reference `vector:240.30' on page 279 undefined on input line 57
4.


[279]

LaTeX Warning: Reference `matrix:000:40' on page 280 undefined on input line 63
4.


[280]

LaTeX Warning: Reference `matrix:180:05' on page 281 undefined on input line 69
0.


LaTeX Warning: Reference `matrix:120' on page 281 undefined on input line 709.


LaTeX Warning: Reference `gjrank' on page 281 undefined on input line 742.


[281]

LaTeX Warning: Reference `drvtv' on page 282 undefined on input line 792.


LaTeX Warning: Reference `integ' on page 282 undefined on input line 792.


[282]

LaTeX Warning: Reference `matrix:150' on page 283 undefined on input line 843.


[283]
[284]

LaTeX Warning: Reference `matrix:180.25' on page 285 undefined on input line 98
6.


LaTeX Warning: Reference `matrix:180.35' on page 285 undefined on input line 98
8.


LaTeX Warning: Reference `matrix:340' on page 285 undefined on input line 993.


[285]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1005.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1005.


LaTeX Warning: Reference `matrix:180.25' on page 286 undefined on input line 10
40.


LaTeX Warning: Reference `gjrank:340' on page 286 undefined on input line 1060.



[286]

LaTeX Warning: Reference `matrix:180.25' on page 287 undefined on input line 10
87.


LaTeX Warning: Reference `matrix:180.35' on page 287 undefined on input line 10
87.


LaTeX Warning: Reference `matrix:180:35' on page 287 undefined on input line 10
99.


[287]

LaTeX Warning: Reference `matrix:180:61' on page 288 undefined on input line 11
72.


LaTeX Warning: Reference `matrix:180:62' on page 288 undefined on input line 11
75.


LaTeX Warning: Reference `matrix:120.27' on page 288 undefined on input line 11
90.


LaTeX Warning: Reference `matrix:180' on page 288 undefined on input line 1199.



LaTeX Warning: Citation `Lay' on page 288 undefined on input line 1228.


LaTeX Warning: Reference `matrix:322' on page 288 undefined on input line 1228.



[288]
[289]

LaTeX Warning: Reference `matrix:180:35' on page 290 undefined on input line 13
30.


LaTeX Warning: Reference `matrix:320:39' on page 290 undefined on input line 13
35.


Overfull \hbox (0.34666pt too wide) in paragraph at lines 1333--1337
\OT1/cmr/m/n/10.95 Equa-tion ([]) lets an iden-tity ma-trix with suf-fi-ciently
 high rank pass through

[290]

LaTeX Warning: Reference `matrix:Txchg2' on page 291 undefined on input line 14
33.


[291]

LaTeX Warning: Reference `matrix:Txchg3' on page 292 undefined on input line 14
42.


LaTeX Warning: Reference `matrix:Txchg1' on page 292 undefined on input line 14
50.


LaTeX Warning: Reference `matrix:Txchg2' on page 292 undefined on input line 14
61.


LaTeX Warning: Reference `matrix:Txchg3' on page 292 undefined on input line 14
61.


LaTeX Warning: Reference `matrix:Txchg1' on page 292 undefined on input line 14
62.


LaTeX Warning: Reference `matrix:Txchg1' on page 292 undefined on input line 14
65.


LaTeX Warning: Reference `matrix:Txchg2' on page 292 undefined on input line 15
53.


LaTeX Warning: Reference `matrix:Txchg3' on page 292 undefined on input line 15
53.


LaTeX Warning: Reference `matrix:Txchg1' on page 292 undefined on input line 15
54.


LaTeX Warning: Reference `matrix:320:30' on page 292 undefined on input line 15
71.


LaTeX Warning: Reference `matrix:320' on page 292 undefined on input line 1576.



[292]
[293]
[294]

LaTeX Warning: Reference `gjrank' on page 295 undefined on input line 1588.


LaTeX Warning: Reference `mtxinv' on page 295 undefined on input line 1588.


LaTeX Warning: Reference `matrix:321:59' on page 295 undefined on input line 15
92.


LaTeX Warning: Reference `gjrank:337' on page 295 undefined on input line 1602.



LaTeX Warning: Reference `eigen:505' on page 295 undefined on input line 1603.


LaTeX Warning: Reference `matrix:321:70' on page 295 undefined on input line 16
20.


LaTeX Warning: Reference `matrix:120:30' on page 295 undefined on input line 16
21.


LaTeX Warning: Reference `matrix:321:10' on page 295 undefined on input line 16
36.


LaTeX Warning: Reference `matrix:321:10' on page 295 undefined on input line 16
45.


LaTeX Warning: Reference `matrix:321:70' on page 295 undefined on input line 16
52.


LaTeX Warning: Reference `matrix:321:80' on page 295 undefined on input line 16
53.


LaTeX Warning: Reference `matrix:180:35' on page 295 undefined on input line 16
54.


LaTeX Warning: Reference `matrix:321:60' on page 295 undefined on input line 16
55.


LaTeX Warning: Reference `mtxinv:230' on page 295 undefined on input line 1656.



LaTeX Warning: Reference `mtxinv' on page 295 undefined on input line 1659.


LaTeX Warning: Reference `gjrank' on page 295 undefined on input line 1660.


[295]

LaTeX Warning: Reference `matrix:321:tbl' on page 296 undefined on input line 1
662.


LaTeX Warning: Reference `drvtv:220.20' on page 296 undefined on input line 169
9.


Underfull \vbox (badness 2744) has occurred while \output is active
[296]
[297]

LaTeX Warning: Reference `matrix:320:fn10' on page 298 undefined on input line 
1775.


LaTeX Warning: Reference `matrix:320' on page 298 undefined on input line 1779.



LaTeX Warning: Reference `matrix:325.10' on page 298 undefined on input line 17
90.


LaTeX Warning: Reference `eigen:310' on page 298 undefined on input line 1791.


LaTeX Warning: Reference `matrix:320' on page 298 undefined on input line 1801.



LaTeX Warning: Reference `matrix:320:34' on page 298 undefined on input line 18
02.


LaTeX Warning: Reference `matrix:325.30' on page 298 undefined on input line 18
13.


Underfull \vbox (badness 7667) has occurred while \output is active
[298]

LaTeX Warning: Reference `matrix:320:34' on page 299 undefined on input line 18
58.


LaTeX Warning: Reference `matrix:320:30' on page 299 undefined on input line 18
58.


LaTeX Warning: Reference `matrix:320:50' on page 299 undefined on input line 18
58.


LaTeX Warning: Reference `matrix:120:33' on page 299 undefined on input line 18
59.


LaTeX Warning: Reference `matrix:322' on page 299 undefined on input line 1881.



LaTeX Warning: Reference `eigen:310' on page 299 undefined on input line 1887.


[299]

LaTeX Warning: Reference `matrix:325.10' on page 300 undefined on input line 19
10.


Underfull \vbox (badness 2503) has occurred while \output is active
[300]

LaTeX Warning: Reference `matrix:325.10' on page 301 undefined on input line 19
93.


LaTeX Warning: Reference `matrix:325.20' on page 301 undefined on input line 19
94.


[301]
Overfull \vbox (1.4848pt too high) has occurred while \output is active
[302]

LaTeX Warning: Reference `matrix:325' on page 303 undefined on input line 2105.



[303]

LaTeX Warning: Reference `eigen:520' on page 304 undefined on input line 2162.


LaTeX Warning: Reference `matrix:330:t18' on page 304 undefined on input line 2
169.


LaTeX Warning: Citation `wikip' on page 304 undefined on input line 2170.


LaTeX Warning: Reference `alggeo:227' on page 304 undefined on input line 2199.



LaTeX Warning: Reference `matrix:330:25' on page 304 undefined on input line 22
09.


LaTeX Warning: Reference `matrix:330:20' on page 304 undefined on input line 22
10.


LaTeX Warning: Reference `matrix:330:25' on page 304 undefined on input line 22
13.


[304]

LaTeX Warning: Reference `matrix:330:25' on page 305 undefined on input line 22
26.


[305]

LaTeX Warning: Reference `matrix:330:30' on page 306 undefined on input line 22
78.


LaTeX Warning: Reference `matrix:330:20' on page 306 undefined on input line 22
84.


LaTeX Warning: Reference `matrix:330:25' on page 306 undefined on input line 22
85.


LaTeX Warning: Reference `matrix:325:42' on page 306 undefined on input line 22
86.


LaTeX Warning: Reference `matrix:325:44' on page 306 undefined on input line 22
86.


LaTeX Warning: Reference `matrix:330:30' on page 306 undefined on input line 22
95.


Underfull \vbox (badness 4316) has occurred while \output is active
[306]
[307]

LaTeX Warning: Reference `matrix:Txchg1' on page 308 undefined on input line 23
79.


LaTeX Warning: Reference `matrix:330:20' on page 308 undefined on input line 24
03.


LaTeX Warning: Reference `matrix:330:55' on page 308 undefined on input line 24
04.


LaTeX Warning: Reference `matrix:330:56' on page 308 undefined on input line 24
17.


LaTeX Warning: Reference `matrix:330:56' on page 308 undefined on input line 24
17.


[308]

LaTeX Warning: Reference `matrix:330:t18' on page 309 undefined on input line 2
459.


LaTeX Warning: Reference `matrix:180:IMC' on page 309 undefined on input line 2
491.


LaTeX Warning: Reference `matrix:180:IMC' on page 309 undefined on input line 2
491.


[309]
Underfull \vbox (badness 10000) has occurred while \output is active
[310]
Underfull \vbox (badness 10000) has occurred while \output is active
[311]

LaTeX Warning: Reference `matrix:330.50' on page 312 undefined on input line 26
36.


LaTeX Warning: Reference `matrix:180' on page 312 undefined on input line 2646.



[312]

LaTeX Warning: Reference `drvtv' on page 313 undefined on input line 2695.


LaTeX Warning: Citation `wikip' on page 313 undefined on input line 2712.


[313]

LaTeX Warning: Reference `drvtv:prod2' on page 314 undefined on input line 2727
.


LaTeX Warning: Reference `matrix:350:Jacobian-prod' on page 314 undefined on in
put line 2731.


LaTeX Warning: Reference `drvtv:defz' on page 314 undefined on input line 2745.



LaTeX Warning: Reference `matrix:340' on page 314 undefined on input line 2758.



LaTeX Warning: Reference `mtxinv' on page 314 undefined on input line 2761.


LaTeX Warning: Reference `eigen' on page 314 undefined on input line 2761.


LaTeX Warning: Reference `gjrank' on page 314 undefined on input line 2764.

)
[314] (./gjrank.tex
Chapter 12.

LaTeX Warning: Reference `matrix' on page 315 undefined on input line 10.


LaTeX Warning: Reference `matrix:180.30' on page 315 undefined on input line 13
.


LaTeX Warning: Reference `matrix:180.25' on page 315 undefined on input line 14
.


LaTeX Warning: Reference `matrix:180.22' on page 315 undefined on input line 15
.


LaTeX Warning: Reference `matrix:180.35' on page 315 undefined on input line 16
.


LaTeX Warning: Reference `matrix:320' on page 315 undefined on input line 17.


LaTeX Warning: Reference `matrix:325' on page 315 undefined on input line 18.


LaTeX Warning: Reference `matrix:330' on page 315 undefined on input line 19.


LaTeX Warning: Reference `matrix:180' on page 315 undefined on input line 29.


[315]

LaTeX Warning: Reference `gjrank:337' on page 316 undefined on input line 41.


LaTeX Warning: Reference `mtxinv' on page 316 undefined on input line 45.


LaTeX Warning: Reference `eigen' on page 316 undefined on input line 46.


LaTeX Warning: Reference `gjrank:335:10' on page 316 undefined on input line 96
.


[316]

LaTeX Warning: Reference `gjrank:335:10' on page 317 undefined on input line 12
9.


LaTeX Warning: Reference `gjrank:335:10' on page 317 undefined on input line 14
8.


LaTeX Warning: Reference `trig:230' on page 317 undefined on input line 167.


LaTeX Warning: Reference `matrix:120' on page 317 undefined on input line 175.


LaTeX Warning: Reference `gjrank:340' on page 317 undefined on input line 178.


LaTeX Warning: Reference `matrix:321' on page 317 undefined on input line 189.


LaTeX Warning: Reference `matrix:321:60' on page 317 undefined on input line 18
9.


LaTeX Warning: Reference `gjrank:337:table' on page 317 undefined on input line
 198.


Overfull \hbox (2.77382pt too wide) in paragraph at lines 189--240
\OT1/cmr/m/n/10.95 Section [] and its ([]) have in-tro-duced the \OT1/cmr/m/it/
10.95 sim-i-lar-ity trans-for-ma-tion $\OML/cmm/m/it/10.95 CAC[]$

[317]

LaTeX Warning: Reference `matrix:330.30' on page 318 undefined on input line 24
4.


LaTeX Warning: Reference `gjrank:337:table' on page 318 undefined on input line
 245.


LaTeX Warning: Reference `matrix:325' on page 318 undefined on input line 248.


LaTeX Warning: Reference `matrix:330' on page 318 undefined on input line 248.


LaTeX Warning: Reference `gjrank:337:table' on page 318 undefined on input line
 252.


LaTeX Warning: Reference `gjrank:341' on page 318 undefined on input line 258.


LaTeX Warning: Reference `matrix:325.10' on page 318 undefined on input line 29
5.


LaTeX Warning: Reference `matrix:325.20' on page 318 undefined on input line 29
7.


LaTeX Warning: Reference `matrix:330' on page 318 undefined on input line 299.


[318]
[319]

LaTeX Warning: Reference `matrix:330.50' on page 320 undefined on input line 30
3.


LaTeX Warning: Reference `gjrank:341:GJ' on page 320 undefined on input line 31
3.


LaTeX Warning: Reference `gjrank:341:GJ' on page 320 undefined on input line 33
9.


LaTeX Warning: Reference `mtxinv:460' on page 320 undefined on input line 345.


LaTeX Warning: Reference `eigen:423' on page 320 undefined on input line 345.


LaTeX Warning: Reference `eigen:520' on page 320 undefined on input line 345.


LaTeX Warning: Reference `eigen:600' on page 320 undefined on input line 346.


LaTeX Warning: Reference `matrix:321:20' on page 320 undefined on input line 35
5.


LaTeX Warning: Reference `matrix:180.25' on page 320 undefined on input line 36
0.


[320]

LaTeX Warning: Reference `matrix:180.23' on page 321 undefined on input line 38
8.


LaTeX Warning: Reference `matrix:180.35' on page 321 undefined on input line 40
1.


Underfull \vbox (badness 10000) has occurred while \output is active
[321]

LaTeX Warning: Reference `matrix:Txchg3' on page 322 undefined on input line 45
2.


LaTeX Warning: Reference `matrix:325.20' on page 322 undefined on input line 46
6.


LaTeX Warning: Reference `gjrank:341:GJ' on page 322 undefined on input line 49
3.


LaTeX Warning: Reference `gjrank:341:GJ' on page 322 undefined on input line 49
3.


LaTeX Warning: Reference `gjrank:341.10' on page 322 undefined on input line 51
0.


LaTeX Warning: Reference `gjrank:341:s75' on page 322 undefined on input line 5
10.


[322]

LaTeX Warning: Reference `gjrank:341:GJ' on page 323 undefined on input line 52
3.


LaTeX Warning: Reference `gjrank:341:GJ' on page 323 undefined on input line 53
1.


LaTeX Warning: Reference `gjrank:337' on page 323 undefined on input line 544.


LaTeX Warning: Reference `gjrank:341:05' on page 323 undefined on input line 55
3.


[323]

LaTeX Warning: Reference `gjrank:341:05' on page 324 undefined on input line 56
5.


LaTeX Warning: Reference `gjrank:341:GJ' on page 324 undefined on input line 56
6.


LaTeX Warning: Reference `gjrank:341.01' on page 324 undefined on input line 57
7.


LaTeX Warning: Reference `gjrank:341.05' on page 324 undefined on input line 57
8.


LaTeX Warning: Reference `gjrank:341:s10' on page 324 undefined on input line 5
84.


LaTeX Warning: Reference `gjrank:341:s18' on page 324 undefined on input line 5
87.


LaTeX Warning: Reference `gjrank:341:s50' on page 324 undefined on input line 5
88.


LaTeX Warning: Reference `gjrank:341:s55' on page 324 undefined on input line 5
90.


LaTeX Warning: Reference `gjrank:341:s60' on page 324 undefined on input line 5
93.


LaTeX Warning: Reference `gjrank:341:s85' on page 324 undefined on input line 5
94.


LaTeX Warning: Reference `gjrank:341:05' on page 324 undefined on input line 62
2.


LaTeX Warning: Reference `gjrank:341:s55' on page 324 undefined on input line 6
25.


[324]

LaTeX Warning: Reference `gjrank:341:s10' on page 325 undefined on input line 6
37.


LaTeX Warning: Reference `gjrank:341:s50' on page 325 undefined on input line 6
38.


LaTeX Warning: Reference `gjrank:341:s10' on page 325 undefined on input line 6
39.


LaTeX Warning: Reference `gjrank:341:s18' on page 325 undefined on input line 6
40.


LaTeX Warning: Reference `gjrank:341:s50' on page 325 undefined on input line 6
41.


LaTeX Warning: Reference `matrix:330' on page 325 undefined on input line 654.


LaTeX Warning: Reference `matrix:330.05' on page 325 undefined on input line 65
6.


Underfull \vbox (badness 10000) has occurred while \output is active
[325]

LaTeX Warning: Citation `Intel' on page 326 undefined on input line 730.


LaTeX Warning: Reference `gjrank:341:s55' on page 326 undefined on input line 7
56.


Underfull \vbox (badness 2591) has occurred while \output is active
[326]

LaTeX Warning: Reference `gjrank:341:05' on page 327 undefined on input line 76
0.


LaTeX Warning: Reference `gjrank:337:table' on page 327 undefined on input line
 789.


LaTeX Warning: Reference `gjrank:337:table' on page 327 undefined on input line
 796.


[327]

LaTeX Warning: Reference `gjrank:341:05' on page 328 undefined on input line 79
9.


LaTeX Warning: Reference `gjrank:337:table' on page 328 undefined on input line
 851.


[328]

LaTeX Warning: Reference `gjrank:341:05' on page 329 undefined on input line 85
3.


LaTeX Warning: Reference `matrix:325.30' on page 329 undefined on input line 90
5.


[329]

LaTeX Warning: Reference `gjrank:341:s18' on page 330 undefined on input line 9
11.


LaTeX Warning: Reference `gjrank:341:s50' on page 330 undefined on input line 9
17.


LaTeX Warning: Reference `gjrank:341:s50' on page 330 undefined on input line 9
18.


LaTeX Warning: Reference `gjrank:341:s55' on page 330 undefined on input line 9
26.


LaTeX Warning: Reference `gjrank:341:s70' on page 330 undefined on input line 9
27.


LaTeX Warning: Reference `gjrank:341:s75' on page 330 undefined on input line 9
28.


LaTeX Warning: Reference `gjrank:341:05' on page 330 undefined on input line 93
0.


Underfull \vbox (badness 1990) has occurred while \output is active
[330]

LaTeX Warning: Reference `gjrank:341:s45' on page 331 undefined on input line 9
73.


LaTeX Warning: Reference `matrix:325.30' on page 331 undefined on input line 97
6.


LaTeX Warning: Reference `gjrank:341:s60' on page 331 undefined on input line 9
78.


LaTeX Warning: Reference `gjrank:341:05' on page 331 undefined on input line 10
00.


[331]

LaTeX Warning: Reference `gjrank:341:s45' on page 332 undefined on input line 1
020.


LaTeX Warning: Reference `gjrank:341:s65' on page 332 undefined on input line 1
020.


LaTeX Warning: Reference `matrix:330.50' on page 332 undefined on input line 10
24.


LaTeX Warning: Reference `gjrank:341:GJ' on page 332 undefined on input line 10
39.


LaTeX Warning: Reference `gjrank:340' on page 332 undefined on input line 1041.



LaTeX Warning: Reference `gjrank:341:s20' on page 332 undefined on input line 1
044.


LaTeX Warning: Reference `gjrank:341.10' on page 332 undefined on input line 10
52.


LaTeX Warning: Reference `gjrank:341:s55' on page 332 undefined on input line 1
063.


LaTeX Warning: Reference `gjrank:341:s20' on page 332 undefined on input line 1
068.


LaTeX Warning: Reference `gjrank:341:s20' on page 332 undefined on input line 1
069.


LaTeX Warning: Reference `gjrank:341:s45' on page 332 undefined on input line 1
070.


LaTeX Warning: Reference `gjrank:335' on page 332 undefined on input line 1071.



LaTeX Warning: Reference `gjrank:341:s45' on page 332 undefined on input line 1
073.


LaTeX Warning: Reference `gjrank:341:s45' on page 332 undefined on input line 1
074.


LaTeX Warning: Reference `gjrank:341:s45' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:341:s20' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:341:s25' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:341:s45' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:341:s20' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:341:s25' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:341:s45' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:341:s45' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:341:s65' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:341:s20' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:335:10' on page 332 undefined on input line 11
01.


[332]

LaTeX Warning: Reference `matrix:325' on page 333 undefined on input line 1109.



LaTeX Warning: Reference `matrix:330' on page 333 undefined on input line 1109.



LaTeX Warning: Reference `matrix:320:34' on page 333 undefined on input line 11
16.


LaTeX Warning: Reference `gjrank:341:s10' on page 333 undefined on input line 1
124.


LaTeX Warning: Reference `matrix:321' on page 333 undefined on input line 1138.



LaTeX Warning: Reference `gjrank:341:s40' on page 333 undefined on input line 1
143.


[333]

LaTeX Warning: Reference `gjrank:341:GJ' on page 334 undefined on input line 11
55.


LaTeX Warning: Reference `gjrank:341:GJinv' on page 334 undefined on input line
 1157.


LaTeX Warning: Reference `gjrank:341:GJ' on page 334 undefined on input line 11
64.


LaTeX Warning: Reference `matrix:180.35' on page 334 undefined on input line 11
65.


LaTeX Warning: Reference `matrix:180.25' on page 334 undefined on input line 11
71.


LaTeX Warning: Reference `gjrank:341:GJ' on page 334 undefined on input line 11
75.


LaTeX Warning: Reference `matrix:180.23' on page 334 undefined on input line 11
80.


LaTeX Warning: Reference `matrix:180:35' on page 334 undefined on input line 11
88.


LaTeX Warning: Reference `matrix:320:39' on page 334 undefined on input line 11
88.


LaTeX Warning: Reference `gjrank:341:GJt' on page 334 undefined on input line 1
201.


LaTeX Warning: Reference `gjrank:341:GJ' on page 334 undefined on input line 12
05.


[334]

LaTeX Warning: Reference `matrix:180' on page 335 undefined on input line 1241.



LaTeX Warning: Reference `gjrank:341:t34' on page 335 undefined on input line 1
251.


LaTeX Warning: Reference `matrix:325:11' on page 335 undefined on input line 12
78.


LaTeX Warning: Reference `matrix:330:t18' on page 335 undefined on input line 1
279.


LaTeX Warning: Reference `matrix' on page 335 undefined on input line 1285.


LaTeX Warning: Reference `mtxinv:245' on page 335 undefined on input line 1290.



LaTeX Warning: Reference `matrix:325' on page 335 undefined on input line 1294.



LaTeX Warning: Reference `matrix:330' on page 335 undefined on input line 1295.



[335]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1297.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `subscript' on input line 1297.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1297.


LaTeX Warning: Reference `matrix:180:35' on page 336 undefined on input line 13
02.


LaTeX Warning: Reference `gjrank:341:GJ' on page 336 undefined on input line 13
03.


LaTeX Warning: Reference `gjrank:340' on page 336 undefined on input line 1317.



LaTeX Warning: Reference `mtxinv:220' on page 336 undefined on input line 1317.



LaTeX Warning: Reference `matrix:180.35' on page 336 undefined on input line 13
18.


[336]

LaTeX Warning: Reference `matrix' on page 337 undefined on input line 1345.


LaTeX Warning: Reference `matrix:340' on page 337 undefined on input line 1352.



LaTeX Warning: Reference `gjrank:341.40' on page 337 undefined on input line 13
63.


LaTeX Warning: Reference `matrix:180:35' on page 337 undefined on input line 13
63.


LaTeX Warning: Reference `matrix:180.23' on page 337 undefined on input line 13
86.


LaTeX Warning: Reference `matrix:340' on page 337 undefined on input line 1386.



LaTeX Warning: Reference `mtxinv:245:kernel' on page 337 undefined on input lin
e 1386.


LaTeX Warning: Reference `mtxinv:460' on page 337 undefined on input line 1391.



LaTeX Warning: Reference `eigen:423' on page 337 undefined on input line 1391.


LaTeX Warning: Reference `eigen:520' on page 337 undefined on input line 1392.


LaTeX Warning: Reference `eigen:600' on page 337 undefined on input line 1393.


LaTeX Warning: Reference `mtxinv' on page 337 undefined on input line 1398.


[337]

LaTeX Warning: Reference `gjrank:338:15' on page 338 undefined on input line 14
33.


[338]

LaTeX Warning: Reference `gjrank:338:17' on page 339 undefined on input line 14
62.


LaTeX Warning: Reference `gjrank:338:15' on page 339 undefined on input line 14
62.


LaTeX Warning: Reference `gjrank:338:table' on page 339 undefined on input line
 1469.


LaTeX Warning: Reference `gjrank:338' on page 339 undefined on input line 1471.



LaTeX Warning: Reference `gjrank:338:10' on page 339 undefined on input line 15
08.


LaTeX Warning: Reference `gjrank:338:17' on page 339 undefined on input line 15
11.


[339]

LaTeX Warning: Reference `gjrank:338:15' on page 340 undefined on input line 15
44.


[340]

LaTeX Warning: Reference `gjrank:335' on page 341 undefined on input line 1552.



LaTeX Warning: Reference `gjrank:338:15' on page 341 undefined on input line 15
61.


LaTeX Warning: Reference `gjrank:335' on page 341 undefined on input line 1564.



LaTeX Warning: Reference `matrix:180.22' on page 341 undefined on input line 15
76.


LaTeX Warning: Reference `matrix:180.23' on page 341 undefined on input line 15
76.


[341]

LaTeX Warning: Reference `gjrank:340.10' on page 342 undefined on input line 16
41.


LaTeX Warning: Reference `gjrank:340.10' on page 342 undefined on input line 16
48.


LaTeX Warning: Reference `gjrank:340.10' on page 342 undefined on input line 16
50.


[342]

LaTeX Warning: Reference `gjrank:340:10' on page 343 undefined on input line 17
26.


LaTeX Warning: Reference `matrix:180.22' on page 343 undefined on input line 17
34.


LaTeX Warning: Reference `gjrank:340:10' on page 343 undefined on input line 17
36.


LaTeX Warning: Reference `matrix:180.23' on page 343 undefined on input line 17
41.


LaTeX Warning: Reference `matrix:120.27' on page 343 undefined on input line 17
44.


LaTeX Warning: Reference `matrix:180.30' on page 343 undefined on input line 17
55.


LaTeX Warning: Reference `gjrank:340:11' on page 343 undefined on input line 17
56.


LaTeX Warning: Reference `gjrank:335' on page 343 undefined on input line 1763.



LaTeX Warning: Reference `gjrank:340:15' on page 343 undefined on input line 17
74.


LaTeX Warning: Reference `noth:220.10' on page 343 undefined on input line 1785
.


LaTeX Warning: Reference `gjrank:340:15' on page 343 undefined on input line 17
89.


[343]

LaTeX Warning: Reference `gjrank:338' on page 344 undefined on input line 1804.



LaTeX Warning: Reference `gjrank:338' on page 344 undefined on input line 1810.



LaTeX Warning: Reference `gjrank:340:15' on page 344 undefined on input line 18
15.


LaTeX Warning: Reference `gjrank:340.05' on page 344 undefined on input line 18
25.


LaTeX Warning: Reference `mtxinv:230' on page 344 undefined on input line 1828.



LaTeX Warning: Reference `gjrank:340:15' on page 344 undefined on input line 18
31.


LaTeX Warning: Reference `gjrank:340:15' on page 344 undefined on input line 18
47.


LaTeX Warning: Reference `gjrank:340:15' on page 344 undefined on input line 18
53.


[344]

LaTeX Warning: Reference `matrix:180.30' on page 345 undefined on input line 18
86.


LaTeX Warning: Reference `gjrank:340.05' on page 345 undefined on input line 19
13.


[345]

LaTeX Warning: Reference `gjrank:338' on page 346 undefined on input line 1930.



LaTeX Warning: Reference `gjrank:338' on page 346 undefined on input line 1933.



LaTeX Warning: Reference `gjrank:338' on page 346 undefined on input line 1959.



LaTeX Warning: Reference `gjrank:338' on page 346 undefined on input line 1969.



[346]

LaTeX Warning: Reference `gjrank:340:15' on page 347 undefined on input line 19
93.


LaTeX Warning: Reference `gjrank:340:11' on page 347 undefined on input line 20
10.


LaTeX Warning: Reference `gjrank:340:10' on page 347 undefined on input line 20
10.


LaTeX Warning: Reference `gjrank:340:10' on page 347 undefined on input line 20
16.


LaTeX Warning: Reference `gjrank:341:s55' on page 347 undefined on input line 2
028.


LaTeX Warning: Reference `gjrank:341.10' on page 347 undefined on input line 20
29.


LaTeX Warning: Reference `matrix:180.22' on page 347 undefined on input line 20
41.


[347]

LaTeX Warning: Reference `gjrank:340:20' on page 348 undefined on input line 20
63.


LaTeX Warning: Reference `gjrank:340.10' on page 348 undefined on input line 20
87.


LaTeX Warning: Reference `gjrank:340:10' on page 348 undefined on input line 20
88.


LaTeX Warning: Reference `gjrank:340:20' on page 348 undefined on input line 21
01.


LaTeX Warning: Reference `gjrank:341:GJ' on page 348 undefined on input line 21
01.


LaTeX Warning: Reference `gjrank:341:GJinv' on page 348 undefined on input line
 2102.


[348]

LaTeX Warning: Reference `matrix:120:30' on page 349 undefined on input line 21
12.


LaTeX Warning: Reference `matrix:120:33' on page 349 undefined on input line 21
13.


LaTeX Warning: Reference `gjrank:340:20' on page 349 undefined on input line 21
14.


LaTeX Warning: Reference `gjrank:340.30' on page 349 undefined on input line 21
25.


LaTeX Warning: Reference `gjrank:341:22' on page 349 undefined on input line 21
35.


LaTeX Warning: Reference `matrix:180.25' on page 349 undefined on input line 21
36.


LaTeX Warning: Reference `gjrank:335' on page 349 undefined on input line 2147.



LaTeX Warning: Reference `gjrank:340.20' on page 349 undefined on input line 21
56.


[349]

LaTeX Warning: Reference `gjrank:341.11' on page 350 undefined on input line 21
66.


LaTeX Warning: Reference `matrix:180.35' on page 350 undefined on input line 22
12.


LaTeX Warning: Reference `gjrank:340.25' on page 350 undefined on input line 22
28.


[350]

LaTeX Warning: Reference `mtxinv:230' on page 351 undefined on input line 2245.



LaTeX Warning: Reference `mtxinv:240' on page 351 undefined on input line 2246.



LaTeX Warning: Reference `mtxinv:320' on page 351 undefined on input line 2247.



LaTeX Warning: Reference `mtxinv' on page 351 undefined on input line 2248.


[351]

LaTeX Warning: Reference `gjrank:341:GJtC' on page 352 undefined on input line 
2305.


LaTeX Warning: Reference `mtxinv:460:70' on page 352 undefined on input line 23
08.


LaTeX Warning: Citation `Beattie' on page 352 undefined on input line 2313.


LaTeX Warning: Citation `planetm' on page 352 undefined on input line 2313.


LaTeX Warning: Reference `mtxinv:320.50' on page 352 undefined on input line 23
19.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2323.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2323.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2323.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2323.


LaTeX Warning: Reference `gjrank:341:GJ' on page 352 undefined on input line 23
35.


LaTeX Warning: Reference `gjrank:341:s20' on page 352 undefined on input line 2
341.


LaTeX Warning: Reference `gjrank:341:s75' on page 352 undefined on input line 2
348.


LaTeX Warning: Reference `gjrank:341:s75' on page 352 undefined on input line 2
349.


LaTeX Warning: Reference `gjrank:341:s75' on page 352 undefined on input line 2
352.


LaTeX Warning: Reference `gjrank:341:s20' on page 352 undefined on input line 2
356.


LaTeX Warning: Reference `gjrank:341:s25' on page 352 undefined on input line 2
360.


LaTeX Warning: Reference `gjrank:341:s20' on page 352 undefined on input line 2
371.


[352]

LaTeX Warning: Reference `gjrank:341:GJ' on page 353 undefined on input line 23
77.


LaTeX Warning: Reference `gjrank:341:s40' on page 353 undefined on input line 2
390.


LaTeX Warning: Reference `gjrank:340:60' on page 353 undefined on input line 23
91.


LaTeX Warning: Reference `gjrank:341:GJ' on page 353 undefined on input line 23
93.


LaTeX Warning: Reference `gjrank:340:60' on page 353 undefined on input line 24
00.


LaTeX Warning: Reference `gjrank:340:60' on page 353 undefined on input line 24
08.


LaTeX Warning: Reference `gjrank:340.20' on page 353 undefined on input line 24
15.


LaTeX Warning: Reference `gjrank:340.20' on page 353 undefined on input line 24
26.


[353]
[354])
[355] (./mtxinv.tex
[356]
Chapter 13.

LaTeX Warning: Reference `matrix' on page 357 undefined on input line 9.


LaTeX Warning: Reference `gjrank' on page 357 undefined on input line 9.


LaTeX Warning: Reference `matrix:120.10' on page 357 undefined on input line 17
.


LaTeX Warning: Reference `gjrank:340.24' on page 357 undefined on input line 17
.


LaTeX Warning: Reference `gjrank' on page 357 undefined on input line 22.


LaTeX Warning: Reference `gjrank:340.24' on page 357 undefined on input line 22
.


LaTeX Warning: Reference `matrix' on page 357 undefined on input line 34.


LaTeX Warning: Reference `gjrank' on page 357 undefined on input line 34.


LaTeX Warning: Reference `trig:250:20' on page 357 undefined on input line 37.


LaTeX Warning: Reference `trig' on page 357 undefined on input line 38.


LaTeX Warning: Reference `mtxinv:320' on page 357 undefined on input line 45.


LaTeX Warning: Reference `eigen' on page 357 undefined on input line 51.


[357]

LaTeX Warning: Reference `mtxinv:220' on page 358 undefined on input line 60.


LaTeX Warning: Reference `mtxinv:230' on page 358 undefined on input line 62.


LaTeX Warning: Reference `mtxinv:245' on page 358 undefined on input line 62.


LaTeX Warning: Reference `mtxinv:240' on page 358 undefined on input line 64.


LaTeX Warning: Reference `mtxinv:320' on page 358 undefined on input line 64.


LaTeX Warning: Reference `mtxinv:420' on page 358 undefined on input line 68.


LaTeX Warning: Reference `mtxinv:445' on page 358 undefined on input line 69.


LaTeX Warning: Reference `mtxinv:465' on page 358 undefined on input line 70.


LaTeX Warning: Reference `matrix:180.35' on page 358 undefined on input line 85
.


LaTeX Warning: Reference `matrix' on page 358 undefined on input line 120.


LaTeX Warning: Reference `gjrank' on page 358 undefined on input line 120.


LaTeX Warning: Reference `mtxinv:240:50' on page 358 undefined on input line 12
0.


LaTeX Warning: Reference `eigen:600:SVD' on page 358 undefined on input line 12
0.


LaTeX Warning: Reference `matrix:180' on page 358 undefined on input line 120.


Underfull \vbox (badness 10000) has occurred while \output is active
[358]

LaTeX Warning: Reference `matrix:180:35' on page 359 undefined on input line 12
8.


Underfull \vbox (badness 1968) has occurred while \output is active
[359]

LaTeX Warning: Reference `gjrank:341:GJ' on page 360 undefined on input line 16
1.


LaTeX Warning: Reference `gjrank:341:GJinv' on page 360 undefined on input line
 162.


LaTeX Warning: Reference `gjrank:341' on page 360 undefined on input line 162.


LaTeX Warning: Reference `mtxinv:220:20' on page 360 undefined on input line 16
8.


LaTeX Warning: Reference `matrix:321:20' on page 360 undefined on input line 17
2.


LaTeX Warning: Reference `matrix:321:20' on page 360 undefined on input line 17
7.


LaTeX Warning: Reference `matrix:321:10' on page 360 undefined on input line 17
8.


LaTeX Warning: Reference `mtxinv:220:20' on page 360 undefined on input line 17
9.


LaTeX Warning: Reference `mtxinv:220:20' on page 360 undefined on input line 18
8.


LaTeX Warning: Reference `gjrank:340.25' on page 360 undefined on input line 19
4.


LaTeX Warning: Reference `mtxinv:220:20' on page 360 undefined on input line 20
0.


[360]

LaTeX Warning: Reference `mtxinv:220:20' on page 361 undefined on input line 23
4.


LaTeX Warning: Reference `mtxinv:220:20' on page 361 undefined on input line 23
8.


LaTeX Warning: Reference `gjrank:340.20' on page 361 undefined on input line 23
9.


LaTeX Warning: Reference `mtxinv:220:20' on page 361 undefined on input line 24
2.


LaTeX Warning: Reference `gjrank:340.25' on page 361 undefined on input line 24
3.


LaTeX Warning: Reference `matrix:120.27' on page 361 undefined on input line 25
0.


LaTeX Warning: Reference `mtxinv:220:20' on page 361 undefined on input line 25
7.


LaTeX Warning: Reference `mtxinv:220:10' on page 361 undefined on input line 26
8.


LaTeX Warning: Reference `gjrank:340.10' on page 361 undefined on input line 27
8.


LaTeX Warning: Reference `gjrank:340.20' on page 361 undefined on input line 27
9.


LaTeX Warning: Reference `mtxinv:220:20' on page 361 undefined on input line 28
0.


LaTeX Warning: Reference `gjrank:340.20' on page 361 undefined on input line 29
5.


LaTeX Warning: Reference `gjrank:340.25' on page 361 undefined on input line 29
6.


LaTeX Warning: Reference `gjrank:340.24' on page 361 undefined on input line 29
9.


LaTeX Warning: Reference `mtxinv:240' on page 361 undefined on input line 299.


LaTeX Warning: Reference `mtxinv:320' on page 361 undefined on input line 299.


[361]

LaTeX Warning: Reference `matrix:120.10' on page 362 undefined on input line 31
2.


LaTeX Warning: Reference `mtxinv:230:10' on page 362 undefined on input line 32
2.


LaTeX Warning: Reference `mtxinv:230:10' on page 362 undefined on input line 32
4.


LaTeX Warning: Reference `mtxinv:220:20' on page 362 undefined on input line 32
5.


LaTeX Warning: Reference `mtxinv:220:10' on page 362 undefined on input line 32
5.


LaTeX Warning: Reference `mtxinv:230:15' on page 362 undefined on input line 33
1.


LaTeX Warning: Reference `mtxinv:230:15' on page 362 undefined on input line 33
6.


LaTeX Warning: Reference `mtxinv:230:15' on page 362 undefined on input line 33
9.


LaTeX Warning: Citation `Hefferon' on page 362 undefined on input line 367.


LaTeX Warning: Citation `Lay' on page 362 undefined on input line 367.


LaTeX Warning: Reference `mtxinv:230:15' on page 362 undefined on input line 36
7.


LaTeX Warning: Citation `Hefferon' on page 362 undefined on input line 367.


LaTeX Warning: Citation `Lay' on page 362 undefined on input line 367.


LaTeX Warning: Reference `eigen:370' on page 362 undefined on input line 367.


LaTeX Warning: Reference `matrix' on page 362 undefined on input line 367.


LaTeX Warning: Reference `gjrank' on page 362 undefined on input line 367.


LaTeX Warning: Reference `mtxinv:230:15' on page 362 undefined on input line 37
1.


[362]

LaTeX Warning: Reference `mtxinv:320' on page 363 undefined on input line 385.


LaTeX Warning: Reference `gjrank:340.24' on page 363 undefined on input line 38
5.


LaTeX Warning: Reference `gjrank:340.25' on page 363 undefined on input line 39
6.


LaTeX Warning: Reference `mtxinv:245:05' on page 363 undefined on input line 40
2.


LaTeX Warning: Reference `mtxinv:245:05' on page 363 undefined on input line 40
4.


LaTeX Warning: Reference `matrix:321:20' on page 363 undefined on input line 42
4.


[363]

LaTeX Warning: Reference `mtxinv:245:kernel' on page 364 undefined on input lin
e 463.


LaTeX Warning: Reference `gjrank:341:GJinv' on page 364 undefined on input line
 470.


LaTeX Warning: Reference `matrix:340' on page 364 undefined on input line 471.


LaTeX Warning: Reference `mtxinv:245.10' on page 364 undefined on input line 47
2.


LaTeX Warning: Reference `mtxinv:245:kernel' on page 364 undefined on input lin
e 483.


LaTeX Warning: Reference `mtxinv:245:05' on page 364 undefined on input line 49
0.


LaTeX Warning: Reference `mtxinv:240' on page 364 undefined on input line 491.


LaTeX Warning: Reference `gjrank:341:t34' on page 364 undefined on input line 4
99.


LaTeX Warning: Reference `gjrank:341:t34' on page 364 undefined on input line 5
00.


[364]

LaTeX Warning: Reference `mtxinv:245:30' on page 365 undefined on input line 51
4.


LaTeX Warning: Reference `matrix' on page 365 undefined on input line 526.


LaTeX Warning: Reference `gjrank' on page 365 undefined on input line 526.


LaTeX Warning: Reference `mtxinv:245:30' on page 365 undefined on input line 52
9.


LaTeX Warning: Reference `mtxinv:245:30' on page 365 undefined on input line 53
0.


LaTeX Warning: Reference `mtxinv:245:30' on page 365 undefined on input line 54
0.


LaTeX Warning: Reference `mtxinv:245:05' on page 365 undefined on input line 56
1.


[365]

LaTeX Warning: Reference `mtxinv:245:10' on page 366 undefined on input line 58
5.


LaTeX Warning: Reference `mtxinv:245:42' on page 366 undefined on input line 63
2.


LaTeX Warning: Reference `matrix:340:61' on page 366 undefined on input line 63
3.


LaTeX Warning: Reference `mtxinv:245:41' on page 366 undefined on input line 63
4.


[366]

LaTeX Warning: Reference `gjrank:341:t34' on page 367 undefined on input line 6
41.


LaTeX Warning: Reference `mtxinv:245:33' on page 367 undefined on input line 64
3.


LaTeX Warning: Reference `mtxinv:245:33' on page 367 undefined on input line 64
4.


LaTeX Warning: Reference `mtxinv:245:34' on page 367 undefined on input line 65
5.


LaTeX Warning: Reference `gjrank:341:t34' on page 367 undefined on input line 6
58.


LaTeX Warning: Reference `mtxinv:245:35' on page 367 undefined on input line 67
8.


LaTeX Warning: Reference `mtxinv:245:36' on page 367 undefined on input line 67
8.


LaTeX Warning: Reference `mtxinv:245:33' on page 367 undefined on input line 67
9.


LaTeX Warning: Reference `gjrank:341:t34' on page 367 undefined on input line 6
91.


[367]

LaTeX Warning: Reference `matrix:340:61' on page 368 undefined on input line 69
6.


LaTeX Warning: Reference `mtxinv:245:34' on page 368 undefined on input line 69
7.


LaTeX Warning: Reference `mtxinv:245:34' on page 368 undefined on input line 69
8.


LaTeX Warning: Reference `mtxinv:245:kernel' on page 368 undefined on input lin
e 699.


LaTeX Warning: Reference `mtxinv:245:kernel' on page 368 undefined on input lin
e 704.


LaTeX Warning: Reference `mtxinv:245:41' on page 368 undefined on input line 71
3.


LaTeX Warning: Reference `mtxinv:245:kernel' on page 368 undefined on input lin
e 715.


LaTeX Warning: Reference `mtxinv:245:10' on page 368 undefined on input line 72
4.


LaTeX Warning: Reference `gjrank:338' on page 368 undefined on input line 737.


LaTeX Warning: Reference `gjrank:340.05' on page 368 undefined on input line 74
2.


LaTeX Warning: Reference `gjrank:340.10' on page 368 undefined on input line 74
2.


LaTeX Warning: Reference `mtxinv:QR' on page 368 undefined on input line 745.


[368]
[369]

LaTeX Warning: Reference `mtxinv:245:49' on page 370 undefined on input line 87
5.


LaTeX Warning: Reference `mtxinv:230' on page 370 undefined on input line 892.


Underfull \vbox (badness 10000) has occurred while \output is active
[370]

LaTeX Warning: Reference `gjrank:340.25' on page 371 undefined on input line 89
9.


LaTeX Warning: Reference `mtxinv:230' on page 371 undefined on input line 904.


LaTeX Warning: Reference `mtxinv:240:05' on page 371 undefined on input line 91
7.


LaTeX Warning: Reference `mtxinv:240:05' on page 371 undefined on input line 92
9.


LaTeX Warning: Reference `mtxinv:240:20' on page 371 undefined on input line 93
1.


LaTeX Warning: Reference `mtxinv:240:05' on page 371 undefined on input line 93
5.


LaTeX Warning: Reference `mtxinv:240:05' on page 371 undefined on input line 93
9.


LaTeX Warning: Reference `mtxinv:245:kernel' on page 371 undefined on input lin
e 944.


LaTeX Warning: Reference `mtxinv:240:05' on page 371 undefined on input line 94
6.


LaTeX Warning: Reference `mtxinv:240.30' on page 371 undefined on input line 94
7.


LaTeX Warning: Reference `mtxinv:245:49' on page 371 undefined on input line 95
7.


[371]

LaTeX Warning: Reference `mtxinv:240:20' on page 372 undefined on input line 96
7.


LaTeX Warning: Reference `mtxinv:245:kernel' on page 372 undefined on input lin
e 995.


LaTeX Warning: Reference `mtxinv:240:20' on page 372 undefined on input line 99
5.


LaTeX Warning: Reference `mtxinv:240:25' on page 372 undefined on input line 99
6.


LaTeX Warning: Reference `gjrank:341:GJinv' on page 372 undefined on input line
 996.


LaTeX Warning: Reference `mtxinv:240:05' on page 372 undefined on input line 10
01.


LaTeX Warning: Reference `mtxinv:240:50' on page 372 undefined on input line 10
06.


LaTeX Warning: Reference `mtxinv:240:50' on page 372 undefined on input line 10
07.


LaTeX Warning: Reference `mtxinv:240:50' on page 372 undefined on input line 10
65.


LaTeX Warning: Reference `mtxinv:240:50' on page 372 undefined on input line 10
67.


[372]

LaTeX Warning: Reference `mtxinv:240:50' on page 373 undefined on input line 10
73.


LaTeX Warning: Reference `eigen:470' on page 373 undefined on input line 1077.


LaTeX Warning: Reference `mtxinv:220:20' on page 373 undefined on input line 10
86.


LaTeX Warning: Reference `mtxinv:230:15' on page 373 undefined on input line 10
86.


LaTeX Warning: Reference `mtxinv:240:50' on page 373 undefined on input line 10
88.


LaTeX Warning: Reference `gjrank:340.24' on page 373 undefined on input line 10
95.


[373]

LaTeX Warning: Reference `greek' on page 374 undefined on input line 1116.


LaTeX Warning: Citation `vdVorst' on page 374 undefined on input line 1121.


LaTeX Warning: Citation `Peterson/Mittra:1986' on page 374 undefined on input l
ine 1121.


LaTeX Warning: Reference `mtxinv:315:05' on page 374 undefined on input line 11
26.


LaTeX Warning: Reference `mtxinv:320:fig1' on page 374 undefined on input line 
1163.


LaTeX Warning: Reference `mtxinv:220' on page 374 undefined on input line 1170.



LaTeX Warning: Reference `mtxinv:230' on page 374 undefined on input line 1170.



Package pst-pdf Warning: pspicture No. 45 undefined.


[374]

LaTeX Warning: Reference `mtxinv:245.70' on page 375 undefined on input line 12
87.


LaTeX Warning: Reference `mtxinv:245.70' on page 375 undefined on input line 12
87.


LaTeX Warning: Reference `mtxinv:315' on page 375 undefined on input line 1293.



LaTeX Warning: Reference `mtxinv:315:05' on page 375 undefined on input line 13
10.


[375]

LaTeX Warning: Reference `matrix:350' on page 376 undefined on input line 1339.



LaTeX Warning: Reference `matrix:350:Jacobian-prod' on page 376 undefined on in
put line 1345.


LaTeX Warning: Reference `mtxinv:320.30' on page 376 undefined on input line 13
57.


LaTeX Warning: Reference `mtxinv:315:05' on page 376 undefined on input line 13
63.


LaTeX Warning: Reference `mtxinv:320:leastsq' on page 376 undefined on input li
ne 1367.


LaTeX Warning: Reference `mtxinv:320:fig1' on page 376 undefined on input line 
1368.


LaTeX Warning: Reference `mtxinv:residual-norm' on page 376 undefined on input 
line 1372.


LaTeX Warning: Reference `mtxinv:residual-norm' on page 376 undefined on input 
line 1422.


LaTeX Warning: Reference `noth:420' on page 376 undefined on input line 1422.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1424.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `superscript' on input line 1424.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1424.


LaTeX Warning: Reference `mtxinv:320.20' on page 376 undefined on input line 14
28.


[376]

LaTeX Warning: Reference `mtxinv:220' on page 377 undefined on input line 1447.



LaTeX Warning: Reference `gjrank:340.25' on page 377 undefined on input line 14
48.


[377]

LaTeX Warning: Reference `mtxinv:320.30' on page 378 undefined on input line 14
88.


LaTeX Warning: Reference `mtxinv:320:34' on page 378 undefined on input line 14
91.


LaTeX Warning: Reference `mtxinv:445' on page 378 undefined on input line 1510.



LaTeX Warning: Reference `gjrank:340:26' on page 378 undefined on input line 15
21.


LaTeX Warning: Reference `mtxinv:315:95' on page 378 undefined on input line 15
27.


[378]

LaTeX Warning: Reference `gjrank:341:GJ' on page 379 undefined on input line 15
35.


LaTeX Warning: Reference `mtxinv:320:leastsq' on page 379 undefined on input li
ne 1538.


LaTeX Warning: Reference `mtxinv:315:05' on page 379 undefined on input line 15
38.


LaTeX Warning: Reference `mtxinv:320:50' on page 379 undefined on input line 15
61.


LaTeX Warning: Reference `mtxinv:320.30' on page 379 undefined on input line 15
62.


LaTeX Warning: Reference `mtxinv:320:50' on page 379 undefined on input line 15
66.


LaTeX Warning: Reference `mtxinv:320:50' on page 379 undefined on input line 15
68.


LaTeX Warning: Reference `mtxinv:320:50' on page 379 undefined on input line 15
73.


LaTeX Warning: Reference `mtxinv:320:leastsq' on page 379 undefined on input li
ne 1573.


LaTeX Warning: Reference `mtxinv:320:50' on page 379 undefined on input line 15
78.


[379]

LaTeX Warning: Reference `mtxinv:320:50' on page 380 undefined on input line 15
90.


LaTeX Warning: Reference `mtxinv:residual' on page 380 undefined on input line 
1590.


LaTeX Warning: Reference `mtxinv:320:50' on page 380 undefined on input line 16
09.


LaTeX Warning: Reference `noth:420.20' on page 380 undefined on input line 1627
.


LaTeX Warning: Reference `inttx:250' on page 380 undefined on input line 1627.


LaTeX Warning: Reference `noth' on page 380 undefined on input line 1627.


LaTeX Warning: Reference `noth:420:85' on page 380 undefined on input line 1627
.


LaTeX Warning: Reference `mtxinv:320.34' on page 380 undefined on input line 16
31.


LaTeX Warning: Reference `mtxinv:320:50' on page 380 undefined on input line 16
36.


[380]

LaTeX Warning: Reference `mtxinv:320:50' on page 381 undefined on input line 16
59.


[381]

LaTeX Warning: Reference `mtxinv:320:50' on page 382 undefined on input line 17
10.


LaTeX Warning: Reference `mtxinv:315:05' on page 382 undefined on input line 17
18.


LaTeX Warning: Reference `mtxinv:320:70' on page 382 undefined on input line 17
22.


LaTeX Warning: Reference `mtxinv:240:25' on page 382 undefined on input line 17
27.


LaTeX Warning: Reference `mtxinv:320:fig1' on page 382 undefined on input line 
1729.


LaTeX Warning: Citation `Beattie' on page 382 undefined on input line 1742.


LaTeX Warning: Citation `planetm' on page 382 undefined on input line 1742.


LaTeX Warning: Citation `Gujarati' on page 382 undefined on input line 1742.


LaTeX Warning: Reference `drvtv:270' on page 382 undefined on input line 1754.


[382]

LaTeX Warning: Reference `matrix:350' on page 383 undefined on input line 1768.



LaTeX Warning: Reference `mtxinv:320' on page 383 undefined on input line 1783.



LaTeX Warning: Reference `mtxinv:220' on page 383 undefined on input line 1784.



LaTeX Warning: Reference `drvtv:270' on page 383 undefined on input line 1786.


LaTeX Warning: Reference `drvtv:270:fig1' on page 383 undefined on input line 1
786.


LaTeX Warning: Citation `Scales-lecture' on page 383 undefined on input line 17
89.


LaTeX Warning: Reference `mtxinv:NR' on page 383 undefined on input line 1791.


LaTeX Warning: Reference `mtxinv:psinv' on page 383 undefined on input line 179
4.


LaTeX Warning: Reference `mtxinv:psinv' on page 383 undefined on input line 182
3.


LaTeX Warning: Reference `mtxinv:420:70' on page 383 undefined on input line 18
25.


LaTeX Warning: Reference `drvtv:270:fig1' on page 383 undefined on input line 1
826.


LaTeX Warning: Citation `Beattie' on page 383 undefined on input line 1861.


LaTeX Warning: Citation `Franklin' on page 383 undefined on input line 1861.


LaTeX Warning: Citation `HFDavis' on page 383 undefined on input line 1861.


[383]

LaTeX Warning: Reference `matrix:150' on page 384 undefined on input line 1879.



[384]

LaTeX Warning: Reference `alggeo:323:20' on page 385 undefined on input line 19
59.


LaTeX Warning: Reference `trig:278:triangle2' on page 385 undefined on input li
ne 1960.


LaTeX Warning: Reference `mtxinv:447.30' on page 385 undefined on input line 19
66.


LaTeX Warning: Reference `mtxinv:447:10' on page 385 undefined on input line 19
68.


LaTeX Warning: Reference `mtxinv:447.20' on page 385 undefined on input line 19
68.


LaTeX Warning: Reference `trig' on page 385 undefined on input line 1998.


LaTeX Warning: Reference `vector' on page 385 undefined on input line 1998.


LaTeX Warning: Reference `mtxinv:schwarz' on page 385 undefined on input line 1
999.


LaTeX Warning: Citation `Wu/Wu' on page 385 undefined on input line 2006.


LaTeX Warning: Citation `HFDavis' on page 385 undefined on input line 2006.


LaTeX Warning: Citation `wikip' on page 385 undefined on input line 2006.


[385]

LaTeX Warning: Reference `alggeo:225:24' on page 386 undefined on input line 20
16.


LaTeX Warning: Reference `mtxinv:445:dotmag' on page 386 undefined on input lin
e 2016.


[386]

LaTeX Warning: Reference `mtxinv:schwarz' on page 387 undefined on input line 2
070.


LaTeX Warning: Reference `mtxinv:447:10' on page 387 undefined on input line 20
77.


LaTeX Warning: Reference `mtxinv:445:dotmag' on page 387 undefined on input lin
e 2083.


LaTeX Warning: Reference `mtxinv:schwarz' on page 387 undefined on input line 2
100.


LaTeX Warning: Reference `mtxinv:447:10' on page 387 undefined on input line 21
09.


[387]

LaTeX Warning: Reference `mtxinv:447:10' on page 388 undefined on input line 21
32.


LaTeX Warning: Citation `HFDavis' on page 388 undefined on input line 2137.


LaTeX Warning: Reference `trig:278' on page 388 undefined on input line 2139.


LaTeX Warning: Reference `mtxinv:245' on page 388 undefined on input line 2154.



LaTeX Warning: Citation `Hefferon' on page 388 undefined on input line 2164.


LaTeX Warning: Citation `Beattie' on page 388 undefined on input line 2164.


LaTeX Warning: Citation `Lay' on page 388 undefined on input line 2164.


LaTeX Warning: Reference `mtxinv:450:20' on page 388 undefined on input line 21
64.


LaTeX Warning: Reference `mtxinv:245:08' on page 388 undefined on input line 21
64.


LaTeX Warning: Citation `Hefferon' on page 388 undefined on input line 2179.


[388]

LaTeX Warning: Reference `mtxinv:245' on page 389 undefined on input line 2209.



LaTeX Warning: Reference `mtxinv:445:20' on page 389 undefined on input line 22
18.


LaTeX Warning: Reference `eigen' on page 389 undefined on input line 2220.


LaTeX Warning: Reference `mtxinv:445:20' on page 389 undefined on input line 22
50.


LaTeX Warning: Reference `mtxinv:445:25' on page 389 undefined on input line 22
51.


[389]

LaTeX Warning: Reference `mtxinv:445:20' on page 390 undefined on input line 22
76.


LaTeX Warning: Reference `mtxinv:460:34' on page 390 undefined on input line 22
78.


LaTeX Warning: Reference `mtxinv:460:35' on page 390 undefined on input line 22
78.


LaTeX Warning: Reference `gjrank:338' on page 390 undefined on input line 2304.



LaTeX Warning: Reference `mtxinv:460:10' on page 390 undefined on input line 23
05.


LaTeX Warning: Reference `mtxinv:460:50' on page 390 undefined on input line 23
26.


LaTeX Warning: Reference `mtxinv:460:34' on page 390 undefined on input line 23
32.


LaTeX Warning: Reference `mtxinv:460:50' on page 390 undefined on input line 23
34.


[390]

LaTeX Warning: Reference `mtxinv:460:55' on page 391 undefined on input line 23
48.


LaTeX Warning: Citation `wikip' on page 391 undefined on input line 2357.


LaTeX Warning: Reference `gjrank:341.10' on page 391 undefined on input line 23
86.


LaTeX Warning: Reference `gjrank:341:05' on page 391 undefined on input line 23
86.


LaTeX Warning: Reference `mtxinv:460:50' on page 391 undefined on input line 23
91.


LaTeX Warning: Reference `mtxinv:460:55' on page 391 undefined on input line 23
91.


LaTeX Warning: Reference `gjrank:337:table' on page 391 undefined on input line
 2395.


LaTeX Warning: Reference `mtxinv:QR' on page 391 undefined on input line 2397.


LaTeX Warning: Reference `mtxinv:460:50' on page 391 undefined on input line 24
03.


LaTeX Warning: Reference `mtxinv:460:55' on page 391 undefined on input line 24
03.


[391]

LaTeX Warning: Reference `mtxinv:460:55' on page 392 undefined on input line 24
17.


LaTeX Warning: Reference `mtxinv:461:s20' on page 392 undefined on input line 2
432.


LaTeX Warning: Reference `mtxinv:461:s10' on page 392 undefined on input line 2
451.


LaTeX Warning: Reference `mtxinv:461:s80' on page 392 undefined on input line 2
453.


LaTeX Warning: Reference `matrix:330.05' on page 392 undefined on input line 24
55.


LaTeX Warning: Reference `matrix:325.20' on page 392 undefined on input line 24
56.


LaTeX Warning: Reference `matrix:325.10' on page 392 undefined on input line 24
58.


LaTeX Warning: Reference `mtxinv:461:s90' on page 392 undefined on input line 2
472.


[392]

LaTeX Warning: Reference `mtxinv:460:60' on page 393 undefined on input line 24
75.


LaTeX Warning: Reference `gjrank:337:table' on page 393 undefined on input line
 2490.


LaTeX Warning: Reference `mtxinv:460:60' on page 393 undefined on input line 25
01.


LaTeX Warning: Reference `mtxinv:461:s40' on page 393 undefined on input line 2
530.


LaTeX Warning: Reference `mtxinv:461:s60' on page 393 undefined on input line 2
531.


LaTeX Warning: Reference `mtxinv:461:s80' on page 393 undefined on input line 2
532.


LaTeX Warning: Reference `mtxinv:460:60' on page 393 undefined on input line 25
33.


LaTeX Warning: Reference `mtxinv:460:55' on page 393 undefined on input line 25
42.


[393]

LaTeX Warning: Reference `mtxinv:461:s50' on page 394 undefined on input line 2
558.


LaTeX Warning: Reference `mtxinv:461:s15' on page 394 undefined on input line 2
564.


LaTeX Warning: Reference `mtxinv:QR' on page 394 undefined on input line 2593.


LaTeX Warning: Reference `gjrank:340.60' on page 394 undefined on input line 25
96.


LaTeX Warning: Reference `mtxinv:461:s20' on page 394 undefined on input line 2
600.


LaTeX Warning: Reference `mtxinv:QR' on page 394 undefined on input line 2608.


LaTeX Warning: Reference `gjrank:340:26' on page 394 undefined on input line 26
16.


LaTeX Warning: Reference `mtxinv:psinv' on page 394 undefined on input line 261
8.


LaTeX Warning: Reference `mtxinv:QRinv' on page 394 undefined on input line 261
8.


LaTeX Warning: Reference `mtxinv:QR' on page 394 undefined on input line 2622.


LaTeX Warning: Reference `mtxinv:465' on page 394 undefined on input line 2628.



[394]

LaTeX Warning: Reference `mtxinv:460.40' on page 395 undefined on input line 26
31.


LaTeX Warning: Reference `mtxinv:450:perp' on page 395 undefined on input line 
2644.


LaTeX Warning: Reference `mtxinv:461:s20' on page 395 undefined on input line 2
655.


LaTeX Warning: Reference `mtxinv:461:s50' on page 395 undefined on input line 2
656.


LaTeX Warning: Reference `mtxinv:460:74' on page 395 undefined on input line 26
58.


LaTeX Warning: Reference `mtxinv:450' on page 395 undefined on input line 2671.



LaTeX Warning: Reference `mtxinv:460:perp0' on page 395 undefined on input line
 2679.


[395]

LaTeX Warning: Reference `mtxinv:245:kernel' on page 396 undefined on input lin
e 2701.


LaTeX Warning: Reference `mtxinv:460:perp' on page 396 undefined on input line 
2704.


LaTeX Warning: Reference `mtxinv:460:perp' on page 396 undefined on input line 
2705.


LaTeX Warning: Reference `mtxinv:450:perp' on page 396 undefined on input line 
2706.


LaTeX Warning: Reference `mtxinv:245:kernel' on page 396 undefined on input lin
e 2707.


LaTeX Warning: Reference `mtxinv:465' on page 396 undefined on input line 2710.



Underfull \hbox (badness 1484) in paragraph at lines 2700--2712
\OT1/cmr/m/n/10.95 of ([]) to ac-com-pany the Gram-Schmidt or-thog-o-nal com-pl
e-ment of

LaTeX Warning: Reference `mtxinv:QR' on page 396 undefined on input line 2723.


LaTeX Warning: Citation `Franklin' on page 396 undefined on input line 2735.


LaTeX Warning: Reference `mtxinv:220' on page 396 undefined on input line 2737.



LaTeX Warning: Reference `mtxinv:unitary' on page 396 undefined on input line 2
744.


LaTeX Warning: Reference `matrix:325.10' on page 396 undefined on input line 27
46.


LaTeX Warning: Reference `mtxinv:465:15' on page 396 undefined on input line 27
47.


LaTeX Warning: Reference `mtxinv:unitary' on page 396 undefined on input line 2
752.


[396]

LaTeX Warning: Reference `matrix:120.27' on page 397 undefined on input line 27
66.


LaTeX Warning: Reference `mtxinv:unitary' on page 397 undefined on input line 2
802.


LaTeX Warning: Reference `mtxinv:465:15' on page 397 undefined on input line 28
12.


LaTeX Warning: Reference `mtxinv:QR' on page 397 undefined on input line 2813.


LaTeX Warning: Reference `mtxinv:unitary' on page 397 undefined on input line 2
827.


[397]

LaTeX Warning: Reference `eigen:520' on page 398 undefined on input line 2832.


LaTeX Warning: Reference `eigen:600' on page 398 undefined on input line 2832.


LaTeX Warning: Reference `eigen' on page 398 undefined on input line 2846.

)
[398] (./eigen.tex
Chapter 14.

LaTeX Warning: Reference `matrix' on page 399 undefined on input line 17.


LaTeX Warning: Reference `eigen' on page 399 undefined on input line 17.


LaTeX Warning: Reference `eigen:370' on page 399 undefined on input line 18.


LaTeX Warning: Reference `matrix' on page 399 undefined on input line 28.


LaTeX Warning: Reference `gjrank' on page 399 undefined on input line 28.


LaTeX Warning: Reference `mtxinv' on page 399 undefined on input line 28.


LaTeX Warning: Reference `matrix:322' on page 399 undefined on input line 38.


LaTeX Warning: Reference `matrix:325.10' on page 399 undefined on input line 39
.


[399]

LaTeX Warning: Reference `matrix:325.10' on page 400 undefined on input line 98
.


[400]

LaTeX Warning: Reference `matrix:180.22' on page 401 undefined on input line 12
6.


LaTeX Warning: Reference `matrix:321' on page 401 undefined on input line 126.


LaTeX Warning: Reference `matrix:321:20' on page 401 undefined on input line 12
7.


LaTeX Warning: Reference `mtxinv' on page 401 undefined on input line 131.


LaTeX Warning: Reference `mtxinv:245:08' on page 401 undefined on input line 13
1.


LaTeX Warning: Reference `mtxinv:450:08' on page 401 undefined on input line 13
1.


LaTeX Warning: Citation `Franklin' on page 401 undefined on input line 135.


LaTeX Warning: Citation `Franklin' on page 401 undefined on input line 145.


[401]

LaTeX Warning: Reference `eigen:310:11' on page 402 undefined on input line 197
.


LaTeX Warning: Reference `integ:240.05' on page 402 undefined on input line 198
.


LaTeX Warning: Reference `matrix:000:20' on page 402 undefined on input line 19
9.


LaTeX Warning: Reference `eigen:310:12' on page 402 undefined on input line 224
.


LaTeX Warning: Reference `integ:240.05' on page 402 undefined on input line 225
.


LaTeX Warning: Reference `matrix:000:20' on page 402 undefined on input line 22
5.


[402]

LaTeX Warning: Reference `eigen:310:11' on page 403 undefined on input line 274
.


LaTeX Warning: Reference `eigen:310:12' on page 403 undefined on input line 274
.


LaTeX Warning: Reference `eigen:310:18' on page 403 undefined on input line 275
.


LaTeX Warning: Reference `eigen:310:16' on page 403 undefined on input line 279
.


LaTeX Warning: Reference `eigen:310:19' on page 403 undefined on input line 282
.


LaTeX Warning: Reference `matrix:325.10' on page 403 undefined on input line 28
3.


LaTeX Warning: Reference `eigen:310:17' on page 403 undefined on input line 287
.


LaTeX Warning: Reference `eigen:310:17' on page 403 undefined on input line 289
.


LaTeX Warning: Reference `eigen:310:11' on page 403 undefined on input line 295
.


LaTeX Warning: Reference `eigen:310:16' on page 403 undefined on input line 297
.


[403]

LaTeX Warning: Reference `eigen:310:21' on page 404 undefined on input line 331
.


LaTeX Warning: Reference `eigen:310:17' on page 404 undefined on input line 344
.


LaTeX Warning: Reference `eigen:310:12' on page 404 undefined on input line 350
.


LaTeX Warning: Reference `eigen:310:21' on page 404 undefined on input line 354
.


LaTeX Warning: Reference `eigen:310.25' on page 404 undefined on input line 362
.


LaTeX Warning: Reference `matrix:320' on page 404 undefined on input line 366.


LaTeX Warning: Reference `eigen:310:25' on page 404 undefined on input line 390
.


LaTeX Warning: Reference `eigen:310:27' on page 404 undefined on input line 390
.


LaTeX Warning: Reference `alggeo:227' on page 404 undefined on input line 401.


LaTeX Warning: Reference `eigen:310:30' on page 404 undefined on input line 401
.


[404]

LaTeX Warning: Reference `gjrank:341' on page 405 undefined on input line 411.


LaTeX Warning: Reference `eigen:310.40' on page 405 undefined on input line 413
.


LaTeX Warning: Reference `eigen:310:26' on page 405 undefined on input line 413
.


LaTeX Warning: Reference `eigen:310:25' on page 405 undefined on input line 421
.


LaTeX Warning: Reference `matrix:180.35' on page 405 undefined on input line 42
7.


LaTeX Warning: Reference `gjrank:340.20' on page 405 undefined on input line 43
5.


LaTeX Warning: Reference `gjrank:341' on page 405 undefined on input line 438.


LaTeX Warning: Reference `eigen:310:18' on page 405 undefined on input line 439
.


LaTeX Warning: Reference `eigen:310.35' on page 405 undefined on input line 454
.


LaTeX Warning: Reference `eigen:310.37' on page 405 undefined on input line 454
.


Underfull \vbox (badness 1122) has occurred while \output is active
[405]

LaTeX Warning: Reference `gjrank:340.10' on page 406 undefined on input line 46
2.


LaTeX Warning: Reference `eigen:310:30' on page 406 undefined on input line 466
.


LaTeX Warning: Reference `eigen:310:26' on page 406 undefined on input line 495
.


LaTeX Warning: Reference `eigen:310:30' on page 406 undefined on input line 499
.


LaTeX Warning: Reference `eigen:310:30' on page 406 undefined on input line 510
.


LaTeX Warning: Reference `eigen:310:19' on page 406 undefined on input line 516
.


LaTeX Warning: Reference `mtxinv:465' on page 406 undefined on input line 517.


[406]

LaTeX Warning: Reference `eigen:310:50' on page 407 undefined on input line 574
.


LaTeX Warning: Reference `eigen:310:54' on page 407 undefined on input line 592
.


[407]

LaTeX Warning: Reference `eigen:310:17' on page 408 undefined on input line 601
.


LaTeX Warning: Reference `eigen:310:54' on page 408 undefined on input line 603
.


LaTeX Warning: Reference `eigen:310:50' on page 408 undefined on input line 604
.


LaTeX Warning: Reference `eigen:310:50' on page 408 undefined on input line 609
.


LaTeX Warning: Citation `Franklin' on page 408 undefined on input line 616.


LaTeX Warning: Reference `eigen:310:58' on page 408 undefined on input line 616
.


LaTeX Warning: Reference `mtxinv:230:15' on page 408 undefined on input line 61
6.


LaTeX Warning: Reference `eigen:310:58' on page 408 undefined on input line 616
.


LaTeX Warning: Reference `eigen:310:58' on page 408 undefined on input line 624
.


LaTeX Warning: Reference `eigen:310:58' on page 408 undefined on input line 627
.


LaTeX Warning: Reference `eigen:310:58' on page 408 undefined on input line 629
.


LaTeX Warning: Reference `matrix' on page 408 undefined on input line 657.


LaTeX Warning: Reference `gjrank' on page 408 undefined on input line 657.


LaTeX Warning: Reference `mtxinv' on page 408 undefined on input line 657.


[408]

LaTeX Warning: Reference `mtxinv:220' on page 409 undefined on input line 667.


LaTeX Warning: Reference `gjrank:335' on page 409 undefined on input line 670.


LaTeX Warning: Reference `gjrank:341.11' on page 409 undefined on input line 67
0.


LaTeX Warning: Reference `gjrank:340.25' on page 409 undefined on input line 67
3.


LaTeX Warning: Reference `gjrank:340.60' on page 409 undefined on input line 67
7.


LaTeX Warning: Reference `gjrank:341.10' on page 409 undefined on input line 68
0.


LaTeX Warning: Reference `gjrank:340.20' on page 409 undefined on input line 68
1.


LaTeX Warning: Reference `mtxinv:460.30' on page 409 undefined on input line 68
5.


LaTeX Warning: Reference `gjrank:340.25' on page 409 undefined on input line 68
8.


LaTeX Warning: Reference `mtxinv:230' on page 409 undefined on input line 693.


LaTeX Warning: Reference `eigen:310.37' on page 409 undefined on input line 696
.


LaTeX Warning: Reference `eigen:410' on page 409 undefined on input line 699.


LaTeX Warning: Reference `drvtv:210.001' on page 409 undefined on input line 72
1.


LaTeX Warning: Reference `eigen:470' on page 409 undefined on input line 722.


[409]

LaTeX Warning: Reference `eigen:310.37' on page 410 undefined on input line 748
.


LaTeX Warning: Reference `eigen:eigdet' on page 410 undefined on input line 752
.


LaTeX Warning: Reference `eigen:eigen' on page 410 undefined on input line 781.



LaTeX Warning: Reference `eigen:420' on page 410 undefined on input line 783.


[410]

LaTeX Warning: Reference `eigen:eigdet' on page 411 undefined on input line 802
.


LaTeX Warning: Reference `eigen:410:30' on page 411 undefined on input line 814
.


LaTeX Warning: Reference `eigen:eigdet' on page 411 undefined on input line 818
.


LaTeX Warning: Reference `alggeo:240:quad' on page 411 undefined on input line 
821.


LaTeX Warning: Reference `cubic' on page 411 undefined on input line 822.


LaTeX Warning: Reference `drvtv:NR' on page 411 undefined on input line 822.


LaTeX Warning: Reference `eigen:eigdet' on page 411 undefined on input line 823
.


LaTeX Warning: Citation `Franklin' on page 411 undefined on input line 833.


LaTeX Warning: Reference `eigen:410:10' on page 411 undefined on input line 841
.


LaTeX Warning: Reference `eigen:eigdet' on page 411 undefined on input line 841
.


LaTeX Warning: Reference `eigen:410:10' on page 411 undefined on input line 845
.


LaTeX Warning: Reference `mtxinv:245:kernel' on page 411 undefined on input lin
e 853.


LaTeX Warning: Reference `mtxinv:450:perp' on page 411 undefined on input line 
854.


[411]

LaTeX Warning: Reference `eigen:410:30' on page 412 undefined on input line 882
.


LaTeX Warning: Reference `eigen:410' on page 412 undefined on input line 883.


LaTeX Warning: Citation `math21b' on page 412 undefined on input line 920.


LaTeX Warning: Reference `eigen:520.30' on page 412 undefined on input line 923
.


[412]

LaTeX Warning: Reference `mtxinv:320.34' on page 413 undefined on input line 94
4.


LaTeX Warning: Reference `noth:320:50' on page 413 undefined on input line 949.



LaTeX Warning: Reference `eigen:eigdet' on page 413 undefined on input line 950
.


LaTeX Warning: Reference `eigen:410:10' on page 413 undefined on input line 952
.


LaTeX Warning: Reference `eigen:422' on page 413 undefined on input line 970.


[413]

LaTeX Warning: Reference `eigen:diag' on page 414 undefined on input line 1005.



LaTeX Warning: Reference `eigen:diag' on page 414 undefined on input line 1006.



LaTeX Warning: Reference `eigen:422' on page 414 undefined on input line 1013.


LaTeX Warning: Reference `eigen:diag' on page 414 undefined on input line 1025.



LaTeX Warning: Reference `matrix:325:diag' on page 414 undefined on input line 
1029.


Overfull \hbox (11.17189pt too wide) in paragraph at lines 1029--1032
[]\OT1/cmr/m/n/10.95 The di-ag-o-nal ma-trix $[]\OMS/cmsy/m/n/10.95 f\OT1/cmr/b
x/n/10.95 x\OMS/cmsy/m/n/10.95 g$ \OT1/cmr/m/n/10.95 of ([]) is triv-ially di-a
g-o-nal-iz-able as $[]\OMS/cmsy/m/n/10.95 f\OT1/cmr/bx/n/10.95 x\OMS/cmsy/m/n/1
0.95 g \OT1/cmr/m/n/10.95 =

[414]

LaTeX Warning: Reference `cexp:230:33' on page 415 undefined on input line 1053
.


LaTeX Warning: Reference `eigen:520.30' on page 415 undefined on input line 107
9.


LaTeX Warning: Reference `matrix' on page 415 undefined on input line 1105.


[415]

LaTeX Warning: Reference `eigen:520.30' on page 416 undefined on input line 110
7.


LaTeX Warning: Reference `eigen:900' on page 416 undefined on input line 1107.


LaTeX Warning: Reference `eigen:429' on page 416 undefined on input line 1120.


LaTeX Warning: Reference `eigen:410' on page 416 undefined on input line 1147.


LaTeX Warning: Citation `deSturler-lecture' on page 416 undefined on input line
 1161.


[416]

LaTeX Warning: Reference `eigen:470:10' on page 417 undefined on input line 124
2.


[417]

LaTeX Warning: Citation `Hefferon' on page 418 undefined on input line 1314.


LaTeX Warning: Citation `Lay' on page 418 undefined on input line 1314.


LaTeX Warning: Reference `mtxinv:465' on page 418 undefined on input line 1327.



LaTeX Warning: Reference `matrix:321' on page 418 undefined on input line 1332.



LaTeX Warning: Reference `gjrank:337' on page 418 undefined on input line 1332.



[418]

LaTeX Warning: Reference `mtxinv:465' on page 419 undefined on input line 1363.



LaTeX Warning: Reference `eigen:schur' on page 419 undefined on input line 1393
.


LaTeX Warning: Reference `greek' on page 419 undefined on input line 1393.


Underfull \vbox (badness 3646) has occurred while \output is active
[419]

LaTeX Warning: Reference `matrix:340' on page 420 undefined on input line 1438.



[420]

LaTeX Warning: Reference `eigen:520:22' on page 421 undefined on input line 145
6.


LaTeX Warning: Reference `eigen:520:22' on page 421 undefined on input line 145
8.


LaTeX Warning: Reference `eigen:520:22' on page 421 undefined on input line 148
0.


Underfull \vbox (badness 10000) has occurred while \output is active
[421]

LaTeX Warning: Reference `eigen:520:25' on page 422 undefined on input line 151
8.


LaTeX Warning: Reference `matrix:340:61' on page 422 undefined on input line 15
19.


LaTeX Warning: Reference `eigen:520:22' on page 422 undefined on input line 154
3.


LaTeX Warning: Reference `eigen:520:22' on page 422 undefined on input line 154
7.


LaTeX Warning: Reference `matrix:340:61' on page 422 undefined on input line 15
55.


LaTeX Warning: Reference `eigen:520:25' on page 422 undefined on input line 156
0.


LaTeX Warning: Reference `eigen:520:30' on page 422 undefined on input line 156
4.


[422]

LaTeX Warning: Reference `eigen:520:25' on page 423 undefined on input line 157
9.


LaTeX Warning: Reference `eigen:520:38' on page 423 undefined on input line 158
3.


LaTeX Warning: Reference `eigen:520:40' on page 423 undefined on input line 158
3.


LaTeX Warning: Reference `eigen:520:22' on page 423 undefined on input line 158
6.


LaTeX Warning: Reference `eigen:520:40' on page 423 undefined on input line 158
7.


LaTeX Warning: Reference `eigen:520:40' on page 423 undefined on input line 159
0.


LaTeX Warning: Reference `eigen:422' on page 423 undefined on input line 1591.


LaTeX Warning: Reference `mtxinv:460.30' on page 423 undefined on input line 16
02.


LaTeX Warning: Reference `mtxinv:461:s20' on page 423 undefined on input line 1
604.


[423]

LaTeX Warning: Reference `eigen:520:25' on page 424 undefined on input line 164
9.


LaTeX Warning: Reference `eigen:520:40' on page 424 undefined on input line 165
9.


LaTeX Warning: Reference `eigen:520:22' on page 424 undefined on input line 166
0.


LaTeX Warning: Reference `eigen:520:50' on page 424 undefined on input line 166
2.


LaTeX Warning: Reference `eigen:520:21' on page 424 undefined on input line 166
4.


LaTeX Warning: Reference `eigen:520:22' on page 424 undefined on input line 166
5.


LaTeX Warning: Reference `eigen:520:21' on page 424 undefined on input line 167
0.


LaTeX Warning: Reference `eigen:520:22' on page 424 undefined on input line 167
1.


LaTeX Warning: Reference `eigen:520:21' on page 424 undefined on input line 168
0.


LaTeX Warning: Reference `eigen:schur' on page 424 undefined on input line 1681
.


LaTeX Warning: Reference `mtxinv:465:20' on page 424 undefined on input line 16
83.


[424]

LaTeX Warning: Reference `eigen:520:57' on page 425 undefined on input line 168
7.


LaTeX Warning: Reference `eigen:eigdet' on page 425 undefined on input line 170
2.


LaTeX Warning: Reference `eigen:310' on page 425 undefined on input line 1729.


LaTeX Warning: Reference `eigen:505:50' on page 425 undefined on input line 173
7.


LaTeX Warning: Reference `eigen:schur' on page 425 undefined on input line 1739
.


LaTeX Warning: Reference `eigen:310:30' on page 425 undefined on input line 177
0.


LaTeX Warning: Reference `eigen:310:64' on page 425 undefined on input line 177
0.


[425]

LaTeX Warning: Reference `eigen:520:70' on page 426 undefined on input line 177
7.


LaTeX Warning: Reference `matrix:325:diag' on page 426 undefined on input line 
1791.


LaTeX Warning: Reference `inttx:260.20' on page 426 undefined on input line 180
3.


LaTeX Warning: Reference `eigen:520:75' on page 426 undefined on input line 181
0.


LaTeX Warning: Reference `eigen:423' on page 426 undefined on input line 1811.


LaTeX Warning: Reference `eigen:diag' on page 426 undefined on input line 1812.



LaTeX Warning: Reference `eigen:520:75' on page 426 undefined on input line 181
5.


LaTeX Warning: Reference `eigen:422' on page 426 undefined on input line 1816.


[426]

LaTeX Warning: Reference `eigen:eigdet' on page 427 undefined on input line 182
6.


LaTeX Warning: Citation `Friedberg-IS' on page 427 undefined on input line 1843
.


LaTeX Warning: Citation `Franklin' on page 427 undefined on input line 1846.


LaTeX Warning: Reference `inttx:260.50' on page 427 undefined on input line 184
8.


LaTeX Warning: Citation `Wilkinson' on page 427 undefined on input line 1854.


[427]

LaTeX Warning: Reference `mtxinv:465' on page 428 undefined on input line 1886.



LaTeX Warning: Reference `eigen:423' on page 428 undefined on input line 1887.


LaTeX Warning: Citation `Lay' on page 428 undefined on input line 1917.


LaTeX Warning: Reference `eigen:diag' on page 428 undefined on input line 1953.



LaTeX Warning: Reference `mtxinv:450' on page 428 undefined on input line 1958.



[428]

LaTeX Warning: Reference `eigen:422' on page 429 undefined on input line 1963.


LaTeX Warning: Reference `eigen:423' on page 429 undefined on input line 1965.


[429]

LaTeX Warning: Reference `eigen:422' on page 430 undefined on input line 2034.


LaTeX Warning: Reference `eigen:diag' on page 430 undefined on input line 2058.



LaTeX Warning: Reference `mtxinv:465' on page 430 undefined on input line 2063.



[430]

LaTeX Warning: Reference `eigen:550:50' on page 431 undefined on input line 208
6.


LaTeX Warning: Citation `wikip' on page 431 undefined on input line 2106.


LaTeX Warning: Reference `mtxinv:320.30' on page 431 undefined on input line 21
17.


LaTeX Warning: Reference `mtxinv:320.34' on page 431 undefined on input line 21
18.


LaTeX Warning: Reference `eigen:550' on page 431 undefined on input line 2119.


LaTeX Warning: Reference `eigen:550:30' on page 431 undefined on input line 212
0.


LaTeX Warning: Reference `eigen:422' on page 431 undefined on input line 2127.


[431]

LaTeX Warning: Reference `eigen:600:15' on page 432 undefined on input line 214
8.


LaTeX Warning: Reference `eigen:600:10' on page 432 undefined on input line 214
8.


LaTeX Warning: Reference `eigen:600:SVD' on page 432 undefined on input line 21
64.


LaTeX Warning: Reference `eigen:600:20' on page 432 undefined on input line 216
5.


LaTeX Warning: Reference `eigen:600:SVD' on page 432 undefined on input line 21
75.


LaTeX Warning: Reference `eigen:600:SVD' on page 432 undefined on input line 21
79.


LaTeX Warning: Reference `eigen:600:SVD' on page 432 undefined on input line 21
91.


[432]

LaTeX Warning: Reference `matrix' on page 433 undefined on input line 2215.


LaTeX Warning: Reference `eigen' on page 433 undefined on input line 2215.


LaTeX Warning: Reference `eigen' on page 433 undefined on input line 2233.


LaTeX Warning: Citation `Hefferon' on page 433 undefined on input line 2255.


LaTeX Warning: Reference `mtxinv:psinv' on page 433 undefined on input line 228
6.


[433])
[434] (./vector.tex
Chapter 15.

LaTeX Warning: Reference `trig:230' on page 435 undefined on input line 24.


LaTeX Warning: Reference `trig:240' on page 435 undefined on input line 24.


LaTeX Warning: Reference `trig:277' on page 435 undefined on input line 25.


LaTeX Warning: Reference `matrix' on page 435 undefined on input line 27.


LaTeX Warning: Reference `eigen' on page 435 undefined on input line 27.


LaTeX Warning: Citation `Cheng' on page 435 undefined on input line 31.


LaTeX Warning: Reference `matrix' on page 435 undefined on input line 41.


LaTeX Warning: Reference `eigen' on page 435 undefined on input line 41.


LaTeX Warning: Reference `trig:230' on page 435 undefined on input line 52.


LaTeX Warning: Reference `trig:277' on page 435 undefined on input line 54.


LaTeX Warning: Reference `vector:fig-sphere' on page 435 undefined on input lin
e 59.


LaTeX Warning: Reference `trig:277:20' on page 435 undefined on input line 59.


LaTeX Warning: Reference `trig:277:20' on page 435 undefined on input line 60.


LaTeX Warning: Reference `vector:280' on page 435 undefined on input line 61.


LaTeX Warning: Reference `vector:230:fig-spherical-basis' on page 435 undefined
 on input line 69.


LaTeX Warning: Reference `vector:230:fig-spherical-basis' on page 435 undefined
 on input line 69.


Package pst-pdf Warning: pspicture No. 46 undefined.


LaTeX Warning: Reference `vcalc' on page 435 undefined on input line 79.


[435]

LaTeX Warning: Reference `vector:210' on page 436 undefined on input line 108.


LaTeX Warning: Reference `vector:270' on page 436 undefined on input line 118.


[436]

LaTeX Warning: Reference `trig' on page 437 undefined on input line 152.


LaTeX Warning: Reference `vector:210' on page 437 undefined on input line 154.


LaTeX Warning: Reference `vector:220' on page 437 undefined on input line 154.


LaTeX Warning: Reference `trig:240:10' on page 437 undefined on input line 163.



LaTeX Warning: Citation `wikip' on page 437 undefined on input line 216.


LaTeX Warning: Citation `Jones/Fjeld' on page 437 undefined on input line 216.


LaTeX Warning: Reference `vector:fig-sphere' on page 437 undefined on input lin
e 216.


LaTeX Warning: Reference `vector:210:20' on page 437 undefined on input line 21
6.


LaTeX Warning: Reference `vector:210:40' on page 437 undefined on input line 21
6.


LaTeX Warning: Reference `trig:240:12' on page 437 undefined on input line 237.



[437]

LaTeX Warning: Citation `CERN-Alice-delta' on page 438 undefined on input line 
268.


LaTeX Warning: Reference `vector:210:20' on page 438 undefined on input line 27
0.


LaTeX Warning: Reference `vector:210:25' on page 438 undefined on input line 27
0.


LaTeX Warning: Reference `vector:210:20' on page 438 undefined on input line 27
4.


LaTeX Warning: Reference `vector:210:25' on page 438 undefined on input line 27
5.


LaTeX Warning: Reference `vector:fig-sphere' on page 438 undefined on input lin
e 282.


LaTeX Warning: Reference `vector:210:25' on page 438 undefined on input line 29
0.


LaTeX Warning: Reference `vector:210:v' on page 438 undefined on input line 291
.


LaTeX Warning: Reference `trig:277:20' on page 438 undefined on input line 329.



LaTeX Warning: Reference `vector:210:30' on page 438 undefined on input line 33
0.


LaTeX Warning: Reference `vector:210:20' on page 438 undefined on input line 33
1.


[438]

LaTeX Warning: Reference `vector:210:25' on page 439 undefined on input line 35
2.


LaTeX Warning: Reference `vector:210:v' on page 439 undefined on input line 435
.


Underfull \vbox (badness 3029) has occurred while \output is active
[439]

LaTeX Warning: Reference `mtxinv:445' on page 440 undefined on input line 458.


LaTeX Warning: Reference `mtxinv' on page 440 undefined on input line 460.


LaTeX Warning: Reference `vector:dot1' on page 440 undefined on input line 473.



LaTeX Warning: Reference `vector:210:35' on page 440 undefined on input line 48
7.


LaTeX Warning: Reference `mtxinv:445:35' on page 440 undefined on input line 48
9.


LaTeX Warning: Reference `mtxinv:445' on page 440 undefined on input line 489.


LaTeX Warning: Reference `trig:226:f1' on page 440 undefined on input line 498.



[440]

LaTeX Warning: Reference `vector:dot1' on page 441 undefined on input line 512.



LaTeX Warning: Reference `vector:220:fig-dot' on page 441 undefined on input li
ne 513.


Package pst-pdf Warning: pspicture No. 47 undefined.


LaTeX Warning: Reference `vector:220.20' on page 441 undefined on input line 55
9.


LaTeX Warning: Reference `eigen:310' on page 441 undefined on input line 584.


LaTeX Warning: Reference `vector:210:25' on page 441 undefined on input line 59
2.


LaTeX Warning: Reference `vector:210:35' on page 441 undefined on input line 59
2.


LaTeX Warning: Reference `vector:cross1' on page 441 undefined on input line 59
3.


LaTeX Warning: Reference `vector:210' on page 441 undefined on input line 596.


Underfull \vbox (badness 2080) has occurred while \output is active
[441]

LaTeX Warning: Reference `trig:228:table' on page 442 undefined on input line 6
40.


LaTeX Warning: Reference `vector:cross1' on page 442 undefined on input line 67
0.


LaTeX Warning: Reference `matrix:322' on page 442 undefined on input line 673.


LaTeX Warning: Reference `vector:cross1' on page 442 undefined on input line 68
4.


[442]

LaTeX Warning: Reference `vector:cross1' on page 443 undefined on input line 70
5.


LaTeX Warning: Reference `vector:dot1' on page 443 undefined on input line 706.



LaTeX Warning: Reference `vector:220.20' on page 443 undefined on input line 72
8.


LaTeX Warning: Reference `vector:cross1' on page 443 undefined on input line 74
4.


LaTeX Warning: Reference `trig:226:f1' on page 443 undefined on input line 745.



LaTeX Warning: Reference `vector:220:23' on page 443 undefined on input line 74
7.


LaTeX Warning: Citation `Harrington' on page 443 undefined on input line 750.


LaTeX Warning: Reference `vector:220:fig-cross' on page 443 undefined on input 
line 756.


Package pst-pdf Warning: pspicture No. 48 undefined.


[443]

LaTeX Warning: Reference `trig:230' on page 444 undefined on input line 832.


LaTeX Warning: Reference `alggeo:231' on page 444 undefined on input line 847.


LaTeX Warning: Reference `alggeo:231' on page 444 undefined on input line 849.


[444]

LaTeX Warning: Reference `matrix' on page 445 undefined on input line 902.


LaTeX Warning: Citation `PM:1964' on page 445 undefined on input line 950.


[445]

LaTeX Warning: Reference `trig:277' on page 446 undefined on input line 980.


LaTeX Warning: Reference `vector:230:fig-cylindrical-basis' on page 446 undefin
ed on input line 981.


Package pst-pdf Warning: pspicture No. 49 undefined.


Package pst-pdf Warning: pspicture No. 50 undefined.


Package pst-pdf Warning: pspicture No. 51 undefined.


Package pst-pdf Warning: pspicture No. 52 undefined.


Package pst-pdf Warning: pspicture No. 53 undefined.


Package pst-pdf Warning: pspicture No. 54 undefined.


Package pst-pdf Warning: pspicture No. 55 undefined.


LaTeX Warning: Reference `trig:277' on page 446 undefined on input line 1049.


LaTeX Warning: Reference `vector:230:fig-spherical-basis' on page 446 undefined
 on input line 1049.


LaTeX Warning: Reference `vector:fig-sphere' on page 446 undefined on input lin
e 1053.


Package pst-pdf Warning: pspicture No. 56 undefined.


LaTeX Warning: Reference `trig:277' on page 446 undefined on input line 1105.


[446]

LaTeX Warning: Reference `vector:280' on page 447 undefined on input line 1107.



LaTeX Warning: Reference `vector:230:10' on page 447 undefined on input line 11
10.


LaTeX Warning: Reference `vector:230:fn1' on page 447 undefined on input line 1
169.


[447]

LaTeX Warning: Reference `vcalc' on page 448 undefined on input line 1200.


LaTeX Warning: Reference `vector:210' on page 448 undefined on input line 1214.



LaTeX Warning: Reference `vector:220' on page 448 undefined on input line 1214.



Underfull \vbox (badness 4556) has occurred while \output is active
[448]

LaTeX Warning: Reference `vector:dot1' on page 449 undefined on input line 1274
.


LaTeX Warning: Reference `vector:cross1' on page 449 undefined on input line 12
74.


LaTeX Warning: Reference `vector:230' on page 449 undefined on input line 1289.



LaTeX Warning: Reference `vector:dotp' on page 449 undefined on input line 1305
.


LaTeX Warning: Reference `vector:crossp' on page 449 undefined on input line 13
05.


[449]

LaTeX Warning: Reference `vector:dot1' on page 450 undefined on input line 1321
.


LaTeX Warning: Reference `vector:dot' on page 450 undefined on input line 1323.



LaTeX Warning: Reference `vector:cross' on page 450 undefined on input line 132
3.


LaTeX Warning: Reference `vector:dotp' on page 450 undefined on input line 1324
.


LaTeX Warning: Reference `vector:crossp' on page 450 undefined on input line 13
25.


LaTeX Warning: Reference `vector:230' on page 450 undefined on input line 1337.



LaTeX Warning: Citation `Cheng' on page 450 undefined on input line 1380.


[450]

LaTeX Warning: Citation `Hopman' on page 451 undefined on input line 1392.


LaTeX Warning: Citation `wikip' on page 451 undefined on input line 1401.


LaTeX Warning: Reference `vector:dotp' on page 451 undefined on input line 1414
.


LaTeX Warning: Reference `vector:240:20' on page 451 undefined on input line 14
15.


LaTeX Warning: Reference `vector:crossp' on page 451 undefined on input line 14
19.


LaTeX Warning: Reference `vector:240.30' on page 451 undefined on input line 14
20.


LaTeX Warning: Reference `vector:240:32' on page 451 undefined on input line 14
22.


LaTeX Warning: Reference `vector:240.30' on page 451 undefined on input line 14
26.


[451]

LaTeX Warning: Citation `EWW-web' on page 452 undefined on input line 1432.


LaTeX Warning: Reference `alggeo:227' on page 452 undefined on input line 1434.



LaTeX Warning: Citation `physics321' on page 452 undefined on input line 1446.


LaTeX Warning: Citation `Hopman' on page 452 undefined on input line 1457.


LaTeX Warning: Reference `matrix:150' on page 452 undefined on input line 1458.



LaTeX Warning: Reference `vector:240:20' on page 452 undefined on input line 14
76.


LaTeX Warning: Reference `vector:240:22' on page 452 undefined on input line 14
77.


LaTeX Warning: Citation `planetm' on page 452 undefined on input line 1491.


Underfull \vbox (badness 2368) has occurred while \output is active
[452]

LaTeX Warning: Reference `matrix:322' on page 453 undefined on input line 1500.



LaTeX Warning: Reference `matrix' on page 453 undefined on input line 1501.


LaTeX Warning: Reference `eigen' on page 453 undefined on input line 1501.


LaTeX Warning: Reference `matrix:322' on page 453 undefined on input line 1508.



LaTeX Warning: Reference `matrix:325.10' on page 453 undefined on input line 15
08.


LaTeX Warning: Reference `eigen:310' on page 453 undefined on input line 1509.


LaTeX Warning: Reference `vector:240:tbl1' on page 453 undefined on input line 
1509.


LaTeX Warning: Reference `vector:240:32' on page 453 undefined on input line 15
15.


LaTeX Warning: Reference `integ:670:fig-d' on page 453 undefined on input line 
1531.


LaTeX Warning: Reference `matrix:150' on page 453 undefined on input line 1534.



LaTeX Warning: Reference `vector:240:20' on page 453 undefined on input line 15
36.


LaTeX Warning: Reference `vector:240:tbl1' on page 453 undefined on input line 
1542.


LaTeX Warning: Citation `physics321' on page 453 undefined on input line 1543.


LaTeX Warning: Reference `vector:240.20' on page 453 undefined on input line 15
45.


[453]

LaTeX Warning: Reference `vector:240:32' on page 454 undefined on input line 15
91.


Underfull \vbox (badness 10000) has occurred while \output is active
[454]

LaTeX Warning: Reference `vector:240:20' on page 455 undefined on input line 16
13.


LaTeX Warning: Reference `vector:240:tbl1' on page 455 undefined on input line 
1761.


Underfull \vbox (badness 10000) has occurred while \output is active
[455]
[456]

LaTeX Warning: Reference `vcalc:425' on page 457 undefined on input line 1780.


LaTeX Warning: Reference `vector:240:35' on page 457 undefined on input line 17
83.


LaTeX Warning: Reference `vector:240:36' on page 457 undefined on input line 17
90.


LaTeX Warning: Reference `vector:240:fig-proj' on page 457 undefined on input l
ine 1792.


Package pst-pdf Warning: pspicture No. 57 undefined.


LaTeX Warning: Reference `vector:tbl-algid' on page 457 undefined on input line
 1847.


LaTeX Warning: Citation `Stratton' on page 457 undefined on input line 1848.


LaTeX Warning: Citation `Harrington' on page 457 undefined on input line 1848.


LaTeX Warning: Reference `vector:220:02' on page 457 undefined on input line 18
87.


LaTeX Warning: Reference `vector:dot' on page 457 undefined on input line 1887.



LaTeX Warning: Reference `vector:cross' on page 457 undefined on input line 188
8.


LaTeX Warning: Reference `vector:240:35' on page 457 undefined on input line 18
89.


LaTeX Warning: Reference `vector:240:36' on page 457 undefined on input line 18
90.


LaTeX Warning: Reference `vector:240' on page 457 undefined on input line 1891.



[457]

LaTeX Warning: Reference `vector:tbl-algid' on page 458 undefined on input line
 1925.


LaTeX Warning: Reference `vector:tbl-algid' on page 458 undefined on input line
 1927.


LaTeX Warning: Reference `vector:280:fn1' on page 458 undefined on input line 1
947.


LaTeX Warning: Reference `vcalc' on page 458 undefined on input line 1947.


LaTeX Warning: Reference `vcalc:420:fn1' on page 458 undefined on input line 19
47.


Underfull \vbox (badness 10000) has occurred while \output is active
[458]

LaTeX Warning: Reference `vector:270:10' on page 459 undefined on input line 19
72.


LaTeX Warning: Reference `vector:270:15' on page 459 undefined on input line 19
73.


LaTeX Warning: Reference `trig:277:40' on page 459 undefined on input line 2000
.


LaTeX Warning: Reference `vector:280.10' on page 459 undefined on input line 20
13.


[459]

LaTeX Warning: Reference `vector:280.51' on page 460 undefined on input line 20
43.


LaTeX Warning: Reference `trig:230' on page 460 undefined on input line 2060.


LaTeX Warning: Reference `vector:230:10' on page 460 undefined on input line 20
60.


LaTeX Warning: Reference `vector:280.56' on page 460 undefined on input line 20
60.


LaTeX Warning: Reference `vcalc' on page 460 undefined on input line 2060.


LaTeX Warning: Reference `vcalc:420:fn1' on page 460 undefined on input line 20
60.


LaTeX Warning: Reference `vector:280.56' on page 460 undefined on input line 20
61.


LaTeX Warning: Reference `greek' on page 460 undefined on input line 2070.


LaTeX Warning: Reference `vector:280.10' on page 460 undefined on input line 20
73.


LaTeX Warning: Citation `Lebedev' on page 460 undefined on input line 2077.


LaTeX Warning: Citation `wikip' on page 460 undefined on input line 2077.


[460]

LaTeX Warning: Reference `integ:241.07' on page 461 undefined on input line 209
1.


LaTeX Warning: Reference `integ:241.08' on page 461 undefined on input line 209
1.


LaTeX Warning: Citation `Shenk' on page 461 undefined on input line 2107.


LaTeX Warning: Reference `vector:280:fig-parabola' on page 461 undefined on inp
ut line 2108.


Package pst-pdf Warning: pspicture No. 58 undefined.


[461]

LaTeX Warning: Reference `vector:280:05' on page 462 undefined on input line 21
93.


LaTeX Warning: Reference `vector:280:06' on page 462 undefined on input line 21
97.


LaTeX Warning: Reference `vector:280:fig-parabola' on page 462 undefined on inp
ut line 2251.


[462]

LaTeX Warning: Reference `vector:280.05' on page 463 undefined on input line 22
99.


LaTeX Warning: Reference `vector:280:fig2' on page 463 undefined on input line 
2300.


Package pst-pdf Warning: pspicture No. 59 undefined.


LaTeX Warning: Reference `vector:280.05' on page 463 undefined on input line 23
86.


LaTeX Warning: Reference `vector:280:fig1' on page 463 undefined on input line 
2393.


Package pst-pdf Warning: pspicture No. 60 undefined.


LaTeX Warning: Reference `vector:280.30' on page 463 undefined on input line 24
96.


LaTeX Warning: Reference `vector:280:11' on page 463 undefined on input line 25
06.


LaTeX Warning: Reference `vector:280:11' on page 463 undefined on input line 25
10.


[463]

LaTeX Warning: Reference `vector:280:12' on page 464 undefined on input line 25
18.


LaTeX Warning: Reference `vector:280:12' on page 464 undefined on input line 25
27.


LaTeX Warning: Reference `vector:280:13' on page 464 undefined on input line 25
28.


LaTeX Warning: Reference `vector:280:12' on page 464 undefined on input line 25
32.


LaTeX Warning: Reference `vector:280:19' on page 464 undefined on input line 25
32.


LaTeX Warning: Reference `vector:280:13' on page 464 undefined on input line 25
49.


LaTeX Warning: Reference `vector:280:12' on page 464 undefined on input line 25
49.


LaTeX Warning: Reference `vector:280:19' on page 464 undefined on input line 25
50.


LaTeX Warning: Reference `vector:280:21' on page 464 undefined on input line 25
58.


LaTeX Warning: Reference `vector:280:19' on page 464 undefined on input line 25
60.


LaTeX Warning: Reference `vector:280:19' on page 464 undefined on input line 25
74.


[464]

LaTeX Warning: Reference `vector:280:17' on page 465 undefined on input line 25
87.


LaTeX Warning: Reference `vector:280:21' on page 465 undefined on input line 26
03.


LaTeX Warning: Reference `vector:280:17t' on page 465 undefined on input line 2
616.


LaTeX Warning: Reference `vector:280:17u' on page 465 undefined on input line 2
616.


LaTeX Warning: Reference `vector:270:20' on page 465 undefined on input line 26
17.


LaTeX Warning: Reference `vector:270:25' on page 465 undefined on input line 26
18.


LaTeX Warning: Reference `vector:280:t30' on page 465 undefined on input line 2
621.


LaTeX Warning: Reference `vector:280.10' on page 465 undefined on input line 26
22.


[465]

LaTeX Warning: Reference `vector:280:t30' on page 466 undefined on input line 2
668.


LaTeX Warning: Reference `vector:280:fig2' on page 466 undefined on input line 
2684.


LaTeX Warning: Reference `vector:280:fig1' on page 466 undefined on input line 
2685.


LaTeX Warning: Reference `vector:280:t56' on page 466 undefined on input line 2
689.


LaTeX Warning: Reference `vector:280:t30' on page 466 undefined on input line 2
690.


[466]

LaTeX Warning: Reference `vector:280:fn1' on page 467 undefined on input line 2
739.


LaTeX Warning: Reference `vcalc' on page 467 undefined on input line 2744.

)
[467]
[468] (./vcalc.tex
Chapter 16.

LaTeX Warning: Reference `vector' on page 469 undefined on input line 6.


LaTeX Warning: Reference `vector:210' on page 469 undefined on input line 31.


LaTeX Warning: Reference `greek' on page 469 undefined on input line 31.


LaTeX Warning: Reference `vector:230' on page 469 undefined on input line 54.


LaTeX Warning: Citation `BSL' on page 469 undefined on input line 54.


[469]

LaTeX Warning: Reference `vector:220' on page 470 undefined on input line 100.


LaTeX Warning: Reference `vcalc:350' on page 470 undefined on input line 109.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 134.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `\nabla' on input line 134.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 134.


[470]

LaTeX Warning: Reference `vcalc:320.15' on page 471 undefined on input line 172
.


LaTeX Warning: Reference `vector:210:20' on page 471 undefined on input line 21
1.


LaTeX Warning: Reference `vector:210:25' on page 471 undefined on input line 21
2.


LaTeX Warning: Reference `vector:210:40' on page 471 undefined on input line 21
2.


LaTeX Warning: Reference `vector:210:45' on page 471 undefined on input line 21
2.


[471]

LaTeX Warning: Reference `vector' on page 472 undefined on input line 271.


LaTeX Warning: Reference `vector:240' on page 472 undefined on input line 271.


[472]

LaTeX Warning: Reference `vcalc:320.10' on page 473 undefined on input line 289
.


LaTeX Warning: Reference `integ:240' on page 473 undefined on input line 296.


LaTeX Warning: Citation `Brown-conversation' on page 473 undefined on input lin
e 304.


LaTeX Warning: Reference `matrix:120.10' on page 473 undefined on input line 30
9.


LaTeX Warning: Reference `integ:240.05' on page 473 undefined on input line 342
.


[473]

LaTeX Warning: Reference `alggeo:222.1' on page 474 undefined on input line 354
.


LaTeX Warning: Reference `matrix:180.35' on page 474 undefined on input line 36
4.


LaTeX Warning: Reference `matrix:000:42' on page 474 undefined on input line 36
7.


LaTeX Warning: Reference `vcalc:delp' on page 474 undefined on input line 385.


LaTeX Warning: Reference `vcalc:delp' on page 474 undefined on input line 404.


[474]

LaTeX Warning: Reference `vcalc:ddvf' on page 475 undefined on input line 425.


LaTeX Warning: Citation `vanBladel' on page 475 undefined on input line 430.


LaTeX Warning: Reference `vcalc:ddvf' on page 475 undefined on input line 431.


LaTeX Warning: Reference `vcalc:ddsf' on page 475 undefined on input line 432.


LaTeX Warning: Reference `vcalc:ddsf' on page 475 undefined on input line 442.


LaTeX Warning: Reference `vcalc:320.20' on page 475 undefined on input line 463
.


[475]

LaTeX Warning: Reference `vcalc:flux' on page 476 undefined on input line 487.


LaTeX Warning: Reference `vector:220:fig-dot' on page 476 undefined on input li
ne 502.


LaTeX Warning: Reference `vcalc:flux' on page 476 undefined on input line 503.


LaTeX Warning: Reference `vcalc:flux' on page 476 undefined on input line 518.


[476]
[477]

LaTeX Warning: Reference `vcalc:flux' on page 478 undefined on input line 622.


[478]

LaTeX Warning: Reference `vcalc:320:43' on page 479 undefined on input line 703
.


LaTeX Warning: Reference `vcalc:curl' on page 479 undefined on input line 710.


LaTeX Warning: Reference `vcalc:320:43' on page 479 undefined on input line 711
.


LaTeX Warning: Reference `vcalc:curl' on page 479 undefined on input line 713.


LaTeX Warning: Reference `vcalc:curl' on page 479 undefined on input line 715.


LaTeX Warning: Reference `vcalc:320:43' on page 479 undefined on input line 723
.


LaTeX Warning: Reference `vcalc:curl' on page 479 undefined on input line 726.


LaTeX Warning: Reference `vcalc:320:43' on page 479 undefined on input line 729
.


LaTeX Warning: Reference `vcalc:ddvf' on page 479 undefined on input line 729.


[479]

LaTeX Warning: Reference `vcalc:ddsf' on page 480 undefined on input line 755.


LaTeX Warning: Reference `vcalc:ddvf' on page 480 undefined on input line 756.


LaTeX Warning: Reference `vcalc:dcurl' on page 480 undefined on input line 757.



LaTeX Warning: Reference `vcalc:ddvf' on page 480 undefined on input line 766.


Underfull \vbox (badness 2503) has occurred while \output is active
[480]

LaTeX Warning: Reference `vector:240:tbl1' on page 481 undefined on input line 
796.


LaTeX Warning: Reference `vcalc:320.30' on page 481 undefined on input line 824
.


LaTeX Warning: Reference `vcalc:flux' on page 481 undefined on input line 828.


[481]

LaTeX Warning: Reference `vcalc:320:35' on page 482 undefined on input line 878
.


LaTeX Warning: Reference `vcalc:divthm' on page 482 undefined on input line 894
.


LaTeX Warning: Citation `Stratton' on page 482 undefined on input line 895.


LaTeX Warning: Reference `integ:antider' on page 482 undefined on input line 89
8.


LaTeX Warning: Reference `vcalc:divthm' on page 482 undefined on input line 903
.


LaTeX Warning: Reference `vcalc:divthm' on page 482 undefined on input line 917
.


LaTeX Warning: Reference `integ:670' on page 482 undefined on input line 917.


LaTeX Warning: Reference `vcalc:330.30' on page 482 undefined on input line 936
.


LaTeX Warning: Reference `vcalc:circulation' on page 482 undefined on input lin
e 942.


[482]

LaTeX Warning: Reference `vcalc:330.30' on page 483 undefined on input line 954
.


LaTeX Warning: Reference `vcalc:320:45' on page 483 undefined on input line 954
.


LaTeX Warning: Reference `vcalc:320:35' on page 483 undefined on input line 955
.


LaTeX Warning: Reference `vcalc:stokesthm' on page 483 undefined on input line 
961.


LaTeX Warning: Citation `Stratton' on page 483 undefined on input line 962.


LaTeX Warning: Reference `vcalc:divthm' on page 483 undefined on input line 968
.


LaTeX Warning: Reference `vcalc:stokesthm' on page 483 undefined on input line 
968.


LaTeX Warning: Reference `vcalc:divthm' on page 483 undefined on input line 971
.


LaTeX Warning: Reference `vcalc:stokesthm' on page 483 undefined on input line 
971.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 483 undefined on input line
 983.


LaTeX Warning: Citation `Balanis' on page 483 undefined on input line 989.


LaTeX Warning: Citation `Stratton' on page 483 undefined on input line 989.


LaTeX Warning: Citation `Harrington' on page 483 undefined on input line 989.


LaTeX Warning: Reference `vcalc:320' on page 483 undefined on input line 990.


LaTeX Warning: Reference `vcalc:330' on page 483 undefined on input line 991.


LaTeX Warning: Reference `vcalc:350' on page 483 undefined on input line 992.


LaTeX Warning: Reference `drvtv:250.30' on page 483 undefined on input line 996
.


LaTeX Warning: Reference `vector:tbl-algid' on page 483 undefined on input line
 1002.


LaTeX Warning: Reference `vector:tbl-algid' on page 483 undefined on input line
 1002.


LaTeX Warning: Reference `vector:tbl-algid' on page 483 undefined on input line
 1002.


LaTeX Warning: Reference `vector:tbl-algid' on page 483 undefined on input line
 1002.


[483]

LaTeX Warning: Reference `vector:tbl-algid' on page 484 undefined on input line
 1083.


LaTeX Warning: Reference `vcalc:320:46' on page 484 undefined on input line 111
4.


Underfull \vbox (badness 10000) has occurred while \output is active
[484]
[485]

LaTeX Warning: Reference `vcalc:350' on page 486 undefined on input line 1160.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 486 undefined on input line
 1178.


Underfull \vbox (badness 1194) has occurred while \output is active
[486]

LaTeX Warning: Reference `vcalc:tbl-diffid' on page 487 undefined on input line
 1234.


LaTeX Warning: Reference `vcalc:350:null' on page 487 undefined on input line 1
255.


LaTeX Warning: Reference `vcalc:350:30' on page 487 undefined on input line 131
6.


LaTeX Warning: Reference `vcalc:320' on page 487 undefined on input line 1317.


[487]

LaTeX Warning: Reference `drvtv:prod2' on page 488 undefined on input line 1332
.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 488 undefined on input line
 1335.


LaTeX Warning: Reference `vcalc:380:10' on page 488 undefined on input line 134
4.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 488 undefined on input line
 1344.


Underfull \vbox (badness 10000) has occurred while \output is active
[488]

LaTeX Warning: Reference `vcalc:380:10' on page 489 undefined on input line 135
4.


LaTeX Warning: Reference `vcalc:380:10' on page 489 undefined on input line 135
6.


LaTeX Warning: Reference `vcalc:380:10' on page 489 undefined on input line 135
8.


LaTeX Warning: Reference `drvtv:prod2' on page 489 undefined on input line 1361
.


LaTeX Warning: Reference `vcalc:380:10' on page 489 undefined on input line 136
2.


LaTeX Warning: Reference `vcalc:380:10' on page 489 undefined on input line 136
6.


LaTeX Warning: Reference `vcalc:380:10' on page 489 undefined on input line 137
9.


LaTeX Warning: Reference `vector:240.30' on page 489 undefined on input line 13
85.


LaTeX Warning: Reference `vcalc:380:10' on page 489 undefined on input line 139
1.


LaTeX Warning: Reference `vcalc:380:10' on page 489 undefined on input line 139
2.


[489]

LaTeX Warning: Reference `trig:277:20' on page 490 undefined on input line 1412
.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 490 undefined on input line
 1416.


LaTeX Warning: Reference `vector:240.20' on page 490 undefined on input line 14
26.


LaTeX Warning: Reference `vector:280' on page 490 undefined on input line 1437.



LaTeX Warning: Reference `vcalc:420:tbl' on page 490 undefined on input line 14
39.


LaTeX Warning: Citation `Cheng' on page 490 undefined on input line 1440.


LaTeX Warning: Reference `integ:241.10' on page 490 undefined on input line 147
7.


[490]

LaTeX Warning: Reference `trig:277:20' on page 491 undefined on input line 1483
.


LaTeX Warning: Reference `vector' on page 491 undefined on input line 1517.


LaTeX Warning: Reference `vector:280:fn1' on page 491 undefined on input line 1
517.


LaTeX Warning: Reference `vector:280' on page 491 undefined on input line 1519.



LaTeX Warning: Reference `integ:241' on page 491 undefined on input line 1543.


LaTeX Warning: Reference `vcalc:420:22' on page 491 undefined on input line 155
0.


LaTeX Warning: Reference `vcalc:420:21' on page 491 undefined on input line 155
2.


LaTeX Warning: Reference `vcalc:520' on page 491 undefined on input line 1560.


[491]

LaTeX Warning: Reference `vcalc:440' on page 492 undefined on input line 1617.


LaTeX Warning: Reference `vector:240' on page 492 undefined on input line 1630.



LaTeX Warning: Reference `vector:tbl-algid' on page 492 undefined on input line
 1635.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 492 undefined on input line
 1636.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 492 undefined on input line
 1638.


[492]

LaTeX Warning: Reference `vcalc:420' on page 493 undefined on input line 1650.


LaTeX Warning: Reference `vcalc:440.geo' on page 493 undefined on input line 16
65.


LaTeX Warning: Reference `vector:fig-sphere' on page 493 undefined on input lin
e 1678.


LaTeX Warning: Reference `vector:fig-sphere' on page 493 undefined on input lin
e 1678.


LaTeX Warning: Reference `vector:230:fig-cylindrical-basis' on page 493 undefin
ed on input line 1679.


LaTeX Warning: Reference `vector:230:fig-cylindrical-basis' on page 493 undefin
ed on input line 1679.


LaTeX Warning: Reference `vector:230:fig-spherical-basis' on page 493 undefined
 on input line 1680.


LaTeX Warning: Reference `vector:230:fig-spherical-basis' on page 493 undefined
 on input line 1680.


LaTeX Warning: Reference `vcalc:430:tbl' on page 493 undefined on input line 16
82.


LaTeX Warning: Reference `vector:280:t30' on page 493 undefined on input line 1
742.


LaTeX Warning: Reference `vector:280:t56' on page 493 undefined on input line 1
743.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 493 undefined on input line
 1765.


[493]
[494]

LaTeX Warning: Reference `vcalc:420' on page 495 undefined on input line 1769.


LaTeX Warning: Reference `vcalc:420:tbl' on page 495 undefined on input line 17
72.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 495 undefined on input line
 1781.


LaTeX Warning: Reference `vcalc:380:10' on page 495 undefined on input line 180
4.


LaTeX Warning: Reference `vcalc:430:tbl' on page 495 undefined on input line 18
06.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 495 undefined on input line
 1845.


[495]

LaTeX Warning: Reference `vcalc:420.30' on page 496 undefined on input line 186
1.


LaTeX Warning: Reference `vcalc:380:10' on page 496 undefined on input line 186
8.


LaTeX Warning: Reference `drvtv:250:35' on page 496 undefined on input line 191
0.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 496 undefined on input line
 1918.


[496]

LaTeX Warning: Reference `vcalc:440.cyl:tbl' on page 497 undefined on input lin
e 1998.


LaTeX Warning: Citation `Balanis' on page 497 undefined on input line 1998.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 497 undefined on input line
 2048.


LaTeX Warning: Reference `vcalc:440.cyl:tbl' on page 497 undefined on input lin
e 2064.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 497 undefined on input line
 2067.


[497]

LaTeX Warning: Reference `vcalc:440.cyl' on page 498 undefined on input line 20
87.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 498 undefined on input line
 2089.


Underfull \vbox (badness 10000) has occurred while \output is active
[498]

LaTeX Warning: Reference `vcalc:420:tbl' on page 499 undefined on input line 20
93.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 499 undefined on input line
 2102.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 499 undefined on input line
 2149.


LaTeX Warning: Reference `vcalc:440.cyl' on page 499 undefined on input line 21
50.


[499]

LaTeX Warning: Reference `vcalc:tbl-diffid' on page 500 undefined on input line
 2185.


LaTeX Warning: Reference `vcalc:440.cyl' on page 500 undefined on input line 21
86.


LaTeX Warning: Reference `vcalc:440.sph:tbl' on page 500 undefined on input lin
e 2260.


LaTeX Warning: Citation `Balanis' on page 500 undefined on input line 2260.


LaTeX Warning: Reference `vcalc:440.cyl' on page 500 undefined on input line 23
16.


[500]
[501]

LaTeX Warning: Reference `vcalc:440.cyl' on page 502 undefined on input line 23
24.


LaTeX Warning: Reference `vcalc:440.sph' on page 502 undefined on input line 23
24.


LaTeX Warning: Reference `vcalc:320:35' on page 502 undefined on input line 232
8.


LaTeX Warning: Reference `vcalc:320.30' on page 502 undefined on input line 233
4.


LaTeX Warning: Reference `vcalc:flux' on page 502 undefined on input line 2336.



LaTeX Warning: Reference `taylor:370' on page 502 undefined on input line 2394.



LaTeX Warning: Reference `taylor' on page 502 undefined on input line 2394.


LaTeX Warning: Reference `intro:284.2' on page 502 undefined on input line 2394
.


Underfull \vbox (badness 10000) has occurred while \output is active
[502]

LaTeX Warning: Reference `vcalc:420:21' on page 503 undefined on input line 241
7.


[503]

LaTeX Warning: Reference `vcalc:425' on page 504 undefined on input line 2478.


LaTeX Warning: Reference `vcalc:440.geo:20' on page 504 undefined on input line
 2484.


LaTeX Warning: Reference `vcalc:320:45' on page 504 undefined on input line 249
5.


LaTeX Warning: Reference `vcalc:440.geo:30' on page 504 undefined on input line
 2501.


LaTeX Warning: Reference `vcalc:circulation' on page 504 undefined on input lin
e 2506.


[504]

LaTeX Warning: Reference `vcalc:440.geo:30' on page 505 undefined on input line
 2569.


[505]

LaTeX Warning: Reference `vcalc:440.geo:37' on page 506 undefined on input line
 2647.


LaTeX Warning: Reference `vcalc:440.geo:27' on page 506 undefined on input line
 2657.


LaTeX Warning: Reference `vcalc:440.geo:37' on page 506 undefined on input line
 2658.


LaTeX Warning: Reference `vcalc:440.cyl:tbl' on page 506 undefined on input lin
e 2667.


LaTeX Warning: Reference `vcalc:440.sph:tbl' on page 506 undefined on input lin
e 2667.


LaTeX Warning: Reference `vcalc:440.geo:27' on page 506 undefined on input line
 2668.


LaTeX Warning: Reference `vcalc:440.geo:37' on page 506 undefined on input line
 2668.


LaTeX Warning: Reference `vcalc:440.geo:47' on page 506 undefined on input line
 2669.


LaTeX Warning: Reference `vector:280' on page 506 undefined on input line 2671.



Underfull \vbox (badness 5862) has occurred while \output is active
[506]

LaTeX Warning: Reference `vector' on page 507 undefined on input line 2763.


LaTeX Warning: Reference `vcalc' on page 507 undefined on input line 2763.


LaTeX Warning: Reference `matrix' on page 507 undefined on input line 2764.


LaTeX Warning: Reference `eigen' on page 507 undefined on input line 2764.


[507]

LaTeX Warning: Reference `inttx' on page 508 undefined on input line 2777.

)
[508]
[509]
[510] (./fours.tex
Chapter 17.

LaTeX Warning: Citation `JJH' on page 511 undefined on input line 16.


LaTeX Warning: Reference `taylor' on page 511 undefined on input line 33.


LaTeX Warning: Reference `fours:000:fig10' on page 511 undefined on input line 
41.


Package pst-pdf Warning: pspicture No. 61 undefined.


LaTeX Warning: Reference `fours:000:fig10' on page 511 undefined on input line 
102.


LaTeX Warning: Reference `fours:000:fig20' on page 511 undefined on input line 
103.


[511]

LaTeX Warning: Reference `fours:000:fig10' on page 512 undefined on input line 
124.


LaTeX Warning: Reference `fours:000:fig10' on page 512 undefined on input line 
124.


Package pst-pdf Warning: pspicture No. 62 undefined.


LaTeX Warning: Reference `fours:000:20' on page 512 undefined on input line 196
.


LaTeX Warning: Reference `alggeo:225:fig' on page 512 undefined on input line 2
14.


LaTeX Warning: Reference `fours:080:09' on page 512 undefined on input line 230
.


[512]

LaTeX Warning: Reference `fours:080:08' on page 513 undefined on input line 260
.


LaTeX Warning: Reference `fours:080:10' on page 513 undefined on input line 260
.


LaTeX Warning: Reference `fours:085' on page 513 undefined on input line 276.


LaTeX Warning: Reference `fours:080:10' on page 513 undefined on input line 281
.


LaTeX Warning: Reference `fours:080:15' on page 513 undefined on input line 282
.


LaTeX Warning: Reference `alggeo:228:45' on page 513 undefined on input line 28
5.


LaTeX Warning: Reference `fours:080:10' on page 513 undefined on input line 288
.


LaTeX Warning: Reference `fours:080:15' on page 513 undefined on input line 289
.


LaTeX Warning: Reference `fours:080:15' on page 513 undefined on input line 291
.


LaTeX Warning: Reference `fours:080:10' on page 513 undefined on input line 295
.


LaTeX Warning: Reference `fours:080:15' on page 513 undefined on input line 295
.


LaTeX Warning: Reference `fours:080:10' on page 513 undefined on input line 298
.


LaTeX Warning: Reference `fours:080:15' on page 513 undefined on input line 298
.


LaTeX Warning: Reference `fouri:110:parseval' on page 513 undefined on input li
ne 315.


LaTeX Warning: Reference `inttx:260.20' on page 513 undefined on input line 318
.


LaTeX Warning: Reference `fouri:110.55' on page 513 undefined on input line 320
.


[513]
[514]

LaTeX Warning: Reference `fours:085:10' on page 515 undefined on input line 500
.


[515]

LaTeX Warning: Reference `lapl:360' on page 516 undefined on input line 552.


[516]

LaTeX Warning: Reference `fours:080' on page 517 undefined on input line 593.


LaTeX Warning: Reference `integ:670' on page 517 undefined on input line 624.


LaTeX Warning: Reference `integ:670:fig-d' on page 517 undefined on input line 
624.


Underfull \vbox (badness 2285) has occurred while \output is active
[517]

LaTeX Warning: Reference `fours:095:fig1' on page 518 undefined on input line 6
47.


Package pst-pdf Warning: pspicture No. 63 undefined.


[518]

LaTeX Warning: Reference `lapl:123' on page 519 undefined on input line 826.


LaTeX Warning: Reference `fours:095:40' on page 519 undefined on input line 869
.


LaTeX Warning: Reference `fours:095.10' on page 519 undefined on input line 870
.


LaTeX Warning: Reference `fours:095:10' on page 519 undefined on input line 872
.


LaTeX Warning: Reference `fours:095:fig1' on page 519 undefined on input line 8
73.


LaTeX Warning: Reference `fours:095:10' on page 519 undefined on input line 874
.


LaTeX Warning: Reference `fours:095:fig1' on page 519 undefined on input line 8
75.


LaTeX Warning: Reference `fours:095:42' on page 519 undefined on input line 876
.


LaTeX Warning: Reference `fours:095:43' on page 519 undefined on input line 877
.


[519]

LaTeX Warning: Reference `fours:095:fig5' on page 520 undefined on input line 9
17.


Package pst-pdf Warning: pspicture No. 64 undefined.


Package pst-pdf Warning: pspicture No. 65 undefined.


Package pst-pdf Warning: pspicture No. 66 undefined.


LaTeX Warning: Citation `Couch' on page 520 undefined on input line 1016.


LaTeX Warning: Reference `fours:095:fig2' on page 520 undefined on input line 1
035.


Package pst-pdf Warning: pspicture No. 67 undefined.


LaTeX Warning: Reference `fours:095:20' on page 520 undefined on input line 110
3.


LaTeX Warning: Reference `fours:095:41' on page 520 undefined on input line 110
3.


LaTeX Warning: Reference `fours:095:42' on page 520 undefined on input line 110
5.


[520]

LaTeX Warning: Reference `taylor:320' on page 521 undefined on input line 1127.



LaTeX Warning: Reference `fours:095:fig8' on page 521 undefined on input line 1
136.


LaTeX Warning: Reference `fouri:130' on page 521 undefined on input line 1137.


LaTeX Warning: Reference `prob' on page 521 undefined on input line 1140.


Package pst-pdf Warning: pspicture No. 68 undefined.


LaTeX Warning: Reference `fouri:130:60' on page 521 undefined on input line 120
0.


LaTeX Warning: Reference `fours:000:11' on page 521 undefined on input line 122
0.


LaTeX Warning: Reference `cexp:250:cos' on page 521 undefined on input line 122
3.


Underfull \vbox (badness 1577) has occurred while \output is active
[521]

LaTeX Warning: Reference `fours:080:08' on page 522 undefined on input line 122
9.


LaTeX Warning: Reference `fours:100:10' on page 522 undefined on input line 123
2.


LaTeX Warning: Reference `fours:100.80' on page 522 undefined on input line 123
3.


LaTeX Warning: Reference `fours:170' on page 522 undefined on input line 1234.


LaTeX Warning: Reference `fours:100:15' on page 522 undefined on input line 125
2.


LaTeX Warning: Reference `fours:100:10' on page 522 undefined on input line 125
7.


LaTeX Warning: Reference `fours:100:10' on page 522 undefined on input line 126
0.


LaTeX Warning: Reference `fours:100:10' on page 522 undefined on input line 126
2.


LaTeX Warning: Reference `fours:100:10' on page 522 undefined on input line 126
5.


LaTeX Warning: Reference `fours:080:10' on page 522 undefined on input line 127
1.


LaTeX Warning: Reference `fours:100:15' on page 522 undefined on input line 127
5.


LaTeX Warning: Reference `fours:100:15' on page 522 undefined on input line 127
5.


LaTeX Warning: Reference `fours:100:15' on page 522 undefined on input line 127
7.


LaTeX Warning: Reference `fours:100:15' on page 522 undefined on input line 128
0.


LaTeX Warning: Reference `fours:100:10' on page 522 undefined on input line 128
2.


LaTeX Warning: Reference `fours:100:15' on page 522 undefined on input line 128
3.


[522]

LaTeX Warning: Reference `fours:080:10' on page 523 undefined on input line 130
7.


LaTeX Warning: Reference `fours:100:15' on page 523 undefined on input line 130
8.


LaTeX Warning: Reference `fours:100:15' on page 523 undefined on input line 131
4.


LaTeX Warning: Reference `fours:100:10' on page 523 undefined on input line 131
7.


LaTeX Warning: Reference `fours:100:15' on page 523 undefined on input line 131
9.


LaTeX Warning: Reference `fours:100:15' on page 523 undefined on input line 132
6.


LaTeX Warning: Reference `fours:100:15' on page 523 undefined on input line 135
8.


LaTeX Warning: Reference `fours:100:10' on page 523 undefined on input line 136
0.


[523]

LaTeX Warning: Reference `integ:240.10' on page 524 undefined on input line 136
8.


LaTeX Warning: Reference `integ:240.20' on page 524 undefined on input line 136
8.


LaTeX Warning: Reference `conclu:convergence' on page 524 undefined on input li
ne 1369.


LaTeX Warning: Reference `fours:100:15' on page 524 undefined on input line 137
8.


LaTeX Warning: Reference `fours:000:fig10' on page 524 undefined on input line 
1379.


[524]

LaTeX Warning: Reference `fours:100:10' on page 525 undefined on input line 143
1.


LaTeX Warning: Reference `cexp:250:cos' on page 525 undefined on input line 143
1.


LaTeX Warning: Reference `fours:000:20' on page 525 undefined on input line 143
2.


LaTeX Warning: Reference `fours:000:fig20' on page 525 undefined on input line 
1433.


LaTeX Warning: Reference `fours:100.20' on page 525 undefined on input line 144
4.


LaTeX Warning: Reference `fours:000:20' on page 525 undefined on input line 144
5.


LaTeX Warning: Reference `fours:100.20' on page 525 undefined on input line 144
7.


LaTeX Warning: Reference `fours:100:fig3' on page 525 undefined on input line 1
456.


LaTeX Warning: Reference `fours:095:10' on page 525 undefined on input line 146
0.


LaTeX Warning: Reference `fours:000:fig10' on page 525 undefined on input line 
1462.


Package pst-pdf Warning: pspicture No. 69 undefined.


LaTeX Warning: Reference `fours:100.20' on page 525 undefined on input line 153
2.


[525]

LaTeX Warning: Reference `fours:160:05' on page 526 undefined on input line 156
2.


LaTeX Warning: Reference `taylor:315:60' on page 526 undefined on input line 15
70.


LaTeX Warning: Reference `fours:100:30' on page 526 undefined on input line 157
1.


LaTeX Warning: Reference `fours:085' on page 526 undefined on input line 1595.


LaTeX Warning: Reference `fours:100:fig3' on page 526 undefined on input line 1
595.


LaTeX Warning: Reference `integ:670:fig-d' on page 526 undefined on input line 
1597.


LaTeX Warning: Reference `fours:100:fig4' on page 526 undefined on input line 1
599.


Package pst-pdf Warning: pspicture No. 70 undefined.


LaTeX Warning: Reference `fours:100:36' on page 526 undefined on input line 164
9.


LaTeX Warning: Reference `fours:100:35' on page 526 undefined on input line 164
9.


[526]

LaTeX Warning: Reference `fouri:120:tbl20' on page 527 undefined on input line 
1665.


LaTeX Warning: Reference `fouri:120:tbl25' on page 527 undefined on input line 
1665.


LaTeX Warning: Reference `lapl:140:22' on page 527 undefined on input line 1667
.


LaTeX Warning: Reference `lapl:140.20' on page 527 undefined on input line 1667
.


LaTeX Warning: Reference `integ:240.05' on page 527 undefined on input line 167
8.


LaTeX Warning: Reference `fours:000:fig20' on page 527 undefined on input line 
1697.


LaTeX Warning: Reference `fours:100:15' on page 527 undefined on input line 172
9.


[527]

LaTeX Warning: Reference `fours:095:10' on page 528 undefined on input line 174
5.


LaTeX Warning: Reference `fours:080:15' on page 528 undefined on input line 178
8.


LaTeX Warning: Reference `matrix:180:IMC' on page 528 undefined on input line 1
801.


LaTeX Warning: Reference `mtxinv:220:20' on page 528 undefined on input line 18
02.


[528]

LaTeX Warning: Reference `eigen:370' on page 529 undefined on input line 1806.


LaTeX Warning: Reference `fouri:110.55' on page 529 undefined on input line 182
4.


LaTeX Warning: Reference `fouri:110:parseval2' on page 529 undefined on input l
ine 1824.


LaTeX Warning: Reference `fouri:110:parseval2a' on page 529 undefined on input 
line 1824.


LaTeX Warning: Citation `Tikoo' on page 529 undefined on input line 1824.


LaTeX Warning: Reference `fouri' on page 529 undefined on input line 1834.


LaTeX Warning: Reference `taylor' on page 529 undefined on input line 1845.


LaTeX Warning: Reference `taylor:310:fn1' on page 529 undefined on input line 1
845.


LaTeX Warning: Reference `fours:000:fig10' on page 529 undefined on input line 
1855.


LaTeX Warning: Reference `fours:000:fig20' on page 529 undefined on input line 
1855.


LaTeX Warning: Reference `fours:095.50' on page 529 undefined on input line 186
1.


LaTeX Warning: Citation `Robinson' on page 529 undefined on input line 1878.


LaTeX Warning: Citation `HFDavis' on page 529 undefined on input line 1878.


LaTeX Warning: Reference `fours:170' on page 529 undefined on input line 1881.


[529]

LaTeX Warning: Reference `fours:100:10' on page 530 undefined on input line 189
3.


LaTeX Warning: Reference `fours:100:15' on page 530 undefined on input line 189
4.


LaTeX Warning: Reference `cexp:euler' on page 530 undefined on input line 1897.



LaTeX Warning: Reference `fours:100:10' on page 530 undefined on input line 189
7.


LaTeX Warning: Reference `fours:100:15' on page 530 undefined on input line 190
5.


LaTeX Warning: Reference `fours:100:15' on page 530 undefined on input line 193
4.


LaTeX Warning: Reference `fours:100:15' on page 530 undefined on input line 194
0.


LaTeX Warning: Reference `fours:100:91' on page 530 undefined on input line 194
4.


LaTeX Warning: Reference `fours:100:93' on page 530 undefined on input line 194
4.


[530]

LaTeX Warning: Reference `fours:100' on page 531 undefined on input line 1962.


LaTeX Warning: Reference `fours:080' on page 531 undefined on input line 1963.


LaTeX Warning: Reference `fours:080' on page 531 undefined on input line 2001.


[531]

LaTeX Warning: Reference `fours:140:10' on page 532 undefined on input line 203
4.


LaTeX Warning: Reference `fours:140:15' on page 532 undefined on input line 203
5.


LaTeX Warning: Reference `fours:140:17' on page 532 undefined on input line 203
5.


LaTeX Warning: Citation `HFDavis' on page 532 undefined on input line 2036.


LaTeX Warning: Reference `fouri:110:57' on page 532 undefined on input line 204
2.


LaTeX Warning: Reference `fouri:110.55' on page 532 undefined on input line 204
3.


LaTeX Warning: Citation `Young-lecture' on page 532 undefined on input line 205
6.


LaTeX Warning: Reference `fours:140:fig-ramp' on page 532 undefined on input li
ne 2061.


Package pst-pdf Warning: pspicture No. 71 undefined.


LaTeX Warning: Reference `fours:140.60' on page 532 undefined on input line 212
9.


LaTeX Warning: Reference `fours:100' on page 532 undefined on input line 2130.


LaTeX Warning: Reference `inttx:470:tbl' on page 532 undefined on input line 21
42.


LaTeX Warning: Reference `fours:140:55' on page 532 undefined on input line 217
2.


LaTeX Warning: Reference `fours:140:15' on page 532 undefined on input line 217
2.


LaTeX Warning: Reference `fours:140:50' on page 532 undefined on input line 217
3.


LaTeX Warning: Reference `fours:140:fig-ramp' on page 532 undefined on input li
ne 2174.


[532]

LaTeX Warning: Reference `fours:140:fig-ramp' on page 533 undefined on input li
ne 2180.


LaTeX Warning: Reference `integ:basic-antider' on page 533 undefined on input l
ine 2181.


LaTeX Warning: Citation `wikip' on page 533 undefined on input line 2195.


LaTeX Warning: Reference `fours:140:60' on page 533 undefined on input line 219
8.


LaTeX Warning: Reference `fours:140:60' on page 533 undefined on input line 220
5.


LaTeX Warning: Reference `fours:140:60' on page 533 undefined on input line 220
9.


LaTeX Warning: Reference `fours:140:60' on page 533 undefined on input line 221
0.


LaTeX Warning: Reference `fours:140:60' on page 533 undefined on input line 221
3.


LaTeX Warning: Reference `taylor:355:15' on page 533 undefined on input line 22
15.


LaTeX Warning: Reference `taylor:355:15' on page 533 undefined on input line 22
17.


LaTeX Warning: Reference `fours:140:60' on page 533 undefined on input line 221
8.


[533]

LaTeX Warning: Reference `fours:100:20' on page 534 undefined on input line 224
7.


LaTeX Warning: Reference `fours:000:fig10' on page 534 undefined on input line 
2248.


LaTeX Warning: Reference `fours:140:60' on page 534 undefined on input line 226
2.


LaTeX Warning: Reference `fours:140:65' on page 534 undefined on input line 226
3.


LaTeX Warning: Reference `fouri:140:tbl' on page 534 undefined on input line 22
67.


LaTeX Warning: Reference `taylor:316.70' on page 534 undefined on input line 22
92.


LaTeX Warning: Reference `taylor:316.25' on page 534 undefined on input line 22
94.


LaTeX Warning: Reference `taylor:316:fig-maj' on page 534 undefined on input li
ne 2294.


LaTeX Warning: Reference `fours:100:30' on page 534 undefined on input line 230
5.


LaTeX Warning: Reference `fours:100:fig3' on page 534 undefined on input line 2
306.


LaTeX Warning: Reference `fours:100:30' on page 534 undefined on input line 230
7.


[534]

LaTeX Warning: Citation `Phillips/Parr' on page 535 undefined on input line 233
0.


LaTeX Warning: Citation `Couch' on page 535 undefined on input line 2330.


LaTeX Warning: Citation `Octave' on page 535 undefined on input line 2330.


LaTeX Warning: Reference `fours:160:fig' on page 535 undefined on input line 23
31.


Package pst-pdf Warning: pspicture No. 72 undefined.


LaTeX Warning: Reference `taylor:315:tbl' on page 535 undefined on input line 2
388.


LaTeX Warning: Reference `fours:170' on page 535 undefined on input line 2400.


LaTeX Warning: Reference `fours:160:10' on page 535 undefined on input line 241
5.


LaTeX Warning: Reference `drvtv:proddiv' on page 535 undefined on input line 24
16.


LaTeX Warning: Reference `fours:160:20' on page 535 undefined on input line 242
1.


LaTeX Warning: Reference `fours:160:figi' on page 535 undefined on input line 2
428.


LaTeX Warning: Citation `Lebedev' on page 535 undefined on input line 2431.


Package pst-pdf Warning: pspicture No. 73 undefined.


[535]

LaTeX Warning: Reference `fours:160:10' on page 536 undefined on input line 255
7.


LaTeX Warning: Reference `trig:226:f1' on page 536 undefined on input line 2563
.


LaTeX Warning: Reference `taylor:315:60' on page 536 undefined on input line 25
64.


LaTeX Warning: Reference `fours:160:20' on page 536 undefined on input line 256
4.


[536]

LaTeX Warning: Reference `fours:160:fig' on page 537 undefined on input line 25
69.


LaTeX Warning: Reference `fours:160:30' on page 537 undefined on input line 257
2.


LaTeX Warning: Reference `cexp:drv' on page 537 undefined on input line 2582.


LaTeX Warning: Reference `fours:160:fig3' on page 537 undefined on input line 2
588.


Package pst-pdf Warning: pspicture No. 74 undefined.


LaTeX Warning: Reference `fours:160:35' on page 537 undefined on input line 264
9.


[537]

LaTeX Warning: Reference `taylor:316.25' on page 538 undefined on input line 26
88.


[538]

LaTeX Warning: Reference `fours:160:41' on page 539 undefined on input line 273
9.


LaTeX Warning: Reference `fours:160:41' on page 539 undefined on input line 277
1.


LaTeX Warning: Reference `fours:160:35' on page 539 undefined on input line 277
3.


LaTeX Warning: Reference `cexp:250:sin' on page 539 undefined on input line 277
8.


LaTeX Warning: Reference `inttx:250' on page 539 undefined on input line 2789.


LaTeX Warning: Reference `fours:160:fig-contour' on page 539 undefined on input
 line 2798.


Package pst-pdf Warning: pspicture No. 75 undefined.


LaTeX Warning: Reference `inttx:250:triangle' on page 539 undefined on input li
ne 2870.


[539]
[540]

LaTeX Warning: Reference `inttx:reversal:20' on page 541 undefined on input lin
e 2946.


LaTeX Warning: Reference `inttx:reversal:30' on page 541 undefined on input lin
e 2947.


LaTeX Warning: Reference `fours:170' on page 541 undefined on input line 2979.


LaTeX Warning: Reference `fours:100.80' on page 541 undefined on input line 299
1.


LaTeX Warning: Reference `fours:000:fig20' on page 541 undefined on input line 
2994.


[541]

LaTeX Warning: Reference `integ:670:fig-d' on page 542 undefined on input line 
3003.


LaTeX Warning: Reference `fours:095:fig1' on page 542 undefined on input line 3
004.


LaTeX Warning: Reference `fours:095:30' on page 542 undefined on input line 300
5.


LaTeX Warning: Reference `fours:095' on page 542 undefined on input line 3007.


LaTeX Warning: Reference `fours:095.50' on page 542 undefined on input line 300
8.


LaTeX Warning: Citation `JJH' on page 542 undefined on input line 3020.


LaTeX Warning: Citation `Khamsi' on page 542 undefined on input line 3025.


LaTeX Warning: Citation `Wilbraham:1848' on page 542 undefined on input line 30
35.


LaTeX Warning: Citation `Gibbs:1899' on page 542 undefined on input line 3035.


LaTeX Warning: Reference `fours:000:fig20' on page 542 undefined on input line 
3037.


LaTeX Warning: Reference `fours:000:fig20' on page 542 undefined on input line 
3037.


LaTeX Warning: Reference `fours:000:20' on page 542 undefined on input line 304
8.


[542]

LaTeX Warning: Reference `fours:160:41' on page 543 undefined on input line 308
8.


LaTeX Warning: Reference `fours:170:20' on page 543 undefined on input line 308
9.


LaTeX Warning: Reference `fours:160:figi' on page 543 undefined on input line 3
096.


LaTeX Warning: Reference `fours:160.33' on page 543 undefined on input line 310
6.


LaTeX Warning: Reference `fours:160:35' on page 543 undefined on input line 311
1.


LaTeX Warning: Citation `OEIS' on page 543 undefined on input line 3111.


LaTeX Warning: Reference `fours:170:fig10' on page 543 undefined on input line 
3131.


Package pst-pdf Warning: pspicture No. 76 undefined.


[543]

LaTeX Warning: Reference `fours:095.50' on page 544 undefined on input line 318
6.


LaTeX Warning: Reference `prob:100:40' on page 544 undefined on input line 3196
.

)
[544] (./fouri.tex
Chapter 18.

LaTeX Warning: Reference `fours' on page 545 undefined on input line 10.


LaTeX Warning: Reference `fouri:100:fig' on page 545 undefined on input line 41
.


Package pst-pdf Warning: pspicture No. 77 undefined.


LaTeX Warning: Reference `fours:095:10' on page 545 undefined on input line 102
.


LaTeX Warning: Reference `fours:095' on page 545 undefined on input line 102.


LaTeX Warning: Reference `fours:100:15' on page 545 undefined on input line 104
.


LaTeX Warning: Reference `fours:100:10' on page 545 undefined on input line 106
.


[545]

LaTeX Warning: Reference `fours:080:08' on page 546 undefined on input line 136
.


LaTeX Warning: Reference `fouri:eqn' on page 546 undefined on input line 173.


LaTeX Warning: Reference `fouri:eqn' on page 546 undefined on input line 176.


LaTeX Warning: Reference `fouri:xform' on page 546 undefined on input line 191.



LaTeX Warning: Reference `fouri:xform' on page 546 undefined on input line 192.



LaTeX Warning: Reference `fouri:eqn' on page 546 undefined on input line 192.


[546]

LaTeX Warning: Reference `fouri:xform' on page 547 undefined on input line 208.



LaTeX Warning: Reference `fouri:invxform' on page 547 undefined on input line 2
10.


LaTeX Warning: Reference `fouri:xform' on page 547 undefined on input line 212.



LaTeX Warning: Reference `fouri:invxform' on page 547 undefined on input line 2
14.


LaTeX Warning: Reference `fouri:xform' on page 547 undefined on input line 215.



LaTeX Warning: Reference `fours:100:10' on page 547 undefined on input line 216
.


LaTeX Warning: Reference `fours:100:15' on page 547 undefined on input line 216
.


LaTeX Warning: Citation `Phillips/Parr' on page 547 undefined on input line 228
.


LaTeX Warning: Citation `Couch' on page 547 undefined on input line 228.


LaTeX Warning: Reference `lapl:360' on page 547 undefined on input line 228.


LaTeX Warning: Citation `Feynman' on page 547 undefined on input line 228.


LaTeX Warning: Reference `fouri:100:figt' on page 547 undefined on input line 2
30.


LaTeX Warning: Reference `fouri:100:fig' on page 547 undefined on input line 23
1.


LaTeX Warning: Reference `fouri:100:fig' on page 547 undefined on input line 23
3.


Package pst-pdf Warning: pspicture No. 78 undefined.


LaTeX Warning: Reference `fours:085' on page 547 undefined on input line 310.


[547]

LaTeX Warning: Reference `fouri:byu' on page 548 undefined on input line 343.


LaTeX Warning: Reference `fouri:xform' on page 548 undefined on input line 361.



LaTeX Warning: Reference `fouri:invxform' on page 548 undefined on input line 3
62.


Underfull \hbox (badness 1365) in paragraph at lines 360--368
\OT1/cmr/m/n/10.95 which are just ([]) and ([]) to-gether with their dummy vari
-ables

LaTeX Warning: Reference `fours:095:10' on page 548 undefined on input line 389
.


LaTeX Warning: Reference `fouri:byu' on page 548 undefined on input line 390.


LaTeX Warning: Reference `inttx:470:tbl' on page 548 undefined on input line 40
5.


[548]

LaTeX Warning: Reference `fours:160:10' on page 549 undefined on input line 420
.


LaTeX Warning: Reference `fouri:100:44' on page 549 undefined on input line 435
.


LaTeX Warning: Reference `fouri:100:45' on page 549 undefined on input line 435
.


LaTeX Warning: Reference `fouri:100:45' on page 549 undefined on input line 435
.


LaTeX Warning: Reference `fouri:110' on page 549 undefined on input line 441.


LaTeX Warning: Reference `fours:095:50' on page 549 undefined on input line 453
.


Underfull \vbox (badness 10000) has occurred while \output is active
[549]

LaTeX Warning: Reference `fouri:100:46' on page 550 undefined on input line 705
.


LaTeX Warning: Reference `fouri:100:44' on page 550 undefined on input line 705
.


LaTeX Warning: Reference `fouri:100:45' on page 550 undefined on input line 705
.


LaTeX Warning: Reference `trig:275:table' on page 550 undefined on input line 7
05.


LaTeX Warning: Reference `fouri:100.90' on page 550 undefined on input line 715
.


LaTeX Warning: Reference `trig:275:table' on page 550 undefined on input line 7
42.


[550]

LaTeX Warning: Reference `fouri:100:45' on page 551 undefined on input line 753
.


LaTeX Warning: Reference `fouri:100:46' on page 551 undefined on input line 753
.


LaTeX Warning: Reference `drvtv:260:lhopital' on page 551 undefined on input li
ne 773.


LaTeX Warning: Reference `fours:160:30' on page 551 undefined on input line 774
.


LaTeX Warning: Reference `fours:095' on page 551 undefined on input line 810.


LaTeX Warning: Reference `fouri:100.40' on page 551 undefined on input line 811
.


LaTeX Warning: Reference `fouri:120:tbl20' on page 551 undefined on input line 
812.


LaTeX Warning: Reference `fours:095.10' on page 551 undefined on input line 821
.


LaTeX Warning: Reference `fours:095:fig1' on page 551 undefined on input line 8
21.


LaTeX Warning: Reference `fours:095.50' on page 551 undefined on input line 824
.


LaTeX Warning: Reference `fours:095:fig5' on page 551 undefined on input line 8
24.


LaTeX Warning: Reference `lapl:123' on page 551 undefined on input line 839.


[551]

LaTeX Warning: Reference `fouri:100:90' on page 552 undefined on input line 843
.


LaTeX Warning: Reference `fouri:100:91' on page 552 undefined on input line 853
.


LaTeX Warning: Reference `fouri:100:90' on page 552 undefined on input line 862
.


LaTeX Warning: Reference `fouri:100:91' on page 552 undefined on input line 863
.


LaTeX Warning: Reference `fouri:110:tbl20' on page 552 undefined on input line 
870.


LaTeX Warning: Reference `fouri:110' on page 552 undefined on input line 870.


LaTeX Warning: Reference `fouri:100:figt' on page 552 undefined on input line 8
87.


LaTeX Warning: Reference `fouri:100:figt' on page 552 undefined on input line 8
87.


[552]

LaTeX Warning: Reference `fouri:byu' on page 553 undefined on input line 900.


LaTeX Warning: Reference `fouri:110:18a' on page 553 undefined on input line 93
8.


LaTeX Warning: Reference `fours' on page 553 undefined on input line 938.


LaTeX Warning: Reference `fours:100:10' on page 553 undefined on input line 938
.


LaTeX Warning: Reference `fours:100:15' on page 553 undefined on input line 938
.


LaTeX Warning: Reference `fouri:xform' on page 553 undefined on input line 938.



LaTeX Warning: Reference `fouri:byu' on page 553 undefined on input line 938.


LaTeX Warning: Reference `alggeo:225.2' on page 553 undefined on input line 938
.


LaTeX Warning: Reference `alggeo:225:conj2' on page 553 undefined on input line
 938.


LaTeX Warning: Reference `fouri:110:18a' on page 553 undefined on input line 93
8.


LaTeX Warning: Reference `fouri:100:fig' on page 553 undefined on input line 93
8.


LaTeX Warning: Reference `fouri:100:figt' on page 553 undefined on input line 9
38.


LaTeX Warning: Reference `alggeo:225:25' on page 553 undefined on input line 94
7.


LaTeX Warning: Reference `fouri:110:18a' on page 553 undefined on input line 95
5.


LaTeX Warning: Reference `fouri:110:tbl20' on page 553 undefined on input line 
963.


[553]

LaTeX Warning: Reference `fours:100.80' on page 554 undefined on input line 983
.


LaTeX Warning: Reference `fouri:110:19b' on page 554 undefined on input line 98
8.


LaTeX Warning: Reference `fouri:100:figt' on page 554 undefined on input line 9
91.


LaTeX Warning: Reference `fouri:byu' on page 554 undefined on input line 999.


LaTeX Warning: Reference `fouri:byu' on page 554 undefined on input line 1008.


LaTeX Warning: Reference `fouri:100:30' on page 554 undefined on input line 102
0.


LaTeX Warning: Reference `fouri:110:10' on page 554 undefined on input line 102
1.


LaTeX Warning: Reference `fouri:110:10' on page 554 undefined on input line 103
1.


LaTeX Warning: Reference `fouri:110:12' on page 554 undefined on input line 103
1.


LaTeX Warning: Reference `fouri:100.40' on page 554 undefined on input line 103
9.


[554]

LaTeX Warning: Reference `fouri:110:10' on page 555 undefined on input line 104
8.


LaTeX Warning: Reference `fouri:120:tbl20' on page 555 undefined on input line 
1052.


LaTeX Warning: Reference `fouri:110:10' on page 555 undefined on input line 106
2.


LaTeX Warning: Reference `fouri:byu' on page 555 undefined on input line 1063.


LaTeX Warning: Reference `fouri:110:15' on page 555 undefined on input line 106
4.


LaTeX Warning: Reference `fouri:120' on page 555 undefined on input line 1066.


LaTeX Warning: Reference `fouri:110:15' on page 555 undefined on input line 106
7.


LaTeX Warning: Reference `fouri:120' on page 555 undefined on input line 1080.


LaTeX Warning: Reference `fouri:byu' on page 555 undefined on input line 1084.


LaTeX Warning: Reference `integ:670:20' on page 555 undefined on input line 108
4.


LaTeX Warning: Reference `integ:670:sift' on page 555 undefined on input line 1
085.


LaTeX Warning: Reference `fouri:110:12' on page 555 undefined on input line 108
9.


LaTeX Warning: Reference `fouri:110:22' on page 555 undefined on input line 109
7.


LaTeX Warning: Reference `fouri:byu' on page 555 undefined on input line 1099.


Underfull \hbox (badness 10000) in paragraph at lines 1096--1109
\OT1/cmr/m/n/10.95 ac-cord-ing to eqn. [] we would have found the pair $1 []

[555]

LaTeX Warning: Reference `fouri:byu' on page 556 undefined on input line 1118.


LaTeX Warning: Reference `fouri:byu' on page 556 undefined on input line 1123.


LaTeX Warning: Reference `fouri:110.10' on page 556 undefined on input line 113
6.


LaTeX Warning: Reference `fouri:100.10' on page 556 undefined on input line 115
1.


LaTeX Warning: Reference `fouri:110:12' on page 556 undefined on input line 115
9.


LaTeX Warning: Reference `fouri:110:12' on page 556 undefined on input line 119
3.


[556]

LaTeX Warning: Reference `fouri:110:25' on page 557 undefined on input line 119
9.


LaTeX Warning: Reference `fouri:110:27f' on page 557 undefined on input line 12
29.


LaTeX Warning: Reference `fouri:110:27g' on page 557 undefined on input line 12
29.


LaTeX Warning: Reference `fouri:110:26' on page 557 undefined on input line 124
8.


LaTeX Warning: Reference `fouri:110:27f' on page 557 undefined on input line 12
55.


LaTeX Warning: Reference `fouri:110:27g' on page 557 undefined on input line 12
55.


[557]

LaTeX Warning: Reference `fouri:110:27f' on page 558 undefined on input line 12
90.


LaTeX Warning: Reference `fouri:110:27g' on page 558 undefined on input line 12
90.


LaTeX Warning: Reference `fouri:110:43' on page 558 undefined on input line 129
5.


LaTeX Warning: Reference `fouri:110:10' on page 558 undefined on input line 129
7.


LaTeX Warning: Reference `fouri:110:tbl20' on page 558 undefined on input line 
1310.


LaTeX Warning: Reference `fouri:byu' on page 558 undefined on input line 1361.


LaTeX Warning: Reference `fouri:byu' on page 558 undefined on input line 1364.


LaTeX Warning: Reference `inttx:reversal' on page 558 undefined on input line 1
364.


LaTeX Warning: Reference `inttx:reversal:70' on page 558 undefined on input lin
e 1365.


LaTeX Warning: Reference `fouri:byu' on page 558 undefined on input line 1374.


LaTeX Warning: Reference `fouri:110.27' on page 558 undefined on input line 138
9.


LaTeX Warning: Reference `fouri:110.27' on page 558 undefined on input line 140
7.


LaTeX Warning: Reference `fouri:110.40' on page 558 undefined on input line 140
7.


[558]
[559]

LaTeX Warning: Reference `drvtv:defz' on page 560 undefined on input line 1413.



LaTeX Warning: Reference `fouri:125:10' on page 560 undefined on input line 142
0.


LaTeX Warning: Reference `fouri:125' on page 560 undefined on input line 1421.


LaTeX Warning: Reference `fouri:110:parseval' on page 560 undefined on input li
ne 1423.


LaTeX Warning: Reference `fouri:110:parseval2' on page 560 undefined on input l
ine 1424.


LaTeX Warning: Reference `lapl:140:22' on page 560 undefined on input line 1424
.


LaTeX Warning: Reference `fouri:110.55' on page 560 undefined on input line 142
5.


LaTeX Warning: Reference `lapl:140.20' on page 560 undefined on input line 1425
.


LaTeX Warning: Citation `Hsu:sig' on page 560 undefined on input line 1467.


LaTeX Warning: Reference `fouri:110:40' on page 560 undefined on input line 147
0.


LaTeX Warning: Reference `fouri:byu' on page 560 undefined on input line 1472.


LaTeX Warning: Reference `fours:100.10' on page 560 undefined on input line 147
5.


[560]

LaTeX Warning: Reference `fouri:110:42' on page 561 undefined on input line 156
7.


LaTeX Warning: Reference `fouri:110.27' on page 561 undefined on input line 156
7.


[561]

LaTeX Warning: Reference `fouri:110:27f' on page 562 undefined on input line 15
89.


LaTeX Warning: Reference `fouri:110:27g' on page 562 undefined on input line 15
89.


LaTeX Warning: Reference `fouri:110:42' on page 562 undefined on input line 160
6.


LaTeX Warning: Reference `fouri:110:42' on page 562 undefined on input line 161
8.


LaTeX Warning: Reference `fouri:110:43' on page 562 undefined on input line 161
8.


LaTeX Warning: Reference `fouri:110:40' on page 562 undefined on input line 162
6.


LaTeX Warning: Reference `fouri:110:12' on page 562 undefined on input line 163
3.


[562]

LaTeX Warning: Reference `fouri:110:18a' on page 563 undefined on input line 18
19.


LaTeX Warning: Reference `fouri:110:42' on page 563 undefined on input line 183
8.


LaTeX Warning: Reference `fouri:110:43' on page 563 undefined on input line 183
9.


LaTeX Warning: Reference `fouri:110:48' on page 563 undefined on input line 185
7.


LaTeX Warning: Reference `fouri:110:49' on page 563 undefined on input line 185
7.


LaTeX Warning: Citation `HFDavis' on page 563 undefined on input line 1866.


LaTeX Warning: Reference `fouri:110.15' on page 563 undefined on input line 186
8.


LaTeX Warning: Reference `fouri:110:40' on page 563 undefined on input line 187
2.


LaTeX Warning: Reference `fouri:110:45' on page 563 undefined on input line 187
3.


LaTeX Warning: Citation `EWW-web' on page 563 undefined on input line 1885.


LaTeX Warning: Reference `fouri:110:48' on page 563 undefined on input line 188
9.


LaTeX Warning: Reference `fouri:110:45a' on page 563 undefined on input line 18
90.


LaTeX Warning: Reference `fouri:110:49' on page 563 undefined on input line 189
1.


LaTeX Warning: Citation `JJH' on page 563 undefined on input line 1895.


[563]

LaTeX Warning: Citation `Hsu:comm' on page 564 undefined on input line 1922.


LaTeX Warning: Reference `fouri:110:50' on page 564 undefined on input line 193
1.


Underfull \hbox (badness 4132) in paragraph at lines 1929--1940
\OT1/cmr/m/n/10.95 by Fourier trans-for-ma-tion as $\OML/cmm/m/it/10.95 f\OT1/c
mr/m/n/10.95 (\OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 ^^C
 \OT1/cmr/m/n/10.95 [\OML/cmm/m/it/10.95 g\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.
95 v\OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 ^^C \OML/cmm/m/it/10.95 h\OT1/cmr/
m/n/10.95 (\OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 )] [] ( [])\OML/cmm/m/it/10.
95 F\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 )

LaTeX Warning: Reference `fouri:110:54' on page 564 undefined on input line 195
0.


LaTeX Warning: Reference `fouri:110:48' on page 564 undefined on input line 195
1.


LaTeX Warning: Reference `fouri:110:57' on page 564 undefined on input line 195
7.


LaTeX Warning: Citation `Hsu:comm' on page 564 undefined on input line 1958.


LaTeX Warning: Reference `fouri:110:57' on page 564 undefined on input line 195
9.


LaTeX Warning: Reference `fouri:110:57' on page 564 undefined on input line 196
4.


[564]

LaTeX Warning: Reference `fouri:110:tbl40' on page 565 undefined on input line 
1968.


LaTeX Warning: Reference `fouri:110:tbl41' on page 565 undefined on input line 
1968.


LaTeX Warning: Reference `lapl:140' on page 565 undefined on input line 2087.


LaTeX Warning: Reference `fouri:byu' on page 565 undefined on input line 2118.


LaTeX Warning: Citation `Couch' on page 565 undefined on input line 2127.


LaTeX Warning: Citation `Hsu:comm' on page 565 undefined on input line 2127.


LaTeX Warning: Reference `fours:080' on page 565 undefined on input line 2128.


LaTeX Warning: Reference `fours:140.10' on page 565 undefined on input line 212
9.


[565]
[566]
[567]

LaTeX Warning: Reference `fours:085' on page 568 undefined on input line 2162.


LaTeX Warning: Reference `fouri:110:parseval2' on page 568 undefined on input l
ine 2163.


LaTeX Warning: Citation `Couch' on page 568 undefined on input line 2174.


LaTeX Warning: Reference `fouri:byu' on page 568 undefined on input line 2192.


LaTeX Warning: Reference `taylor:365' on page 568 undefined on input line 2210.



LaTeX Warning: Reference `fouri:100.40' on page 568 undefined on input line 222
2.


LaTeX Warning: Reference `fouri:110.20' on page 568 undefined on input line 222
2.


[568]

LaTeX Warning: Reference `fouri:110:15' on page 569 undefined on input line 222
9.


LaTeX Warning: Reference `fouri:110:33' on page 569 undefined on input line 223
3.


LaTeX Warning: Reference `fouri:110:tbl20' on page 569 undefined on input line 
2234.


LaTeX Warning: Reference `fouri:110:15' on page 569 undefined on input line 224
0.


LaTeX Warning: Reference `fouri:120:tbl20' on page 569 undefined on input line 
2243.


LaTeX Warning: Reference `fouri:120:tbl25' on page 569 undefined on input line 
2243.


LaTeX Warning: Reference `fours:160:fig' on page 569 undefined on input line 22
51.


LaTeX Warning: Reference `fouri:110:tbl20' on page 569 undefined on input line 
2257.


LaTeX Warning: Reference `fouri:120:tbl25' on page 569 undefined on input line 
2263.


LaTeX Warning: Reference `fouri:120:tbl25' on page 569 undefined on input line 
2331.


LaTeX Warning: Reference `fouri:130' on page 569 undefined on input line 2332.


LaTeX Warning: Reference `fouri:byu' on page 569 undefined on input line 2345.


LaTeX Warning: Reference `integ:670:10' on page 569 undefined on input line 234
7.


LaTeX Warning: Reference `fouri:120:21' on page 569 undefined on input line 236
6.


[569]
[570]

LaTeX Warning: Reference `fouri:120:21' on page 571 undefined on input line 237
3.


LaTeX Warning: Reference `fouri:110.65' on page 571 undefined on input line 237
4.


LaTeX Warning: Reference `integ:670:fig-u' on page 571 undefined on input line 
2376.


LaTeX Warning: Reference `fouri:110:22' on page 571 undefined on input line 237
8.


LaTeX Warning: Reference `fouri:byu' on page 571 undefined on input line 2393.


LaTeX Warning: Reference `inttx:470:tbl' on page 571 undefined on input line 23
99.


LaTeX Warning: Citation `Phillips/Parr' on page 571 undefined on input line 240
8.


[571]

LaTeX Warning: Reference `fouri:110:22' on page 572 undefined on input line 242
9.


LaTeX Warning: Reference `fouri:110:tbl20' on page 572 undefined on input line 
2430.


LaTeX Warning: Reference `cexp:tbl-prop' on page 572 undefined on input line 24
31.


LaTeX Warning: Reference `fours:100:fig4' on page 572 undefined on input line 2
455.


LaTeX Warning: Reference `fours:100:37' on page 572 undefined on input line 245
7.


LaTeX Warning: Reference `fours:100:10' on page 572 undefined on input line 245
7.


LaTeX Warning: Reference `fouri:120:26' on page 572 undefined on input line 246
2.


LaTeX Warning: Reference `fouri:120:25' on page 572 undefined on input line 247
1.


[572]

LaTeX Warning: Reference `fouri:120:tbl20' on page 573 undefined on input line 
2479.


LaTeX Warning: Reference `fouri:120:tbl25' on page 573 undefined on input line 
2479.


LaTeX Warning: Reference `fouri:130' on page 573 undefined on input line 2480.


LaTeX Warning: Reference `drvtv' on page 573 undefined on input line 2491.


LaTeX Warning: Reference `cexp' on page 573 undefined on input line 2491.


LaTeX Warning: Reference `fouri:120.35' on page 573 undefined on input line 250
8.


LaTeX Warning: Reference `prob' on page 573 undefined on input line 2521.


LaTeX Warning: Reference `prob:normdist' on page 573 undefined on input line 25
27.


LaTeX Warning: Reference `prob:normdist-fig' on page 573 undefined on input lin
e 2531.


LaTeX Warning: Reference `fours:095:fig8' on page 573 undefined on input line 2
532.


LaTeX Warning: Reference `prob:normdist-fig' on page 573 undefined on input lin
e 2533.


LaTeX Warning: Reference `fours:095:fig8' on page 573 undefined on input line 2
533.


LaTeX Warning: Reference `fouri:120' on page 573 undefined on input line 2535.


LaTeX Warning: Citation `Hsu:sig' on page 573 undefined on input line 2539.


LaTeX Warning: Reference `fouri:byu' on page 573 undefined on input line 2540.


[573]

LaTeX Warning: Reference `alggeo:240' on page 574 undefined on input line 2547.



LaTeX Warning: Citation `Davis-Westin-conversation' on page 574 undefined on in
put line 2548.


LaTeX Warning: Reference `inttx:250' on page 574 undefined on input line 2570.


LaTeX Warning: Reference `taylor:330' on page 574 undefined on input line 2573.



LaTeX Warning: Reference `inttx' on page 574 undefined on input line 2596.


LaTeX Warning: Reference `inttx:450' on page 574 undefined on input line 2603.


[574]

LaTeX Warning: Citation `Feynman' on page 575 undefined on input line 2628.


LaTeX Warning: Reference `inttx:210' on page 575 undefined on input line 2675.


[575]

LaTeX Warning: Reference `fouri:130:25' on page 576 undefined on input line 269
6.


LaTeX Warning: Reference `fouri:130:20' on page 576 undefined on input line 269
6.


LaTeX Warning: Reference `fouri:130:10' on page 576 undefined on input line 270
2.


LaTeX Warning: Reference `fouri:130:10' on page 576 undefined on input line 271
7.


LaTeX Warning: Reference `fouri:130:25' on page 576 undefined on input line 271
8.


LaTeX Warning: Reference `fours:095' on page 576 undefined on input line 2723.


LaTeX Warning: Reference `fours:095:33' on page 576 undefined on input line 272
3.


LaTeX Warning: Reference `fouri' on page 576 undefined on input line 2747.


LaTeX Warning: Reference `prob' on page 576 undefined on input line 2750.


LaTeX Warning: Reference `fouri:110:tbl20' on page 576 undefined on input line 
2761.


LaTeX Warning: Reference `fouri:110:tbl20' on page 576 undefined on input line 
2761.


[576]

LaTeX Warning: Reference `fouri:110' on page 577 undefined on input line 2769.


LaTeX Warning: Citation `Hsu:sig' on page 577 undefined on input line 2771.


LaTeX Warning: Reference `fouri:110.40' on page 577 undefined on input line 278
1.


LaTeX Warning: Reference `fouri:110:40a' on page 577 undefined on input line 27
83.


LaTeX Warning: Reference `fouri:110:40' on page 577 undefined on input line 278
3.


LaTeX Warning: Reference `fouri:110:tbl40' on page 577 undefined on input line 
2791.


LaTeX Warning: Reference `fouri:110:tbl40' on page 577 undefined on input line 
2796.


LaTeX Warning: Reference `fouri:120:tbl20' on page 577 undefined on input line 
2809.


LaTeX Warning: Reference `fouri:125:10' on page 577 undefined on input line 281
8.

)
[577]
[578] (./lapl.tex
Chapter 19.

LaTeX Warning: Reference `fouri:110.40' on page 579 undefined on input line 30.



LaTeX Warning: Reference `fouri:110:50' on page 579 undefined on input line 30.



LaTeX Warning: Reference `fouri:convolbal' on page 579 undefined on input line 
43.


LaTeX Warning: Reference `fouri:convolunbal' on page 579 undefined on input lin
e 44.


LaTeX Warning: Reference `fouri:110:51' on page 579 undefined on input line 52.



[579]

LaTeX Warning: Citation `Webster1913' on page 580 undefined on input line 86.


LaTeX Warning: Reference `fours:000:fig20' on page 580 undefined on input line 
89.


LaTeX Warning: Citation `JamesPeterson-lecture' on page 580 undefined on input 
line 99.


LaTeX Warning: Reference `fouri:convolunbal' on page 580 undefined on input lin
e 113.


LaTeX Warning: Reference `integ:670:sift' on page 580 undefined on input line 1
13.


LaTeX Warning: Reference `lapl:140:fig10' on page 580 undefined on input line 1
23.


Package pst-pdf Warning: pspicture No. 79 undefined.


LaTeX Warning: Reference `lapl:140:20' on page 580 undefined on input line 214.



[580]

LaTeX Warning: Reference `integ:670' on page 581 undefined on input line 221.


LaTeX Warning: Reference `lapl:140:20' on page 581 undefined on input line 222.



LaTeX Warning: Reference `lapl:140:fig10' on page 581 undefined on input line 2
22.


LaTeX Warning: Reference `fouri:byu2' on page 581 undefined on input line 255.


LaTeX Warning: Reference `fours:100:15' on page 581 undefined on input line 256
.


LaTeX Warning: Reference `fours:080:08' on page 581 undefined on input line 261
.


LaTeX Warning: Reference `lapl:140:22' on page 581 undefined on input line 264.



LaTeX Warning: Reference `fouri:convolunbal' on page 581 undefined on input lin
e 273.


LaTeX Warning: Reference `integ:670:sift' on page 581 undefined on input line 2
73.


LaTeX Warning: Reference `lapl:140:23' on page 581 undefined on input line 280.



LaTeX Warning: Reference `lapl:140:22' on page 581 undefined on input line 282.



LaTeX Warning: Reference `fours:100:15' on page 581 undefined on input line 284
.


LaTeX Warning: Citation `GAWalls' on page 581 undefined on input line 286.


[581]

LaTeX Warning: Reference `fours:095' on page 582 undefined on input line 313.


LaTeX Warning: Reference `fouri:110:tbl20' on page 582 undefined on input line 
314.


LaTeX Warning: Reference `fouri:110:tbl41' on page 582 undefined on input line 
315.


LaTeX Warning: Reference `fouri:120:tbl20' on page 582 undefined on input line 
316.


LaTeX Warning: Reference `fouri:110:33' on page 582 undefined on input line 317
.


Overfull \hbox (2.7074pt too wide) in paragraph at lines 312--321
\OT1/cmr/m/n/10.95 bles [] and []. Find-ing in Ta-ble [] the trans-form pair $^
^E(\OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 ) [] [](\OML/cmm/m/it/10.95 v=\OT1/c
mr/m/n/10.95 2)\OML/cmm/m/it/10.95 =[]$\OT1/cmr/m/n/10.95 ,

LaTeX Warning: Reference `lapl:140:23' on page 582 undefined on input line 365.



LaTeX Warning: Reference `lapl:140:23t' on page 582 undefined on input line 371
.


[582]

LaTeX Warning: Reference `lapl:140:22' on page 583 undefined on input line 436.



LaTeX Warning: Reference `fouri:100.90' on page 583 undefined on input line 445
.


LaTeX Warning: Reference `lapl:123:fig20' on page 583 undefined on input line 4
61.


Package pst-pdf Warning: pspicture No. 80 undefined.


[583]

LaTeX Warning: Reference `fouri:byu' on page 584 undefined on input line 556.


LaTeX Warning: Reference `lapl:123:fig20' on page 584 undefined on input line 5
73.


LaTeX Warning: Reference `lapl:123:fig30' on page 584 undefined on input line 5
74.


Package pst-pdf Warning: pspicture No. 81 undefined.


[584]

LaTeX Warning: Reference `lapl:123:25' on page 585 undefined on input line 623.



LaTeX Warning: Reference `lapl:123:25' on page 585 undefined on input line 624.



LaTeX Warning: Reference `lapl:123.20' on page 585 undefined on input line 644.



LaTeX Warning: Reference `lapl:123:26' on page 585 undefined on input line 645.



LaTeX Warning: Reference `lapl:123.20' on page 585 undefined on input line 647.



LaTeX Warning: Reference `lapl:123:25' on page 585 undefined on input line 656.



LaTeX Warning: Reference `lapl:123:33' on page 585 undefined on input line 662.



Underfull \vbox (badness 10000) has occurred while \output is active
[585]

LaTeX Warning: Reference `cexp:230' on page 586 undefined on input line 682.


LaTeX Warning: Reference `inttx:260' on page 586 undefined on input line 683.


LaTeX Warning: Reference `inttx:460' on page 586 undefined on input line 683.


LaTeX Warning: Reference `lapl:123.60' on page 586 undefined on input line 695.



LaTeX Warning: Reference `lapl:123.20' on page 586 undefined on input line 707.



LaTeX Warning: Reference `lapl:123:fig20' on page 586 undefined on input line 7
07.


LaTeX Warning: Reference `lapl:123:fig40' on page 586 undefined on input line 7
11.


Package pst-pdf Warning: pspicture No. 82 undefined.


Underfull \vbox (badness 3872) has occurred while \output is active
[586]

LaTeX Warning: Reference `fouri:120.30' on page 587 undefined on input line 832
.


LaTeX Warning: Reference `fouri:120:22' on page 587 undefined on input line 833
.


LaTeX Warning: Reference `fouri:110:22' on page 587 undefined on input line 836
.


LaTeX Warning: Reference `lapl:123:fig50' on page 587 undefined on input line 8
43.


Package pst-pdf Warning: pspicture No. 83 undefined.


LaTeX Warning: Reference `lapl:123.40' on page 587 undefined on input line 898.



LaTeX Warning: Reference `lapl:123.50' on page 587 undefined on input line 898.



LaTeX Warning: Reference `fouri' on page 587 undefined on input line 900.


LaTeX Warning: Reference `lapl' on page 587 undefined on input line 900.


LaTeX Warning: Reference `lapl:123.40' on page 587 undefined on input line 902.



LaTeX Warning: Reference `lapl:123.50' on page 587 undefined on input line 902.



LaTeX Warning: Reference `lapl:123.30' on page 587 undefined on input line 903.



LaTeX Warning: Reference `lapl:123:fig30' on page 587 undefined on input line 9
05.


LaTeX Warning: Reference `lapl:123.40' on page 587 undefined on input line 908.



LaTeX Warning: Reference `lapl:123.50' on page 587 undefined on input line 909.



[587]

LaTeX Warning: Reference `lapl:123:fig55' on page 588 undefined on input line 9
31.


Package pst-pdf Warning: pspicture No. 84 undefined.


LaTeX Warning: Reference `fouri:100.90' on page 588 undefined on input line 995
.


LaTeX Warning: Reference `fours:095' on page 588 undefined on input line 996.


LaTeX Warning: Reference `fouri:100.90' on page 588 undefined on input line 997
.


LaTeX Warning: Reference `lapl:123:fig30' on page 588 undefined on input line 1
004.


LaTeX Warning: Reference `lapl:123:fig50' on page 588 undefined on input line 1
005.


LaTeX Warning: Reference `lapl:123:fig55' on page 588 undefined on input line 1
005.


LaTeX Warning: Reference `lapl:123:tbl90' on page 588 undefined on input line 1
021.


[588]

LaTeX Warning: Reference `fours:095' on page 589 undefined on input line 1097.


LaTeX Warning: Reference `fouri:100:fig' on page 589 undefined on input line 12
57.


LaTeX Warning: Reference `fouri:100:fig' on page 589 undefined on input line 12
59.


LaTeX Warning: Reference `fours:095:fig1' on page 589 undefined on input line 1
260.


LaTeX Warning: Reference `fours:095:fig1' on page 589 undefined on input line 1
260.


LaTeX Warning: Reference `fouri:110' on page 589 undefined on input line 1263.


LaTeX Warning: Reference `fouri:120' on page 589 undefined on input line 1263.


[589]

LaTeX Warning: Citation `Hsu:sig' on page 590 undefined on input line 1277.


LaTeX Warning: Reference `fouri:laplace' on page 590 undefined on input line 12
87.


LaTeX Warning: Citation `Hsu:sig' on page 590 undefined on input line 1291.


LaTeX Warning: Citation `Phillips/Parr' on page 590 undefined on input line 129
1.


LaTeX Warning: Citation `JJH' on page 590 undefined on input line 1291.


LaTeX Warning: Reference `fouri:laplace' on page 590 undefined on input line 13
14.


LaTeX Warning: Reference `fouri:laplace-pairs' on page 590 undefined on input l
ine 1318.


LaTeX Warning: Reference `fouri:laplace-properties' on page 590 undefined on in
put line 1320.


LaTeX Warning: Reference `inttx:230' on page 590 undefined on input line 1334.


[590]

LaTeX Warning: Reference `fouri:laplace' on page 591 undefined on input line 13
47.


LaTeX Warning: Reference `fouri:110.40' on page 591 undefined on input line 135
6.


LaTeX Warning: Reference `fouri:110.40' on page 591 undefined on input line 136
8.


LaTeX Warning: Reference `integ:670:11' on page 591 undefined on input line 138
1.


LaTeX Warning: Reference `cexp:tbl-prop' on page 591 undefined on input line 14
39.


LaTeX Warning: Reference `fouri:laplace' on page 591 undefined on input line 14
42.


LaTeX Warning: Reference `fouri:laplace-pairs' on page 591 undefined on input l
ine 1444.


LaTeX Warning: Reference `fouri:laplace-properties' on page 591 undefined on in
put line 1453.


LaTeX Warning: Reference `fouri:laplace-pairs' on page 591 undefined on input l
ine 1454.


LaTeX Warning: Reference `fouri:byu2' on page 591 undefined on input line 1477.



LaTeX Warning: Citation `Phillips/Parr' on page 591 undefined on input line 148
5.


LaTeX Warning: Reference `fouri:eqn' on page 591 undefined on input line 1485.


Underfull \hbox (badness 2173) in paragraph at lines 1485--1485
[][][]\OT1/cmr/m/n/9 Actually, for-mally, Laplace does sup-port an in-verse tra
ns-for-ma-tion for-mula,

[591]
[592]

LaTeX Warning: Reference `fouri:laplace-properties' on page 593 undefined on in
put line 1489.


LaTeX Warning: Reference `fouri:110:tbl20' on page 593 undefined on input line 
1492.


Underfull \hbox (badness 1077) in paragraph at lines 1488--1494
[]\OT1/cmr/m/n/10.95 Laplace ex-cels Fourier how-ever in its prop-erty of Ta-bl
e [] that

LaTeX Warning: Citation `JJH' on page 593 undefined on input line 1499.


LaTeX Warning: Citation `Phillips/Parr' on page 593 undefined on input line 151
6.


Underfull \vbox (badness 10000) has occurred while \output is active
[593]

LaTeX Warning: Reference `fouri:laplace-properties' on page 594 undefined on in
put line 1522.


LaTeX Warning: Reference `fouri:laplace-pairs' on page 594 undefined on input l
ine 1523.


[594]

LaTeX Warning: Reference `inttx:260' on page 595 undefined on input line 1566.


LaTeX Warning: Reference `fouri:laplace-pairs' on page 595 undefined on input l
ine 1573.


LaTeX Warning: Reference `lapl:250' on page 595 undefined on input line 1592.


[595]

LaTeX Warning: Reference `fouri:laplace-properties' on page 596 undefined on in
put line 1629.


LaTeX Warning: Reference `lapl:260:10' on page 596 undefined on input line 1630
.


LaTeX Warning: Reference `lapl:260:10' on page 596 undefined on input line 1642
.


LaTeX Warning: Citation `Phillips/Parr' on page 596 undefined on input line 164
3.


[596]

LaTeX Warning: Reference `fouri:byu2' on page 597 undefined on input line 1710.



LaTeX Warning: Reference `fouri:spatial' on page 597 undefined on input line 17
20.


LaTeX Warning: Citation `Couch' on page 597 undefined on input line 1757.


LaTeX Warning: Reference `fouri:110' on page 597 undefined on input line 1760.


Underfull \vbox (badness 10000) has occurred while \output is active
[597]

LaTeX Warning: Reference `fouri:byu2' on page 598 undefined on input line 1771.



LaTeX Warning: Reference `lapl:360.10' on page 598 undefined on input line 1771
.


LaTeX Warning: Reference `lapl:360.20' on page 598 undefined on input line 1772
.


LaTeX Warning: Reference `fouri:byu2' on page 598 undefined on input line 1774.



LaTeX Warning: Reference `fouri:120:tbl20' on page 598 undefined on input line 
1778.


LaTeX Warning: Reference `lapl:360.10' on page 598 undefined on input line 1781
.


LaTeX Warning: Reference `lapl:360.20' on page 598 undefined on input line 1786
.


LaTeX Warning: Reference `lapl:360.30' on page 598 undefined on input line 1786
.


LaTeX Warning: Reference `fouri:byu2' on page 598 undefined on input line 1787.



LaTeX Warning: Reference `fouri:110:tbl41' on page 598 undefined on input line 
1804.


Underfull \vbox (badness 4660) has occurred while \output is active
[598]

LaTeX Warning: Reference `lapl:360:tbl10' on page 599 undefined on input line 1
845.


LaTeX Warning: Reference `lapl:360:tbl20' on page 599 undefined on input line 1
899.


LaTeX Warning: Reference `lapl:360:tbl10' on page 599 undefined on input line 1
955.


LaTeX Warning: Reference `fouri:125' on page 599 undefined on input line 1956.


LaTeX Warning: Reference `lapl:360:tbl20' on page 599 undefined on input line 1
957.


LaTeX Warning: Reference `integ:670:23' on page 599 undefined on input line 195
8.


LaTeX Warning: Reference `cexp' on page 599 undefined on input line 1965.


LaTeX Warning: Reference `vcalc' on page 599 undefined on input line 1965.

)
[599]
[600]
[601] (./prob.tex
[602]
Chapter 20.

LaTeX Warning: Reference `prob:070' on page 603 undefined on input line 22.


LaTeX Warning: Reference `prob:200' on page 603 undefined on input line 22.


LaTeX Warning: Citation `CDC' on page 603 undefined on input line 42.


[603]

LaTeX Warning: Reference `drvtv:220' on page 604 undefined on input line 94.


[604]

LaTeX Warning: Citation `Hamming' on page 605 undefined on input line 126.


LaTeX Warning: Citation `Walpole/Myers' on page 605 undefined on input line 175
.


LaTeX Warning: Citation `Alder/Roessler' on page 605 undefined on input line 17
5.


LaTeX Warning: Citation `Lindgren' on page 605 undefined on input line 175.


LaTeX Warning: Citation `Rosenkrantz' on page 605 undefined on input line 175.


[605]

LaTeX Warning: Reference `drvtv:NR' on page 606 undefined on input line 206.


LaTeX Warning: Reference `fouri:110:tbl41' on page 606 undefined on input line 
227.


[606]

LaTeX Warning: Reference `prob:050:10' on page 607 undefined on input line 268.



LaTeX Warning: Reference `prob:050:40' on page 607 undefined on input line 269.



LaTeX Warning: Reference `prob:stat' on page 607 undefined on input line 294.


LaTeX Warning: Reference `prob:stat' on page 607 undefined on input line 310.


LaTeX Warning: Reference `alggeo:225.3' on page 607 undefined on input line 315
.


LaTeX Warning: Reference `taylor:320' on page 607 undefined on input line 316.


LaTeX Warning: Reference `prob:stat' on page 607 undefined on input line 318.


LaTeX Warning: Reference `mtxinv:320' on page 607 undefined on input line 319.


LaTeX Warning: Reference `prob:stat' on page 607 undefined on input line 320.


[607]

LaTeX Warning: Reference `prob:050:40' on page 608 undefined on input line 330.



LaTeX Warning: Reference `prob:stat' on page 608 undefined on input line 331.


LaTeX Warning: Reference `prob:050:40' on page 608 undefined on input line 365.



LaTeX Warning: Reference `prob:stat' on page 608 undefined on input line 366.


LaTeX Warning: Reference `prob:070:20' on page 608 undefined on input line 376.



[608]

LaTeX Warning: Reference `prob:stat' on page 609 undefined on input line 410.


LaTeX Warning: Reference `prob:050:10' on page 609 undefined on input line 410.



LaTeX Warning: Reference `prob:stat' on page 609 undefined on input line 426.


LaTeX Warning: Reference `prob:050:10' on page 609 undefined on input line 426.



LaTeX Warning: Reference `prob:070:20' on page 609 undefined on input line 432.



LaTeX Warning: Reference `prob:070:30' on page 609 undefined on input line 433.



[609]

LaTeX Warning: Reference `alggeo:250:30' on page 610 undefined on input line 45
9.


LaTeX Warning: Reference `prob:080:10' on page 610 undefined on input line 494.



LaTeX Warning: Reference `prob:080:11' on page 610 undefined on input line 494.



LaTeX Warning: Reference `prob:080:11' on page 610 undefined on input line 499.



LaTeX Warning: Reference `prob:stat' on page 610 undefined on input line 499.


[610]

LaTeX Warning: Reference `prob:080:50' on page 611 undefined on input line 512.



LaTeX Warning: Reference `prob:074' on page 611 undefined on input line 525.


LaTeX Warning: Reference `prob:080' on page 611 undefined on input line 525.


LaTeX Warning: Reference `prob:080:50' on page 611 undefined on input line 541.



LaTeX Warning: Reference `prob:070:30' on page 611 undefined on input line 549.



LaTeX Warning: Reference `fours:095' on page 611 undefined on input line 554.


LaTeX Warning: Reference `fouri:130' on page 611 undefined on input line 554.


[611]

LaTeX Warning: Reference `prob:050:10' on page 612 undefined on input line 568.



LaTeX Warning: Reference `fouri:130:60' on page 612 undefined on input line 575
.


LaTeX Warning: Reference `prob:050:10' on page 612 undefined on input line 579.



LaTeX Warning: Reference `inttx:230' on page 612 undefined on input line 605.


LaTeX Warning: Reference `fouri:130:60' on page 612 undefined on input line 608
.


LaTeX Warning: Reference `prob:050:40' on page 612 undefined on input line 616.



[612]

LaTeX Warning: Reference `fouri' on page 613 undefined on input line 627.


LaTeX Warning: Reference `fouri:110:tbl20' on page 613 undefined on input line 
628.


LaTeX Warning: Reference `fouri:110:tbl41' on page 613 undefined on input line 
628.


LaTeX Warning: Reference `fouri:120:tbl25' on page 613 undefined on input line 
629.


LaTeX Warning: Reference `prob:normdist' on page 613 undefined on input line 62
9.


LaTeX Warning: Reference `prob:100:20' on page 613 undefined on input line 664.



LaTeX Warning: Reference `fouri' on page 613 undefined on input line 678.


LaTeX Warning: Reference `prob:normdist-fig' on page 613 undefined on input lin
e 689.


LaTeX Warning: Reference `prob:CDF' on page 613 undefined on input line 691.


Package pst-pdf Warning: pspicture No. 85 undefined.


[613]

LaTeX Warning: Reference `inttx:450' on page 614 undefined on input line 774.


LaTeX Warning: Reference `prob:750' on page 614 undefined on input line 790.


LaTeX Warning: Reference `prob:300' on page 614 undefined on input line 796.


LaTeX Warning: Reference `prob:normdist' on page 614 undefined on input line 80
4.


LaTeX Warning: Reference `prob:normdist' on page 614 undefined on input line 81
0.


LaTeX Warning: Reference `prob:100.10' on page 614 undefined on input line 814.



[614]

LaTeX Warning: Reference `drvtv:220' on page 615 undefined on input line 851.


LaTeX Warning: Reference `prob:normdist' on page 615 undefined on input line 87
6.


[615]

LaTeX Warning: Reference `prob:200.20' on page 616 undefined on input line 921.



LaTeX Warning: Reference `prob:stat' on page 616 undefined on input line 922.


LaTeX Warning: Reference `prob:200:mean' on page 616 undefined on input line 92
4.


LaTeX Warning: Reference `prob:200.30' on page 616 undefined on input line 928.



LaTeX Warning: Reference `prob:200:mean' on page 616 undefined on input line 93
5.


[616]

LaTeX Warning: Reference `prob:200.30' on page 617 undefined on input line 967.



LaTeX Warning: Reference `prob:stat' on page 617 undefined on input line 980.


LaTeX Warning: Reference `prob:070:30' on page 617 undefined on input line 986.



[617]

LaTeX Warning: Reference `prob:200.30' on page 618 undefined on input line 1004
.


LaTeX Warning: Reference `prob:200.25' on page 618 undefined on input line 1010
.


LaTeX Warning: Reference `prob:stat' on page 618 undefined on input line 1019.


LaTeX Warning: Reference `prob:200.25' on page 618 undefined on input line 1055
.


[618]

LaTeX Warning: Reference `prob:200.25' on page 619 undefined on input line 1063
.


LaTeX Warning: Reference `prob:200:stdev' on page 619 undefined on input line 1
091.


LaTeX Warning: Reference `prob:200:mean' on page 619 undefined on input line 11
07.


LaTeX Warning: Reference `prob:200:stdev' on page 619 undefined on input line 1
107.


LaTeX Warning: Citation `Walpole/Myers' on page 619 undefined on input line 113
2.


LaTeX Warning: Citation `Alder/Roessler' on page 619 undefined on input line 11
32.


[619]

LaTeX Warning: Reference `mtxinv:320:fig1' on page 620 undefined on input line 
1148.


LaTeX Warning: Reference `prob:070:60' on page 620 undefined on input line 1152
.


LaTeX Warning: Reference `prob:070:60' on page 620 undefined on input line 1172
.


LaTeX Warning: Reference `prob:200.30' on page 620 undefined on input line 1182
.


[620]

LaTeX Warning: Reference `prob:050:10' on page 621 undefined on input line 1186
.


LaTeX Warning: Citation `Bulmer' on page 621 undefined on input line 1195.


LaTeX Warning: Citation `Walpole/Myers' on page 621 undefined on input line 119
5.


LaTeX Warning: Citation `Alder/Roessler' on page 621 undefined on input line 11
95.


LaTeX Warning: Citation `Lindgren' on page 621 undefined on input line 1195.


LaTeX Warning: Citation `Rosenkrantz' on page 621 undefined on input line 1195.



LaTeX Warning: Reference `prob:200:mean' on page 621 undefined on input line 11
99.


LaTeX Warning: Reference `prob:200:stdev' on page 621 undefined on input line 1
199.


LaTeX Warning: Reference `prob:200:20' on page 621 undefined on input line 1201
.


LaTeX Warning: Citation `Bulmer' on page 621 undefined on input line 1217.


LaTeX Warning: Reference `conclu:athwart' on page 621 undefined on input line 1
225.


LaTeX Warning: Reference `conclu:klein' on page 621 undefined on input line 122
5.


LaTeX Warning: Citation `Feynman' on page 621 undefined on input line 1248.


[621]

LaTeX Warning: Reference `alggeo:225.3' on page 622 undefined on input line 127
6.


LaTeX Warning: Reference `taylor:320' on page 622 undefined on input line 1277.



LaTeX Warning: Reference `mtxinv:320' on page 622 undefined on input line 1280.



LaTeX Warning: Reference `prob:070' on page 622 undefined on input line 1285.


[622]

LaTeX Warning: Reference `integ:670:fig-d' on page 623 undefined on input line 
1329.


LaTeX Warning: Reference `drvtv:220' on page 623 undefined on input line 1332.


LaTeX Warning: Reference `prob:070:40' on page 623 undefined on input line 1333
.


LaTeX Warning: Reference `prob:stat' on page 623 undefined on input line 1348.


LaTeX Warning: Reference `prob:300:55' on page 623 undefined on input line 1363
.


LaTeX Warning: Reference `prob:070:40' on page 623 undefined on input line 1365
.


LaTeX Warning: Reference `prob:normdist-fig' on page 623 undefined on input lin
e 1374.


LaTeX Warning: Reference `prob:100' on page 623 undefined on input line 1380.


LaTeX Warning: Reference `prob:100.60' on page 623 undefined on input line 1394
.


[623]

LaTeX Warning: Reference `prob:normdist-fig' on page 624 undefined on input lin
e 1412.


LaTeX Warning: Reference `fours:095:fig1' on page 624 undefined on input line 1
431.


LaTeX Warning: Reference `prob:100' on page 624 undefined on input line 1434.


LaTeX Warning: Reference `prob:400.30' on page 624 undefined on input line 1435
.


LaTeX Warning: Reference `prob:410' on page 624 undefined on input line 1436.


[624]

LaTeX Warning: Reference `integ:670:10' on page 625 undefined on input line 146
3.


LaTeX Warning: Reference `inttx:240' on page 625 undefined on input line 1484.


LaTeX Warning: Reference `inttx:470:tbl' on page 625 undefined on input line 14
84.


LaTeX Warning: Reference `prob:CDF' on page 625 undefined on input line 1489.


LaTeX Warning: Reference `prob:quantile' on page 625 undefined on input line 14
90.


LaTeX Warning: Citation `Bulmer' on page 625 undefined on input line 1507.


[625]

LaTeX Warning: Reference `prob:400:p25' on page 626 undefined on input line 153
9.


LaTeX Warning: Reference `prob:400:p25' on page 626 undefined on input line 154
1.


LaTeX Warning: Reference `prob:050:10' on page 626 undefined on input line 1551
.


LaTeX Warning: Reference `prob:400.20' on page 626 undefined on input line 1553
.


[626]

LaTeX Warning: Reference `prob:050:10' on page 627 undefined on input line 1598
.


LaTeX Warning: Reference `fouri:130' on page 627 undefined on input line 1602.


LaTeX Warning: Reference `prob:CDF' on page 627 undefined on input line 1603.


LaTeX Warning: Reference `prob:quantile' on page 627 undefined on input line 16
03.


LaTeX Warning: Citation `Papoulis' on page 627 undefined on input line 1604.


[627]

LaTeX Warning: Reference `prob:stat' on page 628 undefined on input line 1622.


LaTeX Warning: Reference `prob:100:10' on page 628 undefined on input line 1634
.


Underfull \vbox (badness 10000) has occurred while \output is active
[628]

LaTeX Warning: Citation `Feynman' on page 629 undefined on input line 1683.


LaTeX Warning: Reference `prob:400:28' on page 629 undefined on input line 1762
.


LaTeX Warning: Reference `prob:400:34' on page 629 undefined on input line 1762
.


[629]

LaTeX Warning: Reference `prob:400.30' on page 630 undefined on input line 1768
.


LaTeX Warning: Reference `prob:400.30' on page 630 undefined on input line 1773
.


LaTeX Warning: Reference `prob:410:20' on page 630 undefined on input line 1783
.


LaTeX Warning: Reference `prob:410:20' on page 630 undefined on input line 1801
.


LaTeX Warning: Reference `prob:410:25' on page 630 undefined on input line 1801
.


LaTeX Warning: Citation `Box/Muller' on page 630 undefined on input line 1803.


LaTeX Warning: Citation `EWW' on page 630 undefined on input line 1803.


LaTeX Warning: Reference `prob:100:40' on page 630 undefined on input line 1815
.


LaTeX Warning: Citation `libmpfi' on page 630 undefined on input line 1837.


[630]

LaTeX Warning: Citation `Lebedev' on page 631 undefined on input line 1882.


[631]

LaTeX Warning: Citation `Andrews' on page 632 undefined on input line 1952.


LaTeX Warning: Citation `Andrews' on page 632 undefined on input line 1969.


[632]

LaTeX Warning: Reference `prob:400:30' on page 633 undefined on input line 2007
.


LaTeX Warning: Reference `prob:400:32' on page 633 undefined on input line 2007
.


LaTeX Warning: Reference `prob:750:20' on page 633 undefined on input line 2014
.


LaTeX Warning: Reference `prob:750:20' on page 633 undefined on input line 2017
.


LaTeX Warning: Reference `prob:750' on page 633 undefined on input line 2029.


LaTeX Warning: Reference `prob:750' on page 633 undefined on input line 2037.


[633]

LaTeX Warning: Reference `prob:750' on page 634 undefined on input line 2044.


LaTeX Warning: Reference `prob:750fn1' on page 634 undefined on input line 2046
.


LaTeX Warning: Reference `taylor:317' on page 634 undefined on input line 2050.



LaTeX Warning: Reference `prob:750:20' on page 634 undefined on input line 2061
.


LaTeX Warning: Reference `prob:750:25' on page 634 undefined on input line 2062
.


LaTeX Warning: Reference `prob:quantile' on page 634 undefined on input line 20
78.


LaTeX Warning: Reference `drvtv:NR' on page 634 undefined on input line 2081.


LaTeX Warning: Reference `prob:775:10' on page 634 undefined on input line 2091
.


LaTeX Warning: Reference `prob:100:40' on page 634 undefined on input line 2099
.


LaTeX Warning: Reference `prob:750:20' on page 634 undefined on input line 2100
.


LaTeX Warning: Reference `prob:normdist' on page 634 undefined on input line 21
01.


LaTeX Warning: Reference `prob:normdist-fig' on page 634 undefined on input lin
e 2102.


LaTeX Warning: Reference `prob:normdist-fig' on page 634 undefined on input lin
e 2103.


LaTeX Warning: Reference `drvtv:270:fig1' on page 634 undefined on input line 2
105.


LaTeX Warning: Reference `drvtv:270:fig1' on page 634 undefined on input line 2
105.


[634]

LaTeX Warning: Reference `prob:750:20' on page 635 undefined on input line 2119
.


LaTeX Warning: Reference `prob:775:10' on page 635 undefined on input line 2124
.


LaTeX Warning: Reference `prob:775:10' on page 635 undefined on input line 2158
.


LaTeX Warning: Reference `prob:normdist' on page 635 undefined on input line 21
62.


LaTeX Warning: Reference `prob:100:40' on page 635 undefined on input line 2162
.


LaTeX Warning: Reference `prob:750:20' on page 635 undefined on input line 2162
.


LaTeX Warning: Reference `prob:775:10' on page 635 undefined on input line 2163
.


LaTeX Warning: Reference `taylor:316.80' on page 635 undefined on input line 21
66.


[635])
[636] (./gamma.tex
Chapter 21.

LaTeX Warning: Citation `Lebedev' on page 637 undefined on input line 25.


LaTeX Warning: Citation `Andrews' on page 637 undefined on input line 41.


LaTeX Warning: Citation `A-S' on page 637 undefined on input line 43.


[637]

LaTeX Warning: Citation `G-R' on page 638 undefined on input line 88.


Underfull \hbox (badness 1132) in paragraph at lines 68--89
\OT1/cmr/m/n/10.95 func-tions; par-a-bolic cylin-der func-tions; Meijer's and M
ac-

LaTeX Warning: Citation `WWBell' on page 638 undefined on input line 98.


Underfull \hbox (badness 10000) in paragraph at lines 94--99
\OT1/cmr/m/n/10.95 equa-tions of the form $\OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10
.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 d[]y=dx[] \O
T1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 Q\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95
 x\OT1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 dy=dx \OT1/cmr/m/n/10.95 +

LaTeX Warning: Citation `EWW-web' on page 638 undefined on input line 112.


[638]

LaTeX Warning: Reference `fours:160' on page 639 undefined on input line 127.


LaTeX Warning: Reference `prob:100.40' on page 639 undefined on input line 128.



LaTeX Warning: Reference `prob:750' on page 639 undefined on input line 128.


LaTeX Warning: Reference `prob:750' on page 639 undefined on input line 129.


LaTeX Warning: Reference `prob:760' on page 639 undefined on input line 129.


LaTeX Warning: Reference `gamma:960' on page 639 undefined on input line 137.


[639]

LaTeX Warning: Citation `Brown-conversation' on page 640 undefined on input lin
e 205.


LaTeX Warning: Reference `lapl:260' on page 640 undefined on input line 205.


LaTeX Warning: Citation `Lebedev' on page 640 undefined on input line 219.


LaTeX Warning: Citation `Andrews' on page 640 undefined on input line 219.


LaTeX Warning: Citation `A-S' on page 640 undefined on input line 219.


LaTeX Warning: Citation `Sebah-Gourdon' on page 640 undefined on input line 219
.


LaTeX Warning: Reference `gamma:def-int' on page 640 undefined on input line 23
6.


LaTeX Warning: Reference `inttx:parts' on page 640 undefined on input line 237.



LaTeX Warning: Citation `Lebedev' on page 640 undefined on input line 238.


[640]

LaTeX Warning: Citation `Lebedev' on page 641 undefined on input line 257.


LaTeX Warning: Citation `Andrews' on page 641 undefined on input line 257.


LaTeX Warning: Citation `A-S' on page 641 undefined on input line 257.


LaTeX Warning: Reference `gamma:def-int' on page 641 undefined on input line 26
1.


LaTeX Warning: Citation `Andrews' on page 641 undefined on input line 264.


LaTeX Warning: Reference `gamma:110:00' on page 641 undefined on input line 268
.


LaTeX Warning: Citation `Andrews' on page 641 undefined on input line 272.


LaTeX Warning: Citation `A-S' on page 641 undefined on input line 272.


LaTeX Warning: Reference `gamma:110:00' on page 641 undefined on input line 277
.


LaTeX Warning: Reference `gamma:110:00' on page 641 undefined on input line 279
.


LaTeX Warning: Reference `gamma:110:05' on page 641 undefined on input line 279
.


LaTeX Warning: Reference `gamma:230' on page 641 undefined on input line 281.


LaTeX Warning: Citation `Andrews' on page 641 undefined on input line 297.


LaTeX Warning: Reference `fouri:130' on page 641 undefined on input line 298.


LaTeX Warning: Reference `gamma:def-int' on page 641 undefined on input line 29
9.


[641]

LaTeX Warning: Citation `Lebedev' on page 642 undefined on input line 334.


LaTeX Warning: Citation `Andrews' on page 642 undefined on input line 334.


LaTeX Warning: Citation `A-S' on page 642 undefined on input line 334.


LaTeX Warning: Reference `gamma:def-int' on page 642 undefined on input line 33
5.


LaTeX Warning: Reference `gamma:110:00' on page 642 undefined on input line 341
.


LaTeX Warning: Reference `gamma:half' on page 642 undefined on input line 341.


LaTeX Warning: Reference `gamma:def-int' on page 642 undefined on input line 35
4.


LaTeX Warning: Reference `taylor:315:tbl' on page 642 undefined on input line 3
55.


LaTeX Warning: Reference `gamma:def-int' on page 642 undefined on input line 36
4.


[642]

LaTeX Warning: Reference `gamma:200:35' on page 643 undefined on input line 398
.


LaTeX Warning: Reference `gamma:200:30' on page 643 undefined on input line 402
.


LaTeX Warning: Reference `gamma:200:30' on page 643 undefined on input line 405
.


[643]

LaTeX Warning: Reference `gamma:200:40' on page 644 undefined on input line 464
.


LaTeX Warning: Reference `gamma:200:40' on page 644 undefined on input line 468
.


LaTeX Warning: Reference `gamma:200:40' on page 644 undefined on input line 470
.


LaTeX Warning: Reference `gamma:200:30' on page 644 undefined on input line 470
.


LaTeX Warning: Reference `gamma:200:30' on page 644 undefined on input line 477
.


LaTeX Warning: Reference `gamma:200:35' on page 644 undefined on input line 494
.


[644]

LaTeX Warning: Reference `gamma:200:46' on page 645 undefined on input line 515
.


LaTeX Warning: Reference `gamma:200:40' on page 645 undefined on input line 515
.


LaTeX Warning: Reference `gamma:200:30' on page 645 undefined on input line 534
.


LaTeX Warning: Reference `gamma:200:25' on page 645 undefined on input line 535
.


LaTeX Warning: Reference `gamma:200:35' on page 645 undefined on input line 541
.


LaTeX Warning: Reference `gamma:200:45' on page 645 undefined on input line 542
.


LaTeX Warning: Reference `gamma:200:46' on page 645 undefined on input line 542
.


LaTeX Warning: Reference `gamma:200:25' on page 645 undefined on input line 543
.


LaTeX Warning: Citation `A-S' on page 645 undefined on input line 547.


LaTeX Warning: Reference `gamma:plot' on page 645 undefined on input line 555.


LaTeX Warning: Reference `gamma:200:50' on page 645 undefined on input line 556
.


LaTeX Warning: Reference `gamma:110:00' on page 645 undefined on input line 556
.


LaTeX Warning: Citation `A-S' on page 645 undefined on input line 559.


Package pst-pdf Warning: pspicture No. 86 undefined.


LaTeX Warning: Citation `A-S' on page 645 undefined on input line 682.


LaTeX Warning: Citation `Lebedev' on page 645 undefined on input line 682.


LaTeX Warning: Citation `Andrews' on page 645 undefined on input line 682.


LaTeX Warning: Reference `gamma:def-int' on page 645 undefined on input line 68
7.


LaTeX Warning: Citation `Titchmarsh' on page 645 undefined on input line 689.


LaTeX Warning: Citation `Lebedev' on page 645 undefined on input line 689.


[645]

LaTeX Warning: Reference `inttx:250:20' on page 646 undefined on input line 746
.


LaTeX Warning: Reference `trig:228:table' on page 646 undefined on input line 7
47.


LaTeX Warning: Reference `gamma:220:00' on page 646 undefined on input line 748
.


LaTeX Warning: Reference `gamma:110:00' on page 646 undefined on input line 750
.


LaTeX Warning: Reference `gamma:220:00' on page 646 undefined on input line 751
.


LaTeX Warning: Reference `gamma:def-int' on page 646 undefined on input line 77
3.


LaTeX Warning: Reference `gamma:110:00' on page 646 undefined on input line 774
.


[646]

LaTeX Warning: Reference `alggeo:250' on page 647 undefined on input line 785.


LaTeX Warning: Reference `taylor:350' on page 647 undefined on input line 787.


[647]

LaTeX Warning: Reference `gamma:plot' on page 648 undefined on input line 844.


LaTeX Warning: Reference `taylor:330' on page 648 undefined on input line 845.


LaTeX Warning: Reference `taylor:330' on page 648 undefined on input line 846.


LaTeX Warning: Reference `drvtv:240.40' on page 648 undefined on input line 864
.


LaTeX Warning: Citation `Lebedev' on page 648 undefined on input line 865.


LaTeX Warning: Reference `gamma:def-int' on page 648 undefined on input line 86
6.


LaTeX Warning: Reference `inttx:460:frullani' on page 648 undefined on input li
ne 878.


LaTeX Warning: Reference `inttx:460:frullani' on page 648 undefined on input li
ne 879.


Underfull \vbox (badness 1237) has occurred while \output is active
[648]

LaTeX Warning: Reference `gamma:digamma' on page 649 undefined on input line 92
3.


LaTeX Warning: Reference `gamma:digamma-int' on page 649 undefined on input lin
e 930.


LaTeX Warning: Reference `gamma:def-int' on page 649 undefined on input line 93
1.


LaTeX Warning: Reference `gamma:040' on page 649 undefined on input line 940.


LaTeX Warning: Citation `colofred' on page 649 undefined on input line 945.


[649]

LaTeX Warning: Reference `matrix' on page 650 undefined on input line 958.


LaTeX Warning: Reference `eigen' on page 650 undefined on input line 959.


LaTeX Warning: Reference `gamma:050:10' on page 650 undefined on input line 965
.


LaTeX Warning: Reference `matrix' on page 650 undefined on input line 979.

)
[650] (./stub.tex

LaTeX Warning: Reference `gamma' on page 651 undefined on input line 44.

)
[651] (./conclu.tex
[652]
Chapter 22.

LaTeX Warning: Citation `Frege:1879' on page 653 undefined on input line 55.


[653]

LaTeX Warning: Citation `Lotter' on page 654 undefined on input line 65.


[654]

LaTeX Warning: Citation `Feser' on page 655 undefined on input line 162.


LaTeX Warning: Citation `Feser:StTh' on page 655 undefined on input line 162.


LaTeX Warning: Citation `CatholicEncyc' on page 655 undefined on input line 170
.


[655]

LaTeX Warning: Reference `prob:200.90' on page 656 undefined on input line 203.



[656]
[657]
[658]
[659]
[660]

LaTeX Warning: Citation `Klein' on page 661 undefined on input line 450.

)
[661]
[662]
[663]
[664] (./hex.tex
Appendix A.

LaTeX Warning: Citation `mathbios' on page 665 undefined on input line 54.


[665]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 63.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `\pi' on input line 63.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 63.


LaTeX Warning: Citation `Palais:2001' on page 666 undefined on input line 229.


LaTeX Warning: Citation `Bartholomew' on page 666 undefined on input line 229.


LaTeX Warning: Citation `Lindenberg' on page 666 undefined on input line 229.


LaTeX Warning: Reference `hex:240.1' on page 666 undefined on input line 232.


[666]
[667]

LaTeX Warning: Citation `Laplace-Ouvres' on page 668 undefined on input line 31
3.


LaTeX Warning: Reference `trig:260' on page 668 undefined on input line 313.


LaTeX Warning: Reference `gjrank:341.01' on page 668 undefined on input line 34
0.


LaTeX Warning: Reference `drvtv:pasc' on page 668 undefined on input line 342.


[668])
[669] (./greek.tex
[670]
Appendix B.

LaTeX Warning: Reference `greek:288:greek' on page 671 undefined on input line 
9.


[671]
[672])
[673] (./purec.tex
[674]
Appendix C.

LaTeX Warning: Reference `noth:220' on page 675 undefined on input line 13.


LaTeX Warning: Reference `matrix' on page 675 undefined on input line 14.


LaTeX Warning: Reference `eigen' on page 675 undefined on input line 15.


LaTeX Warning: Reference `intro:310' on page 675 undefined on input line 19.


LaTeX Warning: Reference `inttx' on page 675 undefined on input line 27.


LaTeX Warning: Reference `taylor:315' on page 675 undefined on input line 28.


[675]

LaTeX Warning: Citation `Hildebrand' on page 676 undefined on input line 62.


LaTeX Warning: Citation `Arnold:1997' on page 676 undefined on input line 62.


LaTeX Warning: Reference `purec:100:10' on page 676 undefined on input line 62.



LaTeX Warning: Reference `taylor:320' on page 676 undefined on input line 68.


LaTeX Warning: Citation `Arnold:1997' on page 676 undefined on input line 73.


LaTeX Warning: Reference `drvtv:240' on page 676 undefined on input line 88.


LaTeX Warning: Reference `purec:100:10' on page 676 undefined on input line 88.



[676]

LaTeX Warning: Reference `taylor:cauchy0' on page 677 undefined on input line 1
14.


LaTeX Warning: Citation `Arnold:1997' on page 677 undefined on input line 152.


LaTeX Warning: Citation `Hildebrand' on page 677 undefined on input line 154.


LaTeX Warning: Reference `purec:100:10' on page 677 undefined on input line 156
.


LaTeX Warning: Reference `alggeo:228:45' on page 677 undefined on input line 15
7.


[677]

LaTeX Warning: Reference `taylor:310:20' on page 678 undefined on input line 18
2.


LaTeX Warning: Reference `purec:100:40' on page 678 undefined on input line 187
.


LaTeX Warning: Reference `taylor' on page 678 undefined on input line 191.


LaTeX Warning: Reference `purec:100:40' on page 678 undefined on input line 194
.


LaTeX Warning: Reference `taylor:310:20' on page 678 undefined on input line 19
4.


LaTeX Warning: Reference `taylor:350:30' on page 678 undefined on input line 20
0.


LaTeX Warning: Reference `purec:100:40' on page 678 undefined on input line 203
.


LaTeX Warning: Reference `purec:100:40' on page 678 undefined on input line 214
.


LaTeX Warning: Reference `taylor:315:tbl' on page 678 undefined on input line 2
18.


[678])
[679] (./hist.tex
[680]
Appendix D.

LaTeX Warning: Reference `alggeo:223' on page 681 undefined on input line 23.


LaTeX Warning: Reference `intro' on page 681 undefined on input line 23.


LaTeX Warning: Reference `trig:226:f1' on page 681 undefined on input line 47.


[681]

LaTeX Warning: Citation `Feynman' on page 682 undefined on input line 65.


[682]

LaTeX Warning: Reference `prob:100' on page 683 undefined on input line 117.


[683]

LaTeX Warning: Citation `Courant/Hilbert' on page 684 undefined on input line 2
31.


LaTeX Warning: Citation `Jeffreys/Jeffreys' on page 684 undefined on input line
 233.


LaTeX Warning: Citation `Arfken/Weber' on page 684 undefined on input line 234.



LaTeX Warning: Citation `EWW' on page 684 undefined on input line 256.


[684]

LaTeX Warning: Reference `intro' on page 685 undefined on input line 318.


LaTeX Warning: Citation `Debian' on page 685 undefined on input line 335.


LaTeX Warning: Reference `intro' on page 685 undefined on input line 339.


[685])
[686]
No file main.bbl.
No file main.ind.

Package pst-pdf Warning: File `main-pics.pdf' not found. 
(pst-pdf)                Use the following commands to create it: 
(pst-pdf)                ---------------------------------------------------- 
(pst-pdf)                latex main.tex
(pst-pdf)                dvips -o main-pics.ps main.dvi
(pst-pdf)                ps2pdf main-pics.ps
(pst-pdf)                ---------------------------------------------------- .


(./main.aux (./sphere.aux) (./pref.aux) (./intro.aux) (./alggeo.aux)
(./trig.aux) (./drvtv.aux) (./cexp.aux) (./noth.aux) (./integ.aux)
(./taylor.aux) (./inttx.aux) (./cubic.aux) (./matrix.aux) (./gjrank.aux)
(./mtxinv.aux) (./eigen.aux) (./vector.aux) (./vcalc.aux) (./fours.aux)
(./fouri.aux) (./lapl.aux) (./prob.aux) (./gamma.aux) (./stub.aux)
(./conclu.aux) (./hex.aux) (./greek.aux) (./purec.aux) (./hist.aux))
kpathsea: Running mktexpk --mfmode / --bdpi 600 --mag 1+0/600 --dpi 600 tcti1095
mkdir: cannot create directory '././nonexistent': Permission denied
mktexpk: Running mf-nowin -progname=mf \mode:=ljfour; mag:=1+0/600; nonstopmode; input tcti1095
This is METAFONT, Version 2.71828182 (TeX Live 2025/dev/Debian) (preloaded base=mf)

(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/tcti1095.mf
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/exbase.mf)
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/tcti.mf
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txsymb.mf
 Ok (/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/exaccess.mf
 Ok) (/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txpseudo.mf
 Ok) (/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txaccent.mf
 Ok [0] [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [27] [29])
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txgen.mf
 Ok [100] [109] [98] [99] [108])
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txsymbol.mf
 Ok [13] [18] [21] [22] [23] [24] [25] [26] [28] [31] [32] [36] [39] [44]
[45] [46] [42] [47] [60] [61] [62] [77] [79] [87] [110] [91] [93] [94] [95]
[96] [126] [127] [128] [129] [130] [131] [132] [133] [134] [135] [136] [137]
[138] [139] [140] [141] [142] [143] [144] [145] [146] [147] [148] [149]
[150] [151] [152] [153] [154] [155] [156] [157] [158] [159] [160] [161]
[162] [163] [164] [165] [166] [167] [168] [169] [171] [172] [173] [174]
[175] [177] [176] [180] [181] [182] [183] [184] [187] [191] [214] [246])
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txitlod.mf
 Ok [48] [49] [53] [54] [56] [57] [50] [51] [52] [55])
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txisuper.mf
 Ok [185] [178] [179] [170] [186])
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txifract.mf
 Ok [188] [189] [190]) ) ) )
Font metrics written on tcti1095.tfm.
Output written on tcti1095.600gf (128 characters, 25768 bytes).
Transcript written on tcti1095.log.
mktexpk: /tmp/texfonts/pk/ljfour/jknappen/ec/tcti1095.600pk: successfully generated.


LaTeX Warning: There were undefined references.


LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right.


Package rerunfilecheck Warning: File `main.out' has changed.
(rerunfilecheck)                Rerun to get outlines right
(rerunfilecheck)                or use package `bookmark'.

 )
(see the transcript file for additional information) </tmp/texfonts/pk/ljfour/j
knappen/ec/tcti1095.600pk>
kpathsea: Running mktexpk --mfmode / --bdpi 600 --mag 1+0/600 --dpi 600 tcrm0900
mkdir: cannot create directory '././nonexistent': Permission denied
mktexpk: Running mf-nowin -progname=mf \mode:=ljfour; mag:=1+0/600; nonstopmode; input tcrm0900
This is METAFONT, Version 2.71828182 (TeX Live 2025/dev/Debian) (preloaded base=mf)

(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/tcrm0900.mf
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/exbase.mf)
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/tcrm.mf
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txsymb.mf
 Ok (/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/exaccess.mf
 Ok) (/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txpseudo.mf
 Ok) (/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txaccent.mf
 Ok [0] [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [27] [29])
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txgen.mf
 Ok [100] [109] [98] [99] [108])
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txsymbol.mf
 Ok [13] [18] [21] [22] [23] [24] [25] [26] [28] [31] [32] [36] [39] [44]
[45] [46] [42] [47] [60] [61] [62] [77] [79] [87] [110] [91] [93] [94] [95]
[96] [126] [127] [128] [129] [130] [131] [132] [133] [134] [135] [136] [137]
[138] [139] [140] [141] [142] [143] [144] [145] [146] [147] [148] [149]
[150] [151] [152] [153] [154] [155] [156] [157] [158] [159] [160] [161]
[162] [163] [164] [165] [166] [167] [168] [169] [171] [172] [173] [174]
[175] [177] [176] [180] [181] [182] [183] [184] [187] [191] [214] [246])
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txromod.mf
 Ok [48] [49] [50] [51] [52] [53] [54] [55] [56] [57])
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txrsuper.mf
 Ok [185] [178] [179] [170] [186])
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txrfract.mf
 Ok [188] [189] [190]) ) ) )
(some charht values had to be adjusted by as much as 0.06744pt)
Font metrics written on tcrm0900.tfm.
Output written on tcrm0900.600gf (128 characters, 21392 bytes).
Transcript written on tcrm0900.log.
mktexpk: /tmp/texfonts/pk/ljfour/jknappen/ec/tcrm0900.600pk: successfully generated.
 </tmp/texfonts/pk/ljfour/jknappen/ec/tcrm0900.600pk>

kpathsea: Running mktexpk --mfmode / --bdpi 600 --mag 1+0/600 --dpi 600 tcrm1095
mkdir: cannot create directory '././nonexistent': Permission denied
mktexpk: Running mf-nowin -progname=mf \mode:=ljfour; mag:=1+0/600; nonstopmode; input tcrm1095
This is METAFONT, Version 2.71828182 (TeX Live 2025/dev/Debian) (preloaded base=mf)

(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/tcrm1095.mf
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/exbase.mf)
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/tcrm.mf
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txsymb.mf
 Ok (/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/exaccess.mf
 Ok) (/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txpseudo.mf
 Ok) (/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txaccent.mf
 Ok [0] [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [27] [29])
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txgen.mf
 Ok [100] [109] [98] [99] [108])
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txsymbol.mf
 Ok [13] [18] [21] [22] [23] [24] [25] [26] [28] [31] [32] [36] [39] [44]
[45] [46] [42] [47] [60] [61] [62] [77] [79] [87] [110] [91] [93] [94] [95]
[96] [126] [127] [128] [129] [130] [131] [132] [133] [134] [135] [136] [137]
[138] [139] [140] [141] [142] [143] [144] [145] [146] [147] [148] [149]
[150] [151] [152] [153] [154] [155] [156] [157] [158] [159] [160] [161]
[162] [163] [164] [165] [166] [167] [168] [169] [171] [172] [173] [174]
[175] [177] [176] [180] [181] [182] [183] [184] [187] [191] [214] [246])
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txromod.mf
 Ok [48] [49] [50] [51] [52] [53] [54] [55] [56] [57])
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txrsuper.mf
 Ok [185] [178] [179] [170] [186])
(/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txrfract.mf
 Ok [188] [189] [190]) ) ) )
(some charht values had to be adjusted by as much as 0.06952pt)
Font metrics written on tcrm1095.tfm.
Output written on tcrm1095.600gf (128 characters, 25592 bytes).
Transcript written on tcrm1095.log.
mktexpk: /tmp/texfonts/pk/ljfour/jknappen/ec/tcrm1095.600pk: successfully generated.
 </tmp/texfonts/pk/ljfour/jknappen/ec/tcrm1095.600pk></usr/share/texlive/texmf-
dist/fonts/type1/public/amsfonts/cm/cmbx10.pfb></usr/share/texlive/texmf-dist/f
onts/type1/public/amsfonts/cm/cmbx12.pfb></usr/share/texlive/texmf-dist/fonts/t
ype1/public/amsfonts/cm/cmbx6.pfb></usr/share/texlive/texmf-dist/fonts/type1/pu
blic/amsfonts/cm/cmbx8.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/am
sfonts/cm/cmbx9.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/
cm/cmcsc10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cm
ex10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cmextra/cme
x8.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cmextra/cmex9
.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb><
/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi12.pfb></usr/s
hare/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi5.pfb></usr/share/te
xlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi6.pfb></usr/share/texlive/t
exmf-dist/fonts/type1/public/amsfonts/cm/cmmi8.pfb></usr/share/texlive/texmf-di
st/fonts/type1/public/amsfonts/cm/cmmi9.pfb></usr/share/texlive/texmf-dist/font
s/type1/public/amsfonts/cm/cmmib10.pfb></usr/share/texlive/texmf-dist/fonts/typ
e1/public/amsfonts/cmextra/cmmib8.pfb></usr/share/texlive/texmf-dist/fonts/type
1/public/amsfonts/cmextra/cmmib9.pfb></usr/share/texlive/texmf-dist/fonts/type1
/public/amsfonts/cm/cmr10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public
/amsfonts/cm/cmr12.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfon
ts/cm/cmr17.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/c
mr5.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr6.pfb>
</usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr8.pfb></usr/sh
are/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr9.pfb></usr/share/texl
ive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsl10.pfb></usr/share/texlive/te
xmf-dist/fonts/type1/public/amsfonts/cm/cmss9.pfb></usr/share/texlive/texmf-dis
t/fonts/type1/public/amsfonts/cm/cmsy10.pfb></usr/share/texlive/texmf-dist/font
s/type1/public/amsfonts/cm/cmsy5.pfb></usr/share/texlive/texmf-dist/fonts/type1
/public/amsfonts/cm/cmsy6.pfb></usr/share/texlive/texmf-dist/fonts/type1/public
/amsfonts/cm/cmsy8.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfon
ts/cm/cmsy9.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/c
mti10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmti8.p
fb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmti9.pfb></us
r/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmtt10.pfb></usr/shar
e/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmtt9.pfb></usr/share/texli
ve/texmf-dist/fonts/type1/public/amsfonts/symbols/msam10.pfb></usr/share/texliv
e/texmf-dist/fonts/type1/public/amsfonts/symbols/msbm10.pfb></usr/share/texlive
/texmf-dist/fonts/type1/public/rsfs/rsfs10.pfb></usr/share/texlive/texmf-dist/f
onts/type1/public/rsfs/rsfs5.pfb>
Output written on main.pdf (702 pages, 2480591 bytes).
Transcript written on main.log.
bibtex    main.aux
This is BibTeX, Version 0.99d (TeX Live 2025/dev/Debian)
The top-level auxiliary file: main.aux
The style file: plain.bst
Database file #1: bib.bib
Warning--empty chapter and pages in Berkeley
Warning--empty publisher in Frege:1879
Warning--empty year in Frege:1879
Warning--empty publisher in Gibbon
Warning--empty year in Lotter
Warning--empty publisher in OEIS
Warning--empty year in OEIS
(There were 7 warnings)
rm -fv dobuildpstonly.tex && ln -sv dobp0.tex dobuildpstonly.tex
removed 'dobuildpstonly.tex'
'dobuildpstonly.tex' -> 'dobp0.tex'
latex -jobname=main-pics main.tex
This is pdfTeX, Version 3.141592653-2.6-1.40.26 (TeX Live 2025/dev/Debian) (preloaded format=latex)
 restricted \write18 enabled.
entering extended mode
(./main.tex
LaTeX2e <2024-11-01>
L3 programming layer <2024-11-02>
(./derivations-book.cls
Document Class: derivations-book 2024/06/29 v1.4n Standard LaTeX document class

(/usr/share/texlive/texmf-dist/tex/latex/base/bk11.clo)) (./thb.sty
(/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty)
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty))
(/usr/share/texlive/texmf-dist/tex/latex/jknapltx/mathrsfs.sty)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty)
(/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics-def/dvips.def)))
(/usr/share/texlive/texmf-dist/tex/latex/pst-plot/pst-plot.sty
(/usr/share/texlive/texmf-dist/tex/latex/pstricks/pstricks.sty
(/usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty)
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/mathcolor.ltx))
(/usr/share/texlive/texmf-dist/tex/generic/xkeyval/pst-xkey.tex
(/usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty
(/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkeyval.tex
(/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkvutils.tex))))
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.tex
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pst-fp.tex
`pst-fp' v0.06, 2020/11/20 (hv))
(/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty
(/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex)))
(/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeyslibraryfiltered
.code.tex))) (/usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code
.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonomet
ric.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.cod
e.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison
.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.
tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code
.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.
tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerari
thmetics.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex)))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex))
`PSTricks' v3.20  <2024/07/09> (tvz,hv)
--- We are running latex or xelatex ---
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.con)
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks-color.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks-arrows.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks-dots.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.con))
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pst-fp.tex
`pst-fp' v0.06, 2020/11/20 (hv)))
(/usr/share/texlive/texmf-dist/tex/latex/xkeyval/pst-xkey.sty)
(/usr/share/texlive/texmf-dist/tex/latex/multido/multido.sty
(/usr/share/texlive/texmf-dist/tex/generic/multido/multido.tex
 v1.42, 2010/05/14 <tvz>))
(/usr/share/texlive/texmf-dist/tex/generic/pst-plot/pst-plot.tex
(/usr/share/texlive/texmf-dist/tex/generic/pst-tools/pst-tools.tex
`PST-tools' v0.12, 2021/09/23 (hv))
(/usr/share/texlive/texmf-dist/tex/generic/pstricks-add/pstricks-add.tex
(/usr/share/texlive/texmf-dist/tex/generic/pst-node/pst-node.tex
 v1.45, 2024/07/10)
(/usr/share/texlive/texmf-dist/tex/generic/pst-arrow/pst-arrow.tex
`pst-arrow' v0.05, 2021/11/16 (dr,hv))
(/usr/share/texlive/texmf-dist/tex/generic/pst-3d/pst-3d.tex
`PST-3d' v1.11, 2010/02/14 (tvz))
(/usr/share/texlive/texmf-dist/tex/generic/pst-math/pst-math.tex
`pst-math' v0.67 , (CJ,hv)) `pstricks-add' v3.94, 2023/04/17 (dr,hv))
 v1.94, 2022/11/21 (tvz,hv)))
(/usr/share/texlive/texmf-dist/tex/latex/base/makeidx.sty))

LaTeX Warning: \include should only be used after \begin{document} on input lin
e 6.

(./dobuilddraft.tex)

LaTeX Warning: \include should only be used after \begin{document} on input lin
e 7.

(./dobuildpstonly.tex)
(/usr/share/texlive/texmf-dist/tex/latex/pst-pdf/pst-pdf.sty
(/usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty)
(/usr/share/texlive/texmf-dist/tex/generic/iftex/ifxetex.sty)
(/usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty)
No auxiliary output files.

(/usr/share/texmf/tex/latex/preview/preview.sty
(/usr/share/texlive/texmf-dist/tex/generic/luatex85/luatex85.sty)
(/usr/share/texmf/tex/latex/preview/prtightpage.def)))
(/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-dvips.def)
No file main-pics.aux.
Preview: Fontsize 10.95pt
(./sphere.tex) (/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd)
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd)
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd)
(/usr/share/texlive/texmf-dist/tex/latex/jknapltx/ursfs.fd)

LaTeX Warning: Citation `Debian' on page ii undefined on input line 62.


LaTeX Warning: Citation `self' on page ii undefined on input line 63.


LaTeX Warning: Citation `self-derivations.org' on page ii undefined on input li
ne 64.


Overfull \hbox (16.27487pt too wide) in paragraph at lines 61--65
\OT1/cmr/m/n/10.95 This book is pub-lished by the De-bian Project [[]]. Be-side
s in De-bian GNU/Linux

LaTeX Warning: Citation `GPL' on page ii undefined on input line 68.


No file main-pics.toc.


No file main-pics.lot.


No file main-pics.lof.

(./pref.tex

LaTeX Warning: Citation `Courant/Hilbert' on page ix undefined on input line 33
.


LaTeX Warning: Citation `Jeffreys/Jeffreys' on page ix undefined on input line 
33.


LaTeX Warning: Citation `Arfken/Weber' on page ix undefined on input line 33.


LaTeX Warning: Reference `intro' on page ix undefined on input line 42.


LaTeX Warning: Reference `eigen' on page ix undefined on input line 50.




LaTeX Warning: Citation `Debian' on page xi undefined on input line 143.



LaTeX Warning: Citation `GPL' on page xii undefined on input line 156.


LaTeX Warning: Citation `Gibbon' on page xii undefined on input line 180.


LaTeX Warning: Citation `Shirer' on page xii undefined on input line 181.



LaTeX Warning: Citation `Lewis:abolition' on page xiii undefined on input line 
242.



LaTeX Warning: Reference `intro' on page xiv undefined on input line 254.


LaTeX Warning: Citation `Sieg/Schlimm' on page xiv undefined on input line 284.



LaTeX Warning: Citation `Toader' on page xiv undefined on input line 284.


LaTeX Warning: Citation `Brown-conversation' on page xiv undefined on input lin
e 343.


LaTeX Warning: Citation `DEDavis-conversation' on page xiv undefined on input l
ine 344.


Underfull \vbox (badness 1418) has occurred while \output is active
)

(./intro.tex
Chapter 1.

LaTeX Warning: Reference `alggeo:223:25' on page 1 undefined on input line 18.

Preview: Tightpage -32891 -32891 32891 32891
[1]

LaTeX Warning: Reference `alggeo:223:35' on page 1 undefined on input line 49.

[2]

LaTeX Warning: Reference `alggeo:pythag' on page 1 undefined on input line 99.



LaTeX Warning: Citation `def-applied-math' on page 2 undefined on input line 13
5.



LaTeX Warning: Citation `Webster1913' on page 3 undefined on input line 189.


LaTeX Warning: Citation `Wilson' on page 3 undefined on input line 197.


LaTeX Warning: Citation `Hilbert:geometrie' on page 3 undefined on input line 2
09.


LaTeX Warning: Citation `Hersh-book' on page 3 undefined on input line 209.


LaTeX Warning: Citation `Weierstrass:werke' on page 3 undefined on input line 2
15.



LaTeX Warning: Reference `cexp' on page 4 undefined on input line 279.


LaTeX Warning: Reference `fouri' on page 4 undefined on input line 279.


LaTeX Warning: Citation `mathbios' on page 4 undefined on input line 284.


LaTeX Warning: Citation `Courant/Hilbert' on page 4 undefined on input line 301
.



LaTeX Warning: Citation `Pinter' on page 5 undefined on input line 309.


LaTeX Warning: Citation `Shilov' on page 5 undefined on input line 320.


LaTeX Warning: Citation `Feferman' on page 5 undefined on input line 359.


LaTeX Warning: Citation `Shilov' on page 5 undefined on input line 359.


LaTeX Warning: Citation `Shilov' on page 5 undefined on input line 359.



LaTeX Warning: Citation `Bell/Korte' on page 6 undefined on input line 401.



LaTeX Warning: Citation `Weyl:1950' on page 7 undefined on input line 420.


LaTeX Warning: Citation `Spiegel' on page 7 undefined on input line 461.


LaTeX Warning: Citation `Hersh' on page 7 undefined on input line 474.


LaTeX Warning: Citation `Feser' on page 7 undefined on input line 477.



LaTeX Warning: Citation `Tymoczko:vat' on page 8 undefined on input line 499.


LaTeX Warning: Citation `Tymoczko' on page 8 undefined on input line 520.


LaTeX Warning: Citation `Carson/Huber' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Courant/Hilbert' on page 8 undefined on input line 546
.


LaTeX Warning: Citation `Feferman' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Frege' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Hamming' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Hardy' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Hersh' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Knopp' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Krader' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Lebedev' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Pinter' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Shilov' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Sieg/Schlimm' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Toader' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Tymoczko' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Tymoczko:vat' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Watson' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Weierstrass:werke' on page 8 undefined on input line 5
46.


LaTeX Warning: Citation `Weiner' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Weyl:1950' on page 8 undefined on input line 546.


LaTeX Warning: Citation `Whitehead/Russell' on page 8 undefined on input line 5
54.



LaTeX Warning: Citation `Wittgenstein-lectures' on page 9 undefined on input li
ne 572.


LaTeX Warning: Citation `Noe' on page 9 undefined on input line 592.



LaTeX Warning: Citation `Plato' on page 10 undefined on input line 632.


LaTeX Warning: Citation `Suppes' on page 10 undefined on input line 671.


LaTeX Warning: Citation `Wilson' on page 10 undefined on input line 671.


LaTeX Warning: Citation `Dasgupta' on page 10 undefined on input line 671.



LaTeX Warning: Citation `Scholz' on page 11 undefined on input line 677.


LaTeX Warning: Citation `Weyl:1918' on page 11 undefined on input line 699.


LaTeX Warning: Reference `intro:284.2:fn1' on page 11 undefined on input line 7
02.


LaTeX Warning: Citation `Bulmer' on page 11 undefined on input line 704.


LaTeX Warning: Citation `Shilov' on page 11 undefined on input line 733.



LaTeX Warning: Citation `Hamming' on page 12 undefined on input line 808.



LaTeX Warning: Reference `cexp:230' on page 13 undefined on input line 842.


LaTeX Warning: Reference `intro:284:fig' on page 13 undefined on input line 850
.

[3]

LaTeX Warning: Reference `intro:284.2' on page 14 undefined on input line 957.


LaTeX Warning: Citation `Frege' on page 14 undefined on input line 977.


LaTeX Warning: Citation `Suppes/Hill' on page 14 undefined on input line 977.


LaTeX Warning: Citation `Weiner' on page 14 undefined on input line 977.



LaTeX Warning: Reference `alggeo:225' on page 15 undefined on input line 984.


LaTeX Warning: Reference `trig:278' on page 15 undefined on input line 984.


LaTeX Warning: Reference `trig:280' on page 15 undefined on input line 984.


LaTeX Warning: Reference `drvtv:230.35' on page 15 undefined on input line 985.



LaTeX Warning: Reference `drvtv:240' on page 15 undefined on input line 985.


LaTeX Warning: Reference `noth:320' on page 15 undefined on input line 985.


LaTeX Warning: Reference `inttx:250' on page 15 undefined on input line 985.


LaTeX Warning: Reference `inttx:260' on page 15 undefined on input line 986.


LaTeX Warning: Reference `cexp' on page 15 undefined on input line 986.


LaTeX Warning: Reference `taylor' on page 15 undefined on input line 986.


LaTeX Warning: Citation `Arnold:1997' on page 15 undefined on input line 996.


LaTeX Warning: Citation `Shilov' on page 15 undefined on input line 996.


LaTeX Warning: Citation `Fisher' on page 15 undefined on input line 996.


LaTeX Warning: Citation `Spiegel' on page 15 undefined on input line 996.


LaTeX Warning: Citation `Hildebrand' on page 15 undefined on input line 996.


LaTeX Warning: Reference `taylor' on page 15 undefined on input line 1004.


LaTeX Warning: Reference `taylor:320:fn10' on page 15 undefined on input line 1
004.


LaTeX Warning: Reference `purec' on page 15 undefined on input line 1008.


LaTeX Warning: Reference `hex' on page 15 undefined on input line 1015.


LaTeX Warning: Reference `greek' on page 15 undefined on input line 1017.


LaTeX Warning: Citation `GPL' on page 15 undefined on input line 1026.


LaTeX Warning: Citation `DFSG' on page 15 undefined on input line 1028.


LaTeX Warning: Citation `OSD' on page 15 undefined on input line 1028.


)


(./alggeo.tex
Chapter 2.

LaTeX Warning: Reference `alggeo:222:table' on page 19 undefined on input line 
63.


LaTeX Warning: Citation `Shilov' on page 19 undefined on input line 65.


LaTeX Warning: Citation `Spiegel' on page 19 undefined on input line 65.


LaTeX Warning: Reference `alggeo:225' on page 19 undefined on input line 68.


LaTeX Warning: Reference `alggeo:222:20' on page 19 undefined on input line 91.


[4]

LaTeX Warning: Reference `vector:220.30' on page 20 undefined on input line 177
.




LaTeX Warning: Reference `alggeo:224power' on page 22 undefined on input line 2
46.



LaTeX Warning: Reference `alggeo:225' on page 23 undefined on input line 335.


LaTeX Warning: Reference `greek' on page 23 undefined on input line 355.



LaTeX Warning: Reference `alggeo:240:quad' on page 24 undefined on input line 3
94.


LaTeX Warning: Reference `alggeo:240:50' on page 24 undefined on input line 399
.


LaTeX Warning: Reference `alggeo:240:quad' on page 24 undefined on input line 4
07.


LaTeX Warning: Reference `alggeo:240:quad' on page 24 undefined on input line 4
28.


LaTeX Warning: Reference `alggeo:240:quad' on page 24 undefined on input line 4
28.


LaTeX Warning: Reference `alggeo:240:quadeq' on page 24 undefined on input line
 428.


LaTeX Warning: Reference `cubic' on page 24 undefined on input line 431.


LaTeX Warning: Reference `cubic:cubic-table' on page 24 undefined on input line
 432.


LaTeX Warning: Reference `cubic:quartic-table' on page 24 undefined on input li
ne 432.



LaTeX Warning: Reference `hex' on page 25 undefined on input line 470.


LaTeX Warning: Reference `integ:240' on page 25 undefined on input line 487.


LaTeX Warning: Reference `drvtv:250.30' on page 25 undefined on input line 491.



LaTeX Warning: Reference `taylor' on page 25 undefined on input line 491.



LaTeX Warning: Reference `matrix:120.10' on page 26 undefined on input line 516
.


LaTeX Warning: Reference `alggeo:224' on page 26 undefined on input line 558.


LaTeX Warning: Reference `alggeo:225' on page 26 undefined on input line 580.


LaTeX Warning: Reference `greek' on page 26 undefined on input line 585.



LaTeX Warning: Reference `alggeo:227' on page 27 undefined on input line 602.


LaTeX Warning: Reference `alggeo:228.30' on page 27 undefined on input line 622
.


LaTeX Warning: Reference `alggeo:224:t1' on page 27 undefined on input line 631
.



LaTeX Warning: Reference `alggeo:225' on page 28 undefined on input line 660.


LaTeX Warning: Reference `alggeo:224:30' on page 28 undefined on input line 665
.


Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `alggeo:222.40' on page 29 undefined on input line 687
.


LaTeX Warning: Reference `alggeo:224:2' on page 29 undefined on input line 743.




LaTeX Warning: Reference `alggeo:224:2' on page 30 undefined on input line 798.



LaTeX Warning: Reference `alggeo:224:12' on page 30 undefined on input line 804
.



LaTeX Warning: Reference `alggeo:224:12' on page 31 undefined on input line 807
.


LaTeX Warning: Reference `alggeo:224pppp' on page 31 undefined on input line 80
8.


LaTeX Warning: Reference `alggeo:224:5' on page 31 undefined on input line 830.



LaTeX Warning: Reference `alggeo:224:2a' on page 31 undefined on input line 837
.


LaTeX Warning: Reference `alggeo:224roots' on page 31 undefined on input line 8
50.



LaTeX Warning: Reference `alggeo:224:2' on page 32 undefined on input line 858.



LaTeX Warning: Reference `alggeo:224:2' on page 32 undefined on input line 863.



LaTeX Warning: Reference `alggeo:224:12' on page 32 undefined on input line 863
.


LaTeX Warning: Reference `alggeo:224:5' on page 32 undefined on input line 865.



LaTeX Warning: Reference `alggeo:224:1' on page 32 undefined on input line 883.



LaTeX Warning: Reference `alggeo:224:4' on page 32 undefined on input line 883.



LaTeX Warning: Reference `alggeo:224:4a' on page 32 undefined on input line 884
.


LaTeX Warning: Reference `alggeo:224:6' on page 32 undefined on input line 901.



LaTeX Warning: Reference `alggeo:224:7' on page 32 undefined on input line 905.



LaTeX Warning: Reference `alggeo:224:t1' on page 32 undefined on input line 913
.


LaTeX Warning: Reference `alggeo:224:t1' on page 32 undefined on input line 913
.



LaTeX Warning: Reference `alggeo:225' on page 33 undefined on input line 916.


LaTeX Warning: Reference `trig:280' on page 33 undefined on input line 916.


LaTeX Warning: Reference `cexp' on page 33 undefined on input line 917.


LaTeX Warning: Reference `alggeo:225' on page 33 undefined on input line 919.


LaTeX Warning: Reference `alggeo:225' on page 33 undefined on input line 936.


LaTeX Warning: Reference `alggeo:222.6' on page 33 undefined on input line 941.



LaTeX Warning: Reference `alggeo:228:05' on page 33 undefined on input line 102
9.


LaTeX Warning: Reference `alggeo:228:05' on page 33 undefined on input line 102
9.


LaTeX Warning: Reference `taylor:380' on page 33 undefined on input line 1029.


LaTeX Warning: Reference `alggeo:228:05' on page 33 undefined on input line 102
9.


LaTeX Warning: Reference `alggeo:228:05' on page 33 undefined on input line 102
9.


LaTeX Warning: Reference `taylor' on page 33 undefined on input line 1029.


Underfull \vbox (badness 2189) has occurred while \output is active

Underfull \vbox (badness 4416) has occurred while \output is active


LaTeX Warning: Reference `alggeo:228.50' on page 35 undefined on input line 107
1.


LaTeX Warning: Reference `alggeo:228.30' on page 35 undefined on input line 109
3.


LaTeX Warning: Reference `alggeo:228:tbl-down' on page 35 undefined on input li
ne 1095.


LaTeX Warning: Reference `alggeo:228:tbl-up' on page 35 undefined on input line
 1096.


LaTeX Warning: Reference `alggeo:228.50' on page 35 undefined on input line 109
8.



LaTeX Warning: Reference `alggeo:228:20' on page 36 undefined on input line 112
0.


LaTeX Warning: Reference `alggeo:228:20' on page 36 undefined on input line 113
2.



LaTeX Warning: Reference `alggeo:228:20' on page 37 undefined on input line 115
8.


LaTeX Warning: Reference `alggeo:228:25' on page 37 undefined on input line 115
9.


LaTeX Warning: Reference `alggeo:228:20' on page 37 undefined on input line 116
1.


LaTeX Warning: Reference `alggeo:228:tbl-down' on page 37 undefined on input li
ne 1171.


LaTeX Warning: Citation `SRW' on page 37 undefined on input line 1173.


LaTeX Warning: Reference `alggeo:228.50' on page 37 undefined on input line 119
5.


LaTeX Warning: Reference `alggeo:228:tbl-down' on page 37 undefined on input li
ne 1200.


LaTeX Warning: Reference `alggeo:228:37' on page 37 undefined on input line 124
5.


LaTeX Warning: Reference `alggeo:228:25' on page 37 undefined on input line 124
5.


LaTeX Warning: Reference `alggeo:228:37' on page 37 undefined on input line 124
5.


LaTeX Warning: Reference `alggeo:228:37' on page 37 undefined on input line 127
5.


LaTeX Warning: Reference `alggeo:228:tbl-down' on page 37 undefined on input li
ne 1275.




LaTeX Warning: Reference `alggeo:228:tbl-down' on page 39 undefined on input li
ne 1277.


LaTeX Warning: Reference `alggeo:228:tbl-up' on page 39 undefined on input line
 1283.


LaTeX Warning: Reference `alggeo:228.20' on page 39 undefined on input line 131
4.


LaTeX Warning: Citation `Kohler-lecture' on page 39 undefined on input line 131
6.


LaTeX Warning: Citation `Fisher' on page 39 undefined on input line 1316.




LaTeX Warning: Reference `alggeo:228:60' on page 41 undefined on input line 133
2.


LaTeX Warning: Reference `alggeo:228:prod' on page 41 undefined on input line 1
338.


LaTeX Warning: Reference `alggeo:228:65' on page 41 undefined on input line 136
3.


LaTeX Warning: Reference `alggeo:228:tbl-down' on page 41 undefined on input li
ne 1369.


LaTeX Warning: Reference `alggeo:228:tbl-up' on page 41 undefined on input line
 1369.


LaTeX Warning: Reference `alggeo:228:65' on page 41 undefined on input line 137
2.


LaTeX Warning: Reference `alggeo:228:45' on page 41 undefined on input line 137
5.


LaTeX Warning: Reference `alggeo:228:fn1' on page 41 undefined on input line 13
78.


LaTeX Warning: Reference `alggeo:228:65' on page 41 undefined on input line 138
0.



LaTeX Warning: Reference `alggeo:228:20' on page 42 undefined on input line 138
6.


LaTeX Warning: Reference `alggeo:228:68' on page 42 undefined on input line 139
0.


LaTeX Warning: Reference `alggeo:228:20' on page 42 undefined on input line 139
1.


LaTeX Warning: Reference `alggeo:228.20' on page 42 undefined on input line 140
3.


LaTeX Warning: Reference `alggeo:228.50' on page 42 undefined on input line 140
4.


LaTeX Warning: Reference `alggeo:228:40' on page 42 undefined on input line 142
1.


LaTeX Warning: Reference `alggeo:229' on page 42 undefined on input line 1422.



LaTeX Warning: Reference `alggeo:228.20' on page 43 undefined on input line 145
4.


LaTeX Warning: Reference `alggeo:228.30' on page 43 undefined on input line 145
5.


LaTeX Warning: Citation `McMahon' on page 43 undefined on input line 1462.


LaTeX Warning: Reference `alggeo:228:45' on page 43 undefined on input line 147
3.


LaTeX Warning: Reference `drvtv' on page 43 undefined on input line 1483.


LaTeX Warning: Reference `alggeo:228:80' on page 43 undefined on input line 148
9.


LaTeX Warning: Reference `alggeo:224int:fn1' on page 43 undefined on input line
 1489.



LaTeX Warning: Reference `drvtv' on page 44 undefined on input line 1494.


LaTeX Warning: Reference `alggeo:228:80' on page 44 undefined on input line 150
2.


LaTeX Warning: Reference `drvtv' on page 44 undefined on input line 1502.


LaTeX Warning: Reference `drvtv' on page 44 undefined on input line 1502.


LaTeX Warning: Reference `drvtv:250:fn1' on page 44 undefined on input line 150
2.


LaTeX Warning: Reference `taylor:314' on page 44 undefined on input line 1503.


LaTeX Warning: Citation `Russell:1903' on page 44 undefined on input line 1565.



LaTeX Warning: Reference `alggeo:250' on page 44 undefined on input line 1565.


LaTeX Warning: Reference `alggeo:225' on page 44 undefined on input line 1565.



LaTeX Warning: Reference `inttx:240' on page 45 undefined on input line 1608.



LaTeX Warning: Reference `alggeo:227' on page 46 undefined on input line 1615.


LaTeX Warning: Reference `alggeo:227' on page 46 undefined on input line 1624.


LaTeX Warning: Reference `integ:240' on page 46 undefined on input line 1624.


LaTeX Warning: Reference `alggeo:224' on page 46 undefined on input line 1633.


LaTeX Warning: Reference `alggeo:231' on page 46 undefined on input line 1634.



LaTeX Warning: Reference `alggeo:230:310' on page 47 undefined on input line 16
89.


LaTeX Warning: Reference `alggeo:230:311' on page 47 undefined on input line 16
97.


LaTeX Warning: Reference `alggeo:230:315' on page 47 undefined on input line 16
98.


LaTeX Warning: Reference `alggeo:230:316' on page 47 undefined on input line 16
98.


LaTeX Warning: Reference `alggeo:230:318' on page 47 undefined on input line 17
09.


LaTeX Warning: Reference `alggeo:230:310' on page 47 undefined on input line 17
18.


LaTeX Warning: Reference `alggeo:230:318' on page 47 undefined on input line 17
19.


LaTeX Warning: Reference `alggeo:230:tbl' on page 47 undefined on input line 17
22.


LaTeX Warning: Reference `alggeo:230:logdef' on page 47 undefined on input line
 1723.


LaTeX Warning: Reference `alggeo:230:logdef2' on page 47 undefined on input lin
e 1723.


LaTeX Warning: Reference `alggeo:230:315' on page 47 undefined on input line 17
24.


LaTeX Warning: Reference `alggeo:230:316' on page 47 undefined on input line 17
25.


LaTeX Warning: Reference `alggeo:2235' on page 47 undefined on input line 1754.




LaTeX Warning: Reference `intro:284:fig' on page 48 undefined on input line 177
4.


LaTeX Warning: Reference `intro:284:fig' on page 48 undefined on input line 177
4.


Underfull \vbox (badness 3158) has occurred while \output is active

LaTeX Warning: Reference `alggeo:323:20' on page 49 undefined on input line 180
4.


LaTeX Warning: Reference `mtxinv:447' on page 49 undefined on input line 1809.


LaTeX Warning: Reference `trig:226' on page 49 undefined on input line 1840.


LaTeX Warning: Reference `trig:260' on page 49 undefined on input line 1840.


LaTeX Warning: Reference `taylor:355' on page 49 undefined on input line 1840.


LaTeX Warning: Reference `hex' on page 49 undefined on input line 1840.


LaTeX Warning: Reference `trig:260:fn1' on page 49 undefined on input line 1840
.


LaTeX Warning: Reference `trig' on page 49 undefined on input line 1840.


LaTeX Warning: Reference `alggeo:323:f70' on page 49 undefined on input line 18
50.

[5]

LaTeX Warning: Reference `alggeo:227' on page 50 undefined on input line 1907.


LaTeX Warning: Reference `alggeo:323:50' on page 50 undefined on input line 193
0.


LaTeX Warning: Reference `alggeo:323:60' on page 50 undefined on input line 193
1.


LaTeX Warning: Reference `cexp:euler' on page 50 undefined on input line 1938.


LaTeX Warning: Reference `integ:antider' on page 50 undefined on input line 194
1.


LaTeX Warning: Reference `taylor:cauchy' on page 50 undefined on input line 194
2.


LaTeX Warning: Reference `fouri:eqn' on page 50 undefined on input line 1942.


LaTeX Warning: Reference `intro' on page 50 undefined on input line 1957.


LaTeX Warning: Reference `intro' on page 50 undefined on input line 1977.


LaTeX Warning: Citation `wikip' on page 50 undefined on input line 1977.


LaTeX Warning: Reference `intro' on page 50 undefined on input line 1977.


LaTeX Warning: Reference `intro' on page 50 undefined on input line 1977.


LaTeX Warning: Citation `wikip' on page 50 undefined on input line 1977.


LaTeX Warning: Reference `alggeo:223:37' on page 50 undefined on input line 197
8.

[6]

LaTeX Warning: Reference `alggeo:323:50' on page 50 undefined on input line 204
5.



LaTeX Warning: Reference `alggeo:2235' on page 51 undefined on input line 2054.




LaTeX Warning: Reference `alggeo:pythag' on page 52 undefined on input line 207
4.


LaTeX Warning: Reference `alggeo:pythag' on page 52 undefined on input line 210
0.


LaTeX Warning: Reference `alggeo:223:40' on page 52 undefined on input line 210
2.


LaTeX Warning: Citation `Euclid' on page 52 undefined on input line 2142.


LaTeX Warning: Reference `alggeo:2235:fig' on page 52 undefined on input line 2
149.

[7]

LaTeX Warning: Reference `alggeo:2235.20' on page 53 undefined on input line 22
04.


LaTeX Warning: Reference `alggeo:2235.30' on page 53 undefined on input line 22
20.


LaTeX Warning: Reference `alggeo:2235.32' on page 53 undefined on input line 22
20.


LaTeX Warning: Reference `alggeo:2235.30' on page 53 undefined on input line 22
24.


LaTeX Warning: Reference `alggeo:2235.32' on page 53 undefined on input line 22
24.


LaTeX Warning: Reference `alggeo:2235.34' on page 53 undefined on input line 22
25.



LaTeX Warning: Reference `alggeo:2235:fig' on page 54 undefined on input line 2
245.


LaTeX Warning: Citation `Shilov' on page 54 undefined on input line 2257.


LaTeX Warning: Reference `intro' on page 54 undefined on input line 2260.


LaTeX Warning: Reference `alggeo:223' on page 54 undefined on input line 2284.


LaTeX Warning: Reference `alggeo:2235:fig' on page 54 undefined on input line 2
286.


LaTeX Warning: Reference `alggeo:223:37' on page 54 undefined on input line 229
0.



LaTeX Warning: Reference `alggeo:323:50' on page 55 undefined on input line 233
2.


LaTeX Warning: Reference `alggeo:2235:fig' on page 55 undefined on input line 2
340.

[8]

LaTeX Warning: Reference `alggeo:2235:fig' on page 55 undefined on input line 2
423.


LaTeX Warning: Reference `trig:270' on page 55 undefined on input line 2427.


LaTeX Warning: Reference `matrix:120' on page 55 undefined on input line 2437.


LaTeX Warning: Reference `taylor:370' on page 55 undefined on input line 2437.



LaTeX Warning: Reference `taylor:320' on page 56 undefined on input line 2471.


LaTeX Warning: Reference `inttx:260.20' on page 56 undefined on input line 2514
.



LaTeX Warning: Reference `taylor:325' on page 57 undefined on input line 2526.


LaTeX Warning: Reference `alggeo:224roots' on page 57 undefined on input line 2
558.


LaTeX Warning: Reference `alggeo:225:i' on page 57 undefined on input line 2566
.


LaTeX Warning: Citation `Feser' on page 57 undefined on input line 2595.


LaTeX Warning: Citation `Frege' on page 57 undefined on input line 2595.


LaTeX Warning: Reference `alggeo:225:fig' on page 57 undefined on input line 25
99.

[9]

LaTeX Warning: Reference `alggeo:225:fig' on page 58 undefined on input line 26
92.


LaTeX Warning: Reference `alggeo:223' on page 58 undefined on input line 2693.


LaTeX Warning: Reference `trig:226' on page 58 undefined on input line 2704.


LaTeX Warning: Reference `trig:226:fn1' on page 58 undefined on input line 2710
.


LaTeX Warning: Reference `trig' on page 58 undefined on input line 2710.



LaTeX Warning: Reference `alggeo:225:23' on page 59 undefined on input line 276
2.


LaTeX Warning: Citation `Feynman' on page 59 undefined on input line 2775.


LaTeX Warning: Reference `alggeo:225:10' on page 59 undefined on input line 277
6.


LaTeX Warning: Reference `trig:280' on page 59 undefined on input line 2777.


LaTeX Warning: Citation `WADavis-conversation' on page 59 undefined on input li
ne 2795.


LaTeX Warning: Citation `Feynman' on page 59 undefined on input line 2795.



LaTeX Warning: Reference `taylor:314' on page 60 undefined on input line 2850.


LaTeX Warning: Citation `Hamming' on page 60 undefined on input line 2850.


LaTeX Warning: Reference `alggeo:225:10' on page 60 undefined on input line 285
5.



LaTeX Warning: Reference `alggeo:225:21' on page 61 undefined on input line 286
2.


LaTeX Warning: Reference `alggeo:225:22' on page 61 undefined on input line 286
2.


LaTeX Warning: Reference `alggeo:225:conj' on page 61 undefined on input line 2
875.


LaTeX Warning: Reference `alggeo:225:conj2' on page 61 undefined on input line 
2882.


LaTeX Warning: Citation `Hamming' on page 61 undefined on input line 2889.


LaTeX Warning: Citation `Spiegel' on page 61 undefined on input line 2889.


LaTeX Warning: Reference `alggeo:225:laurent' on page 61 undefined on input lin
e 2897.


LaTeX Warning: Citation `Hildebrand' on page 61 undefined on input line 2898.


LaTeX Warning: Reference `alggeo:225:laurent' on page 61 undefined on input lin
e 2915.


LaTeX Warning: Reference `taylor:310' on page 61 undefined on input line 2915.


LaTeX Warning: Reference `fours' on page 61 undefined on input line 2923.



LaTeX Warning: Reference `alggeo:225:conj' on page 62 undefined on input line 2
925.


LaTeX Warning: Reference `alggeo:225:conj2' on page 62 undefined on input line 
2926.


LaTeX Warning: Reference `taylor:320' on page 62 undefined on input line 2939.


LaTeX Warning: Reference `drvtv' on page 62 undefined on input line 2941.


LaTeX Warning: Reference `taylor' on page 62 undefined on input line 2944.


LaTeX Warning: Reference `integ:670' on page 62 undefined on input line 2956.


LaTeX Warning: Reference `taylor' on page 62 undefined on input line 2959.


LaTeX Warning: Reference `trig:280' on page 62 undefined on input line 2961.


LaTeX Warning: Reference `drvtv:230.35' on page 62 undefined on input line 2961
.


LaTeX Warning: Reference `drvtv:240' on page 62 undefined on input line 2962.


LaTeX Warning: Reference `cexp' on page 62 undefined on input line 2963.

)
(./trig.tex
Chapter 3.

LaTeX Warning: Reference `trig:226:f1' on page 63 undefined on input line 19.


LaTeX Warning: Reference `taylor:355' on page 63 undefined on input line 59.

[10]

LaTeX Warning: Reference `alggeo:223' on page 64 undefined on input line 200.


LaTeX Warning: Reference `intro' on page 64 undefined on input line 201.



LaTeX Warning: Reference `trig:226:sinusoid' on page 65 undefined on input line
 212.


LaTeX Warning: Reference `alggeo:225' on page 65 undefined on input line 217.


LaTeX Warning: Reference `alggeo' on page 65 undefined on input line 217.


LaTeX Warning: Reference `alggeo:225:fn1' on page 65 undefined on input line 21
7.

[11]

LaTeX Warning: Reference `trig:226:f1' on page 65 undefined on input line 262.


LaTeX Warning: Reference `trig:226:10' on page 65 undefined on input line 262.


LaTeX Warning: Reference `trig:226:25' on page 65 undefined on input line 263.


LaTeX Warning: Reference `trig:228:table' on page 65 undefined on input line 26
4.


LaTeX Warning: Reference `alggeo:227' on page 65 undefined on input line 265.


LaTeX Warning: Reference `taylor:370' on page 65 undefined on input line 328.


LaTeX Warning: Reference `matrix' on page 65 undefined on input line 328.


LaTeX Warning: Reference `vector' on page 65 undefined on input line 328.


LaTeX Warning: Reference `trig:231' on page 65 undefined on input line 363.

[12]

LaTeX Warning: Reference `trig:231f3' on page 65 undefined on input line 406.

[13]


LaTeX Warning: Reference `matrix' on page 67 undefined on input line 549.


LaTeX Warning: Reference `alggeo:225:fig' on page 67 undefined on input line 55
3.


LaTeX Warning: Reference `trig:231f3' on page 67 undefined on input line 557.



LaTeX Warning: Reference `trig:231f3' on page 68 undefined on input line 614.


LaTeX Warning: Reference `trig:240' on page 68 undefined on input line 633.


LaTeX Warning: Reference `trig:277' on page 68 undefined on input line 633.


LaTeX Warning: Reference `vector' on page 68 undefined on input line 633.


LaTeX Warning: Reference `vcalc' on page 68 undefined on input line 634.



LaTeX Warning: Reference `trig:240f' on page 69 undefined on input line 668.

[14]

LaTeX Warning: Reference `trig:226' on page 69 undefined on input line 724.


LaTeX Warning: Reference `trig:240:12' on page 69 undefined on input line 738.


LaTeX Warning: Reference `trig:240:08' on page 69 undefined on input line 739.


LaTeX Warning: Reference `trig:240:rot' on page 69 undefined on input line 746.




LaTeX Warning: Reference `vector:210' on page 70 undefined on input line 763.


LaTeX Warning: Reference `trig:240' on page 70 undefined on input line 776.


LaTeX Warning: Reference `trig:240:rot2' on page 70 undefined on input line 788
.



LaTeX Warning: Reference `trig:228:table' on page 71 undefined on input line 83
5.


LaTeX Warning: Reference `trig:250:20' on page 71 undefined on input line 836.


LaTeX Warning: Reference `trig:250:20' on page 71 undefined on input line 844.


LaTeX Warning: Reference `trig:250:22' on page 71 undefined on input line 844.


LaTeX Warning: Reference `trig:250:20' on page 71 undefined on input line 853.


LaTeX Warning: Reference `trig:250:22' on page 71 undefined on input line 854.


LaTeX Warning: Reference `trig:footnote10' on page 71 undefined on input line 8
59.


LaTeX Warning: Reference `trig:250:20' on page 71 undefined on input line 869.


LaTeX Warning: Reference `trig:250:22' on page 71 undefined on input line 870.


Underfull \vbox (badness 2707) has occurred while \output is active

LaTeX Warning: Reference `trig:250:22' on page 72 undefined on input line 898.


LaTeX Warning: Reference `trig:250:62' on page 72 undefined on input line 906.


LaTeX Warning: Reference `taylor' on page 72 undefined on input line 934.


LaTeX Warning: Citation `KRHB' on page 72 undefined on input line 983.


LaTeX Warning: Reference `trig260:fig1' on page 72 undefined on input line 984.


[15]

LaTeX Warning: Reference `trig:hourtable' on page 73 undefined on input line 10
21.


LaTeX Warning: Reference `trig:260:f1' on page 73 undefined on input line 1058.


[16]

LaTeX Warning: Reference `alggeo:323.30' on page 73 undefined on input line 111
4.


LaTeX Warning: Reference `alggeo:223' on page 73 undefined on input line 1120.


LaTeX Warning: Reference `intro' on page 73 undefined on input line 1121.


LaTeX Warning: Reference `trig:226:f1' on page 73 undefined on input line 1123.





LaTeX Warning: Reference `trig:250:20' on page 75 undefined on input line 1136.



LaTeX Warning: Reference `trig:250:22' on page 75 undefined on input line 1136.



LaTeX Warning: Reference `taylor:315' on page 75 undefined on input line 1146.


LaTeX Warning: Reference `trig:250:64' on page 75 undefined on input line 1151.



LaTeX Warning: Reference `trig:270:f1' on page 75 undefined on input line 1162.


[17]

LaTeX Warning: Reference `trig:270:f1' on page 76 undefined on input line 1250.



LaTeX Warning: Reference `trig:hourtable' on page 76 undefined on input line 12
76.


LaTeX Warning: Reference `trig:hourtable' on page 76 undefined on input line 12
76.


LaTeX Warning: Reference `trig:228:table' on page 76 undefined on input line 12
78.


LaTeX Warning: Reference `trig:228:table' on page 76 undefined on input line 12
78.


LaTeX Warning: Reference `trig:275:table' on page 76 undefined on input line 12
80.


LaTeX Warning: Reference `trig:275:table' on page 76 undefined on input line 12
80.


LaTeX Warning: Reference `trig:240' on page 76 undefined on input line 1282.


LaTeX Warning: Reference `trig:250' on page 76 undefined on input line 1282.


LaTeX Warning: Reference `trig:270' on page 76 undefined on input line 1282.


LaTeX Warning: Reference `trig:230' on page 76 undefined on input line 1324.




LaTeX Warning: Citation `wikip' on page 78 undefined on input line 1335.


LaTeX Warning: Reference `trig:231f3' on page 78 undefined on input line 1337.


LaTeX Warning: Reference `trig:231f3' on page 78 undefined on input line 1337.


LaTeX Warning: Reference `vector:230' on page 78 undefined on input line 1338.


LaTeX Warning: Reference `vector' on page 78 undefined on input line 1366.


LaTeX Warning: Reference `vcalc' on page 78 undefined on input line 1366.


LaTeX Warning: Reference `trig:fig-sphere' on page 78 undefined on input line 1
367.


LaTeX Warning: Reference `trig:277:20' on page 78 undefined on input line 1369.


[18]

LaTeX Warning: Reference `trig:277:30' on page 79 undefined on input line 1435.



Underfull \vbox (badness 1383) has occurred while \output is active

LaTeX Warning: Reference `vector:270' on page 80 undefined on input line 1472.


LaTeX Warning: Reference `alggeo:323:20' on page 80 undefined on input line 148
3.


LaTeX Warning: Reference `alggeo:323.20' on page 80 undefined on input line 148
8.


LaTeX Warning: Reference `alggeo:323.20' on page 80 undefined on input line 149
4.


LaTeX Warning: Reference `intro:284.1' on page 80 undefined on input line 1494.



LaTeX Warning: Reference `alggeo:225:fig' on page 80 undefined on input line 14
97.


LaTeX Warning: Reference `alggeo:225:fig' on page 80 undefined on input line 14
98.



LaTeX Warning: Reference `trig:278:triangle2' on page 81 undefined on input lin
e 1509.


LaTeX Warning: Reference `trig:278:triangle' on page 81 undefined on input line
 1510.


LaTeX Warning: Reference `mtxinv:447' on page 81 undefined on input line 1516.


LaTeX Warning: Reference `trig:278:triangle' on page 81 undefined on input line
 1522.


LaTeX Warning: Reference `trig:278:triangle' on page 81 undefined on input line
 1526.


LaTeX Warning: Reference `inttx:250:triangle' on page 81 undefined on input lin
e 1529.


LaTeX Warning: Reference `trig:278:triangle' on page 81 undefined on input line
 1529.


LaTeX Warning: Reference `taylor:316.30' on page 81 undefined on input line 153
0.


LaTeX Warning: Reference `alggeo:225:fig' on page 81 undefined on input line 15
45.


LaTeX Warning: Reference `alggeo:225:fig' on page 81 undefined on input line 15
46.


LaTeX Warning: Reference `trig:231' on page 81 undefined on input line 1547.


LaTeX Warning: Reference `trig:231' on page 81 undefined on input line 1547.


LaTeX Warning: Reference `alggeo:225:fig' on page 81 undefined on input line 15
50.


LaTeX Warning: Reference `alggeo:225:10' on page 81 undefined on input line 156
6.


LaTeX Warning: Reference `trig:280:11' on page 81 undefined on input line 1570.



LaTeX Warning: Reference `trig:250:22' on page 81 undefined on input line 1576.




LaTeX Warning: Reference `trig:280:20' on page 82 undefined on input line 1585.



LaTeX Warning: Reference `trig:280:20' on page 82 undefined on input line 1599.



LaTeX Warning: Reference `trig:280:22' on page 82 undefined on input line 1599.



LaTeX Warning: Reference `trig:280:24' on page 82 undefined on input line 1600.



LaTeX Warning: Reference `trig:280:24' on page 82 undefined on input line 1607.



LaTeX Warning: Citation `Spiegel' on page 82 undefined on input line 1607.


LaTeX Warning: Citation `wikip' on page 82 undefined on input line 1607.


LaTeX Warning: Reference `cexp:230' on page 82 undefined on input line 1609.


LaTeX Warning: Reference `cexp' on page 82 undefined on input line 1614.


LaTeX Warning: Reference `cexp:240' on page 82 undefined on input line 1617.

)
(./drvtv.tex
Chapter 4.

LaTeX Warning: Citation `Hamming' on page 83 undefined on input line 39.


Underfull \vbox (badness 1077) has occurred while \output is active

LaTeX Warning: Reference `intro:284' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Berkeley' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Courant/Hilbert' on page 84 undefined on input line 14
7.


LaTeX Warning: Citation `Dasgupta' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Fisher' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Frege' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Hardy' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Hersh' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Hersh-book' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Hilbert:geometrie' on page 84 undefined on input line 
147.


LaTeX Warning: Citation `Pinter' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Robinson' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Russell:1903' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Shilov' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Sieg/Schlimm' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Toader' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Tymoczko' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Weierstrass:werke' on page 84 undefined on input line 
147.


LaTeX Warning: Citation `Weiner' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Weyl:1918' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Weyl:1950' on page 84 undefined on input line 147.


LaTeX Warning: Citation `Wilson' on page 84 undefined on input line 147.


LaTeX Warning: Reference `hex' on page 84 undefined on input line 183.


LaTeX Warning: Reference `trig:260' on page 84 undefined on input line 183.




LaTeX Warning: Reference `prob' on page 86 undefined on input line 246.


LaTeX Warning: Citation `Hamming' on page 86 undefined on input line 250.



LaTeX Warning: Reference `drvtv:220:20' on page 87 undefined on input line 297.



LaTeX Warning: Reference `drvtv:220:tbl' on page 87 undefined on input line 306
.


LaTeX Warning: Reference `drvtv:220:20' on page 87 undefined on input line 306.



LaTeX Warning: Reference `drvtv:220:30' on page 87 undefined on input line 307.



LaTeX Warning: Reference `drvtv:220:30' on page 87 undefined on input line 330.



LaTeX Warning: Reference `drvtv:220:30' on page 87 undefined on input line 336.



LaTeX Warning: Reference `drvtv:220.30' on page 87 undefined on input line 337.



LaTeX Warning: Reference `drvtv:220:tbl' on page 87 undefined on input line 389
.


LaTeX Warning: Reference `drvtv:pasc0' on page 87 undefined on input line 396.


LaTeX Warning: Reference `drvtv:pasc' on page 87 undefined on input line 416.


LaTeX Warning: Reference `drvtv:220:tbl' on page 87 undefined on input line 418
.




LaTeX Warning: Reference `drvtv:230:binth' on page 89 undefined on input line 4
91.


LaTeX Warning: Reference `taylor:315:tbl' on page 89 undefined on input line 49
1.


Underfull \vbox (badness 10000) has occurred while \output is active


LaTeX Warning: Reference `drvtv:230:binthe' on page 91 undefined on input line 
500.


LaTeX Warning: Reference `drvtv:220' on page 91 undefined on input line 503.


LaTeX Warning: Reference `drvtv:230:binthe' on page 91 undefined on input line 
515.



LaTeX Warning: Reference `drvtv:230:apxex' on page 92 undefined on input line 5
53.


LaTeX Warning: Reference `taylor' on page 92 undefined on input line 555.


LaTeX Warning: Reference `drvtv:230:apxex' on page 92 undefined on input line 5
66.


LaTeX Warning: Reference `drvtv:230:apxe' on page 92 undefined on input line 57
6.


LaTeX Warning: Reference `drvtv:230:apxe' on page 92 undefined on input line 57
8.


LaTeX Warning: Reference `drvtv:230:apxex' on page 92 undefined on input line 5
79.


LaTeX Warning: Reference `drvtv:230:apxe' on page 92 undefined on input line 58
7.


LaTeX Warning: Reference `drvtv:230:apxex' on page 92 undefined on input line 6
08.



LaTeX Warning: Reference `cexp:230' on page 93 undefined on input line 613.


LaTeX Warning: Reference `drvtv:230:apxe' on page 93 undefined on input line 61
5.


LaTeX Warning: Reference `drvtv:230:apxe' on page 93 undefined on input line 62
9.


LaTeX Warning: Reference `drvtv:240.38' on page 93 undefined on input line 641.



LaTeX Warning: Reference `drvtv:defz' on page 93 undefined on input line 641.


LaTeX Warning: Reference `drvtv:defzunbal' on page 93 undefined on input line 6
41.


LaTeX Warning: Reference `drvtv:def' on page 93 undefined on input line 650.


LaTeX Warning: Reference `drvtv:defunbal' on page 93 undefined on input line 65
1.


LaTeX Warning: Reference `drvtv:def' on page 93 undefined on input line 656.


LaTeX Warning: Citation `Feynman' on page 93 undefined on input line 659.


LaTeX Warning: Citation `Cunningham' on page 93 undefined on input line 659.


LaTeX Warning: Reference `drvtv:def' on page 93 undefined on input line 661.


LaTeX Warning: Reference `drvtv:defz' on page 93 undefined on input line 663.


LaTeX Warning: Reference `drvtv:260' on page 93 undefined on input line 665.



LaTeX Warning: Reference `drvtv:def' on page 94 undefined on input line 677.


LaTeX Warning: Reference `drvtv:230:apxe' on page 94 undefined on input line 69
1.


LaTeX Warning: Reference `drvtv:240:polyderiv' on page 94 undefined on input li
ne 713.


LaTeX Warning: Citation `Andrews' on page 94 undefined on input line 713.


LaTeX Warning: Reference `drvtv:240:polyderiv' on page 94 undefined on input li
ne 714.


LaTeX Warning: Reference `drvtv:240:polyderiv' on page 94 undefined on input li
ne 720.


LaTeX Warning: Reference `drvtv:240.50' on page 94 undefined on input line 720.



LaTeX Warning: Reference `purec' on page 94 undefined on input line 735.



LaTeX Warning: Reference `drvtv:def' on page 95 undefined on input line 742.


LaTeX Warning: Reference `drvtv:230:apxe' on page 95 undefined on input line 76
8.


LaTeX Warning: Reference `drvtv:240:50' on page 95 undefined on input line 793.




LaTeX Warning: Reference `drvtv:240.25' on page 96 undefined on input line 812.



LaTeX Warning: Reference `vcalc' on page 96 undefined on input line 857.


LaTeX Warning: Reference `vcalc:440.cyl:grad' on page 96 undefined on input lin
e 857.


LaTeX Warning: Reference `drvtv:240.405' on page 96 undefined on input line 865
.


LaTeX Warning: Reference `drvtv:240.407' on page 96 undefined on input line 865
.


LaTeX Warning: Reference `integ' on page 96 undefined on input line 873.


LaTeX Warning: Reference `taylor:370' on page 96 undefined on input line 873.


LaTeX Warning: Reference `mtxinv:420' on page 96 undefined on input line 874.


LaTeX Warning: Reference `vcalc' on page 96 undefined on input line 874.


LaTeX Warning: Citation `Jothi/Srin' on page 96 undefined on input line 908.



LaTeX Warning: Reference `integ' on page 97 undefined on input line 919.


LaTeX Warning: Reference `integ' on page 97 undefined on input line 923.


LaTeX Warning: Citation `Bell:2006' on page 97 undefined on input line 984.



LaTeX Warning: Reference `intro:284.4' on page 98 undefined on input line 1046.



LaTeX Warning: Citation `vanAtten' on page 98 undefined on input line 1082.


LaTeX Warning: Citation `Bell:Cantor' on page 98 undefined on input line 1084.



LaTeX Warning: Citation `Bell:2006' on page 99 undefined on input line 1096.


LaTeX Warning: Reference `intro:284.4' on page 99 undefined on input line 1122.



LaTeX Warning: Reference `intro:284.45' on page 99 undefined on input line 1122
.


LaTeX Warning: Reference `drvtv:240.407fn1' on page 99 undefined on input line 
1124.


LaTeX Warning: Citation `Weyl:1918' on page 99 undefined on input line 1128.


LaTeX Warning: Citation `Scholz' on page 99 undefined on input line 1128.


LaTeX Warning: Citation `Robinson' on page 99 undefined on input line 1128.


LaTeX Warning: Citation `Bell:2006' on page 99 undefined on input line 1128.



LaTeX Warning: Reference `intro:284.4' on page 100 undefined on input line 1140
.


LaTeX Warning: Citation `Shilov' on page 100 undefined on input line 1185.


LaTeX Warning: Reference `intro:284' on page 100 undefined on input line 1192.


LaTeX Warning: Citation `Robinson' on page 100 undefined on input line 1210.



LaTeX Warning: Reference `drvtv:240.38' on page 101 undefined on input line 122
5.


LaTeX Warning: Citation `Robinson' on page 101 undefined on input line 1251.


LaTeX Warning: Citation `Derbyshire' on page 101 undefined on input line 1257.



LaTeX Warning: Reference `drvtv:def' on page 102 undefined on input line 1316.


LaTeX Warning: Reference `drvtv:def' on page 102 undefined on input line 1319.


LaTeX Warning: Reference `drvtv:def' on page 102 undefined on input line 1319.


LaTeX Warning: Reference `drvtv:def' on page 102 undefined on input line 1326.


LaTeX Warning: Reference `drvtv:defunbal' on page 102 undefined on input line 1
330.


LaTeX Warning: Reference `drvtv:defz' on page 102 undefined on input line 1337.



LaTeX Warning: Reference `drvtv:defzunbal' on page 102 undefined on input line 
1338.


LaTeX Warning: Reference `drvtv:def' on page 102 undefined on input line 1341.


LaTeX Warning: Reference `drvtv:defz' on page 102 undefined on input line 1341.



LaTeX Warning: Reference `taylor:320' on page 102 undefined on input line 1376.



LaTeX Warning: Citation `WTAng' on page 102 undefined on input line 1376.


LaTeX Warning: Reference `drvtv:defz' on page 102 undefined on input line 1377.



LaTeX Warning: Reference `alggeo:225' on page 102 undefined on input line 1379.



LaTeX Warning: Reference `drvtv:defz' on page 102 undefined on input line 1393.



LaTeX Warning: Reference `drvtv:defz' on page 102 undefined on input line 1396.



LaTeX Warning: Reference `drvtv:def' on page 102 undefined on input line 1397.


LaTeX Warning: Reference `drvtv:defz' on page 102 undefined on input line 1399.



LaTeX Warning: Reference `drvtv:defzunbal' on page 102 undefined on input line 
1399.



LaTeX Warning: Reference `drvtv:defz' on page 103 undefined on input line 1403.



LaTeX Warning: Reference `alggeo:225.3' on page 103 undefined on input line 141
0.


LaTeX Warning: Reference `integ:670' on page 103 undefined on input line 1411.


LaTeX Warning: Reference `drvtv:defz' on page 103 undefined on input line 1412.



LaTeX Warning: Reference `drvtv:230:apxe' on page 103 undefined on input line 1
417.


LaTeX Warning: Reference `drvtv:240:polyderiv' on page 103 undefined on input l
ine 1422.


LaTeX Warning: Reference `drvtv:240.20' on page 103 undefined on input line 143
4.


LaTeX Warning: Reference `drvtv:230:apxe' on page 103 undefined on input line 1
435.



LaTeX Warning: Reference `cexp:230' on page 104 undefined on input line 1461.


LaTeX Warning: Reference `cexp:230:33' on page 104 undefined on input line 1462
.


LaTeX Warning: Reference `drvtv:240.30:10' on page 104 undefined on input line 
1463.


LaTeX Warning: Reference `drvtv:defz' on page 104 undefined on input line 1469.



LaTeX Warning: Reference `drvtv:defzunbal' on page 104 undefined on input line 
1470.


LaTeX Warning: Citation `Robinson' on page 104 undefined on input line 1483.


LaTeX Warning: Reference `drvtv:defp' on page 104 undefined on input line 1485.



LaTeX Warning: Reference `drvtv:defpd' on page 104 undefined on input line 1485
.


LaTeX Warning: Reference `drvtv:defz' on page 104 undefined on input line 1487.



LaTeX Warning: Reference `drvtv:defzunbal' on page 104 undefined on input line 
1487.


LaTeX Warning: Reference `drvtv:240.405' on page 104 undefined on input line 14
90.


LaTeX Warning: Reference `drvtv:240.407' on page 104 undefined on input line 14
91.



LaTeX Warning: Reference `cexp:225' on page 105 undefined on input line 1531.


LaTeX Warning: Reference `drvtv:240.40:10' on page 105 undefined on input line 
1532.


LaTeX Warning: Reference `drvtv:chain' on page 105 undefined on input line 1576
.


Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `drvtv:chain' on page 106 undefined on input line 1580
.


LaTeX Warning: Reference `drvtv:240' on page 106 undefined on input line 1601.


LaTeX Warning: Citation `Spiegel' on page 106 undefined on input line 1601.


LaTeX Warning: Reference `drvtv:defz' on page 106 undefined on input line 1608.




LaTeX Warning: Reference `drvtv:chain' on page 107 undefined on input line 1646
.


LaTeX Warning: Reference `drvtv:prod' on page 107 undefined on input line 1664.



LaTeX Warning: Reference `cexp' on page 107 undefined on input line 1666.


LaTeX Warning: Reference `drvtv:prod' on page 107 undefined on input line 1667.




LaTeX Warning: Reference `drvtv:prod2' on page 108 undefined on input line 1704
.


LaTeX Warning: Reference `drvtv:240.30:10' on page 108 undefined on input line 
1704.


LaTeX Warning: Reference `vcalc:440' on page 108 undefined on input line 1716.


LaTeX Warning: Reference `alggeo:228.40' on page 108 undefined on input line 17
21.


LaTeX Warning: Reference `alggeo' on page 108 undefined on input line 1721.


LaTeX Warning: Reference `alggeo:228:fn2' on page 108 undefined on input line 1
721.


LaTeX Warning: Reference `drvtv:255:fig1' on page 108 undefined on input line 1
737.

[19]

LaTeX Warning: Reference `drvtv:255:10' on page 109 undefined on input line 177
2.


LaTeX Warning: Reference `drvtv:255:fig2' on page 109 undefined on input line 1
801.

[20]

LaTeX Warning: Reference `drvtv:255:fig2' on page 109 undefined on input line 1
837.



LaTeX Warning: Citation `wikip' on page 110 undefined on input line 1862.


LaTeX Warning: Reference `drvtv:240.30:10' on page 110 undefined on input line 
1881.



LaTeX Warning: Reference `trig' on page 111 undefined on input line 1941.


LaTeX Warning: Reference `cexp' on page 111 undefined on input line 1941.


LaTeX Warning: Reference `part30' on page 111 undefined on input line 1941.


LaTeX Warning: Reference `cexp' on page 111 undefined on input line 1947.


LaTeX Warning: Reference `cexp:225:dln' on page 111 undefined on input line 194
8.


LaTeX Warning: Reference `cexp' on page 111 undefined on input line 1954.


LaTeX Warning: Citation `Shenk' on page 111 undefined on input line 1959.


LaTeX Warning: Reference `cexp:228' on page 111 undefined on input line 1967.


LaTeX Warning: Reference `cexp:228' on page 111 undefined on input line 1969.



LaTeX Warning: Reference `drvtv:NR' on page 112 undefined on input line 1990.


LaTeX Warning: Reference `drvtv:270:fig1' on page 112 undefined on input line 1
995.

[21]

LaTeX Warning: Reference `drvtv:270:fig1' on page 112 undefined on input line 2
036.


LaTeX Warning: Reference `trig' on page 112 undefined on input line 2036.


LaTeX Warning: Reference `trig:226:f1' on page 112 undefined on input line 2036
.


LaTeX Warning: Reference `drvtv:NR' on page 112 undefined on input line 2051.



LaTeX Warning: Reference `drvtv:270:fig1' on page 113 undefined on input line 2
094.


LaTeX Warning: Reference `drvtv:NR' on page 113 undefined on input line 2108.


LaTeX Warning: Reference `drvtv:270:30' on page 113 undefined on input line 211
6.



LaTeX Warning: Reference `drvtv:270:30' on page 114 undefined on input line 214
6.


LaTeX Warning: Reference `drvtv:270:35' on page 114 undefined on input line 214
6.


LaTeX Warning: Reference `drvtv:270:fig1' on page 114 undefined on input line 2
146.


LaTeX Warning: Reference `trig:280:24' on page 114 undefined on input line 2146
.


LaTeX Warning: Reference `taylor:315:tbl' on page 114 undefined on input line 2
146.


LaTeX Warning: Reference `drvtv:270:35' on page 114 undefined on input line 214
6.


LaTeX Warning: Citation `Shenk' on page 114 undefined on input line 2146.


LaTeX Warning: Citation `Nayfeh/Bal' on page 114 undefined on input line 2146.


LaTeX Warning: Citation `EWW' on page 114 undefined on input line 2146.


LaTeX Warning: Reference `mtxinv:420' on page 114 undefined on input line 2151.



LaTeX Warning: Reference `taylor' on page 114 undefined on input line 2156.

)
(./cexp.tex
Chapter 5.

LaTeX Warning: Reference `trig' on page 115 undefined on input line 22.



LaTeX Warning: Reference `cexp:220:exp' on page 116 undefined on input line 63.



LaTeX Warning: Reference `cexp:220:dexp' on page 116 undefined on input line 82
.


LaTeX Warning: Reference `drvtv:defz' on page 116 undefined on input line 83.


LaTeX Warning: Reference `drvtv:230:apxex' on page 116 undefined on input line 
83.



LaTeX Warning: Reference `cexp:220:exp' on page 117 undefined on input line 133
.


LaTeX Warning: Reference `cexp:220:dexp' on page 117 undefined on input line 14
6.


LaTeX Warning: Reference `cexp:220:fig1' on page 117 undefined on input line 17
6.

[22]

LaTeX Warning: Reference `cexp:220:26' on page 118 undefined on input line 221.



LaTeX Warning: Reference `cexp:220:26' on page 118 undefined on input line 233.



LaTeX Warning: Reference `cexp:220:dexp' on page 118 undefined on input line 23
8.


LaTeX Warning: Reference `drvtv:240.40' on page 118 undefined on input line 239
.


LaTeX Warning: Reference `cexp:220:dexp' on page 118 undefined on input line 24
8.


LaTeX Warning: Reference `taylor:315:tbl' on page 118 undefined on input line 2
50.


LaTeX Warning: Citation `OEIS' on page 118 undefined on input line 251.


LaTeX Warning: Reference `taylor' on page 118 undefined on input line 256.


LaTeX Warning: Reference `cexp:230' on page 118 undefined on input line 269.


LaTeX Warning: Reference `cexp:220:econst' on page 118 undefined on input line 
270.



LaTeX Warning: Reference `cexp:225:fig2' on page 119 undefined on input line 28
7.

[23]

LaTeX Warning: Reference `cexp:220:dexp' on page 119 undefined on input line 33
2.


LaTeX Warning: Reference `alggeo:230:tbl' on page 119 undefined on input line 3
59.



LaTeX Warning: Citation `OEIS' on page 120 undefined on input line 366.


LaTeX Warning: Reference `taylor' on page 120 undefined on input line 370.


LaTeX Warning: Reference `taylor:315:tbl' on page 120 undefined on input line 3
70.


LaTeX Warning: Reference `drvtv:260:lhopital' on page 120 undefined on input li
ne 388.


LaTeX Warning: Reference `cexp:228:50' on page 120 undefined on input line 412.




LaTeX Warning: Reference `cexp:228:50' on page 121 undefined on input line 466.



LaTeX Warning: Reference `cexp:225:fig2' on page 121 undefined on input line 47
8.



LaTeX Warning: Reference `cexp:228:55' on page 122 undefined on input line 506.



LaTeX Warning: Reference `cexp:228:50' on page 122 undefined on input line 511.



LaTeX Warning: Reference `cexp:228:55' on page 122 undefined on input line 511.



Overfull \hbox (10.3507pt too wide) in paragraph at lines 510--516
[]\OT1/cmr/m/n/10.95 It be-fits an ap-plied math-e-mati-cian to in-ter-nal-ize 
sub-jec-tively ([]) and ([]),

LaTeX Warning: Reference `cexp:220' on page 122 undefined on input line 531.


LaTeX Warning: Reference `alggeo:225' on page 122 undefined on input line 537.


LaTeX Warning: Reference `drvtv:230:apxe' on page 122 undefined on input line 5
39.



LaTeX Warning: Reference `cexp:220' on page 123 undefined on input line 559.


LaTeX Warning: Reference `alggeo:231' on page 123 undefined on input line 574.


LaTeX Warning: Reference `cexp:230:fig' on page 123 undefined on input line 587
.

[24]

LaTeX Warning: Reference `cexp:230fn1' on page 124 undefined on input line 706.




LaTeX Warning: Reference `trig:280' on page 125 undefined on input line 740.


LaTeX Warning: Reference `alggeo:pythag' on page 125 undefined on input line 74
6.


LaTeX Warning: Reference `integ:antider' on page 125 undefined on input line 74
7.


LaTeX Warning: Reference `taylor:cauchy' on page 125 undefined on input line 74
8.


LaTeX Warning: Reference `fouri:eqn' on page 125 undefined on input line 751.


LaTeX Warning: Reference `cexp:euler' on page 125 undefined on input line 751.


LaTeX Warning: Reference `cexp:euler' on page 125 undefined on input line 765.


LaTeX Warning: Reference `taylor:315:tbl' on page 125 undefined on input line 7
65.


LaTeX Warning: Reference `cexp:euler' on page 125 undefined on input line 765.


LaTeX Warning: Reference `cexp:230:fig' on page 125 undefined on input line 768
.


LaTeX Warning: Reference `cexp:euler' on page 125 undefined on input line 768.



LaTeX Warning: Reference `cexp:230:33' on page 126 undefined on input line 800.



LaTeX Warning: Reference `cexp:euler' on page 126 undefined on input line 805.


LaTeX Warning: Reference `cexp:euler' on page 126 undefined on input line 836.


LaTeX Warning: Reference `alggeo:224:t1' on page 126 undefined on input line 84
4.


LaTeX Warning: Reference `trig:280' on page 126 undefined on input line 855.


LaTeX Warning: Reference `cexp:euler' on page 126 undefined on input line 865.



LaTeX Warning: Reference `cexp:250:cos' on page 127 undefined on input line 894
.


LaTeX Warning: Reference `cexp:250:sin' on page 127 undefined on input line 894
.


LaTeX Warning: Reference `trig:226:25' on page 127 undefined on input line 903.



LaTeX Warning: Reference `cexp:250:cos' on page 127 undefined on input line 904
.


LaTeX Warning: Reference `cexp:250:sin' on page 127 undefined on input line 904
.


LaTeX Warning: Reference `cexp:250:cosh' on page 127 undefined on input line 90
5.


LaTeX Warning: Reference `cexp:250:sinh' on page 127 undefined on input line 90
5.


LaTeX Warning: Reference `cexp:230:fig' on page 127 undefined on input line 914
.


LaTeX Warning: Reference `cexp:250:cos' on page 127 undefined on input line 916
.


LaTeX Warning: Reference `cexp:250:sinh' on page 127 undefined on input line 91
6.


LaTeX Warning: Reference `cexp:250:pythag' on page 127 undefined on input line 
919.


LaTeX Warning: Reference `vector' on page 127 undefined on input line 944.


LaTeX Warning: Reference `cexp:250:cos' on page 127 undefined on input line 944
.


LaTeX Warning: Reference `cexp:250:sinh' on page 127 undefined on input line 94
4.


LaTeX Warning: Reference `cexp:250:pythag' on page 127 undefined on input line 
944.


LaTeX Warning: Reference `trig:226:f1' on page 127 undefined on input line 944.



LaTeX Warning: Citation `Carson/Huber' on page 127 undefined on input line 944.



LaTeX Warning: Reference `trig:280' on page 127 undefined on input line 953.



LaTeX Warning: Reference `cexp:250:cos' on page 128 undefined on input line 961
.


LaTeX Warning: Reference `cexp:250:sin' on page 128 undefined on input line 961
.


LaTeX Warning: Reference `cexp:250:cosh' on page 128 undefined on input line 96
2.


LaTeX Warning: Reference `cexp:250:sinh' on page 128 undefined on input line 96
2.


LaTeX Warning: Reference `trig:228:table' on page 128 undefined on input line 9
72.


LaTeX Warning: Reference `trig:275:table' on page 128 undefined on input line 9
72.


LaTeX Warning: Citation `Spiegel' on page 128 undefined on input line 999.



LaTeX Warning: Reference `cexp:250:cos' on page 129 undefined on input line 100
8.


LaTeX Warning: Reference `alggeo:240:quad' on page 129 undefined on input line 
1023.



LaTeX Warning: Reference `cexp:tbl-prop' on page 130 undefined on input line 10
67.


LaTeX Warning: Reference `alggeo:225' on page 130 undefined on input line 1068.



LaTeX Warning: Reference `trig:280' on page 130 undefined on input line 1068.


LaTeX Warning: Reference `drvtv:240' on page 130 undefined on input line 1069.


LaTeX Warning: Reference `cexp:250:cos' on page 130 undefined on input line 115
0.


LaTeX Warning: Reference `cexp:250:sin' on page 130 undefined on input line 115
0.


LaTeX Warning: Reference `cexp:320:fig' on page 130 undefined on input line 115
5.


LaTeX Warning: Reference `greek' on page 130 undefined on input line 1160.

[25]


LaTeX Warning: Reference `cexp:320:31' on page 132 undefined on input line 1243
.


LaTeX Warning: Reference `cexp:320:32' on page 132 undefined on input line 1244
.


LaTeX Warning: Reference `cexp:220:dexp' on page 132 undefined on input line 12
62.


LaTeX Warning: Reference `cexp:320:12' on page 132 undefined on input line 1262
.


LaTeX Warning: Reference `cexp:250:pythag' on page 132 undefined on input line 
1264.


LaTeX Warning: Reference `drvtv:250' on page 132 undefined on input line 1266.


LaTeX Warning: Reference `cexp:drv' on page 132 undefined on input line 1267.


LaTeX Warning: Citation `Shenk' on page 132 undefined on input line 1268.


LaTeX Warning: Reference `cexp:drv' on page 132 undefined on input line 1334.




LaTeX Warning: Reference `cexp:225' on page 134 undefined on input line 1340.


LaTeX Warning: Reference `cexp:drvi' on page 134 undefined on input line 1363.


LaTeX Warning: Reference `cexp:drvi' on page 134 undefined on input line 1392.


LaTeX Warning: Reference `inttx:210' on page 134 undefined on input line 1393.



LaTeX Warning: Citation `mathbios' on page 135 undefined on input line 1413.


LaTeX Warning: Reference `cexp:250:cos' on page 135 undefined on input line 142
9.


LaTeX Warning: Reference `cexp:250:sin' on page 135 undefined on input line 143
0.


Underfull \vbox (badness 1062) has occurred while \output is active

LaTeX Warning: Reference `cexp:230:fig' on page 136 undefined on input line 143
9.


LaTeX Warning: Reference `alggeo:225.2' on page 136 undefined on input line 144
3.


LaTeX Warning: Reference `drvtv:270' on page 136 undefined on input line 1485.


Underfull \hbox (badness 2951) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 varying elec-tric cur-rent of $(5\OML/cmm/m/it/9 :\OT1/cmr/m/n/9
 0 []) []\OMS/cmsy/m/n/9 f\OT1/cmr/m/n/9 +\OML/cmm/m/it/9 i\OT1/cmr/m/n/9 (60 [
][])2\OML/cmm/m/it/9 ^^Yt\OMS/cmsy/m/n/9 g$\OT1/cmr/m/n/9 , an elec-tric ca-

Underfull \hbox (badness 2103) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 pac-i-tor de-vel-ops a voltage---that is, de-vel-ops an elec-tri
c ten-sion or potential---

Underfull \hbox (badness 7116) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 of $(40 []) []\OMS/cmsy/m/n/9 f\OT1/cmr/m/n/9 +\OML/cmm/m/it/9 i
\OT1/cmr/m/n/9 [(60 [][])2\OML/cmm/m/it/9 ^^Yt \OMS/cmsy/m/n/9 ^^@ \OT1/cmr/m/n
/9 2\OML/cmm/m/it/9 ^^Y=\OT1/cmr/m/n/9 4]\OMS/cmsy/m/n/9 g$\OT1/cmr/m/n/9 . It 
im-me-di-ately fol-lows, with-

Underfull \hbox (badness 2591) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 out fur-ther anal-y-sis, that the same ca-pac-i-tor, if fed by a
 time-varying elec-

Underfull \hbox (badness 1681) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 tric cur-rent of $(5\OML/cmm/m/it/9 :\OT1/cmr/m/n/9 0 []) []\OMS
/cmsy/m/n/9 f^^@\OML/cmm/m/it/9 i\OT1/cmr/m/n/9 (60 [][])2\OML/cmm/m/it/9 ^^Yt\
OMS/cmsy/m/n/9 g$\OT1/cmr/m/n/9 , would de-velop a volt-age of

LaTeX Warning: Citation `Stroustrup' on page 136 undefined on input line 1512.


LaTeX Warning: Citation `Feser' on page 136 undefined on input line 1516.


LaTeX Warning: Reference `cexp:euler' on page 136 undefined on input line 1523.



LaTeX Warning: Reference `cexp:250:cos' on page 136 undefined on input line 152
6.


LaTeX Warning: Reference `cexp:250:sin' on page 136 undefined on input line 152
6.


LaTeX Warning: Reference `cexp:250:cos' on page 136 undefined on input line 153
3.


LaTeX Warning: Reference `cexp:250:sin' on page 136 undefined on input line 153
3.


LaTeX Warning: Reference `cexp:euler' on page 136 undefined on input line 1534.



)
(./noth.tex
Chapter 6.


LaTeX Warning: Citation `Stepney' on page 140 undefined on input line 68.


LaTeX Warning: Citation `Sagan' on page 140 undefined on input line 80.


LaTeX Warning: Citation `wikip' on page 140 undefined on input line 80.





LaTeX Warning: Reference `alggeo:227' on page 143 undefined on input line 238.


LaTeX Warning: Citation `Sagan' on page 143 undefined on input line 254.



LaTeX Warning: Reference `alggeo:228:tbl-down' on page 144 undefined on input l
ine 299.


LaTeX Warning: Reference `alggeo:228.20' on page 144 undefined on input line 30
5.


LaTeX Warning: Citation `Shilov' on page 144 undefined on input line 324.



LaTeX Warning: Citation `Hildebrand' on page 145 undefined on input line 350.


LaTeX Warning: Citation `Shilov' on page 145 undefined on input line 350.


LaTeX Warning: Reference `noth:320.20' on page 145 undefined on input line 354.



LaTeX Warning: Reference `alggeo:225:fig' on page 145 undefined on input line 3
76.


LaTeX Warning: Reference `noth:320:50' on page 145 undefined on input line 379.




LaTeX Warning: Reference `alggeo:240:quad' on page 146 undefined on input line 
424.


LaTeX Warning: Reference `cubic' on page 146 undefined on input line 426.


LaTeX Warning: Citation `EWW-web' on page 146 undefined on input line 435.


LaTeX Warning: Reference `drvtv:270' on page 146 undefined on input line 436.


LaTeX Warning: Reference `noth:320:50' on page 146 undefined on input line 443.



Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `noth:420:10' on page 147 undefined on input line 524.



LaTeX Warning: Reference `noth:420:tbl-plad' on page 147 undefined on input lin
e 526.




LaTeX Warning: Reference `noth:420:tbl-plad' on page 149 undefined on input lin
e 582.


LaTeX Warning: Citation `Sedra/Smith' on page 149 undefined on input line 596.




LaTeX Warning: Reference `noth:420:40' on page 151 undefined on input line 741.



LaTeX Warning: Reference `noth:420:40' on page 151 undefined on input line 745.



LaTeX Warning: Reference `noth:420:40' on page 151 undefined on input line 752.



LaTeX Warning: Reference `noth:420:40' on page 151 undefined on input line 753.



LaTeX Warning: Reference `noth:420:40' on page 151 undefined on input line 756.




LaTeX Warning: Reference `hex' on page 152 undefined on input line 773.


LaTeX Warning: Citation `wikip' on page 152 undefined on input line 776.


LaTeX Warning: Citation `A-S' on page 152 undefined on input line 814.

)
(./integ.tex
Chapter 7.

LaTeX Warning: Reference `drvtv' on page 153 undefined on input line 9.


LaTeX Warning: Reference `drvtv' on page 153 undefined on input line 18.


LaTeX Warning: Citation `Hamming' on page 153 undefined on input line 36.



LaTeX Warning: Reference `integ:220:fig1' on page 154 undefined on input line 6
3.

[26]

LaTeX Warning: Citation `Hamming' on page 154 undefined on input line 197.



LaTeX Warning: Reference `drvtv' on page 155 undefined on input line 250.


LaTeX Warning: Citation `wikip' on page 155 undefined on input line 261.


LaTeX Warning: Reference `integ:220:fig2' on page 155 undefined on input line 2
68.


LaTeX Warning: Reference `integ:220:fig1' on page 155 undefined on input line 2
73.


LaTeX Warning: Reference `integ:220:fig1' on page 155 undefined on input line 2
73.

[27]

LaTeX Warning: Reference `integ:220.10' on page 156 undefined on input line 316
.


LaTeX Warning: Reference `integ:220.10' on page 156 undefined on input line 320
.


LaTeX Warning: Reference `drvtv:def' on page 156 undefined on input line 356.



LaTeX Warning: Reference `integ:def' on page 157 undefined on input line 370.


LaTeX Warning: Reference `integ:220:fig-trap' on page 157 undefined on input li
ne 371.


LaTeX Warning: Reference `integ:def' on page 157 undefined on input line 376.


LaTeX Warning: Reference `integ:def' on page 157 undefined on input line 376.

[28]

LaTeX Warning: Reference `integ:def' on page 157 undefined on input line 505.


LaTeX Warning: Reference `integ:241' on page 157 undefined on input line 505.


LaTeX Warning: Reference `integ:def' on page 157 undefined on input line 505.



LaTeX Warning: Reference `drvtv:240' on page 158 undefined on input line 520.


LaTeX Warning: Reference `integ:antider' on page 158 undefined on input line 55
7.


LaTeX Warning: Citation `Hamming' on page 158 undefined on input line 563.


LaTeX Warning: Citation `Shenk' on page 158 undefined on input line 563.


LaTeX Warning: Citation `wikip' on page 158 undefined on input line 563.


LaTeX Warning: Reference `integ:antider' on page 158 undefined on input line 56
6.


LaTeX Warning: Reference `integ:antider' on page 158 undefined on input line 62
9.


LaTeX Warning: Reference `integ:antider' on page 158 undefined on input line 62
9.

[29]

LaTeX Warning: Reference `integ:antider' on page 158 undefined on input line 62
9.



Underfull \hbox (badness 5607) in paragraph at lines 635--638
[]\OT1/cmr/m/n/10.95 As an ex-am-ple of the for-mula's use, con-sider that be-c
ause

LaTeX Warning: Reference `drvtv:240.30:10' on page 159 undefined on input line 
645.


LaTeX Warning: Reference `cexp:drv' on page 159 undefined on input line 645.


LaTeX Warning: Reference `cexp:drvi' on page 159 undefined on input line 646.


LaTeX Warning: Reference `integ:basic-antider' on page 159 undefined on input l
ine 646.


LaTeX Warning: Reference `inttx:210' on page 159 undefined on input line 676.



LaTeX Warning: Reference `alggeo:227' on page 160 undefined on input line 711.




LaTeX Warning: Reference `drvtv:240' on page 162 undefined on input line 822.


LaTeX Warning: Reference `vcalc:320.15' on page 162 undefined on input line 829
.



LaTeX Warning: Reference `taylor:316.70' on page 163 undefined on input line 92
0.


LaTeX Warning: Citation `Andrews' on page 163 undefined on input line 922.



LaTeX Warning: Reference `integ:240:fn20' on page 164 undefined on input line 9
70.


LaTeX Warning: Citation `Knopp' on page 164 undefined on input line 970.


LaTeX Warning: Citation `Hamming' on page 164 undefined on input line 970.


LaTeX Warning: Citation `Andrews' on page 164 undefined on input line 970.



LaTeX Warning: Citation `Knopp' on page 165 undefined on input line 979.


LaTeX Warning: Reference `integ:240.10' on page 165 undefined on input line 102
4.


LaTeX Warning: Reference `integ:240:fn19' on page 165 undefined on input line 1
043.



LaTeX Warning: Reference `lapl:350' on page 166 undefined on input line 1106.



LaTeX Warning: Reference `integ:241:fig0' on page 167 undefined on input line 1
129.

[30]

LaTeX Warning: Reference `integ:241.07' on page 167 undefined on input line 123
8.


LaTeX Warning: Reference `integ:241:fig0' on page 167 undefined on input line 1
239.


LaTeX Warning: Reference `alggeo:pythag' on page 167 undefined on input line 12
40.


LaTeX Warning: Reference `integ:241:071' on page 167 undefined on input line 12
45.



LaTeX Warning: Reference `inttx:220' on page 168 undefined on input line 1288.


LaTeX Warning: Reference `inttx:220' on page 168 undefined on input line 1300.


LaTeX Warning: Reference `cexp:drvi' on page 168 undefined on input line 1302.



LaTeX Warning: Reference `drvtv:250' on page 169 undefined on input line 1323.


LaTeX Warning: Reference `integ:241:083a' on page 169 undefined on input line 1
332.


LaTeX Warning: Reference `integ:241:083c' on page 169 undefined on input line 1
332.


LaTeX Warning: Reference `integ:241:084' on page 169 undefined on input line 13
40.


LaTeX Warning: Reference `integ:antider' on page 169 undefined on input line 13
42.


LaTeX Warning: Reference `integ:230' on page 169 undefined on input line 1342.


LaTeX Warning: Reference `integ:241:082' on page 169 undefined on input line 13
43.


LaTeX Warning: Reference `cexp:tbl-prop' on page 169 undefined on input line 13
52.


LaTeX Warning: Reference `vector:280.05' on page 169 undefined on input line 13
63.


LaTeX Warning: Reference `inttx:440' on page 169 undefined on input line 1364.


LaTeX Warning: Reference `integ:241:082' on page 169 undefined on input line 13
65.



LaTeX Warning: Reference `integ:241:fig1' on page 170 undefined on input line 1
376.

[31]

LaTeX Warning: Reference `taylor:355' on page 170 undefined on input line 1439.



LaTeX Warning: Reference `hex' on page 170 undefined on input line 1442.


LaTeX Warning: Citation `Palais:2001' on page 170 undefined on input line 1449.



LaTeX Warning: Reference `integ:241:fig2' on page 170 undefined on input line 1
466.

[32]

LaTeX Warning: Reference `integ:241:fig2' on page 170 undefined on input line 1
526.


LaTeX Warning: Reference `integ:241:fig2' on page 170 undefined on input line 1
526.



LaTeX Warning: Reference `integ:fig-sphere' on page 171 undefined on input line
 1552.

[33]

LaTeX Warning: Reference `integ:fig-sphere' on page 171 undefined on input line
 1561.

[34]

LaTeX Warning: Reference `integ:fig-sphere2' on page 171 undefined on input lin
e 1668.


LaTeX Warning: Reference `integ:fig-sphere2' on page 171 undefined on input lin
e 1688.


LaTeX Warning: Citation `StarWars' on page 171 undefined on input line 1688.



LaTeX Warning: Reference `integ:basic-antider' on page 172 undefined on input l
ine 1704.


LaTeX Warning: Reference `integ:241.10' on page 172 undefined on input line 171
2.


LaTeX Warning: Reference `integ:241:V-cone' on page 172 undefined on input line
 1716.



LaTeX Warning: Reference `integ:241:S-sphere' on page 173 undefined on input li
ne 1727.


LaTeX Warning: Reference `integ:241.10' on page 173 undefined on input line 173
6.


LaTeX Warning: Reference `hex' on page 173 undefined on input line 1761.


LaTeX Warning: Reference `integ:antider' on page 173 undefined on input line 17
80.



LaTeX Warning: Reference `integ:245:20' on page 174 undefined on input line 178
4.


LaTeX Warning: Reference `integ:245:24' on page 174 undefined on input line 179
7.


LaTeX Warning: Reference `integ:245:20' on page 174 undefined on input line 179
8.


LaTeX Warning: Reference `integ:245:26' on page 174 undefined on input line 180
6.


LaTeX Warning: Reference `integ:245:24' on page 174 undefined on input line 181
2.


LaTeX Warning: Reference `integ:245:26' on page 174 undefined on input line 181
2.


LaTeX Warning: Reference `inttx:250:20' on page 174 undefined on input line 181
4.


LaTeX Warning: Reference `integ:245:24' on page 174 undefined on input line 181
7.


LaTeX Warning: Reference `integ:245:26' on page 174 undefined on input line 181
7.


LaTeX Warning: Reference `integ:241.08' on page 174 undefined on input line 182
6.


LaTeX Warning: Reference `inttx' on page 174 undefined on input line 1826.



LaTeX Warning: Reference `integ:260:fig' on page 175 undefined on input line 18
57.

[35]

LaTeX Warning: Reference `integ:260:fig' on page 175 undefined on input line 19
13.


LaTeX Warning: Reference `integ:260:fig' on page 175 undefined on input line 19
31.


LaTeX Warning: Reference `taylor:350' on page 175 undefined on input line 1939.



LaTeX Warning: Reference `inttx:250' on page 175 undefined on input line 1939.



LaTeX Warning: Reference `integ:670:fig-u' on page 176 undefined on input line 
1974.

[36]

LaTeX Warning: Reference `integ:670:10' on page 176 undefined on input line 201
5.


LaTeX Warning: Citation `Lathi' on page 176 undefined on input line 2016.


LaTeX Warning: Reference `integ:670:10' on page 176 undefined on input line 202
4.


LaTeX Warning: Reference `lapl' on page 176 undefined on input line 2025.


LaTeX Warning: Reference `integ:670:11' on page 176 undefined on input line 202
6.


LaTeX Warning: Citation `JJH' on page 176 undefined on input line 2050.


LaTeX Warning: Reference `integ:670:fig-d' on page 176 undefined on input line 
2051.

[37]

LaTeX Warning: Reference `integ:670:sift' on page 177 undefined on input line 2
094.


LaTeX Warning: Reference `fouri' on page 177 undefined on input line 2145.


LaTeX Warning: Reference `fouri:130' on page 177 undefined on input line 2145.


LaTeX Warning: Citation `Phillips/Parr' on page 177 undefined on input line 214
5.


LaTeX Warning: Citation `Doetsch' on page 177 undefined on input line 2145.


LaTeX Warning: Citation `wikip' on page 177 undefined on input line 2145.



LaTeX Warning: Reference `integ:670:sift0' on page 178 undefined on input line 
2152.


LaTeX Warning: Reference `integ:260' on page 178 undefined on input line 2216.



LaTeX Warning: Citation `Shenk' on page 179 undefined on input line 2222.


LaTeX Warning: Citation `Shenk' on page 179 undefined on input line 2226.


LaTeX Warning: Citation `Shenk' on page 179 undefined on input line 2230.


LaTeX Warning: Reference `inttx' on page 179 undefined on input line 2261.


LaTeX Warning: Reference `taylor' on page 179 undefined on input line 2264.

)
(./taylor.tex
Chapter 8.

LaTeX Warning: Reference `drvtv:240:polyderivz' on page 181 undefined on input 
line 15.


LaTeX Warning: Reference `taylor:310' on page 181 undefined on input line 23.


LaTeX Warning: Reference `taylor:314' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:317' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:320' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:330' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:310' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:325' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:350' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:315' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:355' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:314' on page 181 undefined on input line 47.


LaTeX Warning: Reference `purec' on page 181 undefined on input line 47.


LaTeX Warning: Reference `taylor:314' on page 181 undefined on input line 49.


LaTeX Warning: Reference `taylor:317' on page 181 undefined on input line 50.


LaTeX Warning: Reference `taylor:310' on page 181 undefined on input line 53.


LaTeX Warning: Reference `taylor:314' on page 181 undefined on input line 55.



LaTeX Warning: Reference `taylor:310' on page 182 undefined on input line 63.


LaTeX Warning: Reference `taylor:314.20' on page 182 undefined on input line 70
.


LaTeX Warning: Reference `taylor:314:70' on page 182 undefined on input line 71
.


LaTeX Warning: Reference `taylor:314.10' on page 182 undefined on input line 72
.


LaTeX Warning: Reference `taylor:314.25' on page 182 undefined on input line 73
.


LaTeX Warning: Reference `alggeo:228.30' on page 182 undefined on input line 82
.


LaTeX Warning: Reference `alggeo:228:tbl-up' on page 182 undefined on input lin
e 87.


LaTeX Warning: Reference `drvtv:pasc' on page 182 undefined on input line 94.


LaTeX Warning: Reference `drvtv:pasc' on page 182 undefined on input line 95.


LaTeX Warning: Reference `drvtv:pasc0' on page 182 undefined on input line 95.


LaTeX Warning: Reference `taylor:314:70' on page 182 undefined on input line 99
.



LaTeX Warning: Reference `taylor:314:30' on page 183 undefined on input line 12
1.


LaTeX Warning: Reference `drvtv:220:tbl' on page 183 undefined on input line 12
2.


LaTeX Warning: Reference `taylor:314:30' on page 183 undefined on input line 12
7.


LaTeX Warning: Reference `taylor:314:50' on page 183 undefined on input line 13
4.


LaTeX Warning: Reference `taylor:314:30' on page 183 undefined on input line 13
4.


LaTeX Warning: Reference `taylor:314:50' on page 183 undefined on input line 14
2.


LaTeX Warning: Reference `drvtv:220:tbl' on page 183 undefined on input line 14
7.


LaTeX Warning: Reference `taylor:314:30' on page 183 undefined on input line 15
1.


LaTeX Warning: Reference `taylor:314:60' on page 183 undefined on input line 15
5.


LaTeX Warning: Reference `taylor:314:10' on page 183 undefined on input line 15
6.


LaTeX Warning: Reference `taylor:314:70' on page 183 undefined on input line 15
6.


LaTeX Warning: Reference `taylor:314:70' on page 183 undefined on input line 15
8.


LaTeX Warning: Reference `taylor:314:30' on page 183 undefined on input line 16
0.


LaTeX Warning: Reference `taylor:314:70' on page 183 undefined on input line 16
3.


LaTeX Warning: Reference `taylor:314:70' on page 183 undefined on input line 17
1.



LaTeX Warning: Reference `taylor:314:51' on page 184 undefined on input line 18
2.


LaTeX Warning: Reference `taylor:314:70' on page 184 undefined on input line 18
8.


LaTeX Warning: Reference `taylor:315:11' on page 184 undefined on input line 19
4.


LaTeX Warning: Reference `taylor:315:10' on page 184 undefined on input line 20
2.


LaTeX Warning: Reference `taylor:315:15' on page 184 undefined on input line 20
7.


LaTeX Warning: Reference `taylor:315:20' on page 184 undefined on input line 20
7.


LaTeX Warning: Reference `taylor:314:70' on page 184 undefined on input line 20
8.


LaTeX Warning: Reference `alggeo:228:45' on page 184 undefined on input line 22
2.


LaTeX Warning: Reference `taylor:314:70' on page 184 undefined on input line 23
1.


LaTeX Warning: Citation `Andrews' on page 184 undefined on input line 262.


LaTeX Warning: Reference `inttx:460' on page 184 undefined on input line 262.


LaTeX Warning: Reference `drvtv:220:tbl' on page 184 undefined on input line 26
3.



LaTeX Warning: Reference `taylor:314:70' on page 185 undefined on input line 28
2.


LaTeX Warning: Reference `taylor:314:80' on page 185 undefined on input line 28
9.


LaTeX Warning: Reference `taylor:314:70' on page 185 undefined on input line 29
3.


LaTeX Warning: Reference `cexp:225:dln' on page 185 undefined on input line 307
.


LaTeX Warning: Reference `taylor:316' on page 185 undefined on input line 307.



LaTeX Warning: Reference `alggeo:228.30' on page 186 undefined on input line 31
3.


LaTeX Warning: Reference `trig:278:triangle' on page 186 undefined on input lin
e 313.


LaTeX Warning: Reference `taylor:314:83' on page 186 undefined on input line 31
9.


LaTeX Warning: Reference `taylor:314:70' on page 186 undefined on input line 32
0.


LaTeX Warning: Reference `taylor:314:70' on page 186 undefined on input line 32
5.


LaTeX Warning: Reference `taylor:314.20' on page 186 undefined on input line 32
7.


LaTeX Warning: Reference `taylor:314.10' on page 186 undefined on input line 33
3.


LaTeX Warning: Citation `Hamming' on page 186 undefined on input line 347.



LaTeX Warning: Citation `Hamming' on page 187 undefined on input line 353.


LaTeX Warning: Citation `Hamming' on page 187 undefined on input line 367.


LaTeX Warning: Reference `taylor:310' on page 187 undefined on input line 390.


LaTeX Warning: Reference `taylor:317:30' on page 187 undefined on input line 40
5.



LaTeX Warning: Reference `taylor:317:51' on page 188 undefined on input line 42
3.


LaTeX Warning: Reference `taylor:314:70' on page 188 undefined on input line 43
0.


LaTeX Warning: Reference `drvtv:230:binthe' on page 188 undefined on input line
 439.


LaTeX Warning: Reference `taylor:317:30' on page 188 undefined on input line 45
0.


LaTeX Warning: Reference `taylor:317:52p' on page 188 undefined on input line 4
50.


LaTeX Warning: Reference `taylor:314:83' on page 188 undefined on input line 45
6.



LaTeX Warning: Reference `taylor:320' on page 189 undefined on input line 466.


LaTeX Warning: Reference `taylor:350' on page 189 undefined on input line 467.


LaTeX Warning: Reference `taylor:317:52q' on page 189 undefined on input line 4
74.


LaTeX Warning: Reference `taylor:317:52p' on page 189 undefined on input line 4
74.


LaTeX Warning: Reference `taylor:317:30' on page 189 undefined on input line 47
7.


LaTeX Warning: Reference `taylor:314:83' on page 189 undefined on input line 47
9.


LaTeX Warning: Reference `taylor:317:52' on page 189 undefined on input line 48
0.


LaTeX Warning: Reference `taylor:317:52q' on page 189 undefined on input line 4
81.


LaTeX Warning: Reference `taylor:310' on page 189 undefined on input line 485.


LaTeX Warning: Reference `taylor:317:52p' on page 189 undefined on input line 4
85.


LaTeX Warning: Reference `taylor:310' on page 189 undefined on input line 502.


LaTeX Warning: Reference `drvtv:220:tbl' on page 189 undefined on input line 50
2.


LaTeX Warning: Reference `taylor:310' on page 189 undefined on input line 502.


Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `taylor:314' on page 190 undefined on input line 519.


LaTeX Warning: Reference `taylor:315' on page 190 undefined on input line 524.


LaTeX Warning: Reference `taylor:310:20' on page 190 undefined on input line 53
9.


LaTeX Warning: Citation `Arnold:1997' on page 190 undefined on input line 569.


LaTeX Warning: Citation `Fisher' on page 190 undefined on input line 569.


LaTeX Warning: Citation `Spiegel' on page 190 undefined on input line 569.


LaTeX Warning: Citation `Shilov' on page 190 undefined on input line 569.


LaTeX Warning: Citation `Hildebrand' on page 190 undefined on input line 569.


LaTeX Warning: Citation `Shilov' on page 190 undefined on input line 569.


LaTeX Warning: Citation `Kohler-lecture' on page 190 undefined on input line 56
9.


LaTeX Warning: Citation `TAndrews' on page 190 undefined on input line 569.


LaTeX Warning: Reference `purec' on page 190 undefined on input line 569.


LaTeX Warning: Reference `purec' on page 190 undefined on input line 570.


LaTeX Warning: Reference `taylor:315' on page 190 undefined on input line 573.



LaTeX Warning: Reference `alggeo:225.3' on page 191 undefined on input line 595
.


LaTeX Warning: Reference `taylor:317' on page 191 undefined on input line 605.


LaTeX Warning: Citation `Spiegel' on page 191 undefined on input line 653.



LaTeX Warning: Reference `taylor:317' on page 192 undefined on input line 657.


LaTeX Warning: Reference `taylor:385' on page 192 undefined on input line 672.


LaTeX Warning: Citation `Fisher' on page 192 undefined on input line 706.


LaTeX Warning: Citation `Spiegel' on page 192 undefined on input line 706.


LaTeX Warning: Citation `Hildebrand' on page 192 undefined on input line 706.


LaTeX Warning: Citation `Shilov' on page 192 undefined on input line 706.


LaTeX Warning: Reference `purec' on page 192 undefined on input line 706.


LaTeX Warning: Reference `alggeo:225' on page 192 undefined on input line 753.


LaTeX Warning: Reference `integ:670' on page 192 undefined on input line 753.


LaTeX Warning: Reference `drvtv:defz' on page 192 undefined on input line 755.



LaTeX Warning: Citation `wikip' on page 193 undefined on input line 797.


LaTeX Warning: Reference `taylor:325fig' on page 193 undefined on input line 81
1.

[38]

LaTeX Warning: Reference `integ:fig-sphere' on page 193 undefined on input line
 860.


LaTeX Warning: Reference `taylor:325fig' on page 193 undefined on input line 86
1.




LaTeX Warning: Reference `taylor:350' on page 195 undefined on input line 906.


LaTeX Warning: Citation `Hildebrand' on page 195 undefined on input line 919.


LaTeX Warning: Reference `cexp:228' on page 195 undefined on input line 922.


LaTeX Warning: Reference `taylor:325figln' on page 195 undefined on input line 
926.

[39]

LaTeX Warning: Reference `taylor:350' on page 195 undefined on input line 970.


LaTeX Warning: Citation `EWW' on page 195 undefined on input line 990.


LaTeX Warning: Citation `Spiegel' on page 195 undefined on input line 993.


LaTeX Warning: Citation `Lebedev' on page 195 undefined on input line 1012.


LaTeX Warning: Citation `Spiegel' on page 195 undefined on input line 1012.


LaTeX Warning: Citation `Lebedev' on page 195 undefined on input line 1012.


LaTeX Warning: Citation `Kohler-lecture' on page 195 undefined on input line 10
23.



LaTeX Warning: Reference `taylor:315' on page 196 undefined on input line 1034.



LaTeX Warning: Reference `taylor:315:tbl' on page 196 undefined on input line 1
034.


LaTeX Warning: Reference `cexp:250:cos' on page 196 undefined on input line 104
9.


LaTeX Warning: Reference `taylor:380' on page 196 undefined on input line 1053.



LaTeX Warning: Reference `taylor:385' on page 196 undefined on input line 1053.



LaTeX Warning: Reference `inttx:260' on page 196 undefined on input line 1053.


LaTeX Warning: Reference `taylor:310:20' on page 196 undefined on input line 10
62.



LaTeX Warning: Reference `drvtv:240.38' on page 197 undefined on input line 111
4.


LaTeX Warning: Reference `taylor:335:10' on page 197 undefined on input line 11
26.


LaTeX Warning: Citation `deSturler-lecture' on page 197 undefined on input line
 1148.


LaTeX Warning: Citation `Kohler-lecture' on page 197 undefined on input line 11
48.



LaTeX Warning: Reference `integ:260' on page 198 undefined on input line 1169.


LaTeX Warning: Reference `integ:260:fig' on page 198 undefined on input line 11
72.


LaTeX Warning: Reference `alggeo:225:fig' on page 198 undefined on input line 1
178.


LaTeX Warning: Reference `integ:230' on page 198 undefined on input line 1185.



LaTeX Warning: Reference `taylor:350:10' on page 199 undefined on input line 12
48.


LaTeX Warning: Reference `taylor:350:fig1' on page 199 undefined on input line 
1249.

[40]

LaTeX Warning: Reference `taylor:350:dz' on page 200 undefined on input line 13
51.


LaTeX Warning: Reference `taylor:350:20' on page 200 undefined on input line 13
60.


Overfull \hbox (1.25618pt too wide) in paragraph at lines 1359--1362
[]\OT1/cmr/m/n/10.95 The ap-plied math-e-mati-cian might rea-son-ably ask, ``Wa
s ([]) re-ally worth


LaTeX Warning: Reference `taylor:350:20' on page 201 undefined on input line 13
65.


LaTeX Warning: Reference `cexp:225:dln' on page 201 undefined on input line 137
0.


LaTeX Warning: Reference `alggeo:230:311' on page 201 undefined on input line 1
371.


LaTeX Warning: Reference `integ:260' on page 201 undefined on input line 1404.


LaTeX Warning: Reference `taylor:350:20' on page 201 undefined on input line 14
12.


LaTeX Warning: Reference `taylor:cauchy0' on page 201 undefined on input line 1
418.


LaTeX Warning: Reference `taylor:350:21' on page 201 undefined on input line 14
27.



LaTeX Warning: Reference `taylor:cauchyf' on page 202 undefined on input line 1
453.


LaTeX Warning: Reference `taylor:317' on page 202 undefined on input line 1453.



LaTeX Warning: Reference `taylor:cauchy0' on page 202 undefined on input line 1
458.


LaTeX Warning: Reference `taylor:cauchyf' on page 202 undefined on input line 1
458.


LaTeX Warning: Reference `taylor:cauchy0' on page 202 undefined on input line 1
467.


LaTeX Warning: Reference `taylor:350:fig2' on page 202 undefined on input line 
1472.

[41]

LaTeX Warning: Reference `taylor:cauchyf' on page 202 undefined on input line 1
524.


LaTeX Warning: Reference `taylor:cauchy' on page 202 undefined on input line 15
29.


LaTeX Warning: Reference `taylor:cauchy' on page 202 undefined on input line 15
32.



LaTeX Warning: Reference `alggeo:250' on page 203 undefined on input line 1538.



LaTeX Warning: Reference `inttx:260.20' on page 203 undefined on input line 153
9.


LaTeX Warning: Reference `integ:240.05' on page 203 undefined on input line 154
0.


LaTeX Warning: Citation `Lebedev' on page 203 undefined on input line 1546.


LaTeX Warning: Reference `taylor:cauchyn' on page 203 undefined on input line 1
550.


LaTeX Warning: Reference `taylor:cauchyn' on page 203 undefined on input line 1
553.


LaTeX Warning: Reference `inttx:250' on page 203 undefined on input line 1557.


LaTeX Warning: Reference `taylor:cauchy' on page 203 undefined on input line 15
58.


LaTeX Warning: Reference `taylor:cauchyn' on page 203 undefined on input line 1
558.


LaTeX Warning: Citation `Hildebrand' on page 203 undefined on input line 1564.


LaTeX Warning: Citation `Spiegel' on page 203 undefined on input line 1564.


LaTeX Warning: Citation `wikip' on page 203 undefined on input line 1564.


LaTeX Warning: Reference `taylor:310:20' on page 203 undefined on input line 15
80.



LaTeX Warning: Reference `taylor:cauchy0' on page 204 undefined on input line 1
587.


LaTeX Warning: Reference `taylor:cauchy' on page 204 undefined on input line 16
02.


LaTeX Warning: Reference `taylor:350:30' on page 204 undefined on input line 16
08.


LaTeX Warning: Reference `taylor:cauchy' on page 204 undefined on input line 16
09.


LaTeX Warning: Citation `Kohler-lecture' on page 204 undefined on input line 16
12.


LaTeX Warning: Citation `Spiegel' on page 204 undefined on input line 1612.


LaTeX Warning: Reference `taylor:310:20' on page 204 undefined on input line 16
20.


LaTeX Warning: Reference `cexp:drv' on page 204 undefined on input line 1621.


LaTeX Warning: Reference `cexp:drvi' on page 204 undefined on input line 1621.


LaTeX Warning: Reference `drvtv:240.30:10' on page 204 undefined on input line 
1622.


Underfull \vbox (badness 1237) has occurred while \output is active

LaTeX Warning: Reference `taylor:316.80' on page 205 undefined on input line 16
65.


LaTeX Warning: Reference `taylor:315:tbl' on page 205 undefined on input line 1
669.


LaTeX Warning: Citation `Shenk' on page 205 undefined on input line 1695.


LaTeX Warning: Reference `cexp:drvi' on page 205 undefined on input line 1696.


LaTeX Warning: Reference `alggeo:228:40' on page 205 undefined on input line 16
96.


LaTeX Warning: Reference `taylor:315:tbl' on page 205 undefined on input line 1
710.




LaTeX Warning: Reference `purec' on page 207 undefined on input line 1726.


LaTeX Warning: Reference `purec' on page 207 undefined on input line 1727.


LaTeX Warning: Reference `purec' on page 207 undefined on input line 1729.


LaTeX Warning: Reference `purec' on page 207 undefined on input line 1730.


LaTeX Warning: Reference `taylor:315:tbl' on page 207 undefined on input line 1
759.



LaTeX Warning: Reference `alggeo:228:45' on page 208 undefined on input line 17
93.



LaTeX Warning: Reference `integ:basic-antider' on page 209 undefined on input l
ine 1830.


LaTeX Warning: Reference `taylor:316:fig-maj' on page 209 undefined on input li
ne 1835.

[42]

LaTeX Warning: Reference `taylor:316:fig-maj' on page 209 undefined on input li
ne 1983.



LaTeX Warning: Reference `fours:140.60' on page 210 undefined on input line 200
1.


LaTeX Warning: Reference `taylor:316.25' on page 210 undefined on input line 20
18.


LaTeX Warning: Reference `taylor:315:tbl' on page 210 undefined on input line 2
027.


LaTeX Warning: Reference `taylor:315:tbl' on page 210 undefined on input line 2
032.


LaTeX Warning: Citation `Peterson/Mittra:1986' on page 210 undefined on input l
ine 2056.


LaTeX Warning: Citation `vdVorst' on page 210 undefined on input line 2056.


LaTeX Warning: Reference `taylor:316:34' on page 210 undefined on input line 20
56.


Underfull \vbox (badness 2119) has occurred while \output is active

LaTeX Warning: Reference `alggeo:228:45' on page 211 undefined on input line 20
64.


LaTeX Warning: Reference `trig:278:triangle' on page 211 undefined on input lin
e 2065.


LaTeX Warning: Reference `taylor:316:30' on page 211 undefined on input line 20
66.


LaTeX Warning: Reference `taylor:315:tbl' on page 211 undefined on input line 2
075.


LaTeX Warning: Reference `taylor:315:tbl' on page 211 undefined on input line 2
101.



LaTeX Warning: Reference `taylor:315:tbl' on page 212 undefined on input line 2
126.


LaTeX Warning: Reference `taylor:317' on page 212 undefined on input line 2132.



LaTeX Warning: Reference `taylor:330' on page 212 undefined on input line 2133.




LaTeX Warning: Reference `taylor:316.80fn' on page 213 undefined on input line 
2187.


LaTeX Warning: Reference `taylor:316:85' on page 213 undefined on input line 21
88.


LaTeX Warning: Reference `taylor:315:tbl' on page 213 undefined on input line 2
195.


LaTeX Warning: Reference `taylor:316:83' on page 213 undefined on input line 22
02.


LaTeX Warning: Reference `taylor:316:92' on page 213 undefined on input line 22
32.


LaTeX Warning: Reference `trig:228:table' on page 213 undefined on input line 2
232.


LaTeX Warning: Reference `taylor:355' on page 213 undefined on input line 2232.




LaTeX Warning: Reference `taylor:316:90' on page 214 undefined on input line 22
34.


LaTeX Warning: Reference `taylor:316:90' on page 214 undefined on input line 22
42.


LaTeX Warning: Reference `taylor:316:83' on page 214 undefined on input line 22
45.


LaTeX Warning: Reference `taylor:316:92' on page 214 undefined on input line 22
46.


LaTeX Warning: Reference `taylor:316:83' on page 214 undefined on input line 22
48.


LaTeX Warning: Reference `taylor:315:tbl' on page 214 undefined on input line 2
277.


LaTeX Warning: Reference `trig:240:rot' on page 214 undefined on input line 227
7.



LaTeX Warning: Reference `prob' on page 215 undefined on input line 2338.



LaTeX Warning: Citation `Brown-conversation' on page 216 undefined on input lin
e 2350.


LaTeX Warning: Reference `taylor:315:tbl' on page 216 undefined on input line 2
362.


LaTeX Warning: Reference `taylor:355:10' on page 216 undefined on input line 23
72.


LaTeX Warning: Reference `trig:hourtable' on page 216 undefined on input line 2
374.


LaTeX Warning: Citation `OEIS' on page 216 undefined on input line 2379.



LaTeX Warning: Reference `fouri:110.65' on page 217 undefined on input line 244
0.



LaTeX Warning: Reference `taylor:382:10' on page 218 undefined on input line 24
93.


LaTeX Warning: Reference `cexp:tbl-prop' on page 218 undefined on input line 24
94.


LaTeX Warning: Reference `cexp:drv' on page 218 undefined on input line 2494.


LaTeX Warning: Reference `drvtv:260:lhopital' on page 218 undefined on input li
ne 2495.


LaTeX Warning: Reference `taylor:382:10' on page 218 undefined on input line 24
97.


LaTeX Warning: Reference `trig:226:f1' on page 218 undefined on input line 2502
.


LaTeX Warning: Reference `cexp:tbl-prop' on page 218 undefined on input line 25
03.


LaTeX Warning: Reference `taylor:382:10' on page 218 undefined on input line 25
05.


LaTeX Warning: Reference `taylor:382:10' on page 218 undefined on input line 25
22.


LaTeX Warning: Reference `taylor:330' on page 218 undefined on input line 2529.



LaTeX Warning: Citation `Kohler-lecture' on page 218 undefined on input line 25
31.



Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `taylor:380:30' on page 220 undefined on input line 26
52.



LaTeX Warning: Reference `taylor:380:40' on page 221 undefined on input line 26
71.


LaTeX Warning: Citation `Hildebrand' on page 221 undefined on input line 2686.


LaTeX Warning: Citation `Fisher' on page 221 undefined on input line 2686.


LaTeX Warning: Reference `inttx:250' on page 221 undefined on input line 2688.


LaTeX Warning: Reference `inttx:260' on page 221 undefined on input line 2688.


LaTeX Warning: Reference `taylor:380' on page 221 undefined on input line 2699.




LaTeX Warning: Reference `taylor:314:70' on page 222 undefined on input line 27
38.


LaTeX Warning: Reference `drvtv:220:30' on page 222 undefined on input line 273
8.


LaTeX Warning: Reference `taylor:310:20' on page 222 undefined on input line 27
63.


LaTeX Warning: Reference `taylor:310:20' on page 222 undefined on input line 27
76.



LaTeX Warning: Reference `trig:230' on page 223 undefined on input line 2806.


LaTeX Warning: Reference `matrix' on page 223 undefined on input line 2806.



LaTeX Warning: Reference `taylor:370:10' on page 224 undefined on input line 28
39.


LaTeX Warning: Reference `taylor:370:10' on page 224 undefined on input line 28
42.


LaTeX Warning: Reference `taylor:310:20' on page 224 undefined on input line 28
43.

)
(./inttx.tex
Chapter 9.

LaTeX Warning: Reference `drvtv:defz' on page 225 undefined on input line 7.


LaTeX Warning: Reference `integ:def' on page 225 undefined on input line 8.


LaTeX Warning: Reference `integ:230' on page 225 undefined on input line 43.



LaTeX Warning: Reference `trig:hourtable' on page 226 undefined on input line 5
2.


LaTeX Warning: Reference `cexp:drvi' on page 226 undefined on input line 53.


LaTeX Warning: Reference `integ:basic-antider' on page 226 undefined on input l
ine 65.


LaTeX Warning: Reference `cexp:drv' on page 226 undefined on input line 65.


LaTeX Warning: Reference `cexp:drvi' on page 226 undefined on input line 65.


LaTeX Warning: Reference `inttx:470:tbl' on page 226 undefined on input line 66
.


LaTeX Warning: Reference `taylor:350:31' on page 226 undefined on input line 74
.


LaTeX Warning: Reference `taylor:350:32' on page 226 undefined on input line 74
.



LaTeX Warning: Reference `integ:245' on page 227 undefined on input line 114.


LaTeX Warning: Reference `inttx:220' on page 227 undefined on input line 140.


LaTeX Warning: Reference `inttx:reversal:10' on page 227 undefined on input lin
e 156.



LaTeX Warning: Reference `fouri:110.30' on page 228 undefined on input line 175
.


LaTeX Warning: Reference `drvtv:prod2' on page 228 undefined on input line 208.



LaTeX Warning: Reference `inttx:parts' on page 228 undefined on input line 221.




LaTeX Warning: Reference `inttx:parts' on page 229 undefined on input line 250.



LaTeX Warning: Reference `gamma:110' on page 229 undefined on input line 269.


LaTeX Warning: Reference `inttx:antider' on page 229 undefined on input line 28
2.




LaTeX Warning: Reference `inttx:240:26' on page 231 undefined on input line 355
.


LaTeX Warning: Reference `inttx:240:26' on page 231 undefined on input line 379
.


LaTeX Warning: Reference `inttx:240:27' on page 231 undefined on input line 382
.


LaTeX Warning: Reference `inttx:240:27' on page 231 undefined on input line 397
.



LaTeX Warning: Reference `inttx:240:26' on page 232 undefined on input line 403
.


LaTeX Warning: Reference `inttx:240:29' on page 232 undefined on input line 405
.


LaTeX Warning: Citation `Lebedev' on page 232 undefined on input line 430.


LaTeX Warning: Reference `taylor:cauchy' on page 232 undefined on input line 43
9.


LaTeX Warning: Reference `inttx:250:fig1' on page 232 undefined on input line 4
52.

[43]


LaTeX Warning: Reference `integ:def' on page 234 undefined on input line 585.


LaTeX Warning: Reference `taylor:cauchy' on page 234 undefined on input line 58
5.


LaTeX Warning: Reference `gamma:220' on page 234 undefined on input line 586.


LaTeX Warning: Citation `Kohler-lecture' on page 234 undefined on input line 58
9.



LaTeX Warning: Reference `noth' on page 235 undefined on input line 632.


LaTeX Warning: Reference `noth:420:85' on page 235 undefined on input line 632.



LaTeX Warning: Reference `taylor:cauchy' on page 235 undefined on input line 65
1.



LaTeX Warning: Reference `trig:278:triangle' on page 236 undefined on input lin
e 686.


LaTeX Warning: Reference `fours:160.35' on page 236 undefined on input line 689
.


LaTeX Warning: Citation `Phillips/Parr' on page 236 undefined on input line 703
.


LaTeX Warning: Citation `Hildebrand' on page 236 undefined on input line 703.


LaTeX Warning: Reference `inttx:intinvz' on page 236 undefined on input line 73
4.



LaTeX Warning: Reference `inttx:260:20' on page 237 undefined on input line 762
.


LaTeX Warning: Reference `inttx:260:10' on page 237 undefined on input line 768
.


LaTeX Warning: Reference `inttx:260:10' on page 237 undefined on input line 768
.


LaTeX Warning: Reference `inttx:260:20' on page 237 undefined on input line 769
.


LaTeX Warning: Reference `inttx:260:20' on page 237 undefined on input line 779
.


LaTeX Warning: Reference `inttx:260:20' on page 237 undefined on input line 801
.


LaTeX Warning: Reference `inttx:260:25' on page 237 undefined on input line 801
.


LaTeX Warning: Reference `inttx:260:10' on page 237 undefined on input line 802
.


LaTeX Warning: Reference `inttx:260.10' on page 237 undefined on input line 817
.


LaTeX Warning: Reference `inttx:260:25' on page 237 undefined on input line 820
.


LaTeX Warning: Reference `inttx:260.50' on page 237 undefined on input line 823
.



LaTeX Warning: Reference `alggeo:228:45' on page 238 undefined on input line 84
3.


LaTeX Warning: Reference `fours:080' on page 238 undefined on input line 869.



LaTeX Warning: Reference `inttx:260:40' on page 239 undefined on input line 895
.


LaTeX Warning: Reference `inttx:260:30' on page 239 undefined on input line 909
.


LaTeX Warning: Reference `inttx:260.10' on page 239 undefined on input line 911
.


Underfull \vbox (badness 3354) has occurred while \output is active


LaTeX Warning: Reference `inttx:260.30' on page 241 undefined on input line 995
.


LaTeX Warning: Reference `inttx:260:10' on page 241 undefined on input line 101
9.


LaTeX Warning: Reference `inttx:260:20' on page 241 undefined on input line 101
9.


LaTeX Warning: Reference `inttx:260:25' on page 241 undefined on input line 102
0.


LaTeX Warning: Reference `inttx:260:30' on page 241 undefined on input line 102
0.


LaTeX Warning: Reference `inttx:260.21' on page 241 undefined on input line 102
4.


Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `integ:245' on page 242 undefined on input line 1073.


LaTeX Warning: Reference `lapl:250' on page 242 undefined on input line 1100.


LaTeX Warning: Reference `fouri' on page 242 undefined on input line 1101.



LaTeX Warning: Reference `inttx:260:83' on page 243 undefined on input line 112
6.


LaTeX Warning: Reference `inttx:260:80' on page 243 undefined on input line 112
7.


LaTeX Warning: Reference `inttx:260:83' on page 243 undefined on input line 112
7.


LaTeX Warning: Reference `drvtv:proddiv2' on page 243 undefined on input line 1
128.


LaTeX Warning: Reference `inttx:260:83' on page 243 undefined on input line 112
9.


LaTeX Warning: Reference `inttx:260:83' on page 243 undefined on input line 114
6.


LaTeX Warning: Reference `inttx:260:83' on page 243 undefined on input line 115
5.


LaTeX Warning: Reference `inttx:260.20' on page 243 undefined on input line 116
8.


LaTeX Warning: Reference `inttx:260.30' on page 243 undefined on input line 116
8.



LaTeX Warning: Reference `inttx:260.10' on page 244 undefined on input line 118
8.


LaTeX Warning: Reference `inttx:260:70' on page 244 undefined on input line 119
8.


LaTeX Warning: Reference `inttx:260:70' on page 244 undefined on input line 120
4.


LaTeX Warning: Reference `inttx:260:86' on page 244 undefined on input line 121
9.



LaTeX Warning: Reference `inttx:260:70' on page 245 undefined on input line 126
7.


LaTeX Warning: Reference `inttx:260:75' on page 245 undefined on input line 127
9.


LaTeX Warning: Reference `inttx:260:50' on page 245 undefined on input line 127
9.


LaTeX Warning: Reference `inttx:260:70' on page 245 undefined on input line 128
0.


LaTeX Warning: Reference `inttx:260.50' on page 245 undefined on input line 129
0.


LaTeX Warning: Reference `inttx:260:75' on page 245 undefined on input line 129
1.


LaTeX Warning: Reference `inttx:260:75' on page 245 undefined on input line 129
5.


LaTeX Warning: Reference `mtxinv:445' on page 245 undefined on input line 1330.




LaTeX Warning: Reference `inttx:260:70' on page 246 undefined on input line 133
7.


LaTeX Warning: Reference `inttx:260:50' on page 246 undefined on input line 133
8.


LaTeX Warning: Reference `matrix' on page 246 undefined on input line 1352.


LaTeX Warning: Reference `eigen' on page 246 undefined on input line 1352.


LaTeX Warning: Reference `integ:241.08' on page 246 undefined on input line 138
8.


LaTeX Warning: Reference `cexp:drvi' on page 246 undefined on input line 1396.



LaTeX Warning: Reference `inttx:220' on page 247 undefined on input line 1406.


LaTeX Warning: Reference `integ:241.08' on page 247 undefined on input line 142
2.



LaTeX Warning: Reference `integ:245' on page 248 undefined on input line 1461.


Underfull \vbox (badness 3746) has occurred while \output is active

LaTeX Warning: Reference `inttx:440.20' on page 249 undefined on input line 157
1.


LaTeX Warning: Citation `Hildebrand' on page 249 undefined on input line 1576.



LaTeX Warning: Reference `inttx:440.20' on page 250 undefined on input line 157
8.


LaTeX Warning: Reference `cexp:drvi' on page 250 undefined on input line 1582.


LaTeX Warning: Reference `inttx:440.20' on page 250 undefined on input line 159
3.


LaTeX Warning: Reference `inttx:440.20' on page 250 undefined on input line 159
5.



LaTeX Warning: Citation `Lebedev' on page 251 undefined on input line 1684.


LaTeX Warning: Citation `Andrews' on page 251 undefined on input line 1684.


LaTeX Warning: Citation `EWW' on page 251 undefined on input line 1684.


LaTeX Warning: Reference `alggeo:230:tbl' on page 251 undefined on input line 1
702.


LaTeX Warning: Reference `part30' on page 251 undefined on input line 1704.


LaTeX Warning: Reference `inttx:240' on page 251 undefined on input line 1707.



LaTeX Warning: Citation `Spiegel/Liu' on page 252 undefined on input line 1742.



LaTeX Warning: Citation `Shenk' on page 252 undefined on input line 1742.


LaTeX Warning: Reference `cexp:228' on page 252 undefined on input line 1753.


LaTeX Warning: Citation `Spiegel/Liu' on page 252 undefined on input line 1766.



LaTeX Warning: Citation `Shenk' on page 252 undefined on input line 1766.


LaTeX Warning: Reference `inttx:470:30' on page 252 undefined on input line 177
7.


LaTeX Warning: Citation `Spiegel/Liu' on page 252 undefined on input line 1779.




LaTeX Warning: Reference `inttx:470:tbl' on page 253 undefined on input line 17
96.


LaTeX Warning: Reference `inttx:210' on page 253 undefined on input line 1843.



LaTeX Warning: Reference `taylor:315:tbl' on page 254 undefined on input line 1
859.


LaTeX Warning: Reference `fouri:130' on page 254 undefined on input line 1888.

)
(./cubic.tex
Chapter 10.

LaTeX Warning: Reference `alggeo' on page 255 undefined on input line 13.


LaTeX Warning: Reference `inttx' on page 255 undefined on input line 13.


LaTeX Warning: Reference `matrix' on page 255 undefined on input line 16.


LaTeX Warning: Reference `alggeo:240' on page 255 undefined on input line 36.


LaTeX Warning: Reference `drvtv:NR' on page 255 undefined on input line 38.


LaTeX Warning: Reference `alggeo:240' on page 255 undefined on input line 40.


LaTeX Warning: Reference `drvtv:270' on page 255 undefined on input line 40.


LaTeX Warning: Reference `noth' on page 255 undefined on input line 55.


LaTeX Warning: Reference `noth:320:fn20' on page 255 undefined on input line 55
.


LaTeX Warning: Citation `EWW' on page 255 undefined on input line 72.


LaTeX Warning: Citation `EWW' on page 255 undefined on input line 72.


LaTeX Warning: Citation `wikip' on page 255 undefined on input line 72.


LaTeX Warning: Citation `wikip' on page 255 undefined on input line 72.


LaTeX Warning: Citation `wikip' on page 255 undefined on input line 72.


LaTeX Warning: Citation `SRW' on page 255 undefined on input line 72.



LaTeX Warning: Reference `cexp:250:cosh' on page 256 undefined on input line 12
0.


LaTeX Warning: Reference `cubic:200:10' on page 256 undefined on input line 128
.


LaTeX Warning: Citation `EWW' on page 256 undefined on input line 132.


LaTeX Warning: Reference `cubic:200:Vieta-fig' on page 256 undefined on input l
ine 140.


LaTeX Warning: Reference `cubic:200:10' on page 256 undefined on input line 145
.

[44]

LaTeX Warning: Reference `noth:420' on page 256 undefined on input line 188.


LaTeX Warning: Reference `cubic:220' on page 256 undefined on input line 191.



LaTeX Warning: Reference `cubic:220:10' on page 257 undefined on input line 238
.


LaTeX Warning: Reference `cubic:200:10' on page 257 undefined on input line 243
.


LaTeX Warning: Reference `cubic:220:25' on page 257 undefined on input line 247
.



LaTeX Warning: Reference `cubic:220:35' on page 258 undefined on input line 259
.


LaTeX Warning: Reference `alggeo:240:quad' on page 258 undefined on input line 
268.


LaTeX Warning: Reference `cubic:220:45' on page 258 undefined on input line 274
.


LaTeX Warning: Reference `noth:320.30' on page 258 undefined on input line 276.



LaTeX Warning: Reference `cubic:235' on page 258 undefined on input line 277.


LaTeX Warning: Reference `cubic:220:45' on page 258 undefined on input line 284
.


LaTeX Warning: Reference `cubic:220:25' on page 258 undefined on input line 291
.


LaTeX Warning: Reference `cubic:220:45' on page 258 undefined on input line 291
.


LaTeX Warning: Reference `cubic:cubic-table' on page 258 undefined on input lin
e 296.


LaTeX Warning: Citation `Spiegel/Liu' on page 258 undefined on input line 297.


LaTeX Warning: Reference `cubic:235' on page 258 undefined on input line 300.


LaTeX Warning: Reference `cubic:240' on page 258 undefined on input line 300.


LaTeX Warning: Reference `cubic:220' on page 258 undefined on input line 338.


LaTeX Warning: Reference `cubic:cubic-table' on page 258 undefined on input lin
e 339.


LaTeX Warning: Reference `noth:320.30' on page 258 undefined on input line 340.




Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `cubic:240' on page 260 undefined on input line 407.



LaTeX Warning: Reference `drvtv:270:35' on page 261 undefined on input line 428
.


LaTeX Warning: Reference `taylor:315:tbl' on page 261 undefined on input line 4
29.


LaTeX Warning: Reference `cubic:235' on page 261 undefined on input line 456.


LaTeX Warning: Reference `cubic:cubic-table' on page 261 undefined on input lin
e 461.


LaTeX Warning: Reference `cubic:235' on page 261 undefined on input line 465.


LaTeX Warning: Reference `cubic:235' on page 261 undefined on input line 476.


LaTeX Warning: Reference `cubic:cubic-table' on page 261 undefined on input lin
e 481.


LaTeX Warning: Reference `noth:320.30' on page 261 undefined on input line 488.




LaTeX Warning: Reference `cubic:235' on page 262 undefined on input line 501.


LaTeX Warning: Reference `cubic:220:55' on page 262 undefined on input line 510
.


LaTeX Warning: Reference `cubic:235' on page 262 undefined on input line 516.


LaTeX Warning: Reference `cubic:235' on page 262 undefined on input line 524.


Underfull \vbox (badness 7558) has occurred while \output is active

LaTeX Warning: Citation `EWW' on page 263 undefined on input line 587.


LaTeX Warning: Reference `cubic:250:30' on page 263 undefined on input line 587
.


LaTeX Warning: Reference `noth' on page 263 undefined on input line 587.


LaTeX Warning: Reference `noth:320:fn20' on page 263 undefined on input line 58
7.


LaTeX Warning: Reference `cubic:250:15' on page 263 undefined on input line 613
.


LaTeX Warning: Citation `EWW' on page 263 undefined on input line 615.



LaTeX Warning: Reference `alggeo:240' on page 264 undefined on input line 622.


LaTeX Warning: Reference `cubic:250:24' on page 264 undefined on input line 634
.


LaTeX Warning: Reference `cubic:250:25' on page 264 undefined on input line 634
.


LaTeX Warning: Reference `cubic:250:20' on page 264 undefined on input line 636
.


LaTeX Warning: Reference `cubic:250:24' on page 264 undefined on input line 642
.


LaTeX Warning: Reference `cubic:250:24' on page 264 undefined on input line 646
.


LaTeX Warning: Reference `cubic:250:27' on page 264 undefined on input line 656
.


LaTeX Warning: Reference `cubic:250:25' on page 264 undefined on input line 657
.


LaTeX Warning: Reference `cubic:250:30' on page 264 undefined on input line 667
.


LaTeX Warning: Reference `cubic:cubic-table' on page 264 undefined on input lin
e 668.


LaTeX Warning: Reference `cubic:250:32' on page 264 undefined on input line 670
.


LaTeX Warning: Reference `cubic:250:30' on page 264 undefined on input line 670
.


LaTeX Warning: Reference `cubic:250:27' on page 264 undefined on input line 671
.


LaTeX Warning: Reference `cubic:250:24' on page 264 undefined on input line 672
.



LaTeX Warning: Reference `cubic:250:30' on page 265 undefined on input line 682
.


LaTeX Warning: Reference `cubic:250:25' on page 265 undefined on input line 684
.


LaTeX Warning: Reference `cubic:250:32' on page 265 undefined on input line 686
.


LaTeX Warning: Reference `cubic:250:35' on page 265 undefined on input line 687
.


LaTeX Warning: Reference `alggeo:240:quad' on page 265 undefined on input line 
691.


LaTeX Warning: Reference `cubic:250:50' on page 265 undefined on input line 698
.


LaTeX Warning: Reference `cubic:250:50' on page 265 undefined on input line 702
.


LaTeX Warning: Reference `cubic:quartic-table' on page 265 undefined on input l
ine 710.


LaTeX Warning: Reference `cubic:cubic-table' on page 265 undefined on input lin
e 720.


LaTeX Warning: Reference `cubic:cubic-table' on page 265 undefined on input lin
e 720.


LaTeX Warning: Reference `cubic:cubic-table' on page 265 undefined on input lin
e 752.




LaTeX Warning: Reference `cubic:cubic-table' on page 267 undefined on input lin
e 781.


LaTeX Warning: Reference `cubic:quartic-table' on page 267 undefined on input l
ine 782.



LaTeX Warning: Citation `SRW' on page 268 undefined on input line 841.

)


(./matrix.tex
Chapter 11.

LaTeX Warning: Reference `alggeo' on page 271 undefined on input line 13.


LaTeX Warning: Reference `inttx' on page 271 undefined on input line 13.


LaTeX Warning: Reference `eigen' on page 271 undefined on input line 21.



LaTeX Warning: Reference `trig:230' on page 272 undefined on input line 105.


LaTeX Warning: Reference `matrix:120' on page 272 undefined on input line 115.


LaTeX Warning: Citation `Lay' on page 272 undefined on input line 182.


LaTeX Warning: Citation `Hefferon' on page 272 undefined on input line 182.


LaTeX Warning: Reference `gjrank:341' on page 272 undefined on input line 182.


LaTeX Warning: Reference `mtxinv' on page 272 undefined on input line 182.


LaTeX Warning: Reference `eigen' on page 272 undefined on input line 182.


LaTeX Warning: Reference `matrix' on page 272 undefined on input line 182.


LaTeX Warning: Reference `gjrank' on page 272 undefined on input line 182.



LaTeX Warning: Reference `matrix' on page 273 undefined on input line 184.


LaTeX Warning: Reference `eigen' on page 273 undefined on input line 184.


LaTeX Warning: Reference `matrix' on page 273 undefined on input line 185.


LaTeX Warning: Citation `Beattie' on page 273 undefined on input line 192.


LaTeX Warning: Citation `Franklin' on page 273 undefined on input line 192.


LaTeX Warning: Citation `Hefferon' on page 273 undefined on input line 192.


LaTeX Warning: Citation `Lay' on page 273 undefined on input line 192.


Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `integ:240.05' on page 274 undefined on input line 212
.


LaTeX Warning: Citation `Beattie' on page 274 undefined on input line 223.


LaTeX Warning: Citation `Lay' on page 274 undefined on input line 223.


LaTeX Warning: Reference `greek' on page 274 undefined on input line 271.


LaTeX Warning: Reference `matrix:180' on page 274 undefined on input line 288.




LaTeX Warning: Reference `matrix:000:40' on page 276 undefined on input line 34
9.


LaTeX Warning: Reference `matrix:000:40' on page 276 undefined on input line 37
5.


LaTeX Warning: Reference `matrix:000:30' on page 276 undefined on input line 39
5.



LaTeX Warning: Reference `matrix:230:10' on page 277 undefined on input line 41
4.


LaTeX Warning: Reference `matrix:000:40' on page 277 undefined on input line 43
3.


LaTeX Warning: Reference `matrix:230:10' on page 277 undefined on input line 43
4.


LaTeX Warning: Reference `matrix:230:20' on page 277 undefined on input line 43
5.


LaTeX Warning: Reference `matrix:000:40' on page 277 undefined on input line 44
0.


LaTeX Warning: Reference `matrix:330:25' on page 277 undefined on input line 44
3.




LaTeX Warning: Reference `alggeo:227' on page 279 undefined on input line 522.


LaTeX Warning: Reference `integ:670' on page 279 undefined on input line 542.


LaTeX Warning: Citation `wikip' on page 279 undefined on input line 544.


LaTeX Warning: Reference `matrix:150:sift0' on page 279 undefined on input line
 569.


LaTeX Warning: Reference `matrix:150:sift' on page 279 undefined on input line 
570.


LaTeX Warning: Reference `integ:670:sift0' on page 279 undefined on input line 
571.


LaTeX Warning: Reference `integ:670:sift' on page 279 undefined on input line 5
71.


LaTeX Warning: Reference `matrix' on page 279 undefined on input line 573.


LaTeX Warning: Reference `eigen' on page 279 undefined on input line 573.


LaTeX Warning: Reference `vector:240.30' on page 279 undefined on input line 57
4.



LaTeX Warning: Reference `matrix:000:40' on page 280 undefined on input line 63
4.



LaTeX Warning: Reference `matrix:180:05' on page 281 undefined on input line 69
0.


LaTeX Warning: Reference `matrix:120' on page 281 undefined on input line 709.


LaTeX Warning: Reference `gjrank' on page 281 undefined on input line 742.



LaTeX Warning: Reference `drvtv' on page 282 undefined on input line 792.


LaTeX Warning: Reference `integ' on page 282 undefined on input line 792.



LaTeX Warning: Reference `matrix:150' on page 283 undefined on input line 843.




LaTeX Warning: Reference `matrix:180.25' on page 285 undefined on input line 98
6.


LaTeX Warning: Reference `matrix:180.35' on page 285 undefined on input line 98
8.


LaTeX Warning: Reference `matrix:340' on page 285 undefined on input line 993.



LaTeX Warning: Reference `matrix:180.25' on page 286 undefined on input line 10
40.


LaTeX Warning: Reference `gjrank:340' on page 286 undefined on input line 1060.




LaTeX Warning: Reference `matrix:180.25' on page 287 undefined on input line 10
87.


LaTeX Warning: Reference `matrix:180.35' on page 287 undefined on input line 10
87.


LaTeX Warning: Reference `matrix:180:35' on page 287 undefined on input line 10
99.



LaTeX Warning: Reference `matrix:180:61' on page 288 undefined on input line 11
72.


LaTeX Warning: Reference `matrix:180:62' on page 288 undefined on input line 11
75.


LaTeX Warning: Reference `matrix:120.27' on page 288 undefined on input line 11
90.


LaTeX Warning: Reference `matrix:180' on page 288 undefined on input line 1199.



LaTeX Warning: Citation `Lay' on page 288 undefined on input line 1228.


LaTeX Warning: Reference `matrix:322' on page 288 undefined on input line 1228.





LaTeX Warning: Reference `matrix:180:35' on page 290 undefined on input line 13
30.


LaTeX Warning: Reference `matrix:320:39' on page 290 undefined on input line 13
35.


Overfull \hbox (0.34666pt too wide) in paragraph at lines 1333--1337
\OT1/cmr/m/n/10.95 Equa-tion ([]) lets an iden-tity ma-trix with suf-fi-ciently
 high rank pass through


LaTeX Warning: Reference `matrix:Txchg2' on page 291 undefined on input line 14
33.



LaTeX Warning: Reference `matrix:Txchg3' on page 292 undefined on input line 14
42.


LaTeX Warning: Reference `matrix:Txchg1' on page 292 undefined on input line 14
50.


LaTeX Warning: Reference `matrix:Txchg2' on page 292 undefined on input line 14
61.


LaTeX Warning: Reference `matrix:Txchg3' on page 292 undefined on input line 14
61.


LaTeX Warning: Reference `matrix:Txchg1' on page 292 undefined on input line 14
62.


LaTeX Warning: Reference `matrix:Txchg1' on page 292 undefined on input line 14
65.


LaTeX Warning: Reference `matrix:Txchg2' on page 292 undefined on input line 15
53.


LaTeX Warning: Reference `matrix:Txchg3' on page 292 undefined on input line 15
53.


LaTeX Warning: Reference `matrix:Txchg1' on page 292 undefined on input line 15
54.


LaTeX Warning: Reference `matrix:320:30' on page 292 undefined on input line 15
71.


LaTeX Warning: Reference `matrix:320' on page 292 undefined on input line 1576.






LaTeX Warning: Reference `gjrank' on page 295 undefined on input line 1588.


LaTeX Warning: Reference `mtxinv' on page 295 undefined on input line 1588.


LaTeX Warning: Reference `matrix:321:59' on page 295 undefined on input line 15
92.


LaTeX Warning: Reference `gjrank:337' on page 295 undefined on input line 1602.



LaTeX Warning: Reference `eigen:505' on page 295 undefined on input line 1603.


LaTeX Warning: Reference `matrix:321:70' on page 295 undefined on input line 16
20.


LaTeX Warning: Reference `matrix:120:30' on page 295 undefined on input line 16
21.


LaTeX Warning: Reference `matrix:321:10' on page 295 undefined on input line 16
36.


LaTeX Warning: Reference `matrix:321:10' on page 295 undefined on input line 16
45.


LaTeX Warning: Reference `matrix:321:70' on page 295 undefined on input line 16
52.


LaTeX Warning: Reference `matrix:321:80' on page 295 undefined on input line 16
53.


LaTeX Warning: Reference `matrix:180:35' on page 295 undefined on input line 16
54.


LaTeX Warning: Reference `matrix:321:60' on page 295 undefined on input line 16
55.


LaTeX Warning: Reference `mtxinv:230' on page 295 undefined on input line 1656.



LaTeX Warning: Reference `mtxinv' on page 295 undefined on input line 1659.


LaTeX Warning: Reference `gjrank' on page 295 undefined on input line 1660.



LaTeX Warning: Reference `matrix:321:tbl' on page 296 undefined on input line 1
662.


LaTeX Warning: Reference `drvtv:220.20' on page 296 undefined on input line 169
9.


Underfull \vbox (badness 2744) has occurred while \output is active


LaTeX Warning: Reference `matrix:320:fn10' on page 298 undefined on input line 
1775.


LaTeX Warning: Reference `matrix:320' on page 298 undefined on input line 1779.



LaTeX Warning: Reference `matrix:325.10' on page 298 undefined on input line 17
90.


LaTeX Warning: Reference `eigen:310' on page 298 undefined on input line 1791.


LaTeX Warning: Reference `matrix:320' on page 298 undefined on input line 1801.



LaTeX Warning: Reference `matrix:320:34' on page 298 undefined on input line 18
02.


LaTeX Warning: Reference `matrix:325.30' on page 298 undefined on input line 18
13.


Underfull \vbox (badness 7667) has occurred while \output is active

LaTeX Warning: Reference `matrix:320:34' on page 299 undefined on input line 18
58.


LaTeX Warning: Reference `matrix:320:30' on page 299 undefined on input line 18
58.


LaTeX Warning: Reference `matrix:320:50' on page 299 undefined on input line 18
58.


LaTeX Warning: Reference `matrix:120:33' on page 299 undefined on input line 18
59.


LaTeX Warning: Reference `matrix:322' on page 299 undefined on input line 1881.



LaTeX Warning: Reference `eigen:310' on page 299 undefined on input line 1887.



LaTeX Warning: Reference `matrix:325.10' on page 300 undefined on input line 19
10.


Underfull \vbox (badness 2503) has occurred while \output is active

LaTeX Warning: Reference `matrix:325.10' on page 301 undefined on input line 19
93.


LaTeX Warning: Reference `matrix:325.20' on page 301 undefined on input line 19
94.



Overfull \vbox (1.4848pt too high) has occurred while \output is active

LaTeX Warning: Reference `matrix:325' on page 303 undefined on input line 2105.




LaTeX Warning: Reference `eigen:520' on page 304 undefined on input line 2162.


LaTeX Warning: Reference `matrix:330:t18' on page 304 undefined on input line 2
169.


LaTeX Warning: Citation `wikip' on page 304 undefined on input line 2170.


LaTeX Warning: Reference `alggeo:227' on page 304 undefined on input line 2199.



LaTeX Warning: Reference `matrix:330:25' on page 304 undefined on input line 22
09.


LaTeX Warning: Reference `matrix:330:20' on page 304 undefined on input line 22
10.


LaTeX Warning: Reference `matrix:330:25' on page 304 undefined on input line 22
13.



LaTeX Warning: Reference `matrix:330:25' on page 305 undefined on input line 22
26.



LaTeX Warning: Reference `matrix:330:30' on page 306 undefined on input line 22
78.


LaTeX Warning: Reference `matrix:330:20' on page 306 undefined on input line 22
84.


LaTeX Warning: Reference `matrix:330:25' on page 306 undefined on input line 22
85.


LaTeX Warning: Reference `matrix:325:42' on page 306 undefined on input line 22
86.


LaTeX Warning: Reference `matrix:325:44' on page 306 undefined on input line 22
86.


LaTeX Warning: Reference `matrix:330:30' on page 306 undefined on input line 22
95.


Underfull \vbox (badness 4316) has occurred while \output is active


LaTeX Warning: Reference `matrix:Txchg1' on page 308 undefined on input line 23
79.


LaTeX Warning: Reference `matrix:330:20' on page 308 undefined on input line 24
03.


LaTeX Warning: Reference `matrix:330:55' on page 308 undefined on input line 24
04.


LaTeX Warning: Reference `matrix:330:56' on page 308 undefined on input line 24
17.


LaTeX Warning: Reference `matrix:330:56' on page 308 undefined on input line 24
17.



LaTeX Warning: Reference `matrix:330:t18' on page 309 undefined on input line 2
459.


LaTeX Warning: Reference `matrix:180:IMC' on page 309 undefined on input line 2
491.


LaTeX Warning: Reference `matrix:180:IMC' on page 309 undefined on input line 2
491.



Underfull \vbox (badness 10000) has occurred while \output is active

Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `matrix:330.50' on page 312 undefined on input line 26
36.


LaTeX Warning: Reference `matrix:180' on page 312 undefined on input line 2646.




LaTeX Warning: Reference `drvtv' on page 313 undefined on input line 2695.


LaTeX Warning: Citation `wikip' on page 313 undefined on input line 2712.



LaTeX Warning: Reference `drvtv:prod2' on page 314 undefined on input line 2727
.


LaTeX Warning: Reference `matrix:350:Jacobian-prod' on page 314 undefined on in
put line 2731.


LaTeX Warning: Reference `drvtv:defz' on page 314 undefined on input line 2745.



LaTeX Warning: Reference `matrix:340' on page 314 undefined on input line 2758.



LaTeX Warning: Reference `mtxinv' on page 314 undefined on input line 2761.


LaTeX Warning: Reference `eigen' on page 314 undefined on input line 2761.


LaTeX Warning: Reference `gjrank' on page 314 undefined on input line 2764.

)
(./gjrank.tex
Chapter 12.

LaTeX Warning: Reference `matrix' on page 315 undefined on input line 10.


LaTeX Warning: Reference `matrix:180.30' on page 315 undefined on input line 13
.


LaTeX Warning: Reference `matrix:180.25' on page 315 undefined on input line 14
.


LaTeX Warning: Reference `matrix:180.22' on page 315 undefined on input line 15
.


LaTeX Warning: Reference `matrix:180.35' on page 315 undefined on input line 16
.


LaTeX Warning: Reference `matrix:320' on page 315 undefined on input line 17.


LaTeX Warning: Reference `matrix:325' on page 315 undefined on input line 18.


LaTeX Warning: Reference `matrix:330' on page 315 undefined on input line 19.


LaTeX Warning: Reference `matrix:180' on page 315 undefined on input line 29.



LaTeX Warning: Reference `gjrank:337' on page 316 undefined on input line 41.


LaTeX Warning: Reference `mtxinv' on page 316 undefined on input line 45.


LaTeX Warning: Reference `eigen' on page 316 undefined on input line 46.


LaTeX Warning: Reference `gjrank:335:10' on page 316 undefined on input line 96
.



LaTeX Warning: Reference `gjrank:335:10' on page 317 undefined on input line 12
9.


LaTeX Warning: Reference `gjrank:335:10' on page 317 undefined on input line 14
8.


LaTeX Warning: Reference `trig:230' on page 317 undefined on input line 167.


LaTeX Warning: Reference `matrix:120' on page 317 undefined on input line 175.


LaTeX Warning: Reference `gjrank:340' on page 317 undefined on input line 178.


LaTeX Warning: Reference `matrix:321' on page 317 undefined on input line 189.


LaTeX Warning: Reference `matrix:321:60' on page 317 undefined on input line 18
9.


LaTeX Warning: Reference `gjrank:337:table' on page 317 undefined on input line
 198.


Overfull \hbox (2.77382pt too wide) in paragraph at lines 189--240
\OT1/cmr/m/n/10.95 Section [] and its ([]) have in-tro-duced the \OT1/cmr/m/it/
10.95 sim-i-lar-ity trans-for-ma-tion $\OML/cmm/m/it/10.95 CAC[]$


LaTeX Warning: Reference `matrix:330.30' on page 318 undefined on input line 24
4.


LaTeX Warning: Reference `gjrank:337:table' on page 318 undefined on input line
 245.


LaTeX Warning: Reference `matrix:325' on page 318 undefined on input line 248.


LaTeX Warning: Reference `matrix:330' on page 318 undefined on input line 248.


LaTeX Warning: Reference `gjrank:337:table' on page 318 undefined on input line
 252.


LaTeX Warning: Reference `gjrank:341' on page 318 undefined on input line 258.


LaTeX Warning: Reference `matrix:325.10' on page 318 undefined on input line 29
5.


LaTeX Warning: Reference `matrix:325.20' on page 318 undefined on input line 29
7.


LaTeX Warning: Reference `matrix:330' on page 318 undefined on input line 299.




LaTeX Warning: Reference `matrix:330.50' on page 320 undefined on input line 30
3.


LaTeX Warning: Reference `gjrank:341:GJ' on page 320 undefined on input line 31
3.


LaTeX Warning: Reference `gjrank:341:GJ' on page 320 undefined on input line 33
9.


LaTeX Warning: Reference `mtxinv:460' on page 320 undefined on input line 345.


LaTeX Warning: Reference `eigen:423' on page 320 undefined on input line 345.


LaTeX Warning: Reference `eigen:520' on page 320 undefined on input line 345.


LaTeX Warning: Reference `eigen:600' on page 320 undefined on input line 346.


LaTeX Warning: Reference `matrix:321:20' on page 320 undefined on input line 35
5.


LaTeX Warning: Reference `matrix:180.25' on page 320 undefined on input line 36
0.



LaTeX Warning: Reference `matrix:180.23' on page 321 undefined on input line 38
8.


LaTeX Warning: Reference `matrix:180.35' on page 321 undefined on input line 40
1.


Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `matrix:Txchg3' on page 322 undefined on input line 45
2.


LaTeX Warning: Reference `matrix:325.20' on page 322 undefined on input line 46
6.


LaTeX Warning: Reference `gjrank:341:GJ' on page 322 undefined on input line 49
3.


LaTeX Warning: Reference `gjrank:341:GJ' on page 322 undefined on input line 49
3.


LaTeX Warning: Reference `gjrank:341.10' on page 322 undefined on input line 51
0.


LaTeX Warning: Reference `gjrank:341:s75' on page 322 undefined on input line 5
10.



LaTeX Warning: Reference `gjrank:341:GJ' on page 323 undefined on input line 52
3.


LaTeX Warning: Reference `gjrank:341:GJ' on page 323 undefined on input line 53
1.


LaTeX Warning: Reference `gjrank:337' on page 323 undefined on input line 544.


LaTeX Warning: Reference `gjrank:341:05' on page 323 undefined on input line 55
3.



LaTeX Warning: Reference `gjrank:341:05' on page 324 undefined on input line 56
5.


LaTeX Warning: Reference `gjrank:341:GJ' on page 324 undefined on input line 56
6.


LaTeX Warning: Reference `gjrank:341.01' on page 324 undefined on input line 57
7.


LaTeX Warning: Reference `gjrank:341.05' on page 324 undefined on input line 57
8.


LaTeX Warning: Reference `gjrank:341:s10' on page 324 undefined on input line 5
84.


LaTeX Warning: Reference `gjrank:341:s18' on page 324 undefined on input line 5
87.


LaTeX Warning: Reference `gjrank:341:s50' on page 324 undefined on input line 5
88.


LaTeX Warning: Reference `gjrank:341:s55' on page 324 undefined on input line 5
90.


LaTeX Warning: Reference `gjrank:341:s60' on page 324 undefined on input line 5
93.


LaTeX Warning: Reference `gjrank:341:s85' on page 324 undefined on input line 5
94.


LaTeX Warning: Reference `gjrank:341:05' on page 324 undefined on input line 62
2.


LaTeX Warning: Reference `gjrank:341:s55' on page 324 undefined on input line 6
25.



LaTeX Warning: Reference `gjrank:341:s10' on page 325 undefined on input line 6
37.


LaTeX Warning: Reference `gjrank:341:s50' on page 325 undefined on input line 6
38.


LaTeX Warning: Reference `gjrank:341:s10' on page 325 undefined on input line 6
39.


LaTeX Warning: Reference `gjrank:341:s18' on page 325 undefined on input line 6
40.


LaTeX Warning: Reference `gjrank:341:s50' on page 325 undefined on input line 6
41.


LaTeX Warning: Reference `matrix:330' on page 325 undefined on input line 654.


LaTeX Warning: Reference `matrix:330.05' on page 325 undefined on input line 65
6.


Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Citation `Intel' on page 326 undefined on input line 730.


LaTeX Warning: Reference `gjrank:341:s55' on page 326 undefined on input line 7
56.


Underfull \vbox (badness 2591) has occurred while \output is active

LaTeX Warning: Reference `gjrank:341:05' on page 327 undefined on input line 76
0.


LaTeX Warning: Reference `gjrank:337:table' on page 327 undefined on input line
 789.


LaTeX Warning: Reference `gjrank:337:table' on page 327 undefined on input line
 796.



LaTeX Warning: Reference `gjrank:341:05' on page 328 undefined on input line 79
9.


LaTeX Warning: Reference `gjrank:337:table' on page 328 undefined on input line
 851.



LaTeX Warning: Reference `gjrank:341:05' on page 329 undefined on input line 85
3.


LaTeX Warning: Reference `matrix:325.30' on page 329 undefined on input line 90
5.



LaTeX Warning: Reference `gjrank:341:s18' on page 330 undefined on input line 9
11.


LaTeX Warning: Reference `gjrank:341:s50' on page 330 undefined on input line 9
17.


LaTeX Warning: Reference `gjrank:341:s50' on page 330 undefined on input line 9
18.


LaTeX Warning: Reference `gjrank:341:s55' on page 330 undefined on input line 9
26.


LaTeX Warning: Reference `gjrank:341:s70' on page 330 undefined on input line 9
27.


LaTeX Warning: Reference `gjrank:341:s75' on page 330 undefined on input line 9
28.


LaTeX Warning: Reference `gjrank:341:05' on page 330 undefined on input line 93
0.


Underfull \vbox (badness 1990) has occurred while \output is active

LaTeX Warning: Reference `gjrank:341:s45' on page 331 undefined on input line 9
73.


LaTeX Warning: Reference `matrix:325.30' on page 331 undefined on input line 97
6.


LaTeX Warning: Reference `gjrank:341:s60' on page 331 undefined on input line 9
78.


LaTeX Warning: Reference `gjrank:341:05' on page 331 undefined on input line 10
00.



LaTeX Warning: Reference `gjrank:341:s45' on page 332 undefined on input line 1
020.


LaTeX Warning: Reference `gjrank:341:s65' on page 332 undefined on input line 1
020.


LaTeX Warning: Reference `matrix:330.50' on page 332 undefined on input line 10
24.


LaTeX Warning: Reference `gjrank:341:GJ' on page 332 undefined on input line 10
39.


LaTeX Warning: Reference `gjrank:340' on page 332 undefined on input line 1041.



LaTeX Warning: Reference `gjrank:341:s20' on page 332 undefined on input line 1
044.


LaTeX Warning: Reference `gjrank:341.10' on page 332 undefined on input line 10
52.


LaTeX Warning: Reference `gjrank:341:s55' on page 332 undefined on input line 1
063.


LaTeX Warning: Reference `gjrank:341:s20' on page 332 undefined on input line 1
068.


LaTeX Warning: Reference `gjrank:341:s20' on page 332 undefined on input line 1
069.


LaTeX Warning: Reference `gjrank:341:s45' on page 332 undefined on input line 1
070.


LaTeX Warning: Reference `gjrank:335' on page 332 undefined on input line 1071.



LaTeX Warning: Reference `gjrank:341:s45' on page 332 undefined on input line 1
073.


LaTeX Warning: Reference `gjrank:341:s45' on page 332 undefined on input line 1
074.


LaTeX Warning: Reference `gjrank:341:s45' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:341:s20' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:341:s25' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:341:s45' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:341:s20' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:341:s25' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:341:s45' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:341:s45' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:341:s65' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:341:s20' on page 332 undefined on input line 1
100.


LaTeX Warning: Reference `gjrank:335:10' on page 332 undefined on input line 11
01.



LaTeX Warning: Reference `matrix:325' on page 333 undefined on input line 1109.



LaTeX Warning: Reference `matrix:330' on page 333 undefined on input line 1109.



LaTeX Warning: Reference `matrix:320:34' on page 333 undefined on input line 11
16.


LaTeX Warning: Reference `gjrank:341:s10' on page 333 undefined on input line 1
124.


LaTeX Warning: Reference `matrix:321' on page 333 undefined on input line 1138.



LaTeX Warning: Reference `gjrank:341:s40' on page 333 undefined on input line 1
143.



LaTeX Warning: Reference `gjrank:341:GJ' on page 334 undefined on input line 11
55.


LaTeX Warning: Reference `gjrank:341:GJinv' on page 334 undefined on input line
 1157.


LaTeX Warning: Reference `gjrank:341:GJ' on page 334 undefined on input line 11
64.


LaTeX Warning: Reference `matrix:180.35' on page 334 undefined on input line 11
65.


LaTeX Warning: Reference `matrix:180.25' on page 334 undefined on input line 11
71.


LaTeX Warning: Reference `gjrank:341:GJ' on page 334 undefined on input line 11
75.


LaTeX Warning: Reference `matrix:180.23' on page 334 undefined on input line 11
80.


LaTeX Warning: Reference `matrix:180:35' on page 334 undefined on input line 11
88.


LaTeX Warning: Reference `matrix:320:39' on page 334 undefined on input line 11
88.


LaTeX Warning: Reference `gjrank:341:GJt' on page 334 undefined on input line 1
201.


LaTeX Warning: Reference `gjrank:341:GJ' on page 334 undefined on input line 12
05.



LaTeX Warning: Reference `matrix:180' on page 335 undefined on input line 1241.



LaTeX Warning: Reference `gjrank:341:t34' on page 335 undefined on input line 1
251.


LaTeX Warning: Reference `matrix:325:11' on page 335 undefined on input line 12
78.


LaTeX Warning: Reference `matrix:330:t18' on page 335 undefined on input line 1
279.


LaTeX Warning: Reference `matrix' on page 335 undefined on input line 1285.


LaTeX Warning: Reference `mtxinv:245' on page 335 undefined on input line 1290.



LaTeX Warning: Reference `matrix:325' on page 335 undefined on input line 1294.



LaTeX Warning: Reference `matrix:330' on page 335 undefined on input line 1295.




LaTeX Warning: Reference `matrix:180:35' on page 336 undefined on input line 13
02.


LaTeX Warning: Reference `gjrank:341:GJ' on page 336 undefined on input line 13
03.


LaTeX Warning: Reference `gjrank:340' on page 336 undefined on input line 1317.



LaTeX Warning: Reference `mtxinv:220' on page 336 undefined on input line 1317.



LaTeX Warning: Reference `matrix:180.35' on page 336 undefined on input line 13
18.



LaTeX Warning: Reference `matrix' on page 337 undefined on input line 1345.


LaTeX Warning: Reference `matrix:340' on page 337 undefined on input line 1352.



LaTeX Warning: Reference `gjrank:341.40' on page 337 undefined on input line 13
63.


LaTeX Warning: Reference `matrix:180:35' on page 337 undefined on input line 13
63.


LaTeX Warning: Reference `matrix:180.23' on page 337 undefined on input line 13
86.


LaTeX Warning: Reference `matrix:340' on page 337 undefined on input line 1386.



LaTeX Warning: Reference `mtxinv:245:kernel' on page 337 undefined on input lin
e 1386.


LaTeX Warning: Reference `mtxinv:460' on page 337 undefined on input line 1391.



LaTeX Warning: Reference `eigen:423' on page 337 undefined on input line 1391.


LaTeX Warning: Reference `eigen:520' on page 337 undefined on input line 1392.


LaTeX Warning: Reference `eigen:600' on page 337 undefined on input line 1393.


LaTeX Warning: Reference `mtxinv' on page 337 undefined on input line 1398.



LaTeX Warning: Reference `gjrank:338:15' on page 338 undefined on input line 14
33.



LaTeX Warning: Reference `gjrank:338:17' on page 339 undefined on input line 14
62.


LaTeX Warning: Reference `gjrank:338:15' on page 339 undefined on input line 14
62.


LaTeX Warning: Reference `gjrank:338:table' on page 339 undefined on input line
 1469.


LaTeX Warning: Reference `gjrank:338' on page 339 undefined on input line 1471.



LaTeX Warning: Reference `gjrank:338:10' on page 339 undefined on input line 15
08.


LaTeX Warning: Reference `gjrank:338:17' on page 339 undefined on input line 15
11.



LaTeX Warning: Reference `gjrank:338:15' on page 340 undefined on input line 15
44.



LaTeX Warning: Reference `gjrank:335' on page 341 undefined on input line 1552.



LaTeX Warning: Reference `gjrank:338:15' on page 341 undefined on input line 15
61.


LaTeX Warning: Reference `gjrank:335' on page 341 undefined on input line 1564.



LaTeX Warning: Reference `matrix:180.22' on page 341 undefined on input line 15
76.


LaTeX Warning: Reference `matrix:180.23' on page 341 undefined on input line 15
76.



LaTeX Warning: Reference `gjrank:340.10' on page 342 undefined on input line 16
41.


LaTeX Warning: Reference `gjrank:340.10' on page 342 undefined on input line 16
48.


LaTeX Warning: Reference `gjrank:340.10' on page 342 undefined on input line 16
50.



LaTeX Warning: Reference `gjrank:340:10' on page 343 undefined on input line 17
26.


LaTeX Warning: Reference `matrix:180.22' on page 343 undefined on input line 17
34.


LaTeX Warning: Reference `gjrank:340:10' on page 343 undefined on input line 17
36.


LaTeX Warning: Reference `matrix:180.23' on page 343 undefined on input line 17
41.


LaTeX Warning: Reference `matrix:120.27' on page 343 undefined on input line 17
44.


LaTeX Warning: Reference `matrix:180.30' on page 343 undefined on input line 17
55.


LaTeX Warning: Reference `gjrank:340:11' on page 343 undefined on input line 17
56.


LaTeX Warning: Reference `gjrank:335' on page 343 undefined on input line 1763.



LaTeX Warning: Reference `gjrank:340:15' on page 343 undefined on input line 17
74.


LaTeX Warning: Reference `noth:220.10' on page 343 undefined on input line 1785
.


LaTeX Warning: Reference `gjrank:340:15' on page 343 undefined on input line 17
89.



LaTeX Warning: Reference `gjrank:338' on page 344 undefined on input line 1804.



LaTeX Warning: Reference `gjrank:338' on page 344 undefined on input line 1810.



LaTeX Warning: Reference `gjrank:340:15' on page 344 undefined on input line 18
15.


LaTeX Warning: Reference `gjrank:340.05' on page 344 undefined on input line 18
25.


LaTeX Warning: Reference `mtxinv:230' on page 344 undefined on input line 1828.



LaTeX Warning: Reference `gjrank:340:15' on page 344 undefined on input line 18
31.


LaTeX Warning: Reference `gjrank:340:15' on page 344 undefined on input line 18
47.


LaTeX Warning: Reference `gjrank:340:15' on page 344 undefined on input line 18
53.



LaTeX Warning: Reference `matrix:180.30' on page 345 undefined on input line 18
86.


LaTeX Warning: Reference `gjrank:340.05' on page 345 undefined on input line 19
13.



LaTeX Warning: Reference `gjrank:338' on page 346 undefined on input line 1930.



LaTeX Warning: Reference `gjrank:338' on page 346 undefined on input line 1933.



LaTeX Warning: Reference `gjrank:338' on page 346 undefined on input line 1959.



LaTeX Warning: Reference `gjrank:338' on page 346 undefined on input line 1969.




LaTeX Warning: Reference `gjrank:340:15' on page 347 undefined on input line 19
93.


LaTeX Warning: Reference `gjrank:340:11' on page 347 undefined on input line 20
10.


LaTeX Warning: Reference `gjrank:340:10' on page 347 undefined on input line 20
10.


LaTeX Warning: Reference `gjrank:340:10' on page 347 undefined on input line 20
16.


LaTeX Warning: Reference `gjrank:341:s55' on page 347 undefined on input line 2
028.


LaTeX Warning: Reference `gjrank:341.10' on page 347 undefined on input line 20
29.


LaTeX Warning: Reference `matrix:180.22' on page 347 undefined on input line 20
41.



LaTeX Warning: Reference `gjrank:340:20' on page 348 undefined on input line 20
63.


LaTeX Warning: Reference `gjrank:340.10' on page 348 undefined on input line 20
87.


LaTeX Warning: Reference `gjrank:340:10' on page 348 undefined on input line 20
88.


LaTeX Warning: Reference `gjrank:340:20' on page 348 undefined on input line 21
01.


LaTeX Warning: Reference `gjrank:341:GJ' on page 348 undefined on input line 21
01.


LaTeX Warning: Reference `gjrank:341:GJinv' on page 348 undefined on input line
 2102.



LaTeX Warning: Reference `matrix:120:30' on page 349 undefined on input line 21
12.


LaTeX Warning: Reference `matrix:120:33' on page 349 undefined on input line 21
13.


LaTeX Warning: Reference `gjrank:340:20' on page 349 undefined on input line 21
14.


LaTeX Warning: Reference `gjrank:340.30' on page 349 undefined on input line 21
25.


LaTeX Warning: Reference `gjrank:341:22' on page 349 undefined on input line 21
35.


LaTeX Warning: Reference `matrix:180.25' on page 349 undefined on input line 21
36.


LaTeX Warning: Reference `gjrank:335' on page 349 undefined on input line 2147.



LaTeX Warning: Reference `gjrank:340.20' on page 349 undefined on input line 21
56.



LaTeX Warning: Reference `gjrank:341.11' on page 350 undefined on input line 21
66.


LaTeX Warning: Reference `matrix:180.35' on page 350 undefined on input line 22
12.


LaTeX Warning: Reference `gjrank:340.25' on page 350 undefined on input line 22
28.



LaTeX Warning: Reference `mtxinv:230' on page 351 undefined on input line 2245.



LaTeX Warning: Reference `mtxinv:240' on page 351 undefined on input line 2246.



LaTeX Warning: Reference `mtxinv:320' on page 351 undefined on input line 2247.



LaTeX Warning: Reference `mtxinv' on page 351 undefined on input line 2248.



LaTeX Warning: Reference `gjrank:341:GJtC' on page 352 undefined on input line 
2305.


LaTeX Warning: Reference `mtxinv:460:70' on page 352 undefined on input line 23
08.


LaTeX Warning: Citation `Beattie' on page 352 undefined on input line 2313.


LaTeX Warning: Citation `planetm' on page 352 undefined on input line 2313.


LaTeX Warning: Reference `mtxinv:320.50' on page 352 undefined on input line 23
19.


LaTeX Warning: Reference `gjrank:341:GJ' on page 352 undefined on input line 23
35.


LaTeX Warning: Reference `gjrank:341:s20' on page 352 undefined on input line 2
341.


LaTeX Warning: Reference `gjrank:341:s75' on page 352 undefined on input line 2
348.


LaTeX Warning: Reference `gjrank:341:s75' on page 352 undefined on input line 2
349.


LaTeX Warning: Reference `gjrank:341:s75' on page 352 undefined on input line 2
352.


LaTeX Warning: Reference `gjrank:341:s20' on page 352 undefined on input line 2
356.


LaTeX Warning: Reference `gjrank:341:s25' on page 352 undefined on input line 2
360.


LaTeX Warning: Reference `gjrank:341:s20' on page 352 undefined on input line 2
371.



LaTeX Warning: Reference `gjrank:341:GJ' on page 353 undefined on input line 23
77.


LaTeX Warning: Reference `gjrank:341:s40' on page 353 undefined on input line 2
390.


LaTeX Warning: Reference `gjrank:340:60' on page 353 undefined on input line 23
91.


LaTeX Warning: Reference `gjrank:341:GJ' on page 353 undefined on input line 23
93.


LaTeX Warning: Reference `gjrank:340:60' on page 353 undefined on input line 24
00.


LaTeX Warning: Reference `gjrank:340:60' on page 353 undefined on input line 24
08.


LaTeX Warning: Reference `gjrank:340.20' on page 353 undefined on input line 24
15.


LaTeX Warning: Reference `gjrank:340.20' on page 353 undefined on input line 24
26.



)
(./mtxinv.tex
Chapter 13.

LaTeX Warning: Reference `matrix' on page 357 undefined on input line 9.


LaTeX Warning: Reference `gjrank' on page 357 undefined on input line 9.


LaTeX Warning: Reference `matrix:120.10' on page 357 undefined on input line 17
.


LaTeX Warning: Reference `gjrank:340.24' on page 357 undefined on input line 17
.


LaTeX Warning: Reference `gjrank' on page 357 undefined on input line 22.


LaTeX Warning: Reference `gjrank:340.24' on page 357 undefined on input line 22
.


LaTeX Warning: Reference `matrix' on page 357 undefined on input line 34.


LaTeX Warning: Reference `gjrank' on page 357 undefined on input line 34.


LaTeX Warning: Reference `trig:250:20' on page 357 undefined on input line 37.


LaTeX Warning: Reference `trig' on page 357 undefined on input line 38.


LaTeX Warning: Reference `mtxinv:320' on page 357 undefined on input line 45.


LaTeX Warning: Reference `eigen' on page 357 undefined on input line 51.



LaTeX Warning: Reference `mtxinv:220' on page 358 undefined on input line 60.


LaTeX Warning: Reference `mtxinv:230' on page 358 undefined on input line 62.


LaTeX Warning: Reference `mtxinv:245' on page 358 undefined on input line 62.


LaTeX Warning: Reference `mtxinv:240' on page 358 undefined on input line 64.


LaTeX Warning: Reference `mtxinv:320' on page 358 undefined on input line 64.


LaTeX Warning: Reference `mtxinv:420' on page 358 undefined on input line 68.


LaTeX Warning: Reference `mtxinv:445' on page 358 undefined on input line 69.


LaTeX Warning: Reference `mtxinv:465' on page 358 undefined on input line 70.


LaTeX Warning: Reference `matrix:180.35' on page 358 undefined on input line 85
.


LaTeX Warning: Reference `matrix' on page 358 undefined on input line 120.


LaTeX Warning: Reference `gjrank' on page 358 undefined on input line 120.


LaTeX Warning: Reference `mtxinv:240:50' on page 358 undefined on input line 12
0.


LaTeX Warning: Reference `eigen:600:SVD' on page 358 undefined on input line 12
0.


LaTeX Warning: Reference `matrix:180' on page 358 undefined on input line 120.


Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `matrix:180:35' on page 359 undefined on input line 12
8.


Underfull \vbox (badness 1968) has occurred while \output is active

LaTeX Warning: Reference `gjrank:341:GJ' on page 360 undefined on input line 16
1.


LaTeX Warning: Reference `gjrank:341:GJinv' on page 360 undefined on input line
 162.


LaTeX Warning: Reference `gjrank:341' on page 360 undefined on input line 162.


LaTeX Warning: Reference `mtxinv:220:20' on page 360 undefined on input line 16
8.


LaTeX Warning: Reference `matrix:321:20' on page 360 undefined on input line 17
2.


LaTeX Warning: Reference `matrix:321:20' on page 360 undefined on input line 17
7.


LaTeX Warning: Reference `matrix:321:10' on page 360 undefined on input line 17
8.


LaTeX Warning: Reference `mtxinv:220:20' on page 360 undefined on input line 17
9.


LaTeX Warning: Reference `mtxinv:220:20' on page 360 undefined on input line 18
8.


LaTeX Warning: Reference `gjrank:340.25' on page 360 undefined on input line 19
4.


LaTeX Warning: Reference `mtxinv:220:20' on page 360 undefined on input line 20
0.



LaTeX Warning: Reference `mtxinv:220:20' on page 361 undefined on input line 23
4.


LaTeX Warning: Reference `mtxinv:220:20' on page 361 undefined on input line 23
8.


LaTeX Warning: Reference `gjrank:340.20' on page 361 undefined on input line 23
9.


LaTeX Warning: Reference `mtxinv:220:20' on page 361 undefined on input line 24
2.


LaTeX Warning: Reference `gjrank:340.25' on page 361 undefined on input line 24
3.


LaTeX Warning: Reference `matrix:120.27' on page 361 undefined on input line 25
0.


LaTeX Warning: Reference `mtxinv:220:20' on page 361 undefined on input line 25
7.


LaTeX Warning: Reference `mtxinv:220:10' on page 361 undefined on input line 26
8.


LaTeX Warning: Reference `gjrank:340.10' on page 361 undefined on input line 27
8.


LaTeX Warning: Reference `gjrank:340.20' on page 361 undefined on input line 27
9.


LaTeX Warning: Reference `mtxinv:220:20' on page 361 undefined on input line 28
0.


LaTeX Warning: Reference `gjrank:340.20' on page 361 undefined on input line 29
5.


LaTeX Warning: Reference `gjrank:340.25' on page 361 undefined on input line 29
6.


LaTeX Warning: Reference `gjrank:340.24' on page 361 undefined on input line 29
9.


LaTeX Warning: Reference `mtxinv:240' on page 361 undefined on input line 299.


LaTeX Warning: Reference `mtxinv:320' on page 361 undefined on input line 299.



LaTeX Warning: Reference `matrix:120.10' on page 362 undefined on input line 31
2.


LaTeX Warning: Reference `mtxinv:230:10' on page 362 undefined on input line 32
2.


LaTeX Warning: Reference `mtxinv:230:10' on page 362 undefined on input line 32
4.


LaTeX Warning: Reference `mtxinv:220:20' on page 362 undefined on input line 32
5.


LaTeX Warning: Reference `mtxinv:220:10' on page 362 undefined on input line 32
5.


LaTeX Warning: Reference `mtxinv:230:15' on page 362 undefined on input line 33
1.


LaTeX Warning: Reference `mtxinv:230:15' on page 362 undefined on input line 33
6.


LaTeX Warning: Reference `mtxinv:230:15' on page 362 undefined on input line 33
9.


LaTeX Warning: Citation `Hefferon' on page 362 undefined on input line 367.


LaTeX Warning: Citation `Lay' on page 362 undefined on input line 367.


LaTeX Warning: Reference `mtxinv:230:15' on page 362 undefined on input line 36
7.


LaTeX Warning: Citation `Hefferon' on page 362 undefined on input line 367.


LaTeX Warning: Citation `Lay' on page 362 undefined on input line 367.


LaTeX Warning: Reference `eigen:370' on page 362 undefined on input line 367.


LaTeX Warning: Reference `matrix' on page 362 undefined on input line 367.


LaTeX Warning: Reference `gjrank' on page 362 undefined on input line 367.


LaTeX Warning: Reference `mtxinv:230:15' on page 362 undefined on input line 37
1.



LaTeX Warning: Reference `mtxinv:320' on page 363 undefined on input line 385.


LaTeX Warning: Reference `gjrank:340.24' on page 363 undefined on input line 38
5.


LaTeX Warning: Reference `gjrank:340.25' on page 363 undefined on input line 39
6.


LaTeX Warning: Reference `mtxinv:245:05' on page 363 undefined on input line 40
2.


LaTeX Warning: Reference `mtxinv:245:05' on page 363 undefined on input line 40
4.


LaTeX Warning: Reference `matrix:321:20' on page 363 undefined on input line 42
4.



LaTeX Warning: Reference `mtxinv:245:kernel' on page 364 undefined on input lin
e 463.


LaTeX Warning: Reference `gjrank:341:GJinv' on page 364 undefined on input line
 470.


LaTeX Warning: Reference `matrix:340' on page 364 undefined on input line 471.


LaTeX Warning: Reference `mtxinv:245.10' on page 364 undefined on input line 47
2.


LaTeX Warning: Reference `mtxinv:245:kernel' on page 364 undefined on input lin
e 483.


LaTeX Warning: Reference `mtxinv:245:05' on page 364 undefined on input line 49
0.


LaTeX Warning: Reference `mtxinv:240' on page 364 undefined on input line 491.


LaTeX Warning: Reference `gjrank:341:t34' on page 364 undefined on input line 4
99.


LaTeX Warning: Reference `gjrank:341:t34' on page 364 undefined on input line 5
00.



LaTeX Warning: Reference `mtxinv:245:30' on page 365 undefined on input line 51
4.


LaTeX Warning: Reference `matrix' on page 365 undefined on input line 526.


LaTeX Warning: Reference `gjrank' on page 365 undefined on input line 526.


LaTeX Warning: Reference `mtxinv:245:30' on page 365 undefined on input line 52
9.


LaTeX Warning: Reference `mtxinv:245:30' on page 365 undefined on input line 53
0.


LaTeX Warning: Reference `mtxinv:245:30' on page 365 undefined on input line 54
0.


LaTeX Warning: Reference `mtxinv:245:05' on page 365 undefined on input line 56
1.



LaTeX Warning: Reference `mtxinv:245:10' on page 366 undefined on input line 58
5.


LaTeX Warning: Reference `mtxinv:245:42' on page 366 undefined on input line 63
2.


LaTeX Warning: Reference `matrix:340:61' on page 366 undefined on input line 63
3.


LaTeX Warning: Reference `mtxinv:245:41' on page 366 undefined on input line 63
4.



LaTeX Warning: Reference `gjrank:341:t34' on page 367 undefined on input line 6
41.


LaTeX Warning: Reference `mtxinv:245:33' on page 367 undefined on input line 64
3.


LaTeX Warning: Reference `mtxinv:245:33' on page 367 undefined on input line 64
4.


LaTeX Warning: Reference `mtxinv:245:34' on page 367 undefined on input line 65
5.


LaTeX Warning: Reference `gjrank:341:t34' on page 367 undefined on input line 6
58.


LaTeX Warning: Reference `mtxinv:245:35' on page 367 undefined on input line 67
8.


LaTeX Warning: Reference `mtxinv:245:36' on page 367 undefined on input line 67
8.


LaTeX Warning: Reference `mtxinv:245:33' on page 367 undefined on input line 67
9.


LaTeX Warning: Reference `gjrank:341:t34' on page 367 undefined on input line 6
91.



LaTeX Warning: Reference `matrix:340:61' on page 368 undefined on input line 69
6.


LaTeX Warning: Reference `mtxinv:245:34' on page 368 undefined on input line 69
7.


LaTeX Warning: Reference `mtxinv:245:34' on page 368 undefined on input line 69
8.


LaTeX Warning: Reference `mtxinv:245:kernel' on page 368 undefined on input lin
e 699.


LaTeX Warning: Reference `mtxinv:245:kernel' on page 368 undefined on input lin
e 704.


LaTeX Warning: Reference `mtxinv:245:41' on page 368 undefined on input line 71
3.


LaTeX Warning: Reference `mtxinv:245:kernel' on page 368 undefined on input lin
e 715.


LaTeX Warning: Reference `mtxinv:245:10' on page 368 undefined on input line 72
4.


LaTeX Warning: Reference `gjrank:338' on page 368 undefined on input line 737.


LaTeX Warning: Reference `gjrank:340.05' on page 368 undefined on input line 74
2.


LaTeX Warning: Reference `gjrank:340.10' on page 368 undefined on input line 74
2.


LaTeX Warning: Reference `mtxinv:QR' on page 368 undefined on input line 745.




LaTeX Warning: Reference `mtxinv:245:49' on page 370 undefined on input line 87
5.


LaTeX Warning: Reference `mtxinv:230' on page 370 undefined on input line 892.


Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `gjrank:340.25' on page 371 undefined on input line 89
9.


LaTeX Warning: Reference `mtxinv:230' on page 371 undefined on input line 904.


LaTeX Warning: Reference `mtxinv:240:05' on page 371 undefined on input line 91
7.


LaTeX Warning: Reference `mtxinv:240:05' on page 371 undefined on input line 92
9.


LaTeX Warning: Reference `mtxinv:240:20' on page 371 undefined on input line 93
1.


LaTeX Warning: Reference `mtxinv:240:05' on page 371 undefined on input line 93
5.


LaTeX Warning: Reference `mtxinv:240:05' on page 371 undefined on input line 93
9.


LaTeX Warning: Reference `mtxinv:245:kernel' on page 371 undefined on input lin
e 944.


LaTeX Warning: Reference `mtxinv:240:05' on page 371 undefined on input line 94
6.


LaTeX Warning: Reference `mtxinv:240.30' on page 371 undefined on input line 94
7.


LaTeX Warning: Reference `mtxinv:245:49' on page 371 undefined on input line 95
7.



LaTeX Warning: Reference `mtxinv:240:20' on page 372 undefined on input line 96
7.


LaTeX Warning: Reference `mtxinv:245:kernel' on page 372 undefined on input lin
e 995.


LaTeX Warning: Reference `mtxinv:240:20' on page 372 undefined on input line 99
5.


LaTeX Warning: Reference `mtxinv:240:25' on page 372 undefined on input line 99
6.


LaTeX Warning: Reference `gjrank:341:GJinv' on page 372 undefined on input line
 996.


LaTeX Warning: Reference `mtxinv:240:05' on page 372 undefined on input line 10
01.


LaTeX Warning: Reference `mtxinv:240:50' on page 372 undefined on input line 10
06.


LaTeX Warning: Reference `mtxinv:240:50' on page 372 undefined on input line 10
07.


LaTeX Warning: Reference `mtxinv:240:50' on page 372 undefined on input line 10
65.


LaTeX Warning: Reference `mtxinv:240:50' on page 372 undefined on input line 10
67.



LaTeX Warning: Reference `mtxinv:240:50' on page 373 undefined on input line 10
73.


LaTeX Warning: Reference `eigen:470' on page 373 undefined on input line 1077.


LaTeX Warning: Reference `mtxinv:220:20' on page 373 undefined on input line 10
86.


LaTeX Warning: Reference `mtxinv:230:15' on page 373 undefined on input line 10
86.


LaTeX Warning: Reference `mtxinv:240:50' on page 373 undefined on input line 10
88.


LaTeX Warning: Reference `gjrank:340.24' on page 373 undefined on input line 10
95.



LaTeX Warning: Reference `greek' on page 374 undefined on input line 1116.


LaTeX Warning: Citation `vdVorst' on page 374 undefined on input line 1121.


LaTeX Warning: Citation `Peterson/Mittra:1986' on page 374 undefined on input l
ine 1121.


LaTeX Warning: Reference `mtxinv:315:05' on page 374 undefined on input line 11
26.


LaTeX Warning: Reference `mtxinv:320:fig1' on page 374 undefined on input line 
1163.


LaTeX Warning: Reference `mtxinv:220' on page 374 undefined on input line 1170.



LaTeX Warning: Reference `mtxinv:230' on page 374 undefined on input line 1170.


[45]

LaTeX Warning: Reference `mtxinv:245.70' on page 375 undefined on input line 12
87.


LaTeX Warning: Reference `mtxinv:245.70' on page 375 undefined on input line 12
87.


LaTeX Warning: Reference `mtxinv:315' on page 375 undefined on input line 1293.



LaTeX Warning: Reference `mtxinv:315:05' on page 375 undefined on input line 13
10.



LaTeX Warning: Reference `matrix:350' on page 376 undefined on input line 1339.



LaTeX Warning: Reference `matrix:350:Jacobian-prod' on page 376 undefined on in
put line 1345.


LaTeX Warning: Reference `mtxinv:320.30' on page 376 undefined on input line 13
57.


LaTeX Warning: Reference `mtxinv:315:05' on page 376 undefined on input line 13
63.


LaTeX Warning: Reference `mtxinv:320:leastsq' on page 376 undefined on input li
ne 1367.


LaTeX Warning: Reference `mtxinv:320:fig1' on page 376 undefined on input line 
1368.


LaTeX Warning: Reference `mtxinv:residual-norm' on page 376 undefined on input 
line 1372.


LaTeX Warning: Reference `mtxinv:residual-norm' on page 376 undefined on input 
line 1422.


LaTeX Warning: Reference `noth:420' on page 376 undefined on input line 1422.


LaTeX Warning: Reference `mtxinv:320.20' on page 376 undefined on input line 14
28.



LaTeX Warning: Reference `mtxinv:220' on page 377 undefined on input line 1447.



LaTeX Warning: Reference `gjrank:340.25' on page 377 undefined on input line 14
48.



LaTeX Warning: Reference `mtxinv:320.30' on page 378 undefined on input line 14
88.


LaTeX Warning: Reference `mtxinv:320:34' on page 378 undefined on input line 14
91.


LaTeX Warning: Reference `mtxinv:445' on page 378 undefined on input line 1510.



LaTeX Warning: Reference `gjrank:340:26' on page 378 undefined on input line 15
21.


LaTeX Warning: Reference `mtxinv:315:95' on page 378 undefined on input line 15
27.



LaTeX Warning: Reference `gjrank:341:GJ' on page 379 undefined on input line 15
35.


LaTeX Warning: Reference `mtxinv:320:leastsq' on page 379 undefined on input li
ne 1538.


LaTeX Warning: Reference `mtxinv:315:05' on page 379 undefined on input line 15
38.


LaTeX Warning: Reference `mtxinv:320:50' on page 379 undefined on input line 15
61.


LaTeX Warning: Reference `mtxinv:320.30' on page 379 undefined on input line 15
62.


LaTeX Warning: Reference `mtxinv:320:50' on page 379 undefined on input line 15
66.


LaTeX Warning: Reference `mtxinv:320:50' on page 379 undefined on input line 15
68.


LaTeX Warning: Reference `mtxinv:320:50' on page 379 undefined on input line 15
73.


LaTeX Warning: Reference `mtxinv:320:leastsq' on page 379 undefined on input li
ne 1573.


LaTeX Warning: Reference `mtxinv:320:50' on page 379 undefined on input line 15
78.



LaTeX Warning: Reference `mtxinv:320:50' on page 380 undefined on input line 15
90.


LaTeX Warning: Reference `mtxinv:residual' on page 380 undefined on input line 
1590.


LaTeX Warning: Reference `mtxinv:320:50' on page 380 undefined on input line 16
09.


LaTeX Warning: Reference `noth:420.20' on page 380 undefined on input line 1627
.


LaTeX Warning: Reference `inttx:250' on page 380 undefined on input line 1627.


LaTeX Warning: Reference `noth' on page 380 undefined on input line 1627.


LaTeX Warning: Reference `noth:420:85' on page 380 undefined on input line 1627
.


LaTeX Warning: Reference `mtxinv:320.34' on page 380 undefined on input line 16
31.


LaTeX Warning: Reference `mtxinv:320:50' on page 380 undefined on input line 16
36.



LaTeX Warning: Reference `mtxinv:320:50' on page 381 undefined on input line 16
59.



LaTeX Warning: Reference `mtxinv:320:50' on page 382 undefined on input line 17
10.


LaTeX Warning: Reference `mtxinv:315:05' on page 382 undefined on input line 17
18.


LaTeX Warning: Reference `mtxinv:320:70' on page 382 undefined on input line 17
22.


LaTeX Warning: Reference `mtxinv:240:25' on page 382 undefined on input line 17
27.


LaTeX Warning: Reference `mtxinv:320:fig1' on page 382 undefined on input line 
1729.


LaTeX Warning: Citation `Beattie' on page 382 undefined on input line 1742.


LaTeX Warning: Citation `planetm' on page 382 undefined on input line 1742.


LaTeX Warning: Citation `Gujarati' on page 382 undefined on input line 1742.


LaTeX Warning: Reference `drvtv:270' on page 382 undefined on input line 1754.



LaTeX Warning: Reference `matrix:350' on page 383 undefined on input line 1768.



LaTeX Warning: Reference `mtxinv:320' on page 383 undefined on input line 1783.



LaTeX Warning: Reference `mtxinv:220' on page 383 undefined on input line 1784.



LaTeX Warning: Reference `drvtv:270' on page 383 undefined on input line 1786.


LaTeX Warning: Reference `drvtv:270:fig1' on page 383 undefined on input line 1
786.


LaTeX Warning: Citation `Scales-lecture' on page 383 undefined on input line 17
89.


LaTeX Warning: Reference `mtxinv:NR' on page 383 undefined on input line 1791.


LaTeX Warning: Reference `mtxinv:psinv' on page 383 undefined on input line 179
4.


LaTeX Warning: Reference `mtxinv:psinv' on page 383 undefined on input line 182
3.


LaTeX Warning: Reference `mtxinv:420:70' on page 383 undefined on input line 18
25.


LaTeX Warning: Reference `drvtv:270:fig1' on page 383 undefined on input line 1
826.


LaTeX Warning: Citation `Beattie' on page 383 undefined on input line 1861.


LaTeX Warning: Citation `Franklin' on page 383 undefined on input line 1861.


LaTeX Warning: Citation `HFDavis' on page 383 undefined on input line 1861.



LaTeX Warning: Reference `matrix:150' on page 384 undefined on input line 1879.




LaTeX Warning: Reference `alggeo:323:20' on page 385 undefined on input line 19
59.


LaTeX Warning: Reference `trig:278:triangle2' on page 385 undefined on input li
ne 1960.


LaTeX Warning: Reference `mtxinv:447.30' on page 385 undefined on input line 19
66.


LaTeX Warning: Reference `mtxinv:447:10' on page 385 undefined on input line 19
68.


LaTeX Warning: Reference `mtxinv:447.20' on page 385 undefined on input line 19
68.


LaTeX Warning: Reference `trig' on page 385 undefined on input line 1998.


LaTeX Warning: Reference `vector' on page 385 undefined on input line 1998.


LaTeX Warning: Reference `mtxinv:schwarz' on page 385 undefined on input line 1
999.


LaTeX Warning: Citation `Wu/Wu' on page 385 undefined on input line 2006.


LaTeX Warning: Citation `HFDavis' on page 385 undefined on input line 2006.


LaTeX Warning: Citation `wikip' on page 385 undefined on input line 2006.



LaTeX Warning: Reference `alggeo:225:24' on page 386 undefined on input line 20
16.


LaTeX Warning: Reference `mtxinv:445:dotmag' on page 386 undefined on input lin
e 2016.



LaTeX Warning: Reference `mtxinv:schwarz' on page 387 undefined on input line 2
070.


LaTeX Warning: Reference `mtxinv:447:10' on page 387 undefined on input line 20
77.


LaTeX Warning: Reference `mtxinv:445:dotmag' on page 387 undefined on input lin
e 2083.


LaTeX Warning: Reference `mtxinv:schwarz' on page 387 undefined on input line 2
100.


LaTeX Warning: Reference `mtxinv:447:10' on page 387 undefined on input line 21
09.



LaTeX Warning: Reference `mtxinv:447:10' on page 388 undefined on input line 21
32.


LaTeX Warning: Citation `HFDavis' on page 388 undefined on input line 2137.


LaTeX Warning: Reference `trig:278' on page 388 undefined on input line 2139.


LaTeX Warning: Reference `mtxinv:245' on page 388 undefined on input line 2154.



LaTeX Warning: Citation `Hefferon' on page 388 undefined on input line 2164.


LaTeX Warning: Citation `Beattie' on page 388 undefined on input line 2164.


LaTeX Warning: Citation `Lay' on page 388 undefined on input line 2164.


LaTeX Warning: Reference `mtxinv:450:20' on page 388 undefined on input line 21
64.


LaTeX Warning: Reference `mtxinv:245:08' on page 388 undefined on input line 21
64.


LaTeX Warning: Citation `Hefferon' on page 388 undefined on input line 2179.



LaTeX Warning: Reference `mtxinv:245' on page 389 undefined on input line 2209.



LaTeX Warning: Reference `mtxinv:445:20' on page 389 undefined on input line 22
18.


LaTeX Warning: Reference `eigen' on page 389 undefined on input line 2220.


LaTeX Warning: Reference `mtxinv:445:20' on page 389 undefined on input line 22
50.


LaTeX Warning: Reference `mtxinv:445:25' on page 389 undefined on input line 22
51.



LaTeX Warning: Reference `mtxinv:445:20' on page 390 undefined on input line 22
76.


LaTeX Warning: Reference `mtxinv:460:34' on page 390 undefined on input line 22
78.


LaTeX Warning: Reference `mtxinv:460:35' on page 390 undefined on input line 22
78.


LaTeX Warning: Reference `gjrank:338' on page 390 undefined on input line 2304.



LaTeX Warning: Reference `mtxinv:460:10' on page 390 undefined on input line 23
05.


LaTeX Warning: Reference `mtxinv:460:50' on page 390 undefined on input line 23
26.


LaTeX Warning: Reference `mtxinv:460:34' on page 390 undefined on input line 23
32.


LaTeX Warning: Reference `mtxinv:460:50' on page 390 undefined on input line 23
34.



LaTeX Warning: Reference `mtxinv:460:55' on page 391 undefined on input line 23
48.


LaTeX Warning: Citation `wikip' on page 391 undefined on input line 2357.


LaTeX Warning: Reference `gjrank:341.10' on page 391 undefined on input line 23
86.


LaTeX Warning: Reference `gjrank:341:05' on page 391 undefined on input line 23
86.


LaTeX Warning: Reference `mtxinv:460:50' on page 391 undefined on input line 23
91.


LaTeX Warning: Reference `mtxinv:460:55' on page 391 undefined on input line 23
91.


LaTeX Warning: Reference `gjrank:337:table' on page 391 undefined on input line
 2395.


LaTeX Warning: Reference `mtxinv:QR' on page 391 undefined on input line 2397.


LaTeX Warning: Reference `mtxinv:460:50' on page 391 undefined on input line 24
03.


LaTeX Warning: Reference `mtxinv:460:55' on page 391 undefined on input line 24
03.



LaTeX Warning: Reference `mtxinv:460:55' on page 392 undefined on input line 24
17.


LaTeX Warning: Reference `mtxinv:461:s20' on page 392 undefined on input line 2
432.


LaTeX Warning: Reference `mtxinv:461:s10' on page 392 undefined on input line 2
451.


LaTeX Warning: Reference `mtxinv:461:s80' on page 392 undefined on input line 2
453.


LaTeX Warning: Reference `matrix:330.05' on page 392 undefined on input line 24
55.


LaTeX Warning: Reference `matrix:325.20' on page 392 undefined on input line 24
56.


LaTeX Warning: Reference `matrix:325.10' on page 392 undefined on input line 24
58.


LaTeX Warning: Reference `mtxinv:461:s90' on page 392 undefined on input line 2
472.



LaTeX Warning: Reference `mtxinv:460:60' on page 393 undefined on input line 24
75.


LaTeX Warning: Reference `gjrank:337:table' on page 393 undefined on input line
 2490.


LaTeX Warning: Reference `mtxinv:460:60' on page 393 undefined on input line 25
01.


LaTeX Warning: Reference `mtxinv:461:s40' on page 393 undefined on input line 2
530.


LaTeX Warning: Reference `mtxinv:461:s60' on page 393 undefined on input line 2
531.


LaTeX Warning: Reference `mtxinv:461:s80' on page 393 undefined on input line 2
532.


LaTeX Warning: Reference `mtxinv:460:60' on page 393 undefined on input line 25
33.


LaTeX Warning: Reference `mtxinv:460:55' on page 393 undefined on input line 25
42.



LaTeX Warning: Reference `mtxinv:461:s50' on page 394 undefined on input line 2
558.


LaTeX Warning: Reference `mtxinv:461:s15' on page 394 undefined on input line 2
564.


LaTeX Warning: Reference `mtxinv:QR' on page 394 undefined on input line 2593.


LaTeX Warning: Reference `gjrank:340.60' on page 394 undefined on input line 25
96.


LaTeX Warning: Reference `mtxinv:461:s20' on page 394 undefined on input line 2
600.


LaTeX Warning: Reference `mtxinv:QR' on page 394 undefined on input line 2608.


LaTeX Warning: Reference `gjrank:340:26' on page 394 undefined on input line 26
16.


LaTeX Warning: Reference `mtxinv:psinv' on page 394 undefined on input line 261
8.


LaTeX Warning: Reference `mtxinv:QRinv' on page 394 undefined on input line 261
8.


LaTeX Warning: Reference `mtxinv:QR' on page 394 undefined on input line 2622.


LaTeX Warning: Reference `mtxinv:465' on page 394 undefined on input line 2628.




LaTeX Warning: Reference `mtxinv:460.40' on page 395 undefined on input line 26
31.


LaTeX Warning: Reference `mtxinv:450:perp' on page 395 undefined on input line 
2644.


LaTeX Warning: Reference `mtxinv:461:s20' on page 395 undefined on input line 2
655.


LaTeX Warning: Reference `mtxinv:461:s50' on page 395 undefined on input line 2
656.


LaTeX Warning: Reference `mtxinv:460:74' on page 395 undefined on input line 26
58.


LaTeX Warning: Reference `mtxinv:450' on page 395 undefined on input line 2671.



LaTeX Warning: Reference `mtxinv:460:perp0' on page 395 undefined on input line
 2679.



LaTeX Warning: Reference `mtxinv:245:kernel' on page 396 undefined on input lin
e 2701.


LaTeX Warning: Reference `mtxinv:460:perp' on page 396 undefined on input line 
2704.


LaTeX Warning: Reference `mtxinv:460:perp' on page 396 undefined on input line 
2705.


LaTeX Warning: Reference `mtxinv:450:perp' on page 396 undefined on input line 
2706.


LaTeX Warning: Reference `mtxinv:245:kernel' on page 396 undefined on input lin
e 2707.


LaTeX Warning: Reference `mtxinv:465' on page 396 undefined on input line 2710.



Underfull \hbox (badness 1484) in paragraph at lines 2700--2712
\OT1/cmr/m/n/10.95 of ([]) to ac-com-pany the Gram-Schmidt or-thog-o-nal com-pl
e-ment of

LaTeX Warning: Reference `mtxinv:QR' on page 396 undefined on input line 2723.


LaTeX Warning: Citation `Franklin' on page 396 undefined on input line 2735.


LaTeX Warning: Reference `mtxinv:220' on page 396 undefined on input line 2737.



LaTeX Warning: Reference `mtxinv:unitary' on page 396 undefined on input line 2
744.


LaTeX Warning: Reference `matrix:325.10' on page 396 undefined on input line 27
46.


LaTeX Warning: Reference `mtxinv:465:15' on page 396 undefined on input line 27
47.


LaTeX Warning: Reference `mtxinv:unitary' on page 396 undefined on input line 2
752.



LaTeX Warning: Reference `matrix:120.27' on page 397 undefined on input line 27
66.


LaTeX Warning: Reference `mtxinv:unitary' on page 397 undefined on input line 2
802.


LaTeX Warning: Reference `mtxinv:465:15' on page 397 undefined on input line 28
12.


LaTeX Warning: Reference `mtxinv:QR' on page 397 undefined on input line 2813.


LaTeX Warning: Reference `mtxinv:unitary' on page 397 undefined on input line 2
827.



LaTeX Warning: Reference `eigen:520' on page 398 undefined on input line 2832.


LaTeX Warning: Reference `eigen:600' on page 398 undefined on input line 2832.


LaTeX Warning: Reference `eigen' on page 398 undefined on input line 2846.

)
(./eigen.tex
Chapter 14.

LaTeX Warning: Reference `matrix' on page 399 undefined on input line 17.


LaTeX Warning: Reference `eigen' on page 399 undefined on input line 17.


LaTeX Warning: Reference `eigen:370' on page 399 undefined on input line 18.


LaTeX Warning: Reference `matrix' on page 399 undefined on input line 28.


LaTeX Warning: Reference `gjrank' on page 399 undefined on input line 28.


LaTeX Warning: Reference `mtxinv' on page 399 undefined on input line 28.


LaTeX Warning: Reference `matrix:322' on page 399 undefined on input line 38.


LaTeX Warning: Reference `matrix:325.10' on page 399 undefined on input line 39
.



LaTeX Warning: Reference `matrix:325.10' on page 400 undefined on input line 98
.



LaTeX Warning: Reference `matrix:180.22' on page 401 undefined on input line 12
6.


LaTeX Warning: Reference `matrix:321' on page 401 undefined on input line 126.


LaTeX Warning: Reference `matrix:321:20' on page 401 undefined on input line 12
7.


LaTeX Warning: Reference `mtxinv' on page 401 undefined on input line 131.


LaTeX Warning: Reference `mtxinv:245:08' on page 401 undefined on input line 13
1.


LaTeX Warning: Reference `mtxinv:450:08' on page 401 undefined on input line 13
1.


LaTeX Warning: Citation `Franklin' on page 401 undefined on input line 135.


LaTeX Warning: Citation `Franklin' on page 401 undefined on input line 145.



LaTeX Warning: Reference `eigen:310:11' on page 402 undefined on input line 197
.


LaTeX Warning: Reference `integ:240.05' on page 402 undefined on input line 198
.


LaTeX Warning: Reference `matrix:000:20' on page 402 undefined on input line 19
9.


LaTeX Warning: Reference `eigen:310:12' on page 402 undefined on input line 224
.


LaTeX Warning: Reference `integ:240.05' on page 402 undefined on input line 225
.


LaTeX Warning: Reference `matrix:000:20' on page 402 undefined on input line 22
5.



LaTeX Warning: Reference `eigen:310:11' on page 403 undefined on input line 274
.


LaTeX Warning: Reference `eigen:310:12' on page 403 undefined on input line 274
.


LaTeX Warning: Reference `eigen:310:18' on page 403 undefined on input line 275
.


LaTeX Warning: Reference `eigen:310:16' on page 403 undefined on input line 279
.


LaTeX Warning: Reference `eigen:310:19' on page 403 undefined on input line 282
.


LaTeX Warning: Reference `matrix:325.10' on page 403 undefined on input line 28
3.


LaTeX Warning: Reference `eigen:310:17' on page 403 undefined on input line 287
.


LaTeX Warning: Reference `eigen:310:17' on page 403 undefined on input line 289
.


LaTeX Warning: Reference `eigen:310:11' on page 403 undefined on input line 295
.


LaTeX Warning: Reference `eigen:310:16' on page 403 undefined on input line 297
.



LaTeX Warning: Reference `eigen:310:21' on page 404 undefined on input line 331
.


LaTeX Warning: Reference `eigen:310:17' on page 404 undefined on input line 344
.


LaTeX Warning: Reference `eigen:310:12' on page 404 undefined on input line 350
.


LaTeX Warning: Reference `eigen:310:21' on page 404 undefined on input line 354
.


LaTeX Warning: Reference `eigen:310.25' on page 404 undefined on input line 362
.


LaTeX Warning: Reference `matrix:320' on page 404 undefined on input line 366.


LaTeX Warning: Reference `eigen:310:25' on page 404 undefined on input line 390
.


LaTeX Warning: Reference `eigen:310:27' on page 404 undefined on input line 390
.


LaTeX Warning: Reference `alggeo:227' on page 404 undefined on input line 401.


LaTeX Warning: Reference `eigen:310:30' on page 404 undefined on input line 401
.



LaTeX Warning: Reference `gjrank:341' on page 405 undefined on input line 411.


LaTeX Warning: Reference `eigen:310.40' on page 405 undefined on input line 413
.


LaTeX Warning: Reference `eigen:310:26' on page 405 undefined on input line 413
.


LaTeX Warning: Reference `eigen:310:25' on page 405 undefined on input line 421
.


LaTeX Warning: Reference `matrix:180.35' on page 405 undefined on input line 42
7.


LaTeX Warning: Reference `gjrank:340.20' on page 405 undefined on input line 43
5.


LaTeX Warning: Reference `gjrank:341' on page 405 undefined on input line 438.


LaTeX Warning: Reference `eigen:310:18' on page 405 undefined on input line 439
.


LaTeX Warning: Reference `eigen:310.35' on page 405 undefined on input line 454
.


LaTeX Warning: Reference `eigen:310.37' on page 405 undefined on input line 454
.


Underfull \vbox (badness 1122) has occurred while \output is active

LaTeX Warning: Reference `gjrank:340.10' on page 406 undefined on input line 46
2.


LaTeX Warning: Reference `eigen:310:30' on page 406 undefined on input line 466
.


LaTeX Warning: Reference `eigen:310:26' on page 406 undefined on input line 495
.


LaTeX Warning: Reference `eigen:310:30' on page 406 undefined on input line 499
.


LaTeX Warning: Reference `eigen:310:30' on page 406 undefined on input line 510
.


LaTeX Warning: Reference `eigen:310:19' on page 406 undefined on input line 516
.


LaTeX Warning: Reference `mtxinv:465' on page 406 undefined on input line 517.



LaTeX Warning: Reference `eigen:310:50' on page 407 undefined on input line 574
.


LaTeX Warning: Reference `eigen:310:54' on page 407 undefined on input line 592
.



LaTeX Warning: Reference `eigen:310:17' on page 408 undefined on input line 601
.


LaTeX Warning: Reference `eigen:310:54' on page 408 undefined on input line 603
.


LaTeX Warning: Reference `eigen:310:50' on page 408 undefined on input line 604
.


LaTeX Warning: Reference `eigen:310:50' on page 408 undefined on input line 609
.


LaTeX Warning: Citation `Franklin' on page 408 undefined on input line 616.


LaTeX Warning: Reference `eigen:310:58' on page 408 undefined on input line 616
.


LaTeX Warning: Reference `mtxinv:230:15' on page 408 undefined on input line 61
6.


LaTeX Warning: Reference `eigen:310:58' on page 408 undefined on input line 616
.


LaTeX Warning: Reference `eigen:310:58' on page 408 undefined on input line 624
.


LaTeX Warning: Reference `eigen:310:58' on page 408 undefined on input line 627
.


LaTeX Warning: Reference `eigen:310:58' on page 408 undefined on input line 629
.


LaTeX Warning: Reference `matrix' on page 408 undefined on input line 657.


LaTeX Warning: Reference `gjrank' on page 408 undefined on input line 657.


LaTeX Warning: Reference `mtxinv' on page 408 undefined on input line 657.



LaTeX Warning: Reference `mtxinv:220' on page 409 undefined on input line 667.


LaTeX Warning: Reference `gjrank:335' on page 409 undefined on input line 670.


LaTeX Warning: Reference `gjrank:341.11' on page 409 undefined on input line 67
0.


LaTeX Warning: Reference `gjrank:340.25' on page 409 undefined on input line 67
3.


LaTeX Warning: Reference `gjrank:340.60' on page 409 undefined on input line 67
7.


LaTeX Warning: Reference `gjrank:341.10' on page 409 undefined on input line 68
0.


LaTeX Warning: Reference `gjrank:340.20' on page 409 undefined on input line 68
1.


LaTeX Warning: Reference `mtxinv:460.30' on page 409 undefined on input line 68
5.


LaTeX Warning: Reference `gjrank:340.25' on page 409 undefined on input line 68
8.


LaTeX Warning: Reference `mtxinv:230' on page 409 undefined on input line 693.


LaTeX Warning: Reference `eigen:310.37' on page 409 undefined on input line 696
.


LaTeX Warning: Reference `eigen:410' on page 409 undefined on input line 699.


LaTeX Warning: Reference `drvtv:210.001' on page 409 undefined on input line 72
1.


LaTeX Warning: Reference `eigen:470' on page 409 undefined on input line 722.



LaTeX Warning: Reference `eigen:310.37' on page 410 undefined on input line 748
.


LaTeX Warning: Reference `eigen:eigdet' on page 410 undefined on input line 752
.


LaTeX Warning: Reference `eigen:eigen' on page 410 undefined on input line 781.



LaTeX Warning: Reference `eigen:420' on page 410 undefined on input line 783.



LaTeX Warning: Reference `eigen:eigdet' on page 411 undefined on input line 802
.


LaTeX Warning: Reference `eigen:410:30' on page 411 undefined on input line 814
.


LaTeX Warning: Reference `eigen:eigdet' on page 411 undefined on input line 818
.


LaTeX Warning: Reference `alggeo:240:quad' on page 411 undefined on input line 
821.


LaTeX Warning: Reference `cubic' on page 411 undefined on input line 822.


LaTeX Warning: Reference `drvtv:NR' on page 411 undefined on input line 822.


LaTeX Warning: Reference `eigen:eigdet' on page 411 undefined on input line 823
.


LaTeX Warning: Citation `Franklin' on page 411 undefined on input line 833.


LaTeX Warning: Reference `eigen:410:10' on page 411 undefined on input line 841
.


LaTeX Warning: Reference `eigen:eigdet' on page 411 undefined on input line 841
.


LaTeX Warning: Reference `eigen:410:10' on page 411 undefined on input line 845
.


LaTeX Warning: Reference `mtxinv:245:kernel' on page 411 undefined on input lin
e 853.


LaTeX Warning: Reference `mtxinv:450:perp' on page 411 undefined on input line 
854.



LaTeX Warning: Reference `eigen:410:30' on page 412 undefined on input line 882
.


LaTeX Warning: Reference `eigen:410' on page 412 undefined on input line 883.


LaTeX Warning: Citation `math21b' on page 412 undefined on input line 920.


LaTeX Warning: Reference `eigen:520.30' on page 412 undefined on input line 923
.



LaTeX Warning: Reference `mtxinv:320.34' on page 413 undefined on input line 94
4.


LaTeX Warning: Reference `noth:320:50' on page 413 undefined on input line 949.



LaTeX Warning: Reference `eigen:eigdet' on page 413 undefined on input line 950
.


LaTeX Warning: Reference `eigen:410:10' on page 413 undefined on input line 952
.


LaTeX Warning: Reference `eigen:422' on page 413 undefined on input line 970.



LaTeX Warning: Reference `eigen:diag' on page 414 undefined on input line 1005.



LaTeX Warning: Reference `eigen:diag' on page 414 undefined on input line 1006.



LaTeX Warning: Reference `eigen:422' on page 414 undefined on input line 1013.


LaTeX Warning: Reference `eigen:diag' on page 414 undefined on input line 1025.



LaTeX Warning: Reference `matrix:325:diag' on page 414 undefined on input line 
1029.


Overfull \hbox (11.17189pt too wide) in paragraph at lines 1029--1032
[]\OT1/cmr/m/n/10.95 The di-ag-o-nal ma-trix $[]\OMS/cmsy/m/n/10.95 f\OT1/cmr/b
x/n/10.95 x\OMS/cmsy/m/n/10.95 g$ \OT1/cmr/m/n/10.95 of ([]) is triv-ially di-a
g-o-nal-iz-able as $[]\OMS/cmsy/m/n/10.95 f\OT1/cmr/bx/n/10.95 x\OMS/cmsy/m/n/1
0.95 g \OT1/cmr/m/n/10.95 =


LaTeX Warning: Reference `cexp:230:33' on page 415 undefined on input line 1053
.


LaTeX Warning: Reference `eigen:520.30' on page 415 undefined on input line 107
9.


LaTeX Warning: Reference `matrix' on page 415 undefined on input line 1105.



LaTeX Warning: Reference `eigen:520.30' on page 416 undefined on input line 110
7.


LaTeX Warning: Reference `eigen:900' on page 416 undefined on input line 1107.


LaTeX Warning: Reference `eigen:429' on page 416 undefined on input line 1120.


LaTeX Warning: Reference `eigen:410' on page 416 undefined on input line 1147.


LaTeX Warning: Citation `deSturler-lecture' on page 416 undefined on input line
 1161.



LaTeX Warning: Reference `eigen:470:10' on page 417 undefined on input line 124
2.



LaTeX Warning: Citation `Hefferon' on page 418 undefined on input line 1314.


LaTeX Warning: Citation `Lay' on page 418 undefined on input line 1314.


LaTeX Warning: Reference `mtxinv:465' on page 418 undefined on input line 1327.



LaTeX Warning: Reference `matrix:321' on page 418 undefined on input line 1332.



LaTeX Warning: Reference `gjrank:337' on page 418 undefined on input line 1332.




LaTeX Warning: Reference `mtxinv:465' on page 419 undefined on input line 1363.



LaTeX Warning: Reference `eigen:schur' on page 419 undefined on input line 1393
.


LaTeX Warning: Reference `greek' on page 419 undefined on input line 1393.


Underfull \vbox (badness 3646) has occurred while \output is active

LaTeX Warning: Reference `matrix:340' on page 420 undefined on input line 1438.




LaTeX Warning: Reference `eigen:520:22' on page 421 undefined on input line 145
6.


LaTeX Warning: Reference `eigen:520:22' on page 421 undefined on input line 145
8.


LaTeX Warning: Reference `eigen:520:22' on page 421 undefined on input line 148
0.


Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `eigen:520:25' on page 422 undefined on input line 151
8.


LaTeX Warning: Reference `matrix:340:61' on page 422 undefined on input line 15
19.


LaTeX Warning: Reference `eigen:520:22' on page 422 undefined on input line 154
3.


LaTeX Warning: Reference `eigen:520:22' on page 422 undefined on input line 154
7.


LaTeX Warning: Reference `matrix:340:61' on page 422 undefined on input line 15
55.


LaTeX Warning: Reference `eigen:520:25' on page 422 undefined on input line 156
0.


LaTeX Warning: Reference `eigen:520:30' on page 422 undefined on input line 156
4.



LaTeX Warning: Reference `eigen:520:25' on page 423 undefined on input line 157
9.


LaTeX Warning: Reference `eigen:520:38' on page 423 undefined on input line 158
3.


LaTeX Warning: Reference `eigen:520:40' on page 423 undefined on input line 158
3.


LaTeX Warning: Reference `eigen:520:22' on page 423 undefined on input line 158
6.


LaTeX Warning: Reference `eigen:520:40' on page 423 undefined on input line 158
7.


LaTeX Warning: Reference `eigen:520:40' on page 423 undefined on input line 159
0.


LaTeX Warning: Reference `eigen:422' on page 423 undefined on input line 1591.


LaTeX Warning: Reference `mtxinv:460.30' on page 423 undefined on input line 16
02.


LaTeX Warning: Reference `mtxinv:461:s20' on page 423 undefined on input line 1
604.



LaTeX Warning: Reference `eigen:520:25' on page 424 undefined on input line 164
9.


LaTeX Warning: Reference `eigen:520:40' on page 424 undefined on input line 165
9.


LaTeX Warning: Reference `eigen:520:22' on page 424 undefined on input line 166
0.


LaTeX Warning: Reference `eigen:520:50' on page 424 undefined on input line 166
2.


LaTeX Warning: Reference `eigen:520:21' on page 424 undefined on input line 166
4.


LaTeX Warning: Reference `eigen:520:22' on page 424 undefined on input line 166
5.


LaTeX Warning: Reference `eigen:520:21' on page 424 undefined on input line 167
0.


LaTeX Warning: Reference `eigen:520:22' on page 424 undefined on input line 167
1.


LaTeX Warning: Reference `eigen:520:21' on page 424 undefined on input line 168
0.


LaTeX Warning: Reference `eigen:schur' on page 424 undefined on input line 1681
.


LaTeX Warning: Reference `mtxinv:465:20' on page 424 undefined on input line 16
83.



LaTeX Warning: Reference `eigen:520:57' on page 425 undefined on input line 168
7.


LaTeX Warning: Reference `eigen:eigdet' on page 425 undefined on input line 170
2.


LaTeX Warning: Reference `eigen:310' on page 425 undefined on input line 1729.


LaTeX Warning: Reference `eigen:505:50' on page 425 undefined on input line 173
7.


LaTeX Warning: Reference `eigen:schur' on page 425 undefined on input line 1739
.


LaTeX Warning: Reference `eigen:310:30' on page 425 undefined on input line 177
0.


LaTeX Warning: Reference `eigen:310:64' on page 425 undefined on input line 177
0.



LaTeX Warning: Reference `eigen:520:70' on page 426 undefined on input line 177
7.


LaTeX Warning: Reference `matrix:325:diag' on page 426 undefined on input line 
1791.


LaTeX Warning: Reference `inttx:260.20' on page 426 undefined on input line 180
3.


LaTeX Warning: Reference `eigen:520:75' on page 426 undefined on input line 181
0.


LaTeX Warning: Reference `eigen:423' on page 426 undefined on input line 1811.


LaTeX Warning: Reference `eigen:diag' on page 426 undefined on input line 1812.



LaTeX Warning: Reference `eigen:520:75' on page 426 undefined on input line 181
5.


LaTeX Warning: Reference `eigen:422' on page 426 undefined on input line 1816.



LaTeX Warning: Reference `eigen:eigdet' on page 427 undefined on input line 182
6.


LaTeX Warning: Citation `Friedberg-IS' on page 427 undefined on input line 1843
.


LaTeX Warning: Citation `Franklin' on page 427 undefined on input line 1846.


LaTeX Warning: Reference `inttx:260.50' on page 427 undefined on input line 184
8.


LaTeX Warning: Citation `Wilkinson' on page 427 undefined on input line 1854.



LaTeX Warning: Reference `mtxinv:465' on page 428 undefined on input line 1886.



LaTeX Warning: Reference `eigen:423' on page 428 undefined on input line 1887.


LaTeX Warning: Citation `Lay' on page 428 undefined on input line 1917.


LaTeX Warning: Reference `eigen:diag' on page 428 undefined on input line 1953.



LaTeX Warning: Reference `mtxinv:450' on page 428 undefined on input line 1958.




LaTeX Warning: Reference `eigen:422' on page 429 undefined on input line 1963.


LaTeX Warning: Reference `eigen:423' on page 429 undefined on input line 1965.



LaTeX Warning: Reference `eigen:422' on page 430 undefined on input line 2034.


LaTeX Warning: Reference `eigen:diag' on page 430 undefined on input line 2058.



LaTeX Warning: Reference `mtxinv:465' on page 430 undefined on input line 2063.




LaTeX Warning: Reference `eigen:550:50' on page 431 undefined on input line 208
6.


LaTeX Warning: Citation `wikip' on page 431 undefined on input line 2106.


LaTeX Warning: Reference `mtxinv:320.30' on page 431 undefined on input line 21
17.


LaTeX Warning: Reference `mtxinv:320.34' on page 431 undefined on input line 21
18.


LaTeX Warning: Reference `eigen:550' on page 431 undefined on input line 2119.


LaTeX Warning: Reference `eigen:550:30' on page 431 undefined on input line 212
0.


LaTeX Warning: Reference `eigen:422' on page 431 undefined on input line 2127.



LaTeX Warning: Reference `eigen:600:15' on page 432 undefined on input line 214
8.


LaTeX Warning: Reference `eigen:600:10' on page 432 undefined on input line 214
8.


LaTeX Warning: Reference `eigen:600:SVD' on page 432 undefined on input line 21
64.


LaTeX Warning: Reference `eigen:600:20' on page 432 undefined on input line 216
5.


LaTeX Warning: Reference `eigen:600:SVD' on page 432 undefined on input line 21
75.


LaTeX Warning: Reference `eigen:600:SVD' on page 432 undefined on input line 21
79.


LaTeX Warning: Reference `eigen:600:SVD' on page 432 undefined on input line 21
91.



LaTeX Warning: Reference `matrix' on page 433 undefined on input line 2215.


LaTeX Warning: Reference `eigen' on page 433 undefined on input line 2215.


LaTeX Warning: Reference `eigen' on page 433 undefined on input line 2233.


LaTeX Warning: Citation `Hefferon' on page 433 undefined on input line 2255.


LaTeX Warning: Reference `mtxinv:psinv' on page 433 undefined on input line 228
6.


)
(./vector.tex
Chapter 15.

LaTeX Warning: Reference `trig:230' on page 435 undefined on input line 24.


LaTeX Warning: Reference `trig:240' on page 435 undefined on input line 24.


LaTeX Warning: Reference `trig:277' on page 435 undefined on input line 25.


LaTeX Warning: Reference `matrix' on page 435 undefined on input line 27.


LaTeX Warning: Reference `eigen' on page 435 undefined on input line 27.


LaTeX Warning: Citation `Cheng' on page 435 undefined on input line 31.


LaTeX Warning: Reference `matrix' on page 435 undefined on input line 41.


LaTeX Warning: Reference `eigen' on page 435 undefined on input line 41.


LaTeX Warning: Reference `trig:230' on page 435 undefined on input line 52.


LaTeX Warning: Reference `trig:277' on page 435 undefined on input line 54.


LaTeX Warning: Reference `vector:fig-sphere' on page 435 undefined on input lin
e 59.


LaTeX Warning: Reference `trig:277:20' on page 435 undefined on input line 59.


LaTeX Warning: Reference `trig:277:20' on page 435 undefined on input line 60.


LaTeX Warning: Reference `vector:280' on page 435 undefined on input line 61.


LaTeX Warning: Reference `vector:230:fig-spherical-basis' on page 435 undefined
 on input line 69.


LaTeX Warning: Reference `vector:230:fig-spherical-basis' on page 435 undefined
 on input line 69.

[46]

LaTeX Warning: Reference `vcalc' on page 435 undefined on input line 79.



LaTeX Warning: Reference `vector:210' on page 436 undefined on input line 108.


LaTeX Warning: Reference `vector:270' on page 436 undefined on input line 118.



LaTeX Warning: Reference `trig' on page 437 undefined on input line 152.


LaTeX Warning: Reference `vector:210' on page 437 undefined on input line 154.


LaTeX Warning: Reference `vector:220' on page 437 undefined on input line 154.


LaTeX Warning: Reference `trig:240:10' on page 437 undefined on input line 163.



LaTeX Warning: Citation `wikip' on page 437 undefined on input line 216.


LaTeX Warning: Citation `Jones/Fjeld' on page 437 undefined on input line 216.


LaTeX Warning: Reference `vector:fig-sphere' on page 437 undefined on input lin
e 216.


LaTeX Warning: Reference `vector:210:20' on page 437 undefined on input line 21
6.


LaTeX Warning: Reference `vector:210:40' on page 437 undefined on input line 21
6.


LaTeX Warning: Reference `trig:240:12' on page 437 undefined on input line 237.




LaTeX Warning: Citation `CERN-Alice-delta' on page 438 undefined on input line 
268.


LaTeX Warning: Reference `vector:210:20' on page 438 undefined on input line 27
0.


LaTeX Warning: Reference `vector:210:25' on page 438 undefined on input line 27
0.


LaTeX Warning: Reference `vector:210:20' on page 438 undefined on input line 27
4.


LaTeX Warning: Reference `vector:210:25' on page 438 undefined on input line 27
5.


LaTeX Warning: Reference `vector:fig-sphere' on page 438 undefined on input lin
e 282.


LaTeX Warning: Reference `vector:210:25' on page 438 undefined on input line 29
0.


LaTeX Warning: Reference `vector:210:v' on page 438 undefined on input line 291
.


LaTeX Warning: Reference `trig:277:20' on page 438 undefined on input line 329.



LaTeX Warning: Reference `vector:210:30' on page 438 undefined on input line 33
0.


LaTeX Warning: Reference `vector:210:20' on page 438 undefined on input line 33
1.



LaTeX Warning: Reference `vector:210:25' on page 439 undefined on input line 35
2.


LaTeX Warning: Reference `vector:210:v' on page 439 undefined on input line 435
.


Underfull \vbox (badness 3029) has occurred while \output is active

LaTeX Warning: Reference `mtxinv:445' on page 440 undefined on input line 458.


LaTeX Warning: Reference `mtxinv' on page 440 undefined on input line 460.


LaTeX Warning: Reference `vector:dot1' on page 440 undefined on input line 473.



LaTeX Warning: Reference `vector:210:35' on page 440 undefined on input line 48
7.


LaTeX Warning: Reference `mtxinv:445:35' on page 440 undefined on input line 48
9.


LaTeX Warning: Reference `mtxinv:445' on page 440 undefined on input line 489.


LaTeX Warning: Reference `trig:226:f1' on page 440 undefined on input line 498.




LaTeX Warning: Reference `vector:dot1' on page 441 undefined on input line 512.



LaTeX Warning: Reference `vector:220:fig-dot' on page 441 undefined on input li
ne 513.

[47]

LaTeX Warning: Reference `vector:220.20' on page 441 undefined on input line 55
9.


LaTeX Warning: Reference `eigen:310' on page 441 undefined on input line 584.


LaTeX Warning: Reference `vector:210:25' on page 441 undefined on input line 59
2.


LaTeX Warning: Reference `vector:210:35' on page 441 undefined on input line 59
2.


LaTeX Warning: Reference `vector:cross1' on page 441 undefined on input line 59
3.


LaTeX Warning: Reference `vector:210' on page 441 undefined on input line 596.


Underfull \vbox (badness 2080) has occurred while \output is active

LaTeX Warning: Reference `trig:228:table' on page 442 undefined on input line 6
40.


LaTeX Warning: Reference `vector:cross1' on page 442 undefined on input line 67
0.


LaTeX Warning: Reference `matrix:322' on page 442 undefined on input line 673.


LaTeX Warning: Reference `vector:cross1' on page 442 undefined on input line 68
4.



LaTeX Warning: Reference `vector:cross1' on page 443 undefined on input line 70
5.


LaTeX Warning: Reference `vector:dot1' on page 443 undefined on input line 706.



LaTeX Warning: Reference `vector:220.20' on page 443 undefined on input line 72
8.


LaTeX Warning: Reference `vector:cross1' on page 443 undefined on input line 74
4.


LaTeX Warning: Reference `trig:226:f1' on page 443 undefined on input line 745.



LaTeX Warning: Reference `vector:220:23' on page 443 undefined on input line 74
7.


LaTeX Warning: Citation `Harrington' on page 443 undefined on input line 750.


LaTeX Warning: Reference `vector:220:fig-cross' on page 443 undefined on input 
line 756.

[48]

LaTeX Warning: Reference `trig:230' on page 444 undefined on input line 832.


LaTeX Warning: Reference `alggeo:231' on page 444 undefined on input line 847.


LaTeX Warning: Reference `alggeo:231' on page 444 undefined on input line 849.



LaTeX Warning: Reference `matrix' on page 445 undefined on input line 902.


LaTeX Warning: Citation `PM:1964' on page 445 undefined on input line 950.



LaTeX Warning: Reference `trig:277' on page 446 undefined on input line 980.


LaTeX Warning: Reference `vector:230:fig-cylindrical-basis' on page 446 undefin
ed on input line 981.

[49] [50] [51] [52] [53] [54] [55]

LaTeX Warning: Reference `trig:277' on page 446 undefined on input line 1049.


LaTeX Warning: Reference `vector:230:fig-spherical-basis' on page 446 undefined
 on input line 1049.


LaTeX Warning: Reference `vector:fig-sphere' on page 446 undefined on input lin
e 1053.

[56]

LaTeX Warning: Reference `trig:277' on page 446 undefined on input line 1105.



LaTeX Warning: Reference `vector:280' on page 447 undefined on input line 1107.



LaTeX Warning: Reference `vector:230:10' on page 447 undefined on input line 11
10.


LaTeX Warning: Reference `vector:230:fn1' on page 447 undefined on input line 1
169.



LaTeX Warning: Reference `vcalc' on page 448 undefined on input line 1200.


LaTeX Warning: Reference `vector:210' on page 448 undefined on input line 1214.



LaTeX Warning: Reference `vector:220' on page 448 undefined on input line 1214.



Underfull \vbox (badness 4556) has occurred while \output is active

LaTeX Warning: Reference `vector:dot1' on page 449 undefined on input line 1274
.


LaTeX Warning: Reference `vector:cross1' on page 449 undefined on input line 12
74.


LaTeX Warning: Reference `vector:230' on page 449 undefined on input line 1289.



LaTeX Warning: Reference `vector:dotp' on page 449 undefined on input line 1305
.


LaTeX Warning: Reference `vector:crossp' on page 449 undefined on input line 13
05.



LaTeX Warning: Reference `vector:dot1' on page 450 undefined on input line 1321
.


LaTeX Warning: Reference `vector:dot' on page 450 undefined on input line 1323.



LaTeX Warning: Reference `vector:cross' on page 450 undefined on input line 132
3.


LaTeX Warning: Reference `vector:dotp' on page 450 undefined on input line 1324
.


LaTeX Warning: Reference `vector:crossp' on page 450 undefined on input line 13
25.


LaTeX Warning: Reference `vector:230' on page 450 undefined on input line 1337.



LaTeX Warning: Citation `Cheng' on page 450 undefined on input line 1380.



LaTeX Warning: Citation `Hopman' on page 451 undefined on input line 1392.


LaTeX Warning: Citation `wikip' on page 451 undefined on input line 1401.


LaTeX Warning: Reference `vector:dotp' on page 451 undefined on input line 1414
.


LaTeX Warning: Reference `vector:240:20' on page 451 undefined on input line 14
15.


LaTeX Warning: Reference `vector:crossp' on page 451 undefined on input line 14
19.


LaTeX Warning: Reference `vector:240.30' on page 451 undefined on input line 14
20.


LaTeX Warning: Reference `vector:240:32' on page 451 undefined on input line 14
22.


LaTeX Warning: Reference `vector:240.30' on page 451 undefined on input line 14
26.



LaTeX Warning: Citation `EWW-web' on page 452 undefined on input line 1432.


LaTeX Warning: Reference `alggeo:227' on page 452 undefined on input line 1434.



LaTeX Warning: Citation `physics321' on page 452 undefined on input line 1446.


LaTeX Warning: Citation `Hopman' on page 452 undefined on input line 1457.


LaTeX Warning: Reference `matrix:150' on page 452 undefined on input line 1458.



LaTeX Warning: Reference `vector:240:20' on page 452 undefined on input line 14
76.


LaTeX Warning: Reference `vector:240:22' on page 452 undefined on input line 14
77.


LaTeX Warning: Citation `planetm' on page 452 undefined on input line 1491.


Underfull \vbox (badness 2368) has occurred while \output is active

LaTeX Warning: Reference `matrix:322' on page 453 undefined on input line 1500.



LaTeX Warning: Reference `matrix' on page 453 undefined on input line 1501.


LaTeX Warning: Reference `eigen' on page 453 undefined on input line 1501.


LaTeX Warning: Reference `matrix:322' on page 453 undefined on input line 1508.



LaTeX Warning: Reference `matrix:325.10' on page 453 undefined on input line 15
08.


LaTeX Warning: Reference `eigen:310' on page 453 undefined on input line 1509.


LaTeX Warning: Reference `vector:240:tbl1' on page 453 undefined on input line 
1509.


LaTeX Warning: Reference `vector:240:32' on page 453 undefined on input line 15
15.


LaTeX Warning: Reference `integ:670:fig-d' on page 453 undefined on input line 
1531.


LaTeX Warning: Reference `matrix:150' on page 453 undefined on input line 1534.



LaTeX Warning: Reference `vector:240:20' on page 453 undefined on input line 15
36.


LaTeX Warning: Reference `vector:240:tbl1' on page 453 undefined on input line 
1542.


LaTeX Warning: Citation `physics321' on page 453 undefined on input line 1543.


LaTeX Warning: Reference `vector:240.20' on page 453 undefined on input line 15
45.



LaTeX Warning: Reference `vector:240:32' on page 454 undefined on input line 15
91.


Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `vector:240:20' on page 455 undefined on input line 16
13.


LaTeX Warning: Reference `vector:240:tbl1' on page 455 undefined on input line 
1761.


Underfull \vbox (badness 10000) has occurred while \output is active


LaTeX Warning: Reference `vcalc:425' on page 457 undefined on input line 1780.


LaTeX Warning: Reference `vector:240:35' on page 457 undefined on input line 17
83.


LaTeX Warning: Reference `vector:240:36' on page 457 undefined on input line 17
90.


LaTeX Warning: Reference `vector:240:fig-proj' on page 457 undefined on input l
ine 1792.

[57]

LaTeX Warning: Reference `vector:tbl-algid' on page 457 undefined on input line
 1847.


LaTeX Warning: Citation `Stratton' on page 457 undefined on input line 1848.


LaTeX Warning: Citation `Harrington' on page 457 undefined on input line 1848.


LaTeX Warning: Reference `vector:220:02' on page 457 undefined on input line 18
87.


LaTeX Warning: Reference `vector:dot' on page 457 undefined on input line 1887.



LaTeX Warning: Reference `vector:cross' on page 457 undefined on input line 188
8.


LaTeX Warning: Reference `vector:240:35' on page 457 undefined on input line 18
89.


LaTeX Warning: Reference `vector:240:36' on page 457 undefined on input line 18
90.


LaTeX Warning: Reference `vector:240' on page 457 undefined on input line 1891.




LaTeX Warning: Reference `vector:tbl-algid' on page 458 undefined on input line
 1925.


LaTeX Warning: Reference `vector:tbl-algid' on page 458 undefined on input line
 1927.


LaTeX Warning: Reference `vector:280:fn1' on page 458 undefined on input line 1
947.


LaTeX Warning: Reference `vcalc' on page 458 undefined on input line 1947.


LaTeX Warning: Reference `vcalc:420:fn1' on page 458 undefined on input line 19
47.


Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `vector:270:10' on page 459 undefined on input line 19
72.


LaTeX Warning: Reference `vector:270:15' on page 459 undefined on input line 19
73.


LaTeX Warning: Reference `trig:277:40' on page 459 undefined on input line 2000
.


LaTeX Warning: Reference `vector:280.10' on page 459 undefined on input line 20
13.



LaTeX Warning: Reference `vector:280.51' on page 460 undefined on input line 20
43.


LaTeX Warning: Reference `trig:230' on page 460 undefined on input line 2060.


LaTeX Warning: Reference `vector:230:10' on page 460 undefined on input line 20
60.


LaTeX Warning: Reference `vector:280.56' on page 460 undefined on input line 20
60.


LaTeX Warning: Reference `vcalc' on page 460 undefined on input line 2060.


LaTeX Warning: Reference `vcalc:420:fn1' on page 460 undefined on input line 20
60.


LaTeX Warning: Reference `vector:280.56' on page 460 undefined on input line 20
61.


LaTeX Warning: Reference `greek' on page 460 undefined on input line 2070.


LaTeX Warning: Reference `vector:280.10' on page 460 undefined on input line 20
73.


LaTeX Warning: Citation `Lebedev' on page 460 undefined on input line 2077.


LaTeX Warning: Citation `wikip' on page 460 undefined on input line 2077.



LaTeX Warning: Reference `integ:241.07' on page 461 undefined on input line 209
1.


LaTeX Warning: Reference `integ:241.08' on page 461 undefined on input line 209
1.


LaTeX Warning: Citation `Shenk' on page 461 undefined on input line 2107.


LaTeX Warning: Reference `vector:280:fig-parabola' on page 461 undefined on inp
ut line 2108.

[58]

LaTeX Warning: Reference `vector:280:05' on page 462 undefined on input line 21
93.


LaTeX Warning: Reference `vector:280:06' on page 462 undefined on input line 21
97.


LaTeX Warning: Reference `vector:280:fig-parabola' on page 462 undefined on inp
ut line 2251.



LaTeX Warning: Reference `vector:280.05' on page 463 undefined on input line 22
99.


LaTeX Warning: Reference `vector:280:fig2' on page 463 undefined on input line 
2300.

[59]

LaTeX Warning: Reference `vector:280.05' on page 463 undefined on input line 23
86.


LaTeX Warning: Reference `vector:280:fig1' on page 463 undefined on input line 
2393.

[60]

LaTeX Warning: Reference `vector:280.30' on page 463 undefined on input line 24
96.


LaTeX Warning: Reference `vector:280:11' on page 463 undefined on input line 25
06.


LaTeX Warning: Reference `vector:280:11' on page 463 undefined on input line 25
10.



LaTeX Warning: Reference `vector:280:12' on page 464 undefined on input line 25
18.


LaTeX Warning: Reference `vector:280:12' on page 464 undefined on input line 25
27.


LaTeX Warning: Reference `vector:280:13' on page 464 undefined on input line 25
28.


LaTeX Warning: Reference `vector:280:12' on page 464 undefined on input line 25
32.


LaTeX Warning: Reference `vector:280:19' on page 464 undefined on input line 25
32.


LaTeX Warning: Reference `vector:280:13' on page 464 undefined on input line 25
49.


LaTeX Warning: Reference `vector:280:12' on page 464 undefined on input line 25
49.


LaTeX Warning: Reference `vector:280:19' on page 464 undefined on input line 25
50.


LaTeX Warning: Reference `vector:280:21' on page 464 undefined on input line 25
58.


LaTeX Warning: Reference `vector:280:19' on page 464 undefined on input line 25
60.


LaTeX Warning: Reference `vector:280:19' on page 464 undefined on input line 25
74.



LaTeX Warning: Reference `vector:280:17' on page 465 undefined on input line 25
87.


LaTeX Warning: Reference `vector:280:21' on page 465 undefined on input line 26
03.


LaTeX Warning: Reference `vector:280:17t' on page 465 undefined on input line 2
616.


LaTeX Warning: Reference `vector:280:17u' on page 465 undefined on input line 2
616.


LaTeX Warning: Reference `vector:270:20' on page 465 undefined on input line 26
17.


LaTeX Warning: Reference `vector:270:25' on page 465 undefined on input line 26
18.


LaTeX Warning: Reference `vector:280:t30' on page 465 undefined on input line 2
621.


LaTeX Warning: Reference `vector:280.10' on page 465 undefined on input line 26
22.



LaTeX Warning: Reference `vector:280:t30' on page 466 undefined on input line 2
668.


LaTeX Warning: Reference `vector:280:fig2' on page 466 undefined on input line 
2684.


LaTeX Warning: Reference `vector:280:fig1' on page 466 undefined on input line 
2685.


LaTeX Warning: Reference `vector:280:t56' on page 466 undefined on input line 2
689.


LaTeX Warning: Reference `vector:280:t30' on page 466 undefined on input line 2
690.



LaTeX Warning: Reference `vector:280:fn1' on page 467 undefined on input line 2
739.


LaTeX Warning: Reference `vcalc' on page 467 undefined on input line 2744.

)

(./vcalc.tex
Chapter 16.

LaTeX Warning: Reference `vector' on page 469 undefined on input line 6.


LaTeX Warning: Reference `vector:210' on page 469 undefined on input line 31.


LaTeX Warning: Reference `greek' on page 469 undefined on input line 31.


LaTeX Warning: Reference `vector:230' on page 469 undefined on input line 54.


LaTeX Warning: Citation `BSL' on page 469 undefined on input line 54.



LaTeX Warning: Reference `vector:220' on page 470 undefined on input line 100.


LaTeX Warning: Reference `vcalc:350' on page 470 undefined on input line 109.



LaTeX Warning: Reference `vcalc:320.15' on page 471 undefined on input line 172
.


LaTeX Warning: Reference `vector:210:20' on page 471 undefined on input line 21
1.


LaTeX Warning: Reference `vector:210:25' on page 471 undefined on input line 21
2.


LaTeX Warning: Reference `vector:210:40' on page 471 undefined on input line 21
2.


LaTeX Warning: Reference `vector:210:45' on page 471 undefined on input line 21
2.



LaTeX Warning: Reference `vector' on page 472 undefined on input line 271.


LaTeX Warning: Reference `vector:240' on page 472 undefined on input line 271.



LaTeX Warning: Reference `vcalc:320.10' on page 473 undefined on input line 289
.


LaTeX Warning: Reference `integ:240' on page 473 undefined on input line 296.


LaTeX Warning: Citation `Brown-conversation' on page 473 undefined on input lin
e 304.


LaTeX Warning: Reference `matrix:120.10' on page 473 undefined on input line 30
9.


LaTeX Warning: Reference `integ:240.05' on page 473 undefined on input line 342
.



LaTeX Warning: Reference `alggeo:222.1' on page 474 undefined on input line 354
.


LaTeX Warning: Reference `matrix:180.35' on page 474 undefined on input line 36
4.


LaTeX Warning: Reference `matrix:000:42' on page 474 undefined on input line 36
7.


LaTeX Warning: Reference `vcalc:delp' on page 474 undefined on input line 385.


LaTeX Warning: Reference `vcalc:delp' on page 474 undefined on input line 404.



LaTeX Warning: Reference `vcalc:ddvf' on page 475 undefined on input line 425.


LaTeX Warning: Citation `vanBladel' on page 475 undefined on input line 430.


LaTeX Warning: Reference `vcalc:ddvf' on page 475 undefined on input line 431.


LaTeX Warning: Reference `vcalc:ddsf' on page 475 undefined on input line 432.


LaTeX Warning: Reference `vcalc:ddsf' on page 475 undefined on input line 442.


LaTeX Warning: Reference `vcalc:320.20' on page 475 undefined on input line 463
.



LaTeX Warning: Reference `vcalc:flux' on page 476 undefined on input line 487.


LaTeX Warning: Reference `vector:220:fig-dot' on page 476 undefined on input li
ne 502.


LaTeX Warning: Reference `vcalc:flux' on page 476 undefined on input line 503.


LaTeX Warning: Reference `vcalc:flux' on page 476 undefined on input line 518.




LaTeX Warning: Reference `vcalc:flux' on page 478 undefined on input line 622.



LaTeX Warning: Reference `vcalc:320:43' on page 479 undefined on input line 703
.


LaTeX Warning: Reference `vcalc:curl' on page 479 undefined on input line 710.


LaTeX Warning: Reference `vcalc:320:43' on page 479 undefined on input line 711
.


LaTeX Warning: Reference `vcalc:curl' on page 479 undefined on input line 713.


LaTeX Warning: Reference `vcalc:curl' on page 479 undefined on input line 715.


LaTeX Warning: Reference `vcalc:320:43' on page 479 undefined on input line 723
.


LaTeX Warning: Reference `vcalc:curl' on page 479 undefined on input line 726.


LaTeX Warning: Reference `vcalc:320:43' on page 479 undefined on input line 729
.


LaTeX Warning: Reference `vcalc:ddvf' on page 479 undefined on input line 729.



LaTeX Warning: Reference `vcalc:ddsf' on page 480 undefined on input line 755.


LaTeX Warning: Reference `vcalc:ddvf' on page 480 undefined on input line 756.


LaTeX Warning: Reference `vcalc:dcurl' on page 480 undefined on input line 757.



LaTeX Warning: Reference `vcalc:ddvf' on page 480 undefined on input line 766.


Underfull \vbox (badness 2503) has occurred while \output is active

LaTeX Warning: Reference `vector:240:tbl1' on page 481 undefined on input line 
796.


LaTeX Warning: Reference `vcalc:320.30' on page 481 undefined on input line 824
.


LaTeX Warning: Reference `vcalc:flux' on page 481 undefined on input line 828.



LaTeX Warning: Reference `vcalc:320:35' on page 482 undefined on input line 878
.


LaTeX Warning: Reference `vcalc:divthm' on page 482 undefined on input line 894
.


LaTeX Warning: Citation `Stratton' on page 482 undefined on input line 895.


LaTeX Warning: Reference `integ:antider' on page 482 undefined on input line 89
8.


LaTeX Warning: Reference `vcalc:divthm' on page 482 undefined on input line 903
.


LaTeX Warning: Reference `vcalc:divthm' on page 482 undefined on input line 917
.


LaTeX Warning: Reference `integ:670' on page 482 undefined on input line 917.


LaTeX Warning: Reference `vcalc:330.30' on page 482 undefined on input line 936
.


LaTeX Warning: Reference `vcalc:circulation' on page 482 undefined on input lin
e 942.



LaTeX Warning: Reference `vcalc:330.30' on page 483 undefined on input line 954
.


LaTeX Warning: Reference `vcalc:320:45' on page 483 undefined on input line 954
.


LaTeX Warning: Reference `vcalc:320:35' on page 483 undefined on input line 955
.


LaTeX Warning: Reference `vcalc:stokesthm' on page 483 undefined on input line 
961.


LaTeX Warning: Citation `Stratton' on page 483 undefined on input line 962.


LaTeX Warning: Reference `vcalc:divthm' on page 483 undefined on input line 968
.


LaTeX Warning: Reference `vcalc:stokesthm' on page 483 undefined on input line 
968.


LaTeX Warning: Reference `vcalc:divthm' on page 483 undefined on input line 971
.


LaTeX Warning: Reference `vcalc:stokesthm' on page 483 undefined on input line 
971.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 483 undefined on input line
 983.


LaTeX Warning: Citation `Balanis' on page 483 undefined on input line 989.


LaTeX Warning: Citation `Stratton' on page 483 undefined on input line 989.


LaTeX Warning: Citation `Harrington' on page 483 undefined on input line 989.


LaTeX Warning: Reference `vcalc:320' on page 483 undefined on input line 990.


LaTeX Warning: Reference `vcalc:330' on page 483 undefined on input line 991.


LaTeX Warning: Reference `vcalc:350' on page 483 undefined on input line 992.


LaTeX Warning: Reference `drvtv:250.30' on page 483 undefined on input line 996
.


LaTeX Warning: Reference `vector:tbl-algid' on page 483 undefined on input line
 1002.


LaTeX Warning: Reference `vector:tbl-algid' on page 483 undefined on input line
 1002.


LaTeX Warning: Reference `vector:tbl-algid' on page 483 undefined on input line
 1002.


LaTeX Warning: Reference `vector:tbl-algid' on page 483 undefined on input line
 1002.



LaTeX Warning: Reference `vector:tbl-algid' on page 484 undefined on input line
 1083.


LaTeX Warning: Reference `vcalc:320:46' on page 484 undefined on input line 111
4.


Underfull \vbox (badness 10000) has occurred while \output is active


LaTeX Warning: Reference `vcalc:350' on page 486 undefined on input line 1160.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 486 undefined on input line
 1178.


Underfull \vbox (badness 1194) has occurred while \output is active

LaTeX Warning: Reference `vcalc:tbl-diffid' on page 487 undefined on input line
 1234.


LaTeX Warning: Reference `vcalc:350:null' on page 487 undefined on input line 1
255.


LaTeX Warning: Reference `vcalc:350:30' on page 487 undefined on input line 131
6.


LaTeX Warning: Reference `vcalc:320' on page 487 undefined on input line 1317.



LaTeX Warning: Reference `drvtv:prod2' on page 488 undefined on input line 1332
.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 488 undefined on input line
 1335.


LaTeX Warning: Reference `vcalc:380:10' on page 488 undefined on input line 134
4.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 488 undefined on input line
 1344.


Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `vcalc:380:10' on page 489 undefined on input line 135
4.


LaTeX Warning: Reference `vcalc:380:10' on page 489 undefined on input line 135
6.


LaTeX Warning: Reference `vcalc:380:10' on page 489 undefined on input line 135
8.


LaTeX Warning: Reference `drvtv:prod2' on page 489 undefined on input line 1361
.


LaTeX Warning: Reference `vcalc:380:10' on page 489 undefined on input line 136
2.


LaTeX Warning: Reference `vcalc:380:10' on page 489 undefined on input line 136
6.


LaTeX Warning: Reference `vcalc:380:10' on page 489 undefined on input line 137
9.


LaTeX Warning: Reference `vector:240.30' on page 489 undefined on input line 13
85.


LaTeX Warning: Reference `vcalc:380:10' on page 489 undefined on input line 139
1.


LaTeX Warning: Reference `vcalc:380:10' on page 489 undefined on input line 139
2.



LaTeX Warning: Reference `trig:277:20' on page 490 undefined on input line 1412
.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 490 undefined on input line
 1416.


LaTeX Warning: Reference `vector:240.20' on page 490 undefined on input line 14
26.


LaTeX Warning: Reference `vector:280' on page 490 undefined on input line 1437.



LaTeX Warning: Reference `vcalc:420:tbl' on page 490 undefined on input line 14
39.


LaTeX Warning: Citation `Cheng' on page 490 undefined on input line 1440.


LaTeX Warning: Reference `integ:241.10' on page 490 undefined on input line 147
7.



LaTeX Warning: Reference `trig:277:20' on page 491 undefined on input line 1483
.


LaTeX Warning: Reference `vector' on page 491 undefined on input line 1517.


LaTeX Warning: Reference `vector:280:fn1' on page 491 undefined on input line 1
517.


LaTeX Warning: Reference `vector:280' on page 491 undefined on input line 1519.



LaTeX Warning: Reference `integ:241' on page 491 undefined on input line 1543.


LaTeX Warning: Reference `vcalc:420:22' on page 491 undefined on input line 155
0.


LaTeX Warning: Reference `vcalc:420:21' on page 491 undefined on input line 155
2.


LaTeX Warning: Reference `vcalc:520' on page 491 undefined on input line 1560.



LaTeX Warning: Reference `vcalc:440' on page 492 undefined on input line 1617.


LaTeX Warning: Reference `vector:240' on page 492 undefined on input line 1630.



LaTeX Warning: Reference `vector:tbl-algid' on page 492 undefined on input line
 1635.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 492 undefined on input line
 1636.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 492 undefined on input line
 1638.



LaTeX Warning: Reference `vcalc:420' on page 493 undefined on input line 1650.


LaTeX Warning: Reference `vcalc:440.geo' on page 493 undefined on input line 16
65.


LaTeX Warning: Reference `vector:fig-sphere' on page 493 undefined on input lin
e 1678.


LaTeX Warning: Reference `vector:fig-sphere' on page 493 undefined on input lin
e 1678.


LaTeX Warning: Reference `vector:230:fig-cylindrical-basis' on page 493 undefin
ed on input line 1679.


LaTeX Warning: Reference `vector:230:fig-cylindrical-basis' on page 493 undefin
ed on input line 1679.


LaTeX Warning: Reference `vector:230:fig-spherical-basis' on page 493 undefined
 on input line 1680.


LaTeX Warning: Reference `vector:230:fig-spherical-basis' on page 493 undefined
 on input line 1680.


LaTeX Warning: Reference `vcalc:430:tbl' on page 493 undefined on input line 16
82.


LaTeX Warning: Reference `vector:280:t30' on page 493 undefined on input line 1
742.


LaTeX Warning: Reference `vector:280:t56' on page 493 undefined on input line 1
743.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 493 undefined on input line
 1765.




LaTeX Warning: Reference `vcalc:420' on page 495 undefined on input line 1769.


LaTeX Warning: Reference `vcalc:420:tbl' on page 495 undefined on input line 17
72.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 495 undefined on input line
 1781.


LaTeX Warning: Reference `vcalc:380:10' on page 495 undefined on input line 180
4.


LaTeX Warning: Reference `vcalc:430:tbl' on page 495 undefined on input line 18
06.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 495 undefined on input line
 1845.



LaTeX Warning: Reference `vcalc:420.30' on page 496 undefined on input line 186
1.


LaTeX Warning: Reference `vcalc:380:10' on page 496 undefined on input line 186
8.


LaTeX Warning: Reference `drvtv:250:35' on page 496 undefined on input line 191
0.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 496 undefined on input line
 1918.



LaTeX Warning: Reference `vcalc:440.cyl:tbl' on page 497 undefined on input lin
e 1998.


LaTeX Warning: Citation `Balanis' on page 497 undefined on input line 1998.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 497 undefined on input line
 2048.


LaTeX Warning: Reference `vcalc:440.cyl:tbl' on page 497 undefined on input lin
e 2064.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 497 undefined on input line
 2067.



LaTeX Warning: Reference `vcalc:440.cyl' on page 498 undefined on input line 20
87.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 498 undefined on input line
 2089.


Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `vcalc:420:tbl' on page 499 undefined on input line 20
93.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 499 undefined on input line
 2102.


LaTeX Warning: Reference `vcalc:tbl-diffid' on page 499 undefined on input line
 2149.


LaTeX Warning: Reference `vcalc:440.cyl' on page 499 undefined on input line 21
50.



LaTeX Warning: Reference `vcalc:tbl-diffid' on page 500 undefined on input line
 2185.


LaTeX Warning: Reference `vcalc:440.cyl' on page 500 undefined on input line 21
86.


LaTeX Warning: Reference `vcalc:440.sph:tbl' on page 500 undefined on input lin
e 2260.


LaTeX Warning: Citation `Balanis' on page 500 undefined on input line 2260.


LaTeX Warning: Reference `vcalc:440.cyl' on page 500 undefined on input line 23
16.




LaTeX Warning: Reference `vcalc:440.cyl' on page 502 undefined on input line 23
24.


LaTeX Warning: Reference `vcalc:440.sph' on page 502 undefined on input line 23
24.


LaTeX Warning: Reference `vcalc:320:35' on page 502 undefined on input line 232
8.


LaTeX Warning: Reference `vcalc:320.30' on page 502 undefined on input line 233
4.


LaTeX Warning: Reference `vcalc:flux' on page 502 undefined on input line 2336.



LaTeX Warning: Reference `taylor:370' on page 502 undefined on input line 2394.



LaTeX Warning: Reference `taylor' on page 502 undefined on input line 2394.


LaTeX Warning: Reference `intro:284.2' on page 502 undefined on input line 2394
.


Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `vcalc:420:21' on page 503 undefined on input line 241
7.



LaTeX Warning: Reference `vcalc:425' on page 504 undefined on input line 2478.


LaTeX Warning: Reference `vcalc:440.geo:20' on page 504 undefined on input line
 2484.


LaTeX Warning: Reference `vcalc:320:45' on page 504 undefined on input line 249
5.


LaTeX Warning: Reference `vcalc:440.geo:30' on page 504 undefined on input line
 2501.


LaTeX Warning: Reference `vcalc:circulation' on page 504 undefined on input lin
e 2506.



LaTeX Warning: Reference `vcalc:440.geo:30' on page 505 undefined on input line
 2569.



LaTeX Warning: Reference `vcalc:440.geo:37' on page 506 undefined on input line
 2647.


LaTeX Warning: Reference `vcalc:440.geo:27' on page 506 undefined on input line
 2657.


LaTeX Warning: Reference `vcalc:440.geo:37' on page 506 undefined on input line
 2658.


LaTeX Warning: Reference `vcalc:440.cyl:tbl' on page 506 undefined on input lin
e 2667.


LaTeX Warning: Reference `vcalc:440.sph:tbl' on page 506 undefined on input lin
e 2667.


LaTeX Warning: Reference `vcalc:440.geo:27' on page 506 undefined on input line
 2668.


LaTeX Warning: Reference `vcalc:440.geo:37' on page 506 undefined on input line
 2668.


LaTeX Warning: Reference `vcalc:440.geo:47' on page 506 undefined on input line
 2669.


LaTeX Warning: Reference `vector:280' on page 506 undefined on input line 2671.



Underfull \vbox (badness 5862) has occurred while \output is active

LaTeX Warning: Reference `vector' on page 507 undefined on input line 2763.


LaTeX Warning: Reference `vcalc' on page 507 undefined on input line 2763.


LaTeX Warning: Reference `matrix' on page 507 undefined on input line 2764.


LaTeX Warning: Reference `eigen' on page 507 undefined on input line 2764.



LaTeX Warning: Reference `inttx' on page 508 undefined on input line 2777.

)


(./fours.tex
Chapter 17.

LaTeX Warning: Citation `JJH' on page 511 undefined on input line 16.


LaTeX Warning: Reference `taylor' on page 511 undefined on input line 33.


LaTeX Warning: Reference `fours:000:fig10' on page 511 undefined on input line 
41.

[61]

LaTeX Warning: Reference `fours:000:fig10' on page 511 undefined on input line 
102.


LaTeX Warning: Reference `fours:000:fig20' on page 511 undefined on input line 
103.



LaTeX Warning: Reference `fours:000:fig10' on page 512 undefined on input line 
124.


LaTeX Warning: Reference `fours:000:fig10' on page 512 undefined on input line 
124.

[62]

LaTeX Warning: Reference `fours:000:20' on page 512 undefined on input line 196
.


LaTeX Warning: Reference `alggeo:225:fig' on page 512 undefined on input line 2
14.


LaTeX Warning: Reference `fours:080:09' on page 512 undefined on input line 230
.



LaTeX Warning: Reference `fours:080:08' on page 513 undefined on input line 260
.


LaTeX Warning: Reference `fours:080:10' on page 513 undefined on input line 260
.


LaTeX Warning: Reference `fours:085' on page 513 undefined on input line 276.


LaTeX Warning: Reference `fours:080:10' on page 513 undefined on input line 281
.


LaTeX Warning: Reference `fours:080:15' on page 513 undefined on input line 282
.


LaTeX Warning: Reference `alggeo:228:45' on page 513 undefined on input line 28
5.


LaTeX Warning: Reference `fours:080:10' on page 513 undefined on input line 288
.


LaTeX Warning: Reference `fours:080:15' on page 513 undefined on input line 289
.


LaTeX Warning: Reference `fours:080:15' on page 513 undefined on input line 291
.


LaTeX Warning: Reference `fours:080:10' on page 513 undefined on input line 295
.


LaTeX Warning: Reference `fours:080:15' on page 513 undefined on input line 295
.


LaTeX Warning: Reference `fours:080:10' on page 513 undefined on input line 298
.


LaTeX Warning: Reference `fours:080:15' on page 513 undefined on input line 298
.


LaTeX Warning: Reference `fouri:110:parseval' on page 513 undefined on input li
ne 315.


LaTeX Warning: Reference `inttx:260.20' on page 513 undefined on input line 318
.


LaTeX Warning: Reference `fouri:110.55' on page 513 undefined on input line 320
.




LaTeX Warning: Reference `fours:085:10' on page 515 undefined on input line 500
.



LaTeX Warning: Reference `lapl:360' on page 516 undefined on input line 552.



LaTeX Warning: Reference `fours:080' on page 517 undefined on input line 593.


LaTeX Warning: Reference `integ:670' on page 517 undefined on input line 624.


LaTeX Warning: Reference `integ:670:fig-d' on page 517 undefined on input line 
624.


Underfull \vbox (badness 2285) has occurred while \output is active

LaTeX Warning: Reference `fours:095:fig1' on page 518 undefined on input line 6
47.

[63]

LaTeX Warning: Reference `lapl:123' on page 519 undefined on input line 826.


LaTeX Warning: Reference `fours:095:40' on page 519 undefined on input line 869
.


LaTeX Warning: Reference `fours:095.10' on page 519 undefined on input line 870
.


LaTeX Warning: Reference `fours:095:10' on page 519 undefined on input line 872
.


LaTeX Warning: Reference `fours:095:fig1' on page 519 undefined on input line 8
73.


LaTeX Warning: Reference `fours:095:10' on page 519 undefined on input line 874
.


LaTeX Warning: Reference `fours:095:fig1' on page 519 undefined on input line 8
75.


LaTeX Warning: Reference `fours:095:42' on page 519 undefined on input line 876
.


LaTeX Warning: Reference `fours:095:43' on page 519 undefined on input line 877
.



LaTeX Warning: Reference `fours:095:fig5' on page 520 undefined on input line 9
17.

[64] [65] [66]

LaTeX Warning: Citation `Couch' on page 520 undefined on input line 1016.


LaTeX Warning: Reference `fours:095:fig2' on page 520 undefined on input line 1
035.

[67]

LaTeX Warning: Reference `fours:095:20' on page 520 undefined on input line 110
3.


LaTeX Warning: Reference `fours:095:41' on page 520 undefined on input line 110
3.


LaTeX Warning: Reference `fours:095:42' on page 520 undefined on input line 110
5.



LaTeX Warning: Reference `taylor:320' on page 521 undefined on input line 1127.



LaTeX Warning: Reference `fours:095:fig8' on page 521 undefined on input line 1
136.


LaTeX Warning: Reference `fouri:130' on page 521 undefined on input line 1137.


LaTeX Warning: Reference `prob' on page 521 undefined on input line 1140.

[68]

LaTeX Warning: Reference `fouri:130:60' on page 521 undefined on input line 120
0.


LaTeX Warning: Reference `fours:000:11' on page 521 undefined on input line 122
0.


LaTeX Warning: Reference `cexp:250:cos' on page 521 undefined on input line 122
3.


Underfull \vbox (badness 1577) has occurred while \output is active

LaTeX Warning: Reference `fours:080:08' on page 522 undefined on input line 122
9.


LaTeX Warning: Reference `fours:100:10' on page 522 undefined on input line 123
2.


LaTeX Warning: Reference `fours:100.80' on page 522 undefined on input line 123
3.


LaTeX Warning: Reference `fours:170' on page 522 undefined on input line 1234.


LaTeX Warning: Reference `fours:100:15' on page 522 undefined on input line 125
2.


LaTeX Warning: Reference `fours:100:10' on page 522 undefined on input line 125
7.


LaTeX Warning: Reference `fours:100:10' on page 522 undefined on input line 126
0.


LaTeX Warning: Reference `fours:100:10' on page 522 undefined on input line 126
2.


LaTeX Warning: Reference `fours:100:10' on page 522 undefined on input line 126
5.


LaTeX Warning: Reference `fours:080:10' on page 522 undefined on input line 127
1.


LaTeX Warning: Reference `fours:100:15' on page 522 undefined on input line 127
5.


LaTeX Warning: Reference `fours:100:15' on page 522 undefined on input line 127
5.


LaTeX Warning: Reference `fours:100:15' on page 522 undefined on input line 127
7.


LaTeX Warning: Reference `fours:100:15' on page 522 undefined on input line 128
0.


LaTeX Warning: Reference `fours:100:10' on page 522 undefined on input line 128
2.


LaTeX Warning: Reference `fours:100:15' on page 522 undefined on input line 128
3.



LaTeX Warning: Reference `fours:080:10' on page 523 undefined on input line 130
7.


LaTeX Warning: Reference `fours:100:15' on page 523 undefined on input line 130
8.


LaTeX Warning: Reference `fours:100:15' on page 523 undefined on input line 131
4.


LaTeX Warning: Reference `fours:100:10' on page 523 undefined on input line 131
7.


LaTeX Warning: Reference `fours:100:15' on page 523 undefined on input line 131
9.


LaTeX Warning: Reference `fours:100:15' on page 523 undefined on input line 132
6.


LaTeX Warning: Reference `fours:100:15' on page 523 undefined on input line 135
8.


LaTeX Warning: Reference `fours:100:10' on page 523 undefined on input line 136
0.



LaTeX Warning: Reference `integ:240.10' on page 524 undefined on input line 136
8.


LaTeX Warning: Reference `integ:240.20' on page 524 undefined on input line 136
8.


LaTeX Warning: Reference `conclu:convergence' on page 524 undefined on input li
ne 1369.


LaTeX Warning: Reference `fours:100:15' on page 524 undefined on input line 137
8.


LaTeX Warning: Reference `fours:000:fig10' on page 524 undefined on input line 
1379.



LaTeX Warning: Reference `fours:100:10' on page 525 undefined on input line 143
1.


LaTeX Warning: Reference `cexp:250:cos' on page 525 undefined on input line 143
1.


LaTeX Warning: Reference `fours:000:20' on page 525 undefined on input line 143
2.


LaTeX Warning: Reference `fours:000:fig20' on page 525 undefined on input line 
1433.


LaTeX Warning: Reference `fours:100.20' on page 525 undefined on input line 144
4.


LaTeX Warning: Reference `fours:000:20' on page 525 undefined on input line 144
5.


LaTeX Warning: Reference `fours:100.20' on page 525 undefined on input line 144
7.


LaTeX Warning: Reference `fours:100:fig3' on page 525 undefined on input line 1
456.


LaTeX Warning: Reference `fours:095:10' on page 525 undefined on input line 146
0.


LaTeX Warning: Reference `fours:000:fig10' on page 525 undefined on input line 
1462.

[69]

LaTeX Warning: Reference `fours:100.20' on page 525 undefined on input line 153
2.



LaTeX Warning: Reference `fours:160:05' on page 526 undefined on input line 156
2.


LaTeX Warning: Reference `taylor:315:60' on page 526 undefined on input line 15
70.


LaTeX Warning: Reference `fours:100:30' on page 526 undefined on input line 157
1.


LaTeX Warning: Reference `fours:085' on page 526 undefined on input line 1595.


LaTeX Warning: Reference `fours:100:fig3' on page 526 undefined on input line 1
595.


LaTeX Warning: Reference `integ:670:fig-d' on page 526 undefined on input line 
1597.


LaTeX Warning: Reference `fours:100:fig4' on page 526 undefined on input line 1
599.

[70]

LaTeX Warning: Reference `fours:100:36' on page 526 undefined on input line 164
9.


LaTeX Warning: Reference `fours:100:35' on page 526 undefined on input line 164
9.



LaTeX Warning: Reference `fouri:120:tbl20' on page 527 undefined on input line 
1665.


LaTeX Warning: Reference `fouri:120:tbl25' on page 527 undefined on input line 
1665.


LaTeX Warning: Reference `lapl:140:22' on page 527 undefined on input line 1667
.


LaTeX Warning: Reference `lapl:140.20' on page 527 undefined on input line 1667
.


LaTeX Warning: Reference `integ:240.05' on page 527 undefined on input line 167
8.


LaTeX Warning: Reference `fours:000:fig20' on page 527 undefined on input line 
1697.


LaTeX Warning: Reference `fours:100:15' on page 527 undefined on input line 172
9.



LaTeX Warning: Reference `fours:095:10' on page 528 undefined on input line 174
5.


LaTeX Warning: Reference `fours:080:15' on page 528 undefined on input line 178
8.


LaTeX Warning: Reference `matrix:180:IMC' on page 528 undefined on input line 1
801.


LaTeX Warning: Reference `mtxinv:220:20' on page 528 undefined on input line 18
02.



LaTeX Warning: Reference `eigen:370' on page 529 undefined on input line 1806.


LaTeX Warning: Reference `fouri:110.55' on page 529 undefined on input line 182
4.


LaTeX Warning: Reference `fouri:110:parseval2' on page 529 undefined on input l
ine 1824.


LaTeX Warning: Reference `fouri:110:parseval2a' on page 529 undefined on input 
line 1824.


LaTeX Warning: Citation `Tikoo' on page 529 undefined on input line 1824.


LaTeX Warning: Reference `fouri' on page 529 undefined on input line 1834.


LaTeX Warning: Reference `taylor' on page 529 undefined on input line 1845.


LaTeX Warning: Reference `taylor:310:fn1' on page 529 undefined on input line 1
845.


LaTeX Warning: Reference `fours:000:fig10' on page 529 undefined on input line 
1855.


LaTeX Warning: Reference `fours:000:fig20' on page 529 undefined on input line 
1855.


LaTeX Warning: Reference `fours:095.50' on page 529 undefined on input line 186
1.


LaTeX Warning: Citation `Robinson' on page 529 undefined on input line 1878.


LaTeX Warning: Citation `HFDavis' on page 529 undefined on input line 1878.


LaTeX Warning: Reference `fours:170' on page 529 undefined on input line 1881.



LaTeX Warning: Reference `fours:100:10' on page 530 undefined on input line 189
3.


LaTeX Warning: Reference `fours:100:15' on page 530 undefined on input line 189
4.


LaTeX Warning: Reference `cexp:euler' on page 530 undefined on input line 1897.



LaTeX Warning: Reference `fours:100:10' on page 530 undefined on input line 189
7.


LaTeX Warning: Reference `fours:100:15' on page 530 undefined on input line 190
5.


LaTeX Warning: Reference `fours:100:15' on page 530 undefined on input line 193
4.


LaTeX Warning: Reference `fours:100:15' on page 530 undefined on input line 194
0.


LaTeX Warning: Reference `fours:100:91' on page 530 undefined on input line 194
4.


LaTeX Warning: Reference `fours:100:93' on page 530 undefined on input line 194
4.



LaTeX Warning: Reference `fours:100' on page 531 undefined on input line 1962.


LaTeX Warning: Reference `fours:080' on page 531 undefined on input line 1963.


LaTeX Warning: Reference `fours:080' on page 531 undefined on input line 2001.



LaTeX Warning: Reference `fours:140:10' on page 532 undefined on input line 203
4.


LaTeX Warning: Reference `fours:140:15' on page 532 undefined on input line 203
5.


LaTeX Warning: Reference `fours:140:17' on page 532 undefined on input line 203
5.


LaTeX Warning: Citation `HFDavis' on page 532 undefined on input line 2036.


LaTeX Warning: Reference `fouri:110:57' on page 532 undefined on input line 204
2.


LaTeX Warning: Reference `fouri:110.55' on page 532 undefined on input line 204
3.


LaTeX Warning: Citation `Young-lecture' on page 532 undefined on input line 205
6.


LaTeX Warning: Reference `fours:140:fig-ramp' on page 532 undefined on input li
ne 2061.

[71]

LaTeX Warning: Reference `fours:140.60' on page 532 undefined on input line 212
9.


LaTeX Warning: Reference `fours:100' on page 532 undefined on input line 2130.


LaTeX Warning: Reference `inttx:470:tbl' on page 532 undefined on input line 21
42.


LaTeX Warning: Reference `fours:140:55' on page 532 undefined on input line 217
2.


LaTeX Warning: Reference `fours:140:15' on page 532 undefined on input line 217
2.


LaTeX Warning: Reference `fours:140:50' on page 532 undefined on input line 217
3.


LaTeX Warning: Reference `fours:140:fig-ramp' on page 532 undefined on input li
ne 2174.



LaTeX Warning: Reference `fours:140:fig-ramp' on page 533 undefined on input li
ne 2180.


LaTeX Warning: Reference `integ:basic-antider' on page 533 undefined on input l
ine 2181.


LaTeX Warning: Citation `wikip' on page 533 undefined on input line 2195.


LaTeX Warning: Reference `fours:140:60' on page 533 undefined on input line 219
8.


LaTeX Warning: Reference `fours:140:60' on page 533 undefined on input line 220
5.


LaTeX Warning: Reference `fours:140:60' on page 533 undefined on input line 220
9.


LaTeX Warning: Reference `fours:140:60' on page 533 undefined on input line 221
0.


LaTeX Warning: Reference `fours:140:60' on page 533 undefined on input line 221
3.


LaTeX Warning: Reference `taylor:355:15' on page 533 undefined on input line 22
15.


LaTeX Warning: Reference `taylor:355:15' on page 533 undefined on input line 22
17.


LaTeX Warning: Reference `fours:140:60' on page 533 undefined on input line 221
8.



LaTeX Warning: Reference `fours:100:20' on page 534 undefined on input line 224
7.


LaTeX Warning: Reference `fours:000:fig10' on page 534 undefined on input line 
2248.


LaTeX Warning: Reference `fours:140:60' on page 534 undefined on input line 226
2.


LaTeX Warning: Reference `fours:140:65' on page 534 undefined on input line 226
3.


LaTeX Warning: Reference `fouri:140:tbl' on page 534 undefined on input line 22
67.


LaTeX Warning: Reference `taylor:316.70' on page 534 undefined on input line 22
92.


LaTeX Warning: Reference `taylor:316.25' on page 534 undefined on input line 22
94.


LaTeX Warning: Reference `taylor:316:fig-maj' on page 534 undefined on input li
ne 2294.


LaTeX Warning: Reference `fours:100:30' on page 534 undefined on input line 230
5.


LaTeX Warning: Reference `fours:100:fig3' on page 534 undefined on input line 2
306.


LaTeX Warning: Reference `fours:100:30' on page 534 undefined on input line 230
7.



LaTeX Warning: Citation `Phillips/Parr' on page 535 undefined on input line 233
0.


LaTeX Warning: Citation `Couch' on page 535 undefined on input line 2330.


LaTeX Warning: Citation `Octave' on page 535 undefined on input line 2330.


LaTeX Warning: Reference `fours:160:fig' on page 535 undefined on input line 23
31.

[72]

LaTeX Warning: Reference `taylor:315:tbl' on page 535 undefined on input line 2
388.


LaTeX Warning: Reference `fours:170' on page 535 undefined on input line 2400.


LaTeX Warning: Reference `fours:160:10' on page 535 undefined on input line 241
5.


LaTeX Warning: Reference `drvtv:proddiv' on page 535 undefined on input line 24
16.


LaTeX Warning: Reference `fours:160:20' on page 535 undefined on input line 242
1.


LaTeX Warning: Reference `fours:160:figi' on page 535 undefined on input line 2
428.


LaTeX Warning: Citation `Lebedev' on page 535 undefined on input line 2431.

[73]

LaTeX Warning: Reference `fours:160:10' on page 536 undefined on input line 255
7.


LaTeX Warning: Reference `trig:226:f1' on page 536 undefined on input line 2563
.


LaTeX Warning: Reference `taylor:315:60' on page 536 undefined on input line 25
64.


LaTeX Warning: Reference `fours:160:20' on page 536 undefined on input line 256
4.



LaTeX Warning: Reference `fours:160:fig' on page 537 undefined on input line 25
69.


LaTeX Warning: Reference `fours:160:30' on page 537 undefined on input line 257
2.


LaTeX Warning: Reference `cexp:drv' on page 537 undefined on input line 2582.


LaTeX Warning: Reference `fours:160:fig3' on page 537 undefined on input line 2
588.

[74]

LaTeX Warning: Reference `fours:160:35' on page 537 undefined on input line 264
9.



LaTeX Warning: Reference `taylor:316.25' on page 538 undefined on input line 26
88.



LaTeX Warning: Reference `fours:160:41' on page 539 undefined on input line 273
9.


LaTeX Warning: Reference `fours:160:41' on page 539 undefined on input line 277
1.


LaTeX Warning: Reference `fours:160:35' on page 539 undefined on input line 277
3.


LaTeX Warning: Reference `cexp:250:sin' on page 539 undefined on input line 277
8.


LaTeX Warning: Reference `inttx:250' on page 539 undefined on input line 2789.


LaTeX Warning: Reference `fours:160:fig-contour' on page 539 undefined on input
 line 2798.

[75]

LaTeX Warning: Reference `inttx:250:triangle' on page 539 undefined on input li
ne 2870.




LaTeX Warning: Reference `inttx:reversal:20' on page 541 undefined on input lin
e 2946.


LaTeX Warning: Reference `inttx:reversal:30' on page 541 undefined on input lin
e 2947.


LaTeX Warning: Reference `fours:170' on page 541 undefined on input line 2979.


LaTeX Warning: Reference `fours:100.80' on page 541 undefined on input line 299
1.


LaTeX Warning: Reference `fours:000:fig20' on page 541 undefined on input line 
2994.



LaTeX Warning: Reference `integ:670:fig-d' on page 542 undefined on input line 
3003.


LaTeX Warning: Reference `fours:095:fig1' on page 542 undefined on input line 3
004.


LaTeX Warning: Reference `fours:095:30' on page 542 undefined on input line 300
5.


LaTeX Warning: Reference `fours:095' on page 542 undefined on input line 3007.


LaTeX Warning: Reference `fours:095.50' on page 542 undefined on input line 300
8.


LaTeX Warning: Citation `JJH' on page 542 undefined on input line 3020.


LaTeX Warning: Citation `Khamsi' on page 542 undefined on input line 3025.


LaTeX Warning: Citation `Wilbraham:1848' on page 542 undefined on input line 30
35.


LaTeX Warning: Citation `Gibbs:1899' on page 542 undefined on input line 3035.


LaTeX Warning: Reference `fours:000:fig20' on page 542 undefined on input line 
3037.


LaTeX Warning: Reference `fours:000:fig20' on page 542 undefined on input line 
3037.


LaTeX Warning: Reference `fours:000:20' on page 542 undefined on input line 304
8.



LaTeX Warning: Reference `fours:160:41' on page 543 undefined on input line 308
8.


LaTeX Warning: Reference `fours:170:20' on page 543 undefined on input line 308
9.


LaTeX Warning: Reference `fours:160:figi' on page 543 undefined on input line 3
096.


LaTeX Warning: Reference `fours:160.33' on page 543 undefined on input line 310
6.


LaTeX Warning: Reference `fours:160:35' on page 543 undefined on input line 311
1.


LaTeX Warning: Citation `OEIS' on page 543 undefined on input line 3111.


LaTeX Warning: Reference `fours:170:fig10' on page 543 undefined on input line 
3131.

[76]

LaTeX Warning: Reference `fours:095.50' on page 544 undefined on input line 318
6.


LaTeX Warning: Reference `prob:100:40' on page 544 undefined on input line 3196
.

)
(./fouri.tex
Chapter 18.

LaTeX Warning: Reference `fours' on page 545 undefined on input line 10.


LaTeX Warning: Reference `fouri:100:fig' on page 545 undefined on input line 41
.

[77]

LaTeX Warning: Reference `fours:095:10' on page 545 undefined on input line 102
.


LaTeX Warning: Reference `fours:095' on page 545 undefined on input line 102.


LaTeX Warning: Reference `fours:100:15' on page 545 undefined on input line 104
.


LaTeX Warning: Reference `fours:100:10' on page 545 undefined on input line 106
.



LaTeX Warning: Reference `fours:080:08' on page 546 undefined on input line 136
.


LaTeX Warning: Reference `fouri:eqn' on page 546 undefined on input line 173.


LaTeX Warning: Reference `fouri:eqn' on page 546 undefined on input line 176.


LaTeX Warning: Reference `fouri:xform' on page 546 undefined on input line 191.



LaTeX Warning: Reference `fouri:xform' on page 546 undefined on input line 192.



LaTeX Warning: Reference `fouri:eqn' on page 546 undefined on input line 192.



LaTeX Warning: Reference `fouri:xform' on page 547 undefined on input line 208.



LaTeX Warning: Reference `fouri:invxform' on page 547 undefined on input line 2
10.


LaTeX Warning: Reference `fouri:xform' on page 547 undefined on input line 212.



LaTeX Warning: Reference `fouri:invxform' on page 547 undefined on input line 2
14.


LaTeX Warning: Reference `fouri:xform' on page 547 undefined on input line 215.



LaTeX Warning: Reference `fours:100:10' on page 547 undefined on input line 216
.


LaTeX Warning: Reference `fours:100:15' on page 547 undefined on input line 216
.


LaTeX Warning: Citation `Phillips/Parr' on page 547 undefined on input line 228
.


LaTeX Warning: Citation `Couch' on page 547 undefined on input line 228.


LaTeX Warning: Reference `lapl:360' on page 547 undefined on input line 228.


LaTeX Warning: Citation `Feynman' on page 547 undefined on input line 228.


LaTeX Warning: Reference `fouri:100:figt' on page 547 undefined on input line 2
30.


LaTeX Warning: Reference `fouri:100:fig' on page 547 undefined on input line 23
1.


LaTeX Warning: Reference `fouri:100:fig' on page 547 undefined on input line 23
3.

[78]

LaTeX Warning: Reference `fours:085' on page 547 undefined on input line 310.



LaTeX Warning: Reference `fouri:byu' on page 548 undefined on input line 343.


LaTeX Warning: Reference `fouri:xform' on page 548 undefined on input line 361.



LaTeX Warning: Reference `fouri:invxform' on page 548 undefined on input line 3
62.


Underfull \hbox (badness 1365) in paragraph at lines 360--368
\OT1/cmr/m/n/10.95 which are just ([]) and ([]) to-gether with their dummy vari
-ables

LaTeX Warning: Reference `fours:095:10' on page 548 undefined on input line 389
.


LaTeX Warning: Reference `fouri:byu' on page 548 undefined on input line 390.


LaTeX Warning: Reference `inttx:470:tbl' on page 548 undefined on input line 40
5.



LaTeX Warning: Reference `fours:160:10' on page 549 undefined on input line 420
.


LaTeX Warning: Reference `fouri:100:44' on page 549 undefined on input line 435
.


LaTeX Warning: Reference `fouri:100:45' on page 549 undefined on input line 435
.


LaTeX Warning: Reference `fouri:100:45' on page 549 undefined on input line 435
.


LaTeX Warning: Reference `fouri:110' on page 549 undefined on input line 441.


LaTeX Warning: Reference `fours:095:50' on page 549 undefined on input line 453
.


Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `fouri:100:46' on page 550 undefined on input line 705
.


LaTeX Warning: Reference `fouri:100:44' on page 550 undefined on input line 705
.


LaTeX Warning: Reference `fouri:100:45' on page 550 undefined on input line 705
.


LaTeX Warning: Reference `trig:275:table' on page 550 undefined on input line 7
05.


LaTeX Warning: Reference `fouri:100.90' on page 550 undefined on input line 715
.


LaTeX Warning: Reference `trig:275:table' on page 550 undefined on input line 7
42.



LaTeX Warning: Reference `fouri:100:45' on page 551 undefined on input line 753
.


LaTeX Warning: Reference `fouri:100:46' on page 551 undefined on input line 753
.


LaTeX Warning: Reference `drvtv:260:lhopital' on page 551 undefined on input li
ne 773.


LaTeX Warning: Reference `fours:160:30' on page 551 undefined on input line 774
.


LaTeX Warning: Reference `fours:095' on page 551 undefined on input line 810.


LaTeX Warning: Reference `fouri:100.40' on page 551 undefined on input line 811
.


LaTeX Warning: Reference `fouri:120:tbl20' on page 551 undefined on input line 
812.


LaTeX Warning: Reference `fours:095.10' on page 551 undefined on input line 821
.


LaTeX Warning: Reference `fours:095:fig1' on page 551 undefined on input line 8
21.


LaTeX Warning: Reference `fours:095.50' on page 551 undefined on input line 824
.


LaTeX Warning: Reference `fours:095:fig5' on page 551 undefined on input line 8
24.


LaTeX Warning: Reference `lapl:123' on page 551 undefined on input line 839.



LaTeX Warning: Reference `fouri:100:90' on page 552 undefined on input line 843
.


LaTeX Warning: Reference `fouri:100:91' on page 552 undefined on input line 853
.


LaTeX Warning: Reference `fouri:100:90' on page 552 undefined on input line 862
.


LaTeX Warning: Reference `fouri:100:91' on page 552 undefined on input line 863
.


LaTeX Warning: Reference `fouri:110:tbl20' on page 552 undefined on input line 
870.


LaTeX Warning: Reference `fouri:110' on page 552 undefined on input line 870.


LaTeX Warning: Reference `fouri:100:figt' on page 552 undefined on input line 8
87.


LaTeX Warning: Reference `fouri:100:figt' on page 552 undefined on input line 8
87.



LaTeX Warning: Reference `fouri:byu' on page 553 undefined on input line 900.


LaTeX Warning: Reference `fouri:110:18a' on page 553 undefined on input line 93
8.


LaTeX Warning: Reference `fours' on page 553 undefined on input line 938.


LaTeX Warning: Reference `fours:100:10' on page 553 undefined on input line 938
.


LaTeX Warning: Reference `fours:100:15' on page 553 undefined on input line 938
.


LaTeX Warning: Reference `fouri:xform' on page 553 undefined on input line 938.



LaTeX Warning: Reference `fouri:byu' on page 553 undefined on input line 938.


LaTeX Warning: Reference `alggeo:225.2' on page 553 undefined on input line 938
.


LaTeX Warning: Reference `alggeo:225:conj2' on page 553 undefined on input line
 938.


LaTeX Warning: Reference `fouri:110:18a' on page 553 undefined on input line 93
8.


LaTeX Warning: Reference `fouri:100:fig' on page 553 undefined on input line 93
8.


LaTeX Warning: Reference `fouri:100:figt' on page 553 undefined on input line 9
38.


LaTeX Warning: Reference `alggeo:225:25' on page 553 undefined on input line 94
7.


LaTeX Warning: Reference `fouri:110:18a' on page 553 undefined on input line 95
5.


LaTeX Warning: Reference `fouri:110:tbl20' on page 553 undefined on input line 
963.



LaTeX Warning: Reference `fours:100.80' on page 554 undefined on input line 983
.


LaTeX Warning: Reference `fouri:110:19b' on page 554 undefined on input line 98
8.


LaTeX Warning: Reference `fouri:100:figt' on page 554 undefined on input line 9
91.


LaTeX Warning: Reference `fouri:byu' on page 554 undefined on input line 999.


LaTeX Warning: Reference `fouri:byu' on page 554 undefined on input line 1008.


LaTeX Warning: Reference `fouri:100:30' on page 554 undefined on input line 102
0.


LaTeX Warning: Reference `fouri:110:10' on page 554 undefined on input line 102
1.


LaTeX Warning: Reference `fouri:110:10' on page 554 undefined on input line 103
1.


LaTeX Warning: Reference `fouri:110:12' on page 554 undefined on input line 103
1.


LaTeX Warning: Reference `fouri:100.40' on page 554 undefined on input line 103
9.



LaTeX Warning: Reference `fouri:110:10' on page 555 undefined on input line 104
8.


LaTeX Warning: Reference `fouri:120:tbl20' on page 555 undefined on input line 
1052.


LaTeX Warning: Reference `fouri:110:10' on page 555 undefined on input line 106
2.


LaTeX Warning: Reference `fouri:byu' on page 555 undefined on input line 1063.


LaTeX Warning: Reference `fouri:110:15' on page 555 undefined on input line 106
4.


LaTeX Warning: Reference `fouri:120' on page 555 undefined on input line 1066.


LaTeX Warning: Reference `fouri:110:15' on page 555 undefined on input line 106
7.


LaTeX Warning: Reference `fouri:120' on page 555 undefined on input line 1080.


LaTeX Warning: Reference `fouri:byu' on page 555 undefined on input line 1084.


LaTeX Warning: Reference `integ:670:20' on page 555 undefined on input line 108
4.


LaTeX Warning: Reference `integ:670:sift' on page 555 undefined on input line 1
085.


LaTeX Warning: Reference `fouri:110:12' on page 555 undefined on input line 108
9.


LaTeX Warning: Reference `fouri:110:22' on page 555 undefined on input line 109
7.


LaTeX Warning: Reference `fouri:byu' on page 555 undefined on input line 1099.


Underfull \hbox (badness 10000) in paragraph at lines 1096--1109
\OT1/cmr/m/n/10.95 ac-cord-ing to eqn. [] we would have found the pair $1 []


LaTeX Warning: Reference `fouri:byu' on page 556 undefined on input line 1118.


LaTeX Warning: Reference `fouri:byu' on page 556 undefined on input line 1123.


LaTeX Warning: Reference `fouri:110.10' on page 556 undefined on input line 113
6.


LaTeX Warning: Reference `fouri:100.10' on page 556 undefined on input line 115
1.


LaTeX Warning: Reference `fouri:110:12' on page 556 undefined on input line 115
9.


LaTeX Warning: Reference `fouri:110:12' on page 556 undefined on input line 119
3.



LaTeX Warning: Reference `fouri:110:25' on page 557 undefined on input line 119
9.


LaTeX Warning: Reference `fouri:110:27f' on page 557 undefined on input line 12
29.


LaTeX Warning: Reference `fouri:110:27g' on page 557 undefined on input line 12
29.


LaTeX Warning: Reference `fouri:110:26' on page 557 undefined on input line 124
8.


LaTeX Warning: Reference `fouri:110:27f' on page 557 undefined on input line 12
55.


LaTeX Warning: Reference `fouri:110:27g' on page 557 undefined on input line 12
55.



LaTeX Warning: Reference `fouri:110:27f' on page 558 undefined on input line 12
90.


LaTeX Warning: Reference `fouri:110:27g' on page 558 undefined on input line 12
90.


LaTeX Warning: Reference `fouri:110:43' on page 558 undefined on input line 129
5.


LaTeX Warning: Reference `fouri:110:10' on page 558 undefined on input line 129
7.


LaTeX Warning: Reference `fouri:110:tbl20' on page 558 undefined on input line 
1310.


LaTeX Warning: Reference `fouri:byu' on page 558 undefined on input line 1361.


LaTeX Warning: Reference `fouri:byu' on page 558 undefined on input line 1364.


LaTeX Warning: Reference `inttx:reversal' on page 558 undefined on input line 1
364.


LaTeX Warning: Reference `inttx:reversal:70' on page 558 undefined on input lin
e 1365.


LaTeX Warning: Reference `fouri:byu' on page 558 undefined on input line 1374.


LaTeX Warning: Reference `fouri:110.27' on page 558 undefined on input line 138
9.


LaTeX Warning: Reference `fouri:110.27' on page 558 undefined on input line 140
7.


LaTeX Warning: Reference `fouri:110.40' on page 558 undefined on input line 140
7.




LaTeX Warning: Reference `drvtv:defz' on page 560 undefined on input line 1413.



LaTeX Warning: Reference `fouri:125:10' on page 560 undefined on input line 142
0.


LaTeX Warning: Reference `fouri:125' on page 560 undefined on input line 1421.


LaTeX Warning: Reference `fouri:110:parseval' on page 560 undefined on input li
ne 1423.


LaTeX Warning: Reference `fouri:110:parseval2' on page 560 undefined on input l
ine 1424.


LaTeX Warning: Reference `lapl:140:22' on page 560 undefined on input line 1424
.


LaTeX Warning: Reference `fouri:110.55' on page 560 undefined on input line 142
5.


LaTeX Warning: Reference `lapl:140.20' on page 560 undefined on input line 1425
.


LaTeX Warning: Citation `Hsu:sig' on page 560 undefined on input line 1467.


LaTeX Warning: Reference `fouri:110:40' on page 560 undefined on input line 147
0.


LaTeX Warning: Reference `fouri:byu' on page 560 undefined on input line 1472.


LaTeX Warning: Reference `fours:100.10' on page 560 undefined on input line 147
5.



LaTeX Warning: Reference `fouri:110:42' on page 561 undefined on input line 156
7.


LaTeX Warning: Reference `fouri:110.27' on page 561 undefined on input line 156
7.



LaTeX Warning: Reference `fouri:110:27f' on page 562 undefined on input line 15
89.


LaTeX Warning: Reference `fouri:110:27g' on page 562 undefined on input line 15
89.


LaTeX Warning: Reference `fouri:110:42' on page 562 undefined on input line 160
6.


LaTeX Warning: Reference `fouri:110:42' on page 562 undefined on input line 161
8.


LaTeX Warning: Reference `fouri:110:43' on page 562 undefined on input line 161
8.


LaTeX Warning: Reference `fouri:110:40' on page 562 undefined on input line 162
6.


LaTeX Warning: Reference `fouri:110:12' on page 562 undefined on input line 163
3.



LaTeX Warning: Reference `fouri:110:18a' on page 563 undefined on input line 18
19.


LaTeX Warning: Reference `fouri:110:42' on page 563 undefined on input line 183
8.


LaTeX Warning: Reference `fouri:110:43' on page 563 undefined on input line 183
9.


LaTeX Warning: Reference `fouri:110:48' on page 563 undefined on input line 185
7.


LaTeX Warning: Reference `fouri:110:49' on page 563 undefined on input line 185
7.


LaTeX Warning: Citation `HFDavis' on page 563 undefined on input line 1866.


LaTeX Warning: Reference `fouri:110.15' on page 563 undefined on input line 186
8.


LaTeX Warning: Reference `fouri:110:40' on page 563 undefined on input line 187
2.


LaTeX Warning: Reference `fouri:110:45' on page 563 undefined on input line 187
3.


LaTeX Warning: Citation `EWW-web' on page 563 undefined on input line 1885.


LaTeX Warning: Reference `fouri:110:48' on page 563 undefined on input line 188
9.


LaTeX Warning: Reference `fouri:110:45a' on page 563 undefined on input line 18
90.


LaTeX Warning: Reference `fouri:110:49' on page 563 undefined on input line 189
1.


LaTeX Warning: Citation `JJH' on page 563 undefined on input line 1895.



LaTeX Warning: Citation `Hsu:comm' on page 564 undefined on input line 1922.


LaTeX Warning: Reference `fouri:110:50' on page 564 undefined on input line 193
1.


Underfull \hbox (badness 4132) in paragraph at lines 1929--1940
\OT1/cmr/m/n/10.95 by Fourier trans-for-ma-tion as $\OML/cmm/m/it/10.95 f\OT1/c
mr/m/n/10.95 (\OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 ^^C
 \OT1/cmr/m/n/10.95 [\OML/cmm/m/it/10.95 g\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.
95 v\OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 ^^C \OML/cmm/m/it/10.95 h\OT1/cmr/
m/n/10.95 (\OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 )] [] ( [])\OML/cmm/m/it/10.
95 F\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 )

LaTeX Warning: Reference `fouri:110:54' on page 564 undefined on input line 195
0.


LaTeX Warning: Reference `fouri:110:48' on page 564 undefined on input line 195
1.


LaTeX Warning: Reference `fouri:110:57' on page 564 undefined on input line 195
7.


LaTeX Warning: Citation `Hsu:comm' on page 564 undefined on input line 1958.


LaTeX Warning: Reference `fouri:110:57' on page 564 undefined on input line 195
9.


LaTeX Warning: Reference `fouri:110:57' on page 564 undefined on input line 196
4.



LaTeX Warning: Reference `fouri:110:tbl40' on page 565 undefined on input line 
1968.


LaTeX Warning: Reference `fouri:110:tbl41' on page 565 undefined on input line 
1968.


LaTeX Warning: Reference `lapl:140' on page 565 undefined on input line 2087.


LaTeX Warning: Reference `fouri:byu' on page 565 undefined on input line 2118.


LaTeX Warning: Citation `Couch' on page 565 undefined on input line 2127.


LaTeX Warning: Citation `Hsu:comm' on page 565 undefined on input line 2127.


LaTeX Warning: Reference `fours:080' on page 565 undefined on input line 2128.


LaTeX Warning: Reference `fours:140.10' on page 565 undefined on input line 212
9.





LaTeX Warning: Reference `fours:085' on page 568 undefined on input line 2162.


LaTeX Warning: Reference `fouri:110:parseval2' on page 568 undefined on input l
ine 2163.


LaTeX Warning: Citation `Couch' on page 568 undefined on input line 2174.


LaTeX Warning: Reference `fouri:byu' on page 568 undefined on input line 2192.


LaTeX Warning: Reference `taylor:365' on page 568 undefined on input line 2210.



LaTeX Warning: Reference `fouri:100.40' on page 568 undefined on input line 222
2.


LaTeX Warning: Reference `fouri:110.20' on page 568 undefined on input line 222
2.



LaTeX Warning: Reference `fouri:110:15' on page 569 undefined on input line 222
9.


LaTeX Warning: Reference `fouri:110:33' on page 569 undefined on input line 223
3.


LaTeX Warning: Reference `fouri:110:tbl20' on page 569 undefined on input line 
2234.


LaTeX Warning: Reference `fouri:110:15' on page 569 undefined on input line 224
0.


LaTeX Warning: Reference `fouri:120:tbl20' on page 569 undefined on input line 
2243.


LaTeX Warning: Reference `fouri:120:tbl25' on page 569 undefined on input line 
2243.


LaTeX Warning: Reference `fours:160:fig' on page 569 undefined on input line 22
51.


LaTeX Warning: Reference `fouri:110:tbl20' on page 569 undefined on input line 
2257.


LaTeX Warning: Reference `fouri:120:tbl25' on page 569 undefined on input line 
2263.


LaTeX Warning: Reference `fouri:120:tbl25' on page 569 undefined on input line 
2331.


LaTeX Warning: Reference `fouri:130' on page 569 undefined on input line 2332.


LaTeX Warning: Reference `fouri:byu' on page 569 undefined on input line 2345.


LaTeX Warning: Reference `integ:670:10' on page 569 undefined on input line 234
7.


LaTeX Warning: Reference `fouri:120:21' on page 569 undefined on input line 236
6.




LaTeX Warning: Reference `fouri:120:21' on page 571 undefined on input line 237
3.


LaTeX Warning: Reference `fouri:110.65' on page 571 undefined on input line 237
4.


LaTeX Warning: Reference `integ:670:fig-u' on page 571 undefined on input line 
2376.


LaTeX Warning: Reference `fouri:110:22' on page 571 undefined on input line 237
8.


LaTeX Warning: Reference `fouri:byu' on page 571 undefined on input line 2393.


LaTeX Warning: Reference `inttx:470:tbl' on page 571 undefined on input line 23
99.


LaTeX Warning: Citation `Phillips/Parr' on page 571 undefined on input line 240
8.



LaTeX Warning: Reference `fouri:110:22' on page 572 undefined on input line 242
9.


LaTeX Warning: Reference `fouri:110:tbl20' on page 572 undefined on input line 
2430.


LaTeX Warning: Reference `cexp:tbl-prop' on page 572 undefined on input line 24
31.


LaTeX Warning: Reference `fours:100:fig4' on page 572 undefined on input line 2
455.


LaTeX Warning: Reference `fours:100:37' on page 572 undefined on input line 245
7.


LaTeX Warning: Reference `fours:100:10' on page 572 undefined on input line 245
7.


LaTeX Warning: Reference `fouri:120:26' on page 572 undefined on input line 246
2.


LaTeX Warning: Reference `fouri:120:25' on page 572 undefined on input line 247
1.



LaTeX Warning: Reference `fouri:120:tbl20' on page 573 undefined on input line 
2479.


LaTeX Warning: Reference `fouri:120:tbl25' on page 573 undefined on input line 
2479.


LaTeX Warning: Reference `fouri:130' on page 573 undefined on input line 2480.


LaTeX Warning: Reference `drvtv' on page 573 undefined on input line 2491.


LaTeX Warning: Reference `cexp' on page 573 undefined on input line 2491.


LaTeX Warning: Reference `fouri:120.35' on page 573 undefined on input line 250
8.


LaTeX Warning: Reference `prob' on page 573 undefined on input line 2521.


LaTeX Warning: Reference `prob:normdist' on page 573 undefined on input line 25
27.


LaTeX Warning: Reference `prob:normdist-fig' on page 573 undefined on input lin
e 2531.


LaTeX Warning: Reference `fours:095:fig8' on page 573 undefined on input line 2
532.


LaTeX Warning: Reference `prob:normdist-fig' on page 573 undefined on input lin
e 2533.


LaTeX Warning: Reference `fours:095:fig8' on page 573 undefined on input line 2
533.


LaTeX Warning: Reference `fouri:120' on page 573 undefined on input line 2535.


LaTeX Warning: Citation `Hsu:sig' on page 573 undefined on input line 2539.


LaTeX Warning: Reference `fouri:byu' on page 573 undefined on input line 2540.



LaTeX Warning: Reference `alggeo:240' on page 574 undefined on input line 2547.



LaTeX Warning: Citation `Davis-Westin-conversation' on page 574 undefined on in
put line 2548.


LaTeX Warning: Reference `inttx:250' on page 574 undefined on input line 2570.


LaTeX Warning: Reference `taylor:330' on page 574 undefined on input line 2573.



LaTeX Warning: Reference `inttx' on page 574 undefined on input line 2596.


LaTeX Warning: Reference `inttx:450' on page 574 undefined on input line 2603.



LaTeX Warning: Citation `Feynman' on page 575 undefined on input line 2628.


LaTeX Warning: Reference `inttx:210' on page 575 undefined on input line 2675.



LaTeX Warning: Reference `fouri:130:25' on page 576 undefined on input line 269
6.


LaTeX Warning: Reference `fouri:130:20' on page 576 undefined on input line 269
6.


LaTeX Warning: Reference `fouri:130:10' on page 576 undefined on input line 270
2.


LaTeX Warning: Reference `fouri:130:10' on page 576 undefined on input line 271
7.


LaTeX Warning: Reference `fouri:130:25' on page 576 undefined on input line 271
8.


LaTeX Warning: Reference `fours:095' on page 576 undefined on input line 2723.


LaTeX Warning: Reference `fours:095:33' on page 576 undefined on input line 272
3.


LaTeX Warning: Reference `fouri' on page 576 undefined on input line 2747.


LaTeX Warning: Reference `prob' on page 576 undefined on input line 2750.


LaTeX Warning: Reference `fouri:110:tbl20' on page 576 undefined on input line 
2761.


LaTeX Warning: Reference `fouri:110:tbl20' on page 576 undefined on input line 
2761.



LaTeX Warning: Reference `fouri:110' on page 577 undefined on input line 2769.


LaTeX Warning: Citation `Hsu:sig' on page 577 undefined on input line 2771.


LaTeX Warning: Reference `fouri:110.40' on page 577 undefined on input line 278
1.


LaTeX Warning: Reference `fouri:110:40a' on page 577 undefined on input line 27
83.


LaTeX Warning: Reference `fouri:110:40' on page 577 undefined on input line 278
3.


LaTeX Warning: Reference `fouri:110:tbl40' on page 577 undefined on input line 
2791.


LaTeX Warning: Reference `fouri:110:tbl40' on page 577 undefined on input line 
2796.


LaTeX Warning: Reference `fouri:120:tbl20' on page 577 undefined on input line 
2809.


LaTeX Warning: Reference `fouri:125:10' on page 577 undefined on input line 281
8.

)

(./lapl.tex
Chapter 19.

LaTeX Warning: Reference `fouri:110.40' on page 579 undefined on input line 30.



LaTeX Warning: Reference `fouri:110:50' on page 579 undefined on input line 30.



LaTeX Warning: Reference `fouri:convolbal' on page 579 undefined on input line 
43.


LaTeX Warning: Reference `fouri:convolunbal' on page 579 undefined on input lin
e 44.


LaTeX Warning: Reference `fouri:110:51' on page 579 undefined on input line 52.




LaTeX Warning: Citation `Webster1913' on page 580 undefined on input line 86.


LaTeX Warning: Reference `fours:000:fig20' on page 580 undefined on input line 
89.


LaTeX Warning: Citation `JamesPeterson-lecture' on page 580 undefined on input 
line 99.


LaTeX Warning: Reference `fouri:convolunbal' on page 580 undefined on input lin
e 113.


LaTeX Warning: Reference `integ:670:sift' on page 580 undefined on input line 1
13.


LaTeX Warning: Reference `lapl:140:fig10' on page 580 undefined on input line 1
23.

[79]

LaTeX Warning: Reference `lapl:140:20' on page 580 undefined on input line 214.




LaTeX Warning: Reference `integ:670' on page 581 undefined on input line 221.


LaTeX Warning: Reference `lapl:140:20' on page 581 undefined on input line 222.



LaTeX Warning: Reference `lapl:140:fig10' on page 581 undefined on input line 2
22.


LaTeX Warning: Reference `fouri:byu2' on page 581 undefined on input line 255.


LaTeX Warning: Reference `fours:100:15' on page 581 undefined on input line 256
.


LaTeX Warning: Reference `fours:080:08' on page 581 undefined on input line 261
.


LaTeX Warning: Reference `lapl:140:22' on page 581 undefined on input line 264.



LaTeX Warning: Reference `fouri:convolunbal' on page 581 undefined on input lin
e 273.


LaTeX Warning: Reference `integ:670:sift' on page 581 undefined on input line 2
73.


LaTeX Warning: Reference `lapl:140:23' on page 581 undefined on input line 280.



LaTeX Warning: Reference `lapl:140:22' on page 581 undefined on input line 282.



LaTeX Warning: Reference `fours:100:15' on page 581 undefined on input line 284
.


LaTeX Warning: Citation `GAWalls' on page 581 undefined on input line 286.



LaTeX Warning: Reference `fours:095' on page 582 undefined on input line 313.


LaTeX Warning: Reference `fouri:110:tbl20' on page 582 undefined on input line 
314.


LaTeX Warning: Reference `fouri:110:tbl41' on page 582 undefined on input line 
315.


LaTeX Warning: Reference `fouri:120:tbl20' on page 582 undefined on input line 
316.


LaTeX Warning: Reference `fouri:110:33' on page 582 undefined on input line 317
.


Overfull \hbox (2.7074pt too wide) in paragraph at lines 312--321
\OT1/cmr/m/n/10.95 bles [] and []. Find-ing in Ta-ble [] the trans-form pair $^
^E(\OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 ) [] [](\OML/cmm/m/it/10.95 v=\OT1/c
mr/m/n/10.95 2)\OML/cmm/m/it/10.95 =[]$\OT1/cmr/m/n/10.95 ,

LaTeX Warning: Reference `lapl:140:23' on page 582 undefined on input line 365.



LaTeX Warning: Reference `lapl:140:23t' on page 582 undefined on input line 371
.



LaTeX Warning: Reference `lapl:140:22' on page 583 undefined on input line 436.



LaTeX Warning: Reference `fouri:100.90' on page 583 undefined on input line 445
.


LaTeX Warning: Reference `lapl:123:fig20' on page 583 undefined on input line 4
61.

[80]

LaTeX Warning: Reference `fouri:byu' on page 584 undefined on input line 556.


LaTeX Warning: Reference `lapl:123:fig20' on page 584 undefined on input line 5
73.


LaTeX Warning: Reference `lapl:123:fig30' on page 584 undefined on input line 5
74.

[81]

LaTeX Warning: Reference `lapl:123:25' on page 585 undefined on input line 623.



LaTeX Warning: Reference `lapl:123:25' on page 585 undefined on input line 624.



LaTeX Warning: Reference `lapl:123.20' on page 585 undefined on input line 644.



LaTeX Warning: Reference `lapl:123:26' on page 585 undefined on input line 645.



LaTeX Warning: Reference `lapl:123.20' on page 585 undefined on input line 647.



LaTeX Warning: Reference `lapl:123:25' on page 585 undefined on input line 656.



LaTeX Warning: Reference `lapl:123:33' on page 585 undefined on input line 662.



Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `cexp:230' on page 586 undefined on input line 682.


LaTeX Warning: Reference `inttx:260' on page 586 undefined on input line 683.


LaTeX Warning: Reference `inttx:460' on page 586 undefined on input line 683.


LaTeX Warning: Reference `lapl:123.60' on page 586 undefined on input line 695.



LaTeX Warning: Reference `lapl:123.20' on page 586 undefined on input line 707.



LaTeX Warning: Reference `lapl:123:fig20' on page 586 undefined on input line 7
07.


LaTeX Warning: Reference `lapl:123:fig40' on page 586 undefined on input line 7
11.

[82]
Underfull \vbox (badness 3872) has occurred while \output is active

LaTeX Warning: Reference `fouri:120.30' on page 587 undefined on input line 832
.


LaTeX Warning: Reference `fouri:120:22' on page 587 undefined on input line 833
.


LaTeX Warning: Reference `fouri:110:22' on page 587 undefined on input line 836
.


LaTeX Warning: Reference `lapl:123:fig50' on page 587 undefined on input line 8
43.

[83]

LaTeX Warning: Reference `lapl:123.40' on page 587 undefined on input line 898.



LaTeX Warning: Reference `lapl:123.50' on page 587 undefined on input line 898.



LaTeX Warning: Reference `fouri' on page 587 undefined on input line 900.


LaTeX Warning: Reference `lapl' on page 587 undefined on input line 900.


LaTeX Warning: Reference `lapl:123.40' on page 587 undefined on input line 902.



LaTeX Warning: Reference `lapl:123.50' on page 587 undefined on input line 902.



LaTeX Warning: Reference `lapl:123.30' on page 587 undefined on input line 903.



LaTeX Warning: Reference `lapl:123:fig30' on page 587 undefined on input line 9
05.


LaTeX Warning: Reference `lapl:123.40' on page 587 undefined on input line 908.



LaTeX Warning: Reference `lapl:123.50' on page 587 undefined on input line 909.




LaTeX Warning: Reference `lapl:123:fig55' on page 588 undefined on input line 9
31.

[84]

LaTeX Warning: Reference `fouri:100.90' on page 588 undefined on input line 995
.


LaTeX Warning: Reference `fours:095' on page 588 undefined on input line 996.


LaTeX Warning: Reference `fouri:100.90' on page 588 undefined on input line 997
.


LaTeX Warning: Reference `lapl:123:fig30' on page 588 undefined on input line 1
004.


LaTeX Warning: Reference `lapl:123:fig50' on page 588 undefined on input line 1
005.


LaTeX Warning: Reference `lapl:123:fig55' on page 588 undefined on input line 1
005.


LaTeX Warning: Reference `lapl:123:tbl90' on page 588 undefined on input line 1
021.



LaTeX Warning: Reference `fours:095' on page 589 undefined on input line 1097.


LaTeX Warning: Reference `fouri:100:fig' on page 589 undefined on input line 12
57.


LaTeX Warning: Reference `fouri:100:fig' on page 589 undefined on input line 12
59.


LaTeX Warning: Reference `fours:095:fig1' on page 589 undefined on input line 1
260.


LaTeX Warning: Reference `fours:095:fig1' on page 589 undefined on input line 1
260.


LaTeX Warning: Reference `fouri:110' on page 589 undefined on input line 1263.


LaTeX Warning: Reference `fouri:120' on page 589 undefined on input line 1263.



LaTeX Warning: Citation `Hsu:sig' on page 590 undefined on input line 1277.


LaTeX Warning: Reference `fouri:laplace' on page 590 undefined on input line 12
87.


LaTeX Warning: Citation `Hsu:sig' on page 590 undefined on input line 1291.


LaTeX Warning: Citation `Phillips/Parr' on page 590 undefined on input line 129
1.


LaTeX Warning: Citation `JJH' on page 590 undefined on input line 1291.


LaTeX Warning: Reference `fouri:laplace' on page 590 undefined on input line 13
14.


LaTeX Warning: Reference `fouri:laplace-pairs' on page 590 undefined on input l
ine 1318.


LaTeX Warning: Reference `fouri:laplace-properties' on page 590 undefined on in
put line 1320.


LaTeX Warning: Reference `inttx:230' on page 590 undefined on input line 1334.



LaTeX Warning: Reference `fouri:laplace' on page 591 undefined on input line 13
47.


LaTeX Warning: Reference `fouri:110.40' on page 591 undefined on input line 135
6.


LaTeX Warning: Reference `fouri:110.40' on page 591 undefined on input line 136
8.


LaTeX Warning: Reference `integ:670:11' on page 591 undefined on input line 138
1.


LaTeX Warning: Reference `cexp:tbl-prop' on page 591 undefined on input line 14
39.


LaTeX Warning: Reference `fouri:laplace' on page 591 undefined on input line 14
42.


LaTeX Warning: Reference `fouri:laplace-pairs' on page 591 undefined on input l
ine 1444.


LaTeX Warning: Reference `fouri:laplace-properties' on page 591 undefined on in
put line 1453.


LaTeX Warning: Reference `fouri:laplace-pairs' on page 591 undefined on input l
ine 1454.


LaTeX Warning: Reference `fouri:byu2' on page 591 undefined on input line 1477.



LaTeX Warning: Citation `Phillips/Parr' on page 591 undefined on input line 148
5.


LaTeX Warning: Reference `fouri:eqn' on page 591 undefined on input line 1485.


Underfull \hbox (badness 2173) in paragraph at lines 1485--1485
[][]\OT1/cmr/m/n/9 Actually, for-mally, Laplace does sup-port an in-verse trans
-for-ma-tion for-mula,



LaTeX Warning: Reference `fouri:laplace-properties' on page 593 undefined on in
put line 1489.


LaTeX Warning: Reference `fouri:110:tbl20' on page 593 undefined on input line 
1492.


Underfull \hbox (badness 1077) in paragraph at lines 1488--1494
[]\OT1/cmr/m/n/10.95 Laplace ex-cels Fourier how-ever in its prop-erty of Ta-bl
e [] that

LaTeX Warning: Citation `JJH' on page 593 undefined on input line 1499.


LaTeX Warning: Citation `Phillips/Parr' on page 593 undefined on input line 151
6.


Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `fouri:laplace-properties' on page 594 undefined on in
put line 1522.


LaTeX Warning: Reference `fouri:laplace-pairs' on page 594 undefined on input l
ine 1523.



LaTeX Warning: Reference `inttx:260' on page 595 undefined on input line 1566.


LaTeX Warning: Reference `fouri:laplace-pairs' on page 595 undefined on input l
ine 1573.


LaTeX Warning: Reference `lapl:250' on page 595 undefined on input line 1592.



LaTeX Warning: Reference `fouri:laplace-properties' on page 596 undefined on in
put line 1629.


LaTeX Warning: Reference `lapl:260:10' on page 596 undefined on input line 1630
.


LaTeX Warning: Reference `lapl:260:10' on page 596 undefined on input line 1642
.


LaTeX Warning: Citation `Phillips/Parr' on page 596 undefined on input line 164
3.



LaTeX Warning: Reference `fouri:byu2' on page 597 undefined on input line 1710.



LaTeX Warning: Reference `fouri:spatial' on page 597 undefined on input line 17
20.


LaTeX Warning: Citation `Couch' on page 597 undefined on input line 1757.


LaTeX Warning: Reference `fouri:110' on page 597 undefined on input line 1760.


Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Reference `fouri:byu2' on page 598 undefined on input line 1771.



LaTeX Warning: Reference `lapl:360.10' on page 598 undefined on input line 1771
.


LaTeX Warning: Reference `lapl:360.20' on page 598 undefined on input line 1772
.


LaTeX Warning: Reference `fouri:byu2' on page 598 undefined on input line 1774.



LaTeX Warning: Reference `fouri:120:tbl20' on page 598 undefined on input line 
1778.


LaTeX Warning: Reference `lapl:360.10' on page 598 undefined on input line 1781
.


LaTeX Warning: Reference `lapl:360.20' on page 598 undefined on input line 1786
.


LaTeX Warning: Reference `lapl:360.30' on page 598 undefined on input line 1786
.


LaTeX Warning: Reference `fouri:byu2' on page 598 undefined on input line 1787.



LaTeX Warning: Reference `fouri:110:tbl41' on page 598 undefined on input line 
1804.


Underfull \vbox (badness 4660) has occurred while \output is active

LaTeX Warning: Reference `lapl:360:tbl10' on page 599 undefined on input line 1
845.


LaTeX Warning: Reference `lapl:360:tbl20' on page 599 undefined on input line 1
899.


LaTeX Warning: Reference `lapl:360:tbl10' on page 599 undefined on input line 1
955.


LaTeX Warning: Reference `fouri:125' on page 599 undefined on input line 1956.


LaTeX Warning: Reference `lapl:360:tbl20' on page 599 undefined on input line 1
957.


LaTeX Warning: Reference `integ:670:23' on page 599 undefined on input line 195
8.


LaTeX Warning: Reference `cexp' on page 599 undefined on input line 1965.


LaTeX Warning: Reference `vcalc' on page 599 undefined on input line 1965.

)


(./prob.tex
Chapter 20.

LaTeX Warning: Reference `prob:070' on page 603 undefined on input line 22.


LaTeX Warning: Reference `prob:200' on page 603 undefined on input line 22.


LaTeX Warning: Citation `CDC' on page 603 undefined on input line 42.



LaTeX Warning: Reference `drvtv:220' on page 604 undefined on input line 94.



LaTeX Warning: Citation `Hamming' on page 605 undefined on input line 126.


LaTeX Warning: Citation `Walpole/Myers' on page 605 undefined on input line 175
.


LaTeX Warning: Citation `Alder/Roessler' on page 605 undefined on input line 17
5.


LaTeX Warning: Citation `Lindgren' on page 605 undefined on input line 175.


LaTeX Warning: Citation `Rosenkrantz' on page 605 undefined on input line 175.



LaTeX Warning: Reference `drvtv:NR' on page 606 undefined on input line 206.


LaTeX Warning: Reference `fouri:110:tbl41' on page 606 undefined on input line 
227.



LaTeX Warning: Reference `prob:050:10' on page 607 undefined on input line 268.



LaTeX Warning: Reference `prob:050:40' on page 607 undefined on input line 269.



LaTeX Warning: Reference `prob:stat' on page 607 undefined on input line 294.


LaTeX Warning: Reference `prob:stat' on page 607 undefined on input line 310.


LaTeX Warning: Reference `alggeo:225.3' on page 607 undefined on input line 315
.


LaTeX Warning: Reference `taylor:320' on page 607 undefined on input line 316.


LaTeX Warning: Reference `prob:stat' on page 607 undefined on input line 318.


LaTeX Warning: Reference `mtxinv:320' on page 607 undefined on input line 319.


LaTeX Warning: Reference `prob:stat' on page 607 undefined on input line 320.



LaTeX Warning: Reference `prob:050:40' on page 608 undefined on input line 330.



LaTeX Warning: Reference `prob:stat' on page 608 undefined on input line 331.


LaTeX Warning: Reference `prob:050:40' on page 608 undefined on input line 365.



LaTeX Warning: Reference `prob:stat' on page 608 undefined on input line 366.


LaTeX Warning: Reference `prob:070:20' on page 608 undefined on input line 376.




LaTeX Warning: Reference `prob:stat' on page 609 undefined on input line 410.


LaTeX Warning: Reference `prob:050:10' on page 609 undefined on input line 410.



LaTeX Warning: Reference `prob:stat' on page 609 undefined on input line 426.


LaTeX Warning: Reference `prob:050:10' on page 609 undefined on input line 426.



LaTeX Warning: Reference `prob:070:20' on page 609 undefined on input line 432.



LaTeX Warning: Reference `prob:070:30' on page 609 undefined on input line 433.




LaTeX Warning: Reference `alggeo:250:30' on page 610 undefined on input line 45
9.


LaTeX Warning: Reference `prob:080:10' on page 610 undefined on input line 494.



LaTeX Warning: Reference `prob:080:11' on page 610 undefined on input line 494.



LaTeX Warning: Reference `prob:080:11' on page 610 undefined on input line 499.



LaTeX Warning: Reference `prob:stat' on page 610 undefined on input line 499.



LaTeX Warning: Reference `prob:080:50' on page 611 undefined on input line 512.



LaTeX Warning: Reference `prob:074' on page 611 undefined on input line 525.


LaTeX Warning: Reference `prob:080' on page 611 undefined on input line 525.


LaTeX Warning: Reference `prob:080:50' on page 611 undefined on input line 541.



LaTeX Warning: Reference `prob:070:30' on page 611 undefined on input line 549.



LaTeX Warning: Reference `fours:095' on page 611 undefined on input line 554.


LaTeX Warning: Reference `fouri:130' on page 611 undefined on input line 554.



LaTeX Warning: Reference `prob:050:10' on page 612 undefined on input line 568.



LaTeX Warning: Reference `fouri:130:60' on page 612 undefined on input line 575
.


LaTeX Warning: Reference `prob:050:10' on page 612 undefined on input line 579.



LaTeX Warning: Reference `inttx:230' on page 612 undefined on input line 605.


LaTeX Warning: Reference `fouri:130:60' on page 612 undefined on input line 608
.


LaTeX Warning: Reference `prob:050:40' on page 612 undefined on input line 616.




LaTeX Warning: Reference `fouri' on page 613 undefined on input line 627.


LaTeX Warning: Reference `fouri:110:tbl20' on page 613 undefined on input line 
628.


LaTeX Warning: Reference `fouri:110:tbl41' on page 613 undefined on input line 
628.


LaTeX Warning: Reference `fouri:120:tbl25' on page 613 undefined on input line 
629.


LaTeX Warning: Reference `prob:normdist' on page 613 undefined on input line 62
9.


LaTeX Warning: Reference `prob:100:20' on page 613 undefined on input line 664.



LaTeX Warning: Reference `fouri' on page 613 undefined on input line 678.


LaTeX Warning: Reference `prob:normdist-fig' on page 613 undefined on input lin
e 689.


LaTeX Warning: Reference `prob:CDF' on page 613 undefined on input line 691.

[85]

LaTeX Warning: Reference `inttx:450' on page 614 undefined on input line 774.


LaTeX Warning: Reference `prob:750' on page 614 undefined on input line 790.


LaTeX Warning: Reference `prob:300' on page 614 undefined on input line 796.


LaTeX Warning: Reference `prob:normdist' on page 614 undefined on input line 80
4.


LaTeX Warning: Reference `prob:normdist' on page 614 undefined on input line 81
0.


LaTeX Warning: Reference `prob:100.10' on page 614 undefined on input line 814.




LaTeX Warning: Reference `drvtv:220' on page 615 undefined on input line 851.


LaTeX Warning: Reference `prob:normdist' on page 615 undefined on input line 87
6.



LaTeX Warning: Reference `prob:200.20' on page 616 undefined on input line 921.



LaTeX Warning: Reference `prob:stat' on page 616 undefined on input line 922.


LaTeX Warning: Reference `prob:200:mean' on page 616 undefined on input line 92
4.


LaTeX Warning: Reference `prob:200.30' on page 616 undefined on input line 928.



LaTeX Warning: Reference `prob:200:mean' on page 616 undefined on input line 93
5.



LaTeX Warning: Reference `prob:200.30' on page 617 undefined on input line 967.



LaTeX Warning: Reference `prob:stat' on page 617 undefined on input line 980.


LaTeX Warning: Reference `prob:070:30' on page 617 undefined on input line 986.




LaTeX Warning: Reference `prob:200.30' on page 618 undefined on input line 1004
.


LaTeX Warning: Reference `prob:200.25' on page 618 undefined on input line 1010
.


LaTeX Warning: Reference `prob:stat' on page 618 undefined on input line 1019.


LaTeX Warning: Reference `prob:200.25' on page 618 undefined on input line 1055
.



LaTeX Warning: Reference `prob:200.25' on page 619 undefined on input line 1063
.


LaTeX Warning: Reference `prob:200:stdev' on page 619 undefined on input line 1
091.


LaTeX Warning: Reference `prob:200:mean' on page 619 undefined on input line 11
07.


LaTeX Warning: Reference `prob:200:stdev' on page 619 undefined on input line 1
107.


LaTeX Warning: Citation `Walpole/Myers' on page 619 undefined on input line 113
2.


LaTeX Warning: Citation `Alder/Roessler' on page 619 undefined on input line 11
32.



LaTeX Warning: Reference `mtxinv:320:fig1' on page 620 undefined on input line 
1148.


LaTeX Warning: Reference `prob:070:60' on page 620 undefined on input line 1152
.


LaTeX Warning: Reference `prob:070:60' on page 620 undefined on input line 1172
.


LaTeX Warning: Reference `prob:200.30' on page 620 undefined on input line 1182
.



LaTeX Warning: Reference `prob:050:10' on page 621 undefined on input line 1186
.


LaTeX Warning: Citation `Bulmer' on page 621 undefined on input line 1195.


LaTeX Warning: Citation `Walpole/Myers' on page 621 undefined on input line 119
5.


LaTeX Warning: Citation `Alder/Roessler' on page 621 undefined on input line 11
95.


LaTeX Warning: Citation `Lindgren' on page 621 undefined on input line 1195.


LaTeX Warning: Citation `Rosenkrantz' on page 621 undefined on input line 1195.



LaTeX Warning: Reference `prob:200:mean' on page 621 undefined on input line 11
99.


LaTeX Warning: Reference `prob:200:stdev' on page 621 undefined on input line 1
199.


LaTeX Warning: Reference `prob:200:20' on page 621 undefined on input line 1201
.


LaTeX Warning: Citation `Bulmer' on page 621 undefined on input line 1217.


LaTeX Warning: Reference `conclu:athwart' on page 621 undefined on input line 1
225.


LaTeX Warning: Reference `conclu:klein' on page 621 undefined on input line 122
5.


LaTeX Warning: Citation `Feynman' on page 621 undefined on input line 1248.



LaTeX Warning: Reference `alggeo:225.3' on page 622 undefined on input line 127
6.


LaTeX Warning: Reference `taylor:320' on page 622 undefined on input line 1277.



LaTeX Warning: Reference `mtxinv:320' on page 622 undefined on input line 1280.



LaTeX Warning: Reference `prob:070' on page 622 undefined on input line 1285.



LaTeX Warning: Reference `integ:670:fig-d' on page 623 undefined on input line 
1329.


LaTeX Warning: Reference `drvtv:220' on page 623 undefined on input line 1332.


LaTeX Warning: Reference `prob:070:40' on page 623 undefined on input line 1333
.


LaTeX Warning: Reference `prob:stat' on page 623 undefined on input line 1348.


LaTeX Warning: Reference `prob:300:55' on page 623 undefined on input line 1363
.


LaTeX Warning: Reference `prob:070:40' on page 623 undefined on input line 1365
.


LaTeX Warning: Reference `prob:normdist-fig' on page 623 undefined on input lin
e 1374.


LaTeX Warning: Reference `prob:100' on page 623 undefined on input line 1380.


LaTeX Warning: Reference `prob:100.60' on page 623 undefined on input line 1394
.



LaTeX Warning: Reference `prob:normdist-fig' on page 624 undefined on input lin
e 1412.


LaTeX Warning: Reference `fours:095:fig1' on page 624 undefined on input line 1
431.


LaTeX Warning: Reference `prob:100' on page 624 undefined on input line 1434.


LaTeX Warning: Reference `prob:400.30' on page 624 undefined on input line 1435
.


LaTeX Warning: Reference `prob:410' on page 624 undefined on input line 1436.



LaTeX Warning: Reference `integ:670:10' on page 625 undefined on input line 146
3.


LaTeX Warning: Reference `inttx:240' on page 625 undefined on input line 1484.


LaTeX Warning: Reference `inttx:470:tbl' on page 625 undefined on input line 14
84.


LaTeX Warning: Reference `prob:CDF' on page 625 undefined on input line 1489.


LaTeX Warning: Reference `prob:quantile' on page 625 undefined on input line 14
90.


LaTeX Warning: Citation `Bulmer' on page 625 undefined on input line 1507.



LaTeX Warning: Reference `prob:400:p25' on page 626 undefined on input line 153
9.


LaTeX Warning: Reference `prob:400:p25' on page 626 undefined on input line 154
1.


LaTeX Warning: Reference `prob:050:10' on page 626 undefined on input line 1551
.


LaTeX Warning: Reference `prob:400.20' on page 626 undefined on input line 1553
.



LaTeX Warning: Reference `prob:050:10' on page 627 undefined on input line 1598
.


LaTeX Warning: Reference `fouri:130' on page 627 undefined on input line 1602.


LaTeX Warning: Reference `prob:CDF' on page 627 undefined on input line 1603.


LaTeX Warning: Reference `prob:quantile' on page 627 undefined on input line 16
03.


LaTeX Warning: Citation `Papoulis' on page 627 undefined on input line 1604.



LaTeX Warning: Reference `prob:stat' on page 628 undefined on input line 1622.


LaTeX Warning: Reference `prob:100:10' on page 628 undefined on input line 1634
.


Underfull \vbox (badness 10000) has occurred while \output is active

LaTeX Warning: Citation `Feynman' on page 629 undefined on input line 1683.


LaTeX Warning: Reference `prob:400:28' on page 629 undefined on input line 1762
.


LaTeX Warning: Reference `prob:400:34' on page 629 undefined on input line 1762
.



LaTeX Warning: Reference `prob:400.30' on page 630 undefined on input line 1768
.


LaTeX Warning: Reference `prob:400.30' on page 630 undefined on input line 1773
.


LaTeX Warning: Reference `prob:410:20' on page 630 undefined on input line 1783
.


LaTeX Warning: Reference `prob:410:20' on page 630 undefined on input line 1801
.


LaTeX Warning: Reference `prob:410:25' on page 630 undefined on input line 1801
.


LaTeX Warning: Citation `Box/Muller' on page 630 undefined on input line 1803.


LaTeX Warning: Citation `EWW' on page 630 undefined on input line 1803.


LaTeX Warning: Reference `prob:100:40' on page 630 undefined on input line 1815
.


LaTeX Warning: Citation `libmpfi' on page 630 undefined on input line 1837.



LaTeX Warning: Citation `Lebedev' on page 631 undefined on input line 1882.



LaTeX Warning: Citation `Andrews' on page 632 undefined on input line 1952.


LaTeX Warning: Citation `Andrews' on page 632 undefined on input line 1969.



LaTeX Warning: Reference `prob:400:30' on page 633 undefined on input line 2007
.


LaTeX Warning: Reference `prob:400:32' on page 633 undefined on input line 2007
.


LaTeX Warning: Reference `prob:750:20' on page 633 undefined on input line 2014
.


LaTeX Warning: Reference `prob:750:20' on page 633 undefined on input line 2017
.


LaTeX Warning: Reference `prob:750' on page 633 undefined on input line 2029.


LaTeX Warning: Reference `prob:750' on page 633 undefined on input line 2037.



LaTeX Warning: Reference `prob:750' on page 634 undefined on input line 2044.


LaTeX Warning: Reference `prob:750fn1' on page 634 undefined on input line 2046
.


LaTeX Warning: Reference `taylor:317' on page 634 undefined on input line 2050.



LaTeX Warning: Reference `prob:750:20' on page 634 undefined on input line 2061
.


LaTeX Warning: Reference `prob:750:25' on page 634 undefined on input line 2062
.


LaTeX Warning: Reference `prob:quantile' on page 634 undefined on input line 20
78.


LaTeX Warning: Reference `drvtv:NR' on page 634 undefined on input line 2081.


LaTeX Warning: Reference `prob:775:10' on page 634 undefined on input line 2091
.


LaTeX Warning: Reference `prob:100:40' on page 634 undefined on input line 2099
.


LaTeX Warning: Reference `prob:750:20' on page 634 undefined on input line 2100
.


LaTeX Warning: Reference `prob:normdist' on page 634 undefined on input line 21
01.


LaTeX Warning: Reference `prob:normdist-fig' on page 634 undefined on input lin
e 2102.


LaTeX Warning: Reference `prob:normdist-fig' on page 634 undefined on input lin
e 2103.


LaTeX Warning: Reference `drvtv:270:fig1' on page 634 undefined on input line 2
105.


LaTeX Warning: Reference `drvtv:270:fig1' on page 634 undefined on input line 2
105.



LaTeX Warning: Reference `prob:750:20' on page 635 undefined on input line 2119
.


LaTeX Warning: Reference `prob:775:10' on page 635 undefined on input line 2124
.


LaTeX Warning: Reference `prob:775:10' on page 635 undefined on input line 2158
.


LaTeX Warning: Reference `prob:normdist' on page 635 undefined on input line 21
62.


LaTeX Warning: Reference `prob:100:40' on page 635 undefined on input line 2162
.


LaTeX Warning: Reference `prob:750:20' on page 635 undefined on input line 2162
.


LaTeX Warning: Reference `prob:775:10' on page 635 undefined on input line 2163
.


LaTeX Warning: Reference `taylor:316.80' on page 635 undefined on input line 21
66.


)
(./gamma.tex
Chapter 21.

LaTeX Warning: Citation `Lebedev' on page 637 undefined on input line 25.


LaTeX Warning: Citation `Andrews' on page 637 undefined on input line 41.


LaTeX Warning: Citation `A-S' on page 637 undefined on input line 43.



LaTeX Warning: Citation `G-R' on page 638 undefined on input line 88.


Underfull \hbox (badness 1132) in paragraph at lines 68--89
\OT1/cmr/m/n/10.95 func-tions; par-a-bolic cylin-der func-tions; Meijer's and M
ac-

LaTeX Warning: Citation `WWBell' on page 638 undefined on input line 98.


Underfull \hbox (badness 10000) in paragraph at lines 94--99
\OT1/cmr/m/n/10.95 equa-tions of the form $\OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10
.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 d[]y=dx[] \O
T1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 Q\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95
 x\OT1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 dy=dx \OT1/cmr/m/n/10.95 +

LaTeX Warning: Citation `EWW-web' on page 638 undefined on input line 112.



LaTeX Warning: Reference `fours:160' on page 639 undefined on input line 127.


LaTeX Warning: Reference `prob:100.40' on page 639 undefined on input line 128.



LaTeX Warning: Reference `prob:750' on page 639 undefined on input line 128.


LaTeX Warning: Reference `prob:750' on page 639 undefined on input line 129.


LaTeX Warning: Reference `prob:760' on page 639 undefined on input line 129.


LaTeX Warning: Reference `gamma:960' on page 639 undefined on input line 137.



LaTeX Warning: Citation `Brown-conversation' on page 640 undefined on input lin
e 205.


LaTeX Warning: Reference `lapl:260' on page 640 undefined on input line 205.


LaTeX Warning: Citation `Lebedev' on page 640 undefined on input line 219.


LaTeX Warning: Citation `Andrews' on page 640 undefined on input line 219.


LaTeX Warning: Citation `A-S' on page 640 undefined on input line 219.


LaTeX Warning: Citation `Sebah-Gourdon' on page 640 undefined on input line 219
.


LaTeX Warning: Reference `gamma:def-int' on page 640 undefined on input line 23
6.


LaTeX Warning: Reference `inttx:parts' on page 640 undefined on input line 237.



LaTeX Warning: Citation `Lebedev' on page 640 undefined on input line 238.



LaTeX Warning: Citation `Lebedev' on page 641 undefined on input line 257.


LaTeX Warning: Citation `Andrews' on page 641 undefined on input line 257.


LaTeX Warning: Citation `A-S' on page 641 undefined on input line 257.


LaTeX Warning: Reference `gamma:def-int' on page 641 undefined on input line 26
1.


LaTeX Warning: Citation `Andrews' on page 641 undefined on input line 264.


LaTeX Warning: Reference `gamma:110:00' on page 641 undefined on input line 268
.


LaTeX Warning: Citation `Andrews' on page 641 undefined on input line 272.


LaTeX Warning: Citation `A-S' on page 641 undefined on input line 272.


LaTeX Warning: Reference `gamma:110:00' on page 641 undefined on input line 277
.


LaTeX Warning: Reference `gamma:110:00' on page 641 undefined on input line 279
.


LaTeX Warning: Reference `gamma:110:05' on page 641 undefined on input line 279
.


LaTeX Warning: Reference `gamma:230' on page 641 undefined on input line 281.


LaTeX Warning: Citation `Andrews' on page 641 undefined on input line 297.


LaTeX Warning: Reference `fouri:130' on page 641 undefined on input line 298.


LaTeX Warning: Reference `gamma:def-int' on page 641 undefined on input line 29
9.



LaTeX Warning: Citation `Lebedev' on page 642 undefined on input line 334.


LaTeX Warning: Citation `Andrews' on page 642 undefined on input line 334.


LaTeX Warning: Citation `A-S' on page 642 undefined on input line 334.


LaTeX Warning: Reference `gamma:def-int' on page 642 undefined on input line 33
5.


LaTeX Warning: Reference `gamma:110:00' on page 642 undefined on input line 341
.


LaTeX Warning: Reference `gamma:half' on page 642 undefined on input line 341.


LaTeX Warning: Reference `gamma:def-int' on page 642 undefined on input line 35
4.


LaTeX Warning: Reference `taylor:315:tbl' on page 642 undefined on input line 3
55.


LaTeX Warning: Reference `gamma:def-int' on page 642 undefined on input line 36
4.



LaTeX Warning: Reference `gamma:200:35' on page 643 undefined on input line 398
.


LaTeX Warning: Reference `gamma:200:30' on page 643 undefined on input line 402
.


LaTeX Warning: Reference `gamma:200:30' on page 643 undefined on input line 405
.



LaTeX Warning: Reference `gamma:200:40' on page 644 undefined on input line 464
.


LaTeX Warning: Reference `gamma:200:40' on page 644 undefined on input line 468
.


LaTeX Warning: Reference `gamma:200:40' on page 644 undefined on input line 470
.


LaTeX Warning: Reference `gamma:200:30' on page 644 undefined on input line 470
.


LaTeX Warning: Reference `gamma:200:30' on page 644 undefined on input line 477
.


LaTeX Warning: Reference `gamma:200:35' on page 644 undefined on input line 494
.



LaTeX Warning: Reference `gamma:200:46' on page 645 undefined on input line 515
.


LaTeX Warning: Reference `gamma:200:40' on page 645 undefined on input line 515
.


LaTeX Warning: Reference `gamma:200:30' on page 645 undefined on input line 534
.


LaTeX Warning: Reference `gamma:200:25' on page 645 undefined on input line 535
.


LaTeX Warning: Reference `gamma:200:35' on page 645 undefined on input line 541
.


LaTeX Warning: Reference `gamma:200:45' on page 645 undefined on input line 542
.


LaTeX Warning: Reference `gamma:200:46' on page 645 undefined on input line 542
.


LaTeX Warning: Reference `gamma:200:25' on page 645 undefined on input line 543
.


LaTeX Warning: Citation `A-S' on page 645 undefined on input line 547.


LaTeX Warning: Reference `gamma:plot' on page 645 undefined on input line 555.


LaTeX Warning: Reference `gamma:200:50' on page 645 undefined on input line 556
.


LaTeX Warning: Reference `gamma:110:00' on page 645 undefined on input line 556
.


LaTeX Warning: Citation `A-S' on page 645 undefined on input line 559.

[86]

LaTeX Warning: Citation `A-S' on page 645 undefined on input line 682.


LaTeX Warning: Citation `Lebedev' on page 645 undefined on input line 682.


LaTeX Warning: Citation `Andrews' on page 645 undefined on input line 682.


LaTeX Warning: Reference `gamma:def-int' on page 645 undefined on input line 68
7.


LaTeX Warning: Citation `Titchmarsh' on page 645 undefined on input line 689.


LaTeX Warning: Citation `Lebedev' on page 645 undefined on input line 689.



LaTeX Warning: Reference `inttx:250:20' on page 646 undefined on input line 746
.


LaTeX Warning: Reference `trig:228:table' on page 646 undefined on input line 7
47.


LaTeX Warning: Reference `gamma:220:00' on page 646 undefined on input line 748
.


LaTeX Warning: Reference `gamma:110:00' on page 646 undefined on input line 750
.


LaTeX Warning: Reference `gamma:220:00' on page 646 undefined on input line 751
.


LaTeX Warning: Reference `gamma:def-int' on page 646 undefined on input line 77
3.


LaTeX Warning: Reference `gamma:110:00' on page 646 undefined on input line 774
.



LaTeX Warning: Reference `alggeo:250' on page 647 undefined on input line 785.


LaTeX Warning: Reference `taylor:350' on page 647 undefined on input line 787.



LaTeX Warning: Reference `gamma:plot' on page 648 undefined on input line 844.


LaTeX Warning: Reference `taylor:330' on page 648 undefined on input line 845.


LaTeX Warning: Reference `taylor:330' on page 648 undefined on input line 846.


LaTeX Warning: Reference `drvtv:240.40' on page 648 undefined on input line 864
.


LaTeX Warning: Citation `Lebedev' on page 648 undefined on input line 865.


LaTeX Warning: Reference `gamma:def-int' on page 648 undefined on input line 86
6.


LaTeX Warning: Reference `inttx:460:frullani' on page 648 undefined on input li
ne 878.


LaTeX Warning: Reference `inttx:460:frullani' on page 648 undefined on input li
ne 879.


Underfull \vbox (badness 1237) has occurred while \output is active

LaTeX Warning: Reference `gamma:digamma' on page 649 undefined on input line 92
3.


LaTeX Warning: Reference `gamma:digamma-int' on page 649 undefined on input lin
e 930.


LaTeX Warning: Reference `gamma:def-int' on page 649 undefined on input line 93
1.


LaTeX Warning: Reference `gamma:040' on page 649 undefined on input line 940.


LaTeX Warning: Citation `colofred' on page 649 undefined on input line 945.



LaTeX Warning: Reference `matrix' on page 650 undefined on input line 958.


LaTeX Warning: Reference `eigen' on page 650 undefined on input line 959.


LaTeX Warning: Reference `gamma:050:10' on page 650 undefined on input line 965
.


LaTeX Warning: Reference `matrix' on page 650 undefined on input line 979.

)
(./stub.tex

LaTeX Warning: Reference `gamma' on page 651 undefined on input line 44.

)
(./conclu.tex
Chapter 22.

LaTeX Warning: Citation `Frege:1879' on page 653 undefined on input line 55.



LaTeX Warning: Citation `Lotter' on page 654 undefined on input line 65.



LaTeX Warning: Citation `Feser' on page 655 undefined on input line 162.


LaTeX Warning: Citation `Feser:StTh' on page 655 undefined on input line 162.


LaTeX Warning: Citation `CatholicEncyc' on page 655 undefined on input line 170
.



LaTeX Warning: Reference `prob:200.90' on page 656 undefined on input line 203.








LaTeX Warning: Citation `Klein' on page 661 undefined on input line 450.

)



(./hex.tex
Appendix A.

LaTeX Warning: Citation `mathbios' on page 665 undefined on input line 54.



LaTeX Warning: Citation `Palais:2001' on page 666 undefined on input line 229.


LaTeX Warning: Citation `Bartholomew' on page 666 undefined on input line 229.


LaTeX Warning: Citation `Lindenberg' on page 666 undefined on input line 229.


LaTeX Warning: Reference `hex:240.1' on page 666 undefined on input line 232.




LaTeX Warning: Citation `Laplace-Ouvres' on page 668 undefined on input line 31
3.


LaTeX Warning: Reference `trig:260' on page 668 undefined on input line 313.


LaTeX Warning: Reference `gjrank:341.01' on page 668 undefined on input line 34
0.


LaTeX Warning: Reference `drvtv:pasc' on page 668 undefined on input line 342.


)
(./greek.tex
Appendix B.

LaTeX Warning: Reference `greek:288:greek' on page 671 undefined on input line 
9.



)
(./purec.tex
Appendix C.

LaTeX Warning: Reference `noth:220' on page 675 undefined on input line 13.


LaTeX Warning: Reference `matrix' on page 675 undefined on input line 14.


LaTeX Warning: Reference `eigen' on page 675 undefined on input line 15.


LaTeX Warning: Reference `intro:310' on page 675 undefined on input line 19.


LaTeX Warning: Reference `inttx' on page 675 undefined on input line 27.


LaTeX Warning: Reference `taylor:315' on page 675 undefined on input line 28.



LaTeX Warning: Citation `Hildebrand' on page 676 undefined on input line 62.


LaTeX Warning: Citation `Arnold:1997' on page 676 undefined on input line 62.


LaTeX Warning: Reference `purec:100:10' on page 676 undefined on input line 62.



LaTeX Warning: Reference `taylor:320' on page 676 undefined on input line 68.


LaTeX Warning: Citation `Arnold:1997' on page 676 undefined on input line 73.


LaTeX Warning: Reference `drvtv:240' on page 676 undefined on input line 88.


LaTeX Warning: Reference `purec:100:10' on page 676 undefined on input line 88.




LaTeX Warning: Reference `taylor:cauchy0' on page 677 undefined on input line 1
14.


LaTeX Warning: Citation `Arnold:1997' on page 677 undefined on input line 152.


LaTeX Warning: Citation `Hildebrand' on page 677 undefined on input line 154.


LaTeX Warning: Reference `purec:100:10' on page 677 undefined on input line 156
.


LaTeX Warning: Reference `alggeo:228:45' on page 677 undefined on input line 15
7.



LaTeX Warning: Reference `taylor:310:20' on page 678 undefined on input line 18
2.


LaTeX Warning: Reference `purec:100:40' on page 678 undefined on input line 187
.


LaTeX Warning: Reference `taylor' on page 678 undefined on input line 191.


LaTeX Warning: Reference `purec:100:40' on page 678 undefined on input line 194
.


LaTeX Warning: Reference `taylor:310:20' on page 678 undefined on input line 19
4.


LaTeX Warning: Reference `taylor:350:30' on page 678 undefined on input line 20
0.


LaTeX Warning: Reference `purec:100:40' on page 678 undefined on input line 203
.


LaTeX Warning: Reference `purec:100:40' on page 678 undefined on input line 214
.


LaTeX Warning: Reference `taylor:315:tbl' on page 678 undefined on input line 2
18.


)
(./hist.tex
Appendix D.

LaTeX Warning: Reference `alggeo:223' on page 681 undefined on input line 23.


LaTeX Warning: Reference `intro' on page 681 undefined on input line 23.


LaTeX Warning: Reference `trig:226:f1' on page 681 undefined on input line 47.



LaTeX Warning: Citation `Feynman' on page 682 undefined on input line 65.



LaTeX Warning: Reference `prob:100' on page 683 undefined on input line 117.



LaTeX Warning: Citation `Courant/Hilbert' on page 684 undefined on input line 2
31.


LaTeX Warning: Citation `Jeffreys/Jeffreys' on page 684 undefined on input line
 233.


LaTeX Warning: Citation `Arfken/Weber' on page 684 undefined on input line 234.



LaTeX Warning: Citation `EWW' on page 684 undefined on input line 256.



LaTeX Warning: Reference `intro' on page 685 undefined on input line 318.


LaTeX Warning: Citation `Debian' on page 685 undefined on input line 335.


LaTeX Warning: Reference `intro' on page 685 undefined on input line 339.


)
No file main-pics.bbl.

LaTeX Warning: There were undefined references.

 )
(see the transcript file for additional information)
Output written on main-pics.dvi (86 pages, 1252568 bytes).
Transcript written on main-pics.log.
rm -fv dobuildpstonly.tex && ln -sv /dev/null dobuildpstonly.tex
removed 'dobuildpstonly.tex'
'dobuildpstonly.tex' -> '/dev/null'
dvips -o main-pics.ps main-pics.dvi
This is dvips(k) 2024.1 (TeX Live 2025/dev)  Copyright 2024 Radical Eye Software (www.radicaleye.com)
' TeX output 2025.02.09:1948' -> main-pics.ps
</usr/share/texlive/texmf-dist/dvips/base/tex.pro>
</usr/share/texlive/texmf-dist/dvips/pstricks/pstricks.pro>
</usr/share/texlive/texmf-dist/dvips/pstricks/pst-algparser.pro>
</usr/share/texlive/texmf-dist/dvips/pst-tools/pst-tools.pro>
</usr/share/texlive/texmf-dist/dvips/pstricks/pst-dots.pro>
</usr/share/texlive/texmf-dist/dvips/pst-node/pst-node.pro>
</usr/share/texlive/texmf-dist/dvips/pst-3d/pst-3d.pro>
</usr/share/texlive/texmf-dist/dvips/pst-math/pst-math.pro>
</usr/share/texlive/texmf-dist/dvips/pstricks-add/pstricks-add.pro>
</usr/share/texlive/texmf-dist/dvips/l3backend/l3backend-dvips.pro>
</usr/share/texlive/texmf-dist/dvips/base/texps.pro>
</usr/share/texlive/texmf-dist/dvips/base/special.pro>. 
</usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmcsc10.pfb>
</usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmib10.pfb>
</usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr9.pfb>
</usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb>
</usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr8.pfb>
</usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi8.pfb>
</usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi7.pfb>
</usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy7.pfb>
</usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx10.pfb>
</usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb>
</usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb>
</usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr7.pfb>
</usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb>[1] 
[2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] 
[19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] [33] 
[34] [35] [36] [37] [38] [39] [40] [41] [42] [43] [44] [45] [46] [47] [48] 
[49] [50] [51] [52] [53] [54] [55] [56] [57] [58] [59] [60] [61] [62] [63] 
[64] [65] [66] [67] [68] [69] [70] [71] [72] [73] [74] [75] [76] [77] [78] 
[79] [80] [81] [82] [83] [84] [85] [86] 
ps2pdf -dALLOWPSTRANSPARENCY main-pics.ps
pdflatex -shell-restricted main.tex
This is pdfTeX, Version 3.141592653-2.6-1.40.26 (TeX Live 2025/dev/Debian) (preloaded format=pdflatex)
 restricted \write18 enabled.
entering extended mode
(./main.tex
LaTeX2e <2024-11-01>
L3 programming layer <2024-11-02>
(./derivations-book.cls
Document Class: derivations-book 2024/06/29 v1.4n Standard LaTeX document class

(/usr/share/texlive/texmf-dist/tex/latex/base/bk11.clo)) (./thb.sty
(/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty)
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty))
(/usr/share/texlive/texmf-dist/tex/latex/jknapltx/mathrsfs.sty)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty)
(/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def)))
(/usr/share/texlive/texmf-dist/tex/latex/pst-plot/pst-plot.sty
(/usr/share/texlive/texmf-dist/tex/latex/pstricks/pstricks.sty
(/usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty)
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/mathcolor.ltx))
(/usr/share/texlive/texmf-dist/tex/generic/xkeyval/pst-xkey.tex
(/usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty
(/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkeyval.tex
(/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkvutils.tex))))
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.tex
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pst-fp.tex
`pst-fp' v0.06, 2020/11/20 (hv))
(/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty
(/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex)))
(/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeyslibraryfiltered
.code.tex))) (/usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code
.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonomet
ric.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.cod
e.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison
.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.
tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code
.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.
tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerari
thmetics.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex)))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex))
`PSTricks' v3.20  <2024/07/09> (tvz,hv)
--- We are running latex or xelatex ---
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.con)
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks-color.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks-arrows.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks-dots.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.con))
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pst-fp.tex
`pst-fp' v0.06, 2020/11/20 (hv)))
(/usr/share/texlive/texmf-dist/tex/latex/xkeyval/pst-xkey.sty)
(/usr/share/texlive/texmf-dist/tex/latex/multido/multido.sty
(/usr/share/texlive/texmf-dist/tex/generic/multido/multido.tex
 v1.42, 2010/05/14 <tvz>))
(/usr/share/texlive/texmf-dist/tex/generic/pst-plot/pst-plot.tex
(/usr/share/texlive/texmf-dist/tex/generic/pst-tools/pst-tools.tex
`PST-tools' v0.12, 2021/09/23 (hv))
(/usr/share/texlive/texmf-dist/tex/generic/pstricks-add/pstricks-add.tex
(/usr/share/texlive/texmf-dist/tex/generic/pst-node/pst-node.tex
 v1.45, 2024/07/10)
(/usr/share/texlive/texmf-dist/tex/generic/pst-arrow/pst-arrow.tex
`pst-arrow' v0.05, 2021/11/16 (dr,hv))
(/usr/share/texlive/texmf-dist/tex/generic/pst-3d/pst-3d.tex
`PST-3d' v1.11, 2010/02/14 (tvz))
(/usr/share/texlive/texmf-dist/tex/generic/pst-math/pst-math.tex
`pst-math' v0.67 , (CJ,hv)) `pstricks-add' v3.94, 2023/04/17 (dr,hv))
 v1.94, 2022/11/21 (tvz,hv)))
(/usr/share/texlive/texmf-dist/tex/latex/base/makeidx.sty))

LaTeX Warning: \include should only be used after \begin{document} on input lin
e 6.

(./dobuilddraft.tex)

LaTeX Warning: \include should only be used after \begin{document} on input lin
e 7.

(./dobuildpstonly.tex)
(/usr/share/texlive/texmf-dist/tex/latex/pst-pdf/pst-pdf.sty
(/usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty)
(/usr/share/texlive/texmf-dist/tex/generic/iftex/ifxetex.sty)
(/usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty)
(/usr/share/texlive/texmf-dist/tex/generic/luatex85/luatex85.sty)
(/usr/share/texmf/tex/latex/preview/preview.sty)
(/usr/share/texlive/texmf-dist/tex/latex/environ/environ.sty
(/usr/share/texlive/texmf-dist/tex/latex/trimspaces/trimspaces.sty)))
Writing index file main.idx
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty
(/usr/share/texlive/texmf-dist/tex/latex/kvsetkeys/kvsetkeys.sty)
(/usr/share/texlive/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty)
(/usr/share/texlive/texmf-dist/tex/generic/pdfescape/pdfescape.sty
(/usr/share/texlive/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty)
(/usr/share/texlive/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty
(/usr/share/texlive/texmf-dist/tex/generic/infwarerr/infwarerr.sty)))
(/usr/share/texlive/texmf-dist/tex/latex/hycolor/hycolor.sty)
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty
(/usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty)
(/usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty
(/usr/share/texlive/texmf-dist/tex/latex/kvoptions/kvoptions.sty)))
(/usr/share/texlive/texmf-dist/tex/latex/etoolbox/etoolbox.sty)
(/usr/share/texlive/texmf-dist/tex/generic/stringenc/stringenc.sty)
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def)
(/usr/share/texlive/texmf-dist/tex/generic/intcalc/intcalc.sty)
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/puenc.def)
(/usr/share/texlive/texmf-dist/tex/latex/url/url.sty)
(/usr/share/texlive/texmf-dist/tex/generic/bitset/bitset.sty
(/usr/share/texlive/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty))
(/usr/share/texlive/texmf-dist/tex/latex/base/atbegshi-ltx.sty))
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def
(/usr/share/texlive/texmf-dist/tex/latex/base/atveryend-ltx.sty)
(/usr/share/texlive/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty
(/usr/share/texlive/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty)))
(/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def)
(./main.aux (./sphere.aux) (./pref.aux) (./intro.aux) (./alggeo.aux)
(./trig.aux) (./drvtv.aux) (./cexp.aux) (./noth.aux) (./integ.aux)
(./taylor.aux) (./inttx.aux) (./cubic.aux) (./matrix.aux) (./gjrank.aux)
(./mtxinv.aux) (./eigen.aux) (./vector.aux) (./vcalc.aux) (./fours.aux)
(./fouri.aux) (./lapl.aux) (./prob.aux) (./gamma.aux) (./stub.aux)
(./conclu.aux) (./hex.aux) (./greek.aux) (./purec.aux) (./hist.aux))
(/usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii
[Loading MPS to PDF converter (version 2006.09.02).]
)
Preview: Fontsize 10.95pt
Preview: PDFoutput 1
(./main.out) (./main.out) (./sphere.tex)
(/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd)
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd)
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd)
(/usr/share/texlive/texmf-dist/tex/latex/jknapltx/ursfs.fd)
[1
Non-PDF special ignored!
<special> header=pstricks.pro
Non-PDF special ignored!
<special> header=pst-algparser.pro
Non-PDF special ignored!
<special> header=pst-tools.pro
Non-PDF special ignored!
<special> header=pst-dots.pro
Non-PDF special ignored!
<special> header=pst-node.pro
Non-PDF special ignored!
<special> header=pst-3d.pro
Non-PDF special ignored!
<special> header=pst-math.pro
Non-PDF special ignored!
<special> header=pstricks-add.pro
Non-PDF special ignored!
<special> ps: /pssetRGBcolor /setrgbcolor load def /pssetCMYKcolor /setcmyk...
Non-PDF special ignored!
<special> ps:tx@Dict begin  gsave STV CP T /ps@rot 0 def grestore  end
Non-PDF special ignored!
<special> ps:tx@Dict begin  gsave STV CP T /ps@refangle 0.  def grestore  e...
Non-PDF special ignored!
<special> ps:tx@Dict begin  gsave STV CP T /ps@rot 0 def grestore  end
{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}]

LaTeX Warning: Citation `Debian' on page ii undefined on input line 62.


LaTeX Warning: Citation `self' on page ii undefined on input line 63.


LaTeX Warning: Citation `self-derivations.org' on page ii undefined on input li
ne 64.


Overfull \hbox (16.27487pt too wide) in paragraph at lines 61--65
\OT1/cmr/m/n/10.95 This book is pub-lished by the De-bian Project [[]]. Be-side
s in De-bian GNU/Linux

LaTeX Warning: Citation `GPL' on page ii undefined on input line 68.


[2] (./main.toc
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14])
[15]
[16] (./main.lot
[17])
[18] (./main.lof
[19]
[20])
[21] (./pref.tex
[22]

LaTeX Warning: Citation `Courant/Hilbert' on page xxiii undefined on input line
 33.


LaTeX Warning: Citation `Jeffreys/Jeffreys' on page xxiii undefined on input li
ne 33.


LaTeX Warning: Citation `Arfken/Weber' on page xxiii undefined on input line 33
.


[23]
[24]

LaTeX Warning: Citation `Debian' on page xxv undefined on input line 143.


[25]

LaTeX Warning: Citation `GPL' on page xxvi undefined on input line 156.


LaTeX Warning: Citation `Gibbon' on page xxvi undefined on input line 180.


LaTeX Warning: Citation `Shirer' on page xxvi undefined on input line 181.


[26]

LaTeX Warning: Citation `Lewis:abolition' on page xxvii undefined on input line
 242.


[27]

LaTeX Warning: Citation `Sieg/Schlimm' on page xxviii undefined on input line 2
84.


LaTeX Warning: Citation `Toader' on page xxviii undefined on input line 284.


LaTeX Warning: Citation `Brown-conversation' on page xxviii undefined on input 
line 343.


LaTeX Warning: Citation `DEDavis-conversation' on page xxviii undefined on inpu
t line 344.


Underfull \vbox (badness 1418) has occurred while \output is active
[28])
[29]
[30] (./intro.tex
Chapter 1.

[1 <./main-pics.pdf>]

LaTeX Warning: Citation `def-applied-math' on page 2 undefined on input line 13
5.


[2 <./main-pics.pdf>]

LaTeX Warning: Citation `Webster1913' on page 3 undefined on input line 189.


LaTeX Warning: Citation `Wilson' on page 3 undefined on input line 197.


LaTeX Warning: Citation `Hilbert:geometrie' on page 3 undefined on input line 2
09.


LaTeX Warning: Citation `Hersh-book' on page 3 undefined on input line 209.


LaTeX Warning: Citation `Weierstrass:werke' on page 3 undefined on input line 2
15.


[3]
[4]

LaTeX Warning: Citation `mathbios' on page 5 undefined on input line 284.


LaTeX Warning: Citation `Courant/Hilbert' on page 5 undefined on input line 301
.


LaTeX Warning: Citation `Pinter' on page 5 undefined on input line 309.


LaTeX Warning: Citation `Shilov' on page 5 undefined on input line 320.


[5]

LaTeX Warning: Citation `Feferman' on page 6 undefined on input line 359.


LaTeX Warning: Citation `Shilov' on page 6 undefined on input line 359.


LaTeX Warning: Citation `Shilov' on page 6 undefined on input line 359.


Underfull \vbox (badness 10000) has occurred while \output is active
[6]

LaTeX Warning: Citation `Bell/Korte' on page 7 undefined on input line 401.


LaTeX Warning: Citation `Weyl:1950' on page 7 undefined on input line 420.


[7]

LaTeX Warning: Citation `Spiegel' on page 8 undefined on input line 461.


LaTeX Warning: Citation `Hersh' on page 8 undefined on input line 474.


LaTeX Warning: Citation `Feser' on page 8 undefined on input line 477.


LaTeX Warning: Citation `Tymoczko:vat' on page 8 undefined on input line 499.


[8]

LaTeX Warning: Citation `Tymoczko' on page 9 undefined on input line 520.


LaTeX Warning: Citation `Carson/Huber' on page 9 undefined on input line 546.


LaTeX Warning: Citation `Courant/Hilbert' on page 9 undefined on input line 546
.


LaTeX Warning: Citation `Feferman' on page 9 undefined on input line 546.


LaTeX Warning: Citation `Frege' on page 9 undefined on input line 546.


LaTeX Warning: Citation `Hamming' on page 9 undefined on input line 546.


LaTeX Warning: Citation `Hardy' on page 9 undefined on input line 546.


LaTeX Warning: Citation `Hersh' on page 9 undefined on input line 546.


LaTeX Warning: Citation `Knopp' on page 9 undefined on input line 546.


LaTeX Warning: Citation `Krader' on page 9 undefined on input line 546.


LaTeX Warning: Citation `Lebedev' on page 9 undefined on input line 546.


LaTeX Warning: Citation `Pinter' on page 9 undefined on input line 546.


LaTeX Warning: Citation `Shilov' on page 9 undefined on input line 546.


LaTeX Warning: Citation `Sieg/Schlimm' on page 9 undefined on input line 546.


LaTeX Warning: Citation `Toader' on page 9 undefined on input line 546.


LaTeX Warning: Citation `Tymoczko' on page 9 undefined on input line 546.


LaTeX Warning: Citation `Tymoczko:vat' on page 9 undefined on input line 546.


LaTeX Warning: Citation `Watson' on page 9 undefined on input line 546.


LaTeX Warning: Citation `Weierstrass:werke' on page 9 undefined on input line 5
46.


LaTeX Warning: Citation `Weiner' on page 9 undefined on input line 546.


LaTeX Warning: Citation `Weyl:1950' on page 9 undefined on input line 546.


LaTeX Warning: Citation `Whitehead/Russell' on page 9 undefined on input line 5
54.


LaTeX Warning: Citation `Wittgenstein-lectures' on page 9 undefined on input li
ne 572.


[9]

LaTeX Warning: Citation `Noe' on page 10 undefined on input line 592.


LaTeX Warning: Citation `Plato' on page 10 undefined on input line 632.


[10]

LaTeX Warning: Citation `Suppes' on page 11 undefined on input line 671.


LaTeX Warning: Citation `Wilson' on page 11 undefined on input line 671.


LaTeX Warning: Citation `Dasgupta' on page 11 undefined on input line 671.


LaTeX Warning: Citation `Scholz' on page 11 undefined on input line 677.


LaTeX Warning: Citation `Weyl:1918' on page 11 undefined on input line 699.


LaTeX Warning: Citation `Bulmer' on page 11 undefined on input line 704.


LaTeX Warning: Citation `Shilov' on page 11 undefined on input line 733.


[11]
[12]

LaTeX Warning: Citation `Hamming' on page 13 undefined on input line 808.


[13]
[14 <./main-pics.pdf>]

LaTeX Warning: Citation `Frege' on page 15 undefined on input line 977.


LaTeX Warning: Citation `Suppes/Hill' on page 15 undefined on input line 977.


LaTeX Warning: Citation `Weiner' on page 15 undefined on input line 977.


[15]

LaTeX Warning: Citation `Arnold:1997' on page 16 undefined on input line 996.


LaTeX Warning: Citation `Shilov' on page 16 undefined on input line 996.


LaTeX Warning: Citation `Fisher' on page 16 undefined on input line 996.


LaTeX Warning: Citation `Spiegel' on page 16 undefined on input line 996.


LaTeX Warning: Citation `Hildebrand' on page 16 undefined on input line 996.


LaTeX Warning: Citation `GPL' on page 16 undefined on input line 1026.


LaTeX Warning: Citation `DFSG' on page 16 undefined on input line 1028.


LaTeX Warning: Citation `OSD' on page 16 undefined on input line 1028.

)
[16]
[17]
[18] (./alggeo.tex
Chapter 2.

LaTeX Warning: Citation `Shilov' on page 19 undefined on input line 65.


LaTeX Warning: Citation `Spiegel' on page 19 undefined on input line 65.


[19]
[20 <./main-pics.pdf>]
Underfull \vbox (badness 2538) has occurred while \output is active
[21]
[22]
[23]
[24]
[25]
[26]
[27]
[28]
[29]
[30]
[31]
[32]
[33]
Overfull \vbox (0.58911pt too high) has occurred while \output is active
[34]
[35]
[36]

LaTeX Warning: Citation `SRW' on page 37 undefined on input line 1173.


[37]
[38]
[39]

LaTeX Warning: Citation `Kohler-lecture' on page 40 undefined on input line 131
6.


LaTeX Warning: Citation `Fisher' on page 40 undefined on input line 1316.


Underfull \vbox (badness 10000) has occurred while \output is active
[40]
[41]
[42]

LaTeX Warning: Citation `McMahon' on page 43 undefined on input line 1462.


[43]

LaTeX Warning: Citation `Russell:1903' on page 44 undefined on input line 1565.



[44]
[45]
[46]
[47]
[48]
[49]
[50 <./main-pics.pdf>]

LaTeX Warning: Citation `wikip' on page 51 undefined on input line 1977.


LaTeX Warning: Citation `wikip' on page 51 undefined on input line 1977.


[51 <./main-pics.pdf>]
[52]

LaTeX Warning: Citation `Euclid' on page 53 undefined on input line 2142.


Underfull \vbox (badness 10000) has occurred while \output is active
[53 <./main-pics.pdf>]

LaTeX Warning: Citation `Shilov' on page 54 undefined on input line 2257.


[54]
[55]
[56]
[57 <./main-pics.pdf>]

LaTeX Warning: Citation `Feser' on page 58 undefined on input line 2595.


LaTeX Warning: Citation `Frege' on page 58 undefined on input line 2595.


[58]
[59 <./main-pics.pdf>]

LaTeX Warning: Citation `Feynman' on page 60 undefined on input line 2775.


[60]

LaTeX Warning: Citation `WADavis-conversation' on page 61 undefined on input li
ne 2795.


LaTeX Warning: Citation `Feynman' on page 61 undefined on input line 2795.


[61]

LaTeX Warning: Citation `Hamming' on page 62 undefined on input line 2850.


LaTeX Warning: Citation `Hamming' on page 62 undefined on input line 2889.


LaTeX Warning: Citation `Spiegel' on page 62 undefined on input line 2889.


[62]

LaTeX Warning: Citation `Hildebrand' on page 63 undefined on input line 2898.


[63])
[64] (./trig.tex
Chapter 3.

[65]
[66 <./main-pics.pdf>]
[67 <./main-pics.pdf>]
[68]
[69 <./main-pics.pdf>]
[70 <./main-pics.pdf>]
[71]
[72]
[73 <./main-pics.pdf>]
[74]
Underfull \vbox (badness 5637) has occurred while \output is active
[75]

LaTeX Warning: Citation `KRHB' on page 76 undefined on input line 983.


[76]
[77 <./main-pics.pdf>]
[78 <./main-pics.pdf>]
[79]
[80 <./main-pics.pdf>]
[81]
[82]

LaTeX Warning: Citation `wikip' on page 83 undefined on input line 1335.


[83]
[84 <./main-pics.pdf>]
[85]
[86]

LaTeX Warning: Citation `Spiegel' on page 87 undefined on input line 1607.


LaTeX Warning: Citation `wikip' on page 87 undefined on input line 1607.


[87])
[88] (./drvtv.tex
Chapter 4.

LaTeX Warning: Citation `Hamming' on page 89 undefined on input line 39.


Underfull \vbox (badness 1077) has occurred while \output is active
[89]

LaTeX Warning: Citation `Berkeley' on page 90 undefined on input line 147.


LaTeX Warning: Citation `Courant/Hilbert' on page 90 undefined on input line 14
7.


LaTeX Warning: Citation `Dasgupta' on page 90 undefined on input line 147.


LaTeX Warning: Citation `Fisher' on page 90 undefined on input line 147.


LaTeX Warning: Citation `Frege' on page 90 undefined on input line 147.


LaTeX Warning: Citation `Hardy' on page 90 undefined on input line 147.


LaTeX Warning: Citation `Hersh' on page 90 undefined on input line 147.


LaTeX Warning: Citation `Hersh-book' on page 90 undefined on input line 147.


LaTeX Warning: Citation `Hilbert:geometrie' on page 90 undefined on input line 
147.


LaTeX Warning: Citation `Pinter' on page 90 undefined on input line 147.


LaTeX Warning: Citation `Robinson' on page 90 undefined on input line 147.


LaTeX Warning: Citation `Russell:1903' on page 90 undefined on input line 147.


LaTeX Warning: Citation `Shilov' on page 90 undefined on input line 147.


LaTeX Warning: Citation `Sieg/Schlimm' on page 90 undefined on input line 147.


LaTeX Warning: Citation `Toader' on page 90 undefined on input line 147.


LaTeX Warning: Citation `Tymoczko' on page 90 undefined on input line 147.


LaTeX Warning: Citation `Weierstrass:werke' on page 90 undefined on input line 
147.


LaTeX Warning: Citation `Weiner' on page 90 undefined on input line 147.


LaTeX Warning: Citation `Weyl:1918' on page 90 undefined on input line 147.


LaTeX Warning: Citation `Weyl:1950' on page 90 undefined on input line 147.


LaTeX Warning: Citation `Wilson' on page 90 undefined on input line 147.


[90]
[91]

LaTeX Warning: Citation `Hamming' on page 92 undefined on input line 250.


[92]
[93]
[94]
Underfull \vbox (badness 10000) has occurred while \output is active
[95]
[96]
[97]
[98]

LaTeX Warning: Citation `Feynman' on page 99 undefined on input line 659.


LaTeX Warning: Citation `Cunningham' on page 99 undefined on input line 659.


[99]

LaTeX Warning: Citation `Andrews' on page 100 undefined on input line 713.


[100]
[101]

LaTeX Warning: Citation `Jothi/Srin' on page 102 undefined on input line 908.


[102]

LaTeX Warning: Citation `Bell:2006' on page 103 undefined on input line 984.


[103]

LaTeX Warning: Citation `vanAtten' on page 104 undefined on input line 1082.


LaTeX Warning: Citation `Bell:Cantor' on page 104 undefined on input line 1084.



[104]

LaTeX Warning: Citation `Bell:2006' on page 105 undefined on input line 1096.


LaTeX Warning: Citation `Weyl:1918' on page 105 undefined on input line 1128.


LaTeX Warning: Citation `Scholz' on page 105 undefined on input line 1128.


LaTeX Warning: Citation `Robinson' on page 105 undefined on input line 1128.


LaTeX Warning: Citation `Bell:2006' on page 105 undefined on input line 1128.


[105]

LaTeX Warning: Citation `Shilov' on page 106 undefined on input line 1185.


LaTeX Warning: Citation `Robinson' on page 106 undefined on input line 1210.


[106]

LaTeX Warning: Citation `Robinson' on page 107 undefined on input line 1251.


LaTeX Warning: Citation `Derbyshire' on page 107 undefined on input line 1257.


[107]

LaTeX Warning: Citation `WTAng' on page 108 undefined on input line 1376.


[108]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1430.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `superscript' on input line 1430.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1430.


[109]

LaTeX Warning: Citation `Robinson' on page 110 undefined on input line 1483.


[110]
Underfull \vbox (badness 10000) has occurred while \output is active
[111]

LaTeX Warning: Citation `Spiegel' on page 112 undefined on input line 1601.


[112]
[113]
[114]
[115 <./main-pics.pdf>]

LaTeX Warning: Citation `wikip' on page 116 undefined on input line 1862.


Underfull \vbox (badness 5667) has occurred while \output is active
[116 <./main-pics.pdf>]
[117]

LaTeX Warning: Citation `Shenk' on page 118 undefined on input line 1959.


Underfull \vbox (badness 1603) has occurred while \output is active
[118]
[119 <./main-pics.pdf>]
[120]

LaTeX Warning: Citation `Shenk' on page 121 undefined on input line 2146.


LaTeX Warning: Citation `Nayfeh/Bal' on page 121 undefined on input line 2146.


LaTeX Warning: Citation `EWW' on page 121 undefined on input line 2146.

)
[121] (./cexp.tex
[122]
Chapter 5.

[123]
[124]
[125]

LaTeX Warning: Citation `OEIS' on page 126 undefined on input line 251.


[126 <./main-pics.pdf>]
[127]

LaTeX Warning: Citation `OEIS' on page 128 undefined on input line 366.


[128 <./main-pics.pdf>]
[129]
[130]
[131]
[132 <./main-pics.pdf>]
[133]
[134]
[135]

LaTeX Warning: Citation `Carson/Huber' on page 136 undefined on input line 944.



[136]

LaTeX Warning: Citation `Spiegel' on page 137 undefined on input line 999.


[137]
[138]
[139]
[140 <./main-pics.pdf>]

LaTeX Warning: Citation `Shenk' on page 141 undefined on input line 1268.


[141]
[142]
[143]

LaTeX Warning: Citation `mathbios' on page 144 undefined on input line 1413.


Underfull \vbox (badness 1062) has occurred while \output is active
[144]
Underfull \hbox (badness 2951) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 varying elec-tric cur-rent of $(5\OML/cmm/m/it/9 :\OT1/cmr/m/n/9
 0 []) []\OMS/cmsy/m/n/9 f\OT1/cmr/m/n/9 +\OML/cmm/m/it/9 i\OT1/cmr/m/n/9 (60 [
][])2\OML/cmm/m/it/9 ^^Yt\OMS/cmsy/m/n/9 g$\OT1/cmr/m/n/9 , an elec-tric ca-

Underfull \hbox (badness 2103) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 pac-i-tor de-vel-ops a voltage---that is, de-vel-ops an elec-tri
c ten-sion or potential---

Underfull \hbox (badness 7116) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 of $(40 []) []\OMS/cmsy/m/n/9 f\OT1/cmr/m/n/9 +\OML/cmm/m/it/9 i
\OT1/cmr/m/n/9 [(60 [][])2\OML/cmm/m/it/9 ^^Yt \OMS/cmsy/m/n/9 ^^@ \OT1/cmr/m/n
/9 2\OML/cmm/m/it/9 ^^Y=\OT1/cmr/m/n/9 4]\OMS/cmsy/m/n/9 g$\OT1/cmr/m/n/9 . It 
im-me-di-ately fol-lows, with-

Underfull \hbox (badness 2591) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 out fur-ther anal-y-sis, that the same ca-pac-i-tor, if fed by a
 time-varying elec-

Underfull \hbox (badness 1681) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 tric cur-rent of $(5\OML/cmm/m/it/9 :\OT1/cmr/m/n/9 0 []) []\OMS
/cmsy/m/n/9 f^^@\OML/cmm/m/it/9 i\OT1/cmr/m/n/9 (60 [][])2\OML/cmm/m/it/9 ^^Yt\
OMS/cmsy/m/n/9 g$\OT1/cmr/m/n/9 , would de-velop a volt-age of

LaTeX Warning: Citation `Stroustrup' on page 145 undefined on input line 1512.


LaTeX Warning: Citation `Feser' on page 145 undefined on input line 1516.


[145])
[146] (./noth.tex
Chapter 6.

[147]

LaTeX Warning: Citation `Stepney' on page 148 undefined on input line 68.


LaTeX Warning: Citation `Sagan' on page 148 undefined on input line 80.


LaTeX Warning: Citation `wikip' on page 148 undefined on input line 80.


[148]
[149]
[150]

LaTeX Warning: Citation `Sagan' on page 151 undefined on input line 254.


[151]

LaTeX Warning: Citation `Shilov' on page 152 undefined on input line 324.


[152]

LaTeX Warning: Citation `Hildebrand' on page 153 undefined on input line 350.


LaTeX Warning: Citation `Shilov' on page 153 undefined on input line 350.


[153]

LaTeX Warning: Citation `EWW-web' on page 154 undefined on input line 435.


Underfull \vbox (badness 10000) has occurred while \output is active
[154]
[155]
[156]

LaTeX Warning: Citation `Sedra/Smith' on page 157 undefined on input line 596.


[157]
[158]
[159]

LaTeX Warning: Citation `wikip' on page 160 undefined on input line 776.


LaTeX Warning: Citation `A-S' on page 160 undefined on input line 814.

)
[160] (./integ.tex
Chapter 7.

LaTeX Warning: Citation `Hamming' on page 161 undefined on input line 36.


[161]

LaTeX Warning: Citation `Hamming' on page 162 undefined on input line 197.


[162 <./main-pics.pdf>]
[163]

LaTeX Warning: Citation `wikip' on page 164 undefined on input line 261.


Underfull \vbox (badness 1527) has occurred while \output is active
[164 <./main-pics.pdf>]
[165]
[166 <./main-pics.pdf>]

LaTeX Warning: Citation `Hamming' on page 167 undefined on input line 563.


LaTeX Warning: Citation `Shenk' on page 167 undefined on input line 563.


LaTeX Warning: Citation `wikip' on page 167 undefined on input line 563.


[167]
Underfull \hbox (badness 5607) in paragraph at lines 635--638
[]\OT1/cmr/m/n/10.95 As an ex-am-ple of the for-mula's use, con-sider that be-c
ause

[168 <./main-pics.pdf>]
[169]
[170]
[171]

LaTeX Warning: Citation `Andrews' on page 172 undefined on input line 922.


[172]

LaTeX Warning: Citation `Knopp' on page 173 undefined on input line 970.


LaTeX Warning: Citation `Hamming' on page 173 undefined on input line 970.


LaTeX Warning: Citation `Andrews' on page 173 undefined on input line 970.


[173]

LaTeX Warning: Citation `Knopp' on page 174 undefined on input line 979.


[174]
[175]
[176 <./main-pics.pdf>]
[177]
[178]
[179 <./main-pics.pdf>]

LaTeX Warning: Citation `Palais:2001' on page 180 undefined on input line 1449.



[180 <./main-pics.pdf>]

LaTeX Warning: Citation `StarWars' on page 181 undefined on input line 1688.


[181]
[182 <./main-pics.pdf> <./main-pics.pdf>]
[183]
[184]
[185]
[186 <./main-pics.pdf>]

LaTeX Warning: Citation `Lathi' on page 187 undefined on input line 2016.


LaTeX Warning: Citation `JJH' on page 187 undefined on input line 2050.


[187 <./main-pics.pdf>]

LaTeX Warning: Citation `Phillips/Parr' on page 188 undefined on input line 214
5.


LaTeX Warning: Citation `Doetsch' on page 188 undefined on input line 2145.


LaTeX Warning: Citation `wikip' on page 188 undefined on input line 2145.


[188 <./main-pics.pdf>]
[189]

LaTeX Warning: Citation `Shenk' on page 190 undefined on input line 2222.


LaTeX Warning: Citation `Shenk' on page 190 undefined on input line 2226.


LaTeX Warning: Citation `Shenk' on page 190 undefined on input line 2230.

)
[190] (./taylor.tex
Chapter 8.

[191]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 59.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `superscript' on input line 59.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 59.


[192]
[193]

LaTeX Warning: Citation `Andrews' on page 194 undefined on input line 262.


[194]
[195]

LaTeX Warning: Citation `Hamming' on page 196 undefined on input line 347.


[196]

LaTeX Warning: Citation `Hamming' on page 197 undefined on input line 353.


LaTeX Warning: Citation `Hamming' on page 197 undefined on input line 367.


[197]
[198]
Underfull \vbox (badness 10000) has occurred while \output is active
[199]

LaTeX Warning: Citation `Arnold:1997' on page 200 undefined on input line 569.


LaTeX Warning: Citation `Fisher' on page 200 undefined on input line 569.


LaTeX Warning: Citation `Spiegel' on page 200 undefined on input line 569.


LaTeX Warning: Citation `Shilov' on page 200 undefined on input line 569.


LaTeX Warning: Citation `Hildebrand' on page 200 undefined on input line 569.


LaTeX Warning: Citation `Shilov' on page 200 undefined on input line 569.


LaTeX Warning: Citation `Kohler-lecture' on page 200 undefined on input line 56
9.


LaTeX Warning: Citation `TAndrews' on page 200 undefined on input line 569.


[200]

LaTeX Warning: Citation `Spiegel' on page 201 undefined on input line 653.


[201]

LaTeX Warning: Citation `Fisher' on page 202 undefined on input line 706.


LaTeX Warning: Citation `Spiegel' on page 202 undefined on input line 706.


LaTeX Warning: Citation `Hildebrand' on page 202 undefined on input line 706.


LaTeX Warning: Citation `Shilov' on page 202 undefined on input line 706.


[202]

LaTeX Warning: Citation `wikip' on page 203 undefined on input line 797.


[203]
Underfull \vbox (badness 1152) has occurred while \output is active
[204 <./main-pics.pdf>]

LaTeX Warning: Citation `Hildebrand' on page 205 undefined on input line 919.


[205 <./main-pics.pdf>]

LaTeX Warning: Citation `EWW' on page 206 undefined on input line 990.


LaTeX Warning: Citation `Spiegel' on page 206 undefined on input line 993.


LaTeX Warning: Citation `Lebedev' on page 206 undefined on input line 1012.


LaTeX Warning: Citation `Spiegel' on page 206 undefined on input line 1012.


LaTeX Warning: Citation `Lebedev' on page 206 undefined on input line 1012.


LaTeX Warning: Citation `Kohler-lecture' on page 206 undefined on input line 10
23.


[206]
Underfull \vbox (badness 10000) has occurred while \output is active
[207]

LaTeX Warning: Citation `deSturler-lecture' on page 208 undefined on input line
 1148.


LaTeX Warning: Citation `Kohler-lecture' on page 208 undefined on input line 11
48.


[208]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1193.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1193.


[209]
[210 <./main-pics.pdf>]
[211]
[212]
[213]

LaTeX Warning: Citation `Lebedev' on page 214 undefined on input line 1546.


[214 <./main-pics.pdf>]

LaTeX Warning: Citation `Hildebrand' on page 215 undefined on input line 1564.


LaTeX Warning: Citation `Spiegel' on page 215 undefined on input line 1564.


LaTeX Warning: Citation `wikip' on page 215 undefined on input line 1564.


LaTeX Warning: Citation `Kohler-lecture' on page 215 undefined on input line 16
12.


LaTeX Warning: Citation `Spiegel' on page 215 undefined on input line 1612.


[215]

LaTeX Warning: Citation `Shenk' on page 216 undefined on input line 1695.


Underfull \vbox (badness 1648) has occurred while \output is active
[216]
[217]
[218]
[219]
[220]
[221 <./main-pics.pdf>]

LaTeX Warning: Citation `Peterson/Mittra:1986' on page 222 undefined on input l
ine 2056.


LaTeX Warning: Citation `vdVorst' on page 222 undefined on input line 2056.


[222]
[223]
[224]
[225]
[226]

LaTeX Warning: Citation `Brown-conversation' on page 227 undefined on input lin
e 2350.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2358.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `\pi' on input line 2358.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2358.


LaTeX Warning: Citation `OEIS' on page 227 undefined on input line 2379.


[227]
[228]
[229]

LaTeX Warning: Citation `Kohler-lecture' on page 230 undefined on input line 25
31.


[230]
[231]

LaTeX Warning: Citation `Hildebrand' on page 232 undefined on input line 2686.


LaTeX Warning: Citation `Fisher' on page 232 undefined on input line 2686.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2694.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2694.


[232]
[233]
[234])
[235] (./inttx.tex
[236]
Chapter 9.

[237]
[238]
[239]
[240]
[241]
[242]
[243]

LaTeX Warning: Citation `Lebedev' on page 244 undefined on input line 430.


[244]
[245 <./main-pics.pdf>]

LaTeX Warning: Citation `Kohler-lecture' on page 246 undefined on input line 58
9.


[246]
Underfull \vbox (badness 10000) has occurred while \output is active
[247]
[248]

LaTeX Warning: Citation `Phillips/Parr' on page 249 undefined on input line 703
.


LaTeX Warning: Citation `Hildebrand' on page 249 undefined on input line 703.


[249]
[250]
[251]
Underfull \vbox (badness 10000) has occurred while \output is active
[252]
[253]
Underfull \vbox (badness 10000) has occurred while \output is active
[254]
[255]
[256]
[257]
[258]
[259]
[260]
Underfull \vbox (badness 3746) has occurred while \output is active
[261]

LaTeX Warning: Citation `Hildebrand' on page 262 undefined on input line 1576.


[262]
[263]

LaTeX Warning: Citation `Lebedev' on page 264 undefined on input line 1684.


LaTeX Warning: Citation `Andrews' on page 264 undefined on input line 1684.


LaTeX Warning: Citation `EWW' on page 264 undefined on input line 1684.


[264]

LaTeX Warning: Citation `Spiegel/Liu' on page 265 undefined on input line 1742.



LaTeX Warning: Citation `Shenk' on page 265 undefined on input line 1742.


LaTeX Warning: Citation `Spiegel/Liu' on page 265 undefined on input line 1766.



LaTeX Warning: Citation `Shenk' on page 265 undefined on input line 1766.


LaTeX Warning: Citation `Spiegel/Liu' on page 265 undefined on input line 1779.



[265]
[266])
[267] (./cubic.tex
[268]
Chapter 10.

LaTeX Warning: Citation `EWW' on page 269 undefined on input line 72.


LaTeX Warning: Citation `EWW' on page 269 undefined on input line 72.


LaTeX Warning: Citation `wikip' on page 269 undefined on input line 72.


LaTeX Warning: Citation `wikip' on page 269 undefined on input line 72.


LaTeX Warning: Citation `wikip' on page 269 undefined on input line 72.


LaTeX Warning: Citation `SRW' on page 269 undefined on input line 72.


[269]

LaTeX Warning: Citation `EWW' on page 270 undefined on input line 132.


[270]
[271 <./main-pics.pdf>]

LaTeX Warning: Citation `Spiegel/Liu' on page 272 undefined on input line 297.


[272]
[273]
[274]
[275]
Underfull \vbox (badness 5652) has occurred while \output is active
[276]

LaTeX Warning: Citation `EWW' on page 277 undefined on input line 587.


[277]

LaTeX Warning: Citation `EWW' on page 278 undefined on input line 615.


[278]
[279]
[280]
[281]

LaTeX Warning: Citation `SRW' on page 282 undefined on input line 841.

)
[282]
[283]
[284] (./matrix.tex
Chapter 11.

[285]

LaTeX Warning: Citation `Lay' on page 286 undefined on input line 182.


LaTeX Warning: Citation `Hefferon' on page 286 undefined on input line 182.


[286]

LaTeX Warning: Citation `Beattie' on page 287 undefined on input line 192.


LaTeX Warning: Citation `Franklin' on page 287 undefined on input line 192.


LaTeX Warning: Citation `Hefferon' on page 287 undefined on input line 192.


LaTeX Warning: Citation `Lay' on page 287 undefined on input line 192.


Underfull \vbox (badness 10000) has occurred while \output is active
[287]

LaTeX Warning: Citation `Beattie' on page 288 undefined on input line 223.


LaTeX Warning: Citation `Lay' on page 288 undefined on input line 223.


[288]
[289]
[290]
[291]
[292]

LaTeX Warning: Citation `wikip' on page 293 undefined on input line 544.


[293]
[294]
[295]
[296]
[297]
[298]
[299]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1005.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1005.


[300]
[301]

LaTeX Warning: Citation `Lay' on page 302 undefined on input line 1228.


[302]
[303]
[304]
[305]
[306]
[307]
[308]
[309]
[310]
[311]
Underfull \vbox (badness 7667) has occurred while \output is active
[312]
[313]
Underfull \vbox (badness 1052) has occurred while \output is active
[314]
[315]
Underfull \vbox (badness 10000) has occurred while \output is active
[316]
Underfull \vbox (badness 1412) has occurred while \output is active
[317]

LaTeX Warning: Citation `wikip' on page 318 undefined on input line 2170.


[318]
[319]
[320]
Underfull \vbox (badness 10000) has occurred while \output is active
[321]
[322]
Underfull \vbox (badness 10000) has occurred while \output is active
[323]
[324]
[325]
Underfull \vbox (badness 10000) has occurred while \output is active
[326]
[327]

LaTeX Warning: Citation `wikip' on page 328 undefined on input line 2712.


[328])
[329] (./gjrank.tex
[330]
Chapter 12.

[331]
[332]
[333]
[334]
[335]
[336]
Underfull \vbox (badness 10000) has occurred while \output is active
[337]
[338]
[339]
[340]
Underfull \vbox (badness 10000) has occurred while \output is active
[341]

LaTeX Warning: Citation `Intel' on page 342 undefined on input line 730.


Underfull \vbox (badness 2591) has occurred while \output is active
[342]
[343]
[344]
[345]
Underfull \vbox (badness 1990) has occurred while \output is active
[346]
[347]
[348]
[349]
[350]
[351]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1297.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `subscript' on input line 1297.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1297.


[352]
[353]
[354]
[355]
[356]
[357]
[358]
[359]
[360]
[361]
[362]
[363]
[364]
[365]
[366]
[367]

LaTeX Warning: Citation `Beattie' on page 368 undefined on input line 2313.


LaTeX Warning: Citation `planetm' on page 368 undefined on input line 2313.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2323.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2323.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2323.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2323.


[368]
[369]
[370])
[371] (./mtxinv.tex
[372]
Chapter 13.

[373]
Underfull \vbox (badness 10000) has occurred while \output is active
[374]
Underfull \vbox (badness 1968) has occurred while \output is active
[375]
[376]
[377]

LaTeX Warning: Citation `Hefferon' on page 378 undefined on input line 367.


LaTeX Warning: Citation `Lay' on page 378 undefined on input line 367.


LaTeX Warning: Citation `Hefferon' on page 378 undefined on input line 367.


LaTeX Warning: Citation `Lay' on page 378 undefined on input line 367.


[378]
[379]
[380]
[381]
[382]
[383]
[384]
[385]
Underfull \vbox (badness 10000) has occurred while \output is active
[386]
[387]
[388]
[389]

LaTeX Warning: Citation `vdVorst' on page 390 undefined on input line 1121.


LaTeX Warning: Citation `Peterson/Mittra:1986' on page 390 undefined on input l
ine 1121.


[390]
[391 <./main-pics.pdf, page is rotated 90 degrees>]
[392]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1424.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `superscript' on input line 1424.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1424.


[393]
[394]
[395]
[396]
[397]
[398]

LaTeX Warning: Citation `Beattie' on page 399 undefined on input line 1742.


LaTeX Warning: Citation `planetm' on page 399 undefined on input line 1742.


LaTeX Warning: Citation `Gujarati' on page 399 undefined on input line 1742.


[399]

LaTeX Warning: Citation `Scales-lecture' on page 400 undefined on input line 17
89.


LaTeX Warning: Citation `Beattie' on page 400 undefined on input line 1861.


LaTeX Warning: Citation `Franklin' on page 400 undefined on input line 1861.


LaTeX Warning: Citation `HFDavis' on page 400 undefined on input line 1861.


[400]
[401]

LaTeX Warning: Citation `Wu/Wu' on page 402 undefined on input line 2006.


LaTeX Warning: Citation `HFDavis' on page 402 undefined on input line 2006.


LaTeX Warning: Citation `wikip' on page 402 undefined on input line 2006.


[402]
[403]
[404]

LaTeX Warning: Citation `HFDavis' on page 405 undefined on input line 2137.


LaTeX Warning: Citation `Hefferon' on page 405 undefined on input line 2164.


LaTeX Warning: Citation `Beattie' on page 405 undefined on input line 2164.


LaTeX Warning: Citation `Lay' on page 405 undefined on input line 2164.


LaTeX Warning: Citation `Hefferon' on page 405 undefined on input line 2179.


[405]
[406]
[407]

LaTeX Warning: Citation `wikip' on page 408 undefined on input line 2357.


[408]
[409]
[410]
[411]
[412]

LaTeX Warning: Citation `Franklin' on page 413 undefined on input line 2735.


[413]
[414])
[415] (./eigen.tex
[416]
Chapter 14.

[417]
[418]

LaTeX Warning: Citation `Franklin' on page 419 undefined on input line 135.


LaTeX Warning: Citation `Franklin' on page 419 undefined on input line 145.


[419]
[420]
[421]
[422]
[423]
[424]
[425]

LaTeX Warning: Citation `Franklin' on page 426 undefined on input line 616.


[426]
[427]
[428]

LaTeX Warning: Citation `Franklin' on page 429 undefined on input line 833.


[429]
[430]

LaTeX Warning: Citation `math21b' on page 431 undefined on input line 920.


[431]
[432]
[433]

LaTeX Warning: Citation `deSturler-lecture' on page 434 undefined on input line
 1161.


[434]
[435]

LaTeX Warning: Citation `Hefferon' on page 436 undefined on input line 1314.


LaTeX Warning: Citation `Lay' on page 436 undefined on input line 1314.


[436]
Underfull \vbox (badness 3646) has occurred while \output is active
[437]
[438]
Underfull \vbox (badness 10000) has occurred while \output is active
[439]
[440]
[441]
[442]
[443]
[444]

LaTeX Warning: Citation `Friedberg-IS' on page 445 undefined on input line 1843
.


LaTeX Warning: Citation `Franklin' on page 445 undefined on input line 1846.


LaTeX Warning: Citation `Wilkinson' on page 445 undefined on input line 1854.


[445]

LaTeX Warning: Citation `Lay' on page 446 undefined on input line 1917.


[446]
[447]
[448]

LaTeX Warning: Citation `wikip' on page 449 undefined on input line 2106.


[449]
[450]

LaTeX Warning: Citation `Hefferon' on page 451 undefined on input line 2255.


[451])
[452] (./vector.tex
Chapter 15.

LaTeX Warning: Citation `Cheng' on page 453 undefined on input line 31.


[453]
[454 <./main-pics.pdf>]
[455]

LaTeX Warning: Citation `wikip' on page 456 undefined on input line 216.


LaTeX Warning: Citation `Jones/Fjeld' on page 456 undefined on input line 216.


LaTeX Warning: Citation `CERN-Alice-delta' on page 456 undefined on input line 
268.


[456]
[457]
[458]
[459]
Underfull \vbox (badness 10000) has occurred while \output is active
[460 <./main-pics.pdf>]
[461]

LaTeX Warning: Citation `Harrington' on page 462 undefined on input line 750.


[462]
[463 <./main-pics.pdf>]
[464]

LaTeX Warning: Citation `PM:1964' on page 465 undefined on input line 950.


[465]
[466 <./main-pics.pdf> <./main-pics.pdf> <./main-pics.pdf> <./main-pics.pdf>]
[467 <./main-pics.pdf>]
[468]
[469]

LaTeX Warning: Citation `Cheng' on page 470 undefined on input line 1380.


[470]

LaTeX Warning: Citation `Hopman' on page 471 undefined on input line 1392.


LaTeX Warning: Citation `wikip' on page 471 undefined on input line 1401.


[471]

LaTeX Warning: Citation `EWW-web' on page 472 undefined on input line 1432.


LaTeX Warning: Citation `physics321' on page 472 undefined on input line 1446.


LaTeX Warning: Citation `Hopman' on page 472 undefined on input line 1457.


LaTeX Warning: Citation `planetm' on page 472 undefined on input line 1491.


Underfull \vbox (badness 1137) has occurred while \output is active
[472]

LaTeX Warning: Citation `physics321' on page 473 undefined on input line 1543.


[473]
Underfull \vbox (badness 10000) has occurred while \output is active
[474]
Underfull \vbox (badness 10000) has occurred while \output is active
[475]
[476]

LaTeX Warning: Citation `Stratton' on page 477 undefined on input line 1848.


LaTeX Warning: Citation `Harrington' on page 477 undefined on input line 1848.


[477]
[478 <./main-pics.pdf>]
[479]

LaTeX Warning: Citation `Lebedev' on page 480 undefined on input line 2077.


LaTeX Warning: Citation `wikip' on page 480 undefined on input line 2077.


[480]

LaTeX Warning: Citation `Shenk' on page 481 undefined on input line 2107.


[481]
[482 <./main-pics.pdf>]
[483]
[484 <./main-pics.pdf> <./main-pics.pdf>]
[485]
[486]
[487]
[488])
[489] (./vcalc.tex
[490]
Chapter 16.

LaTeX Warning: Citation `BSL' on page 491 undefined on input line 54.


[491]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 134.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `\nabla' on input line 134.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 134.


[492]
[493]
[494]

LaTeX Warning: Citation `Brown-conversation' on page 495 undefined on input lin
e 304.


[495]
[496]

LaTeX Warning: Citation `vanBladel' on page 497 undefined on input line 430.


[497]
[498]
[499]
[500]
[501]
Underfull \vbox (badness 1215) has occurred while \output is active
[502]
[503]

LaTeX Warning: Citation `Stratton' on page 504 undefined on input line 895.


[504]

LaTeX Warning: Citation `Stratton' on page 505 undefined on input line 962.


LaTeX Warning: Citation `Balanis' on page 505 undefined on input line 989.


LaTeX Warning: Citation `Stratton' on page 505 undefined on input line 989.


LaTeX Warning: Citation `Harrington' on page 505 undefined on input line 989.


[505]
Underfull \vbox (badness 10000) has occurred while \output is active
[506]
[507]
Underfull \vbox (badness 1194) has occurred while \output is active
[508]
[509]
Underfull \vbox (badness 10000) has occurred while \output is active
[510]
[511]

LaTeX Warning: Citation `Cheng' on page 512 undefined on input line 1440.


[512]
[513]
[514]
[515]
[516]
[517]
[518]

LaTeX Warning: Citation `Balanis' on page 519 undefined on input line 1998.


[519]
[520]
[521]

LaTeX Warning: Citation `Balanis' on page 522 undefined on input line 2260.


[522]
[523]
Underfull \vbox (badness 10000) has occurred while \output is active
[524]
[525]
[526]
[527]
Underfull \vbox (badness 5862) has occurred while \output is active
[528]
[529])
[530]
[531]
[532] (./fours.tex
Chapter 17.

LaTeX Warning: Citation `JJH' on page 533 undefined on input line 16.


[533 <./main-pics.pdf>]
Underfull \vbox (badness 10000) has occurred while \output is active
[534]
[535 <./main-pics.pdf>]
[536]
[537]
[538]
[539]
[540]
[541]
[542 <./main-pics.pdf>]
[543]

LaTeX Warning: Citation `Couch' on page 544 undefined on input line 1016.


Underfull \vbox (badness 10000) has occurred while \output is active
[544 <./main-pics.pdf> <./main-pics.pdf> <./main-pics.pdf>]
[545]
[546 <./main-pics.pdf>]
[547 <./main-pics.pdf>]
[548]
Underfull \vbox (badness 10000) has occurred while \output is active
[549]
[550]
[551 <./main-pics.pdf>]
[552 <./main-pics.pdf>]
[553]

LaTeX Warning: Citation `Tikoo' on page 554 undefined on input line 1824.


[554]

LaTeX Warning: Citation `Robinson' on page 555 undefined on input line 1878.


LaTeX Warning: Citation `HFDavis' on page 555 undefined on input line 1878.


Underfull \vbox (badness 10000) has occurred while \output is active
[555]
[556]

LaTeX Warning: Citation `HFDavis' on page 557 undefined on input line 2036.


[557]

LaTeX Warning: Citation `Young-lecture' on page 558 undefined on input line 205
6.


Underfull \vbox (badness 1142) has occurred while \output is active
[558 <./main-pics.pdf>]

LaTeX Warning: Citation `wikip' on page 559 undefined on input line 2195.


[559]
[560]

LaTeX Warning: Citation `Phillips/Parr' on page 561 undefined on input line 233
0.


LaTeX Warning: Citation `Couch' on page 561 undefined on input line 2330.


LaTeX Warning: Citation `Octave' on page 561 undefined on input line 2330.


[561 <./main-pics.pdf>]

LaTeX Warning: Citation `Lebedev' on page 562 undefined on input line 2431.


[562 <./main-pics.pdf>]
[563]
[564 <./main-pics.pdf>]
[565]
[566]
[567 <./main-pics.pdf>]
[568]

LaTeX Warning: Citation `JJH' on page 569 undefined on input line 3020.


LaTeX Warning: Citation `Khamsi' on page 569 undefined on input line 3025.


LaTeX Warning: Citation `Wilbraham:1848' on page 569 undefined on input line 30
35.


LaTeX Warning: Citation `Gibbs:1899' on page 569 undefined on input line 3035.


[569]

LaTeX Warning: Citation `OEIS' on page 570 undefined on input line 3111.


[570])
[571 <./main-pics.pdf>] (./fouri.tex
[572]
Chapter 18.

[573 <./main-pics.pdf>]
[574]

LaTeX Warning: Citation `Phillips/Parr' on page 575 undefined on input line 228
.


LaTeX Warning: Citation `Couch' on page 575 undefined on input line 228.


LaTeX Warning: Citation `Feynman' on page 575 undefined on input line 228.


[575]
[576 <./main-pics.pdf>]
[577]
[578]
[579]
[580]
[581]
[582]
Underfull \hbox (badness 6559) in paragraph at lines 1096--1109
\OT1/cmr/m/n/10.95 ac-cord-ing to eqn. []18.4[] we would have found the pair $1
 []

[583]
[584]
[585]
[586]
[587]

LaTeX Warning: Citation `Hsu:sig' on page 588 undefined on input line 1467.


[588]
[589]
[590]

LaTeX Warning: Citation `HFDavis' on page 591 undefined on input line 1866.


LaTeX Warning: Citation `EWW-web' on page 591 undefined on input line 1885.


LaTeX Warning: Citation `JJH' on page 591 undefined on input line 1895.


[591]

LaTeX Warning: Citation `Hsu:comm' on page 592 undefined on input line 1922.


LaTeX Warning: Citation `Hsu:comm' on page 592 undefined on input line 1958.


[592]

LaTeX Warning: Citation `Couch' on page 593 undefined on input line 2127.


LaTeX Warning: Citation `Hsu:comm' on page 593 undefined on input line 2127.


[593]
[594]
[595]

LaTeX Warning: Citation `Couch' on page 596 undefined on input line 2174.


[596]
[597]
[598]

LaTeX Warning: Citation `Phillips/Parr' on page 599 undefined on input line 240
8.


[599]
[600]

LaTeX Warning: Citation `Hsu:sig' on page 601 undefined on input line 2539.


[601]

LaTeX Warning: Citation `Davis-Westin-conversation' on page 602 undefined on in
put line 2548.


[602]

LaTeX Warning: Citation `Feynman' on page 603 undefined on input line 2628.


[603]
[604]

LaTeX Warning: Citation `Hsu:sig' on page 605 undefined on input line 2771.

)
[605]
[606] (./lapl.tex
Chapter 19.

[607]

LaTeX Warning: Citation `Webster1913' on page 608 undefined on input line 86.


LaTeX Warning: Citation `JamesPeterson-lecture' on page 608 undefined on input 
line 99.


[608]
[609 <./main-pics.pdf>]

LaTeX Warning: Citation `GAWalls' on page 610 undefined on input line 286.


[610]
[611]
[612]
[613 <./main-pics.pdf>]
[614 <./main-pics.pdf>]
[615]
[616 <./main-pics.pdf>]
[617 <./main-pics.pdf>]
Underfull \vbox (badness 10000) has occurred while \output is active
[618 <./main-pics.pdf>]

LaTeX Warning: Citation `Hsu:sig' on page 619 undefined on input line 1277.


LaTeX Warning: Citation `Hsu:sig' on page 619 undefined on input line 1291.


LaTeX Warning: Citation `Phillips/Parr' on page 619 undefined on input line 129
1.


LaTeX Warning: Citation `JJH' on page 619 undefined on input line 1291.


[619]
[620]
[621]

LaTeX Warning: Citation `Phillips/Parr' on page 622 undefined on input line 148
5.


Underfull \hbox (badness 2173) in paragraph at lines 1485--1485
[][][]\OT1/cmr/m/n/9 Actually, for-mally, Laplace does sup-port an in-verse tra
ns-for-ma-tion for-mula,

LaTeX Warning: Citation `JJH' on page 622 undefined on input line 1499.


LaTeX Warning: Citation `Phillips/Parr' on page 622 undefined on input line 151
6.


[622]
[623]
[624]

LaTeX Warning: Citation `Phillips/Parr' on page 625 undefined on input line 164
3.


[625]

LaTeX Warning: Citation `Couch' on page 626 undefined on input line 1757.


Underfull \vbox (badness 10000) has occurred while \output is active
[626]
Underfull \vbox (badness 5064) has occurred while \output is active
[627])
[628]
[629]
[630] (./prob.tex
Chapter 20.

LaTeX Warning: Citation `CDC' on page 631 undefined on input line 42.


[631]
[632]

LaTeX Warning: Citation `Hamming' on page 633 undefined on input line 126.


LaTeX Warning: Citation `Walpole/Myers' on page 633 undefined on input line 175
.


LaTeX Warning: Citation `Alder/Roessler' on page 633 undefined on input line 17
5.


LaTeX Warning: Citation `Lindgren' on page 633 undefined on input line 175.


LaTeX Warning: Citation `Rosenkrantz' on page 633 undefined on input line 175.


[633]
[634]
[635]
[636]
[637]
[638]
[639]
[640]
[641]
[642 <./main-pics.pdf>]
Underfull \vbox (badness 10000) has occurred while \output is active
[643]
[644]
[645]
Underfull \vbox (badness 10000) has occurred while \output is active
[646]
[647]

LaTeX Warning: Citation `Walpole/Myers' on page 648 undefined on input line 113
2.


LaTeX Warning: Citation `Alder/Roessler' on page 648 undefined on input line 11
32.


[648]

LaTeX Warning: Citation `Bulmer' on page 649 undefined on input line 1195.


LaTeX Warning: Citation `Walpole/Myers' on page 649 undefined on input line 119
5.


LaTeX Warning: Citation `Alder/Roessler' on page 649 undefined on input line 11
95.


LaTeX Warning: Citation `Lindgren' on page 649 undefined on input line 1195.


LaTeX Warning: Citation `Rosenkrantz' on page 649 undefined on input line 1195.



[649]

LaTeX Warning: Citation `Bulmer' on page 650 undefined on input line 1217.


LaTeX Warning: Citation `Feynman' on page 650 undefined on input line 1248.


[650]
[651]
[652]
[653]

LaTeX Warning: Citation `Bulmer' on page 654 undefined on input line 1507.


[654]
[655]

LaTeX Warning: Citation `Papoulis' on page 656 undefined on input line 1604.


[656]
Underfull \vbox (badness 1221) has occurred while \output is active
[657]

LaTeX Warning: Citation `Feynman' on page 658 undefined on input line 1683.


LaTeX Warning: Citation `Box/Muller' on page 658 undefined on input line 1803.


LaTeX Warning: Citation `EWW' on page 658 undefined on input line 1803.


[658]

LaTeX Warning: Citation `libmpfi' on page 659 undefined on input line 1837.


[659]

LaTeX Warning: Citation `Lebedev' on page 660 undefined on input line 1882.


LaTeX Warning: Citation `Andrews' on page 660 undefined on input line 1952.


[660]

LaTeX Warning: Citation `Andrews' on page 661 undefined on input line 1969.


[661]
Underfull \vbox (badness 1320) has occurred while \output is active
[662]
[663])
[664] (./gamma.tex
Chapter 21.

LaTeX Warning: Citation `Lebedev' on page 665 undefined on input line 25.


LaTeX Warning: Citation `Andrews' on page 665 undefined on input line 41.


LaTeX Warning: Citation `A-S' on page 665 undefined on input line 43.


[665]

LaTeX Warning: Citation `G-R' on page 666 undefined on input line 88.


Underfull \hbox (badness 1132) in paragraph at lines 68--89
\OT1/cmr/m/n/10.95 func-tions; par-a-bolic cylin-der func-tions; Meijer's and M
ac-

LaTeX Warning: Citation `WWBell' on page 666 undefined on input line 98.


Underfull \hbox (badness 10000) in paragraph at lines 94--99
\OT1/cmr/m/n/10.95 equa-tions of the form $\OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10
.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 d[]y=dx[] \O
T1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 Q\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95
 x\OT1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 dy=dx \OT1/cmr/m/n/10.95 +

LaTeX Warning: Citation `EWW-web' on page 666 undefined on input line 112.


[666]
[667]

LaTeX Warning: Citation `Brown-conversation' on page 668 undefined on input lin
e 205.


LaTeX Warning: Citation `Lebedev' on page 668 undefined on input line 219.


LaTeX Warning: Citation `Andrews' on page 668 undefined on input line 219.


LaTeX Warning: Citation `A-S' on page 668 undefined on input line 219.


LaTeX Warning: Citation `Sebah-Gourdon' on page 668 undefined on input line 219
.


LaTeX Warning: Citation `Lebedev' on page 668 undefined on input line 238.


[668]

LaTeX Warning: Citation `Lebedev' on page 669 undefined on input line 257.


LaTeX Warning: Citation `Andrews' on page 669 undefined on input line 257.


LaTeX Warning: Citation `A-S' on page 669 undefined on input line 257.


LaTeX Warning: Citation `Andrews' on page 669 undefined on input line 264.


LaTeX Warning: Citation `Andrews' on page 669 undefined on input line 272.


LaTeX Warning: Citation `A-S' on page 669 undefined on input line 272.


LaTeX Warning: Citation `Andrews' on page 669 undefined on input line 297.


[669]

LaTeX Warning: Citation `Lebedev' on page 670 undefined on input line 334.


LaTeX Warning: Citation `Andrews' on page 670 undefined on input line 334.


LaTeX Warning: Citation `A-S' on page 670 undefined on input line 334.


[670]
[671]
[672]

LaTeX Warning: Citation `A-S' on page 673 undefined on input line 547.


LaTeX Warning: Citation `A-S' on page 673 undefined on input line 559.


LaTeX Warning: Citation `A-S' on page 673 undefined on input line 682.


LaTeX Warning: Citation `Lebedev' on page 673 undefined on input line 682.


LaTeX Warning: Citation `Andrews' on page 673 undefined on input line 682.


LaTeX Warning: Citation `Titchmarsh' on page 673 undefined on input line 689.


LaTeX Warning: Citation `Lebedev' on page 673 undefined on input line 689.


[673]
[674 <./main-pics.pdf>]
[675]
[676]

LaTeX Warning: Citation `Lebedev' on page 677 undefined on input line 865.


[677]

LaTeX Warning: Citation `colofred' on page 678 undefined on input line 945.


[678])
[679] (./stub.tex
[680])
[681] (./conclu.tex
[682]
Chapter 22.

LaTeX Warning: Citation `Frege:1879' on page 683 undefined on input line 55.


[683]

LaTeX Warning: Citation `Lotter' on page 684 undefined on input line 65.


[684]

LaTeX Warning: Citation `Feser' on page 685 undefined on input line 162.


LaTeX Warning: Citation `Feser:StTh' on page 685 undefined on input line 162.


LaTeX Warning: Citation `CatholicEncyc' on page 685 undefined on input line 170
.


[685]
[686]
[687]
[688]
[689]
[690]

LaTeX Warning: Citation `Klein' on page 691 undefined on input line 450.

)
[691]
[692]
[693]
[694] (./hex.tex
Appendix A.

LaTeX Warning: Citation `mathbios' on page 695 undefined on input line 54.


[695]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 63.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `\pi' on input line 63.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 63.


LaTeX Warning: Citation `Palais:2001' on page 696 undefined on input line 229.


LaTeX Warning: Citation `Bartholomew' on page 696 undefined on input line 229.


LaTeX Warning: Citation `Lindenberg' on page 696 undefined on input line 229.


[696]
[697]

LaTeX Warning: Citation `Laplace-Ouvres' on page 698 undefined on input line 31
3.


[698])
[699] (./greek.tex
[700]
Appendix B.

[701]
[702])
[703] (./purec.tex
[704]
Appendix C.

[705]

LaTeX Warning: Citation `Hildebrand' on page 706 undefined on input line 62.


LaTeX Warning: Citation `Arnold:1997' on page 706 undefined on input line 62.


LaTeX Warning: Citation `Arnold:1997' on page 706 undefined on input line 73.


[706]

LaTeX Warning: Citation `Arnold:1997' on page 707 undefined on input line 152.


LaTeX Warning: Citation `Hildebrand' on page 707 undefined on input line 154.


[707]
[708])
[709] (./hist.tex
[710]
Appendix D.

[711]

LaTeX Warning: Citation `Feynman' on page 712 undefined on input line 65.


[712]
[713]

LaTeX Warning: Citation `Courant/Hilbert' on page 714 undefined on input line 2
31.


LaTeX Warning: Citation `Jeffreys/Jeffreys' on page 714 undefined on input line
 233.


LaTeX Warning: Citation `Arfken/Weber' on page 714 undefined on input line 234.



LaTeX Warning: Citation `EWW' on page 714 undefined on input line 256.


[714]

LaTeX Warning: Citation `Debian' on page 715 undefined on input line 335.


[715])
[716] (./main.bbl
Underfull \hbox (badness 2582) in paragraph at lines 28--32
\OT1/cmr/m/n/10.95 in-te-grals.  \OT1/cmtt/m/n/10.95 http://www.ntu.edu.sg/home
/mwtang/hypersie.pdf\OT1/cmr/m/n/10.95 ,

[717]
[718]
Underfull \hbox (badness 7186) in paragraph at lines 158--163
\OT1/cmtt/m/n/10.95 Offline/Activities/Alignment/deltatr.html\OT1/cmr/m/n/10.95
 .  As re-trieved

[719]

LaTeX Warning: Citation `Phillips/Parr' on page 720 undefined on input line 228
.


[720]

LaTeX Warning: Citation `wikip' on page 721 undefined on input line 306.


Underfull \hbox (badness 10000) in paragraph at lines 336--341
[]\OT1/cmr/m/n/10.95 Harvard Uni-ver-sity (au-thor un-known).  Math 21B re-

Underfull \hbox (badness 10000) in paragraph at lines 336--341
\OT1/cmr/m/n/10.95 view.  \OT1/cmtt/m/n/10.95 http://www.math.harvard.edu/archi
ve/21b_fall_03/

LaTeX Warning: Citation `Tymoczko' on page 721 undefined on input line 354.


[721]
[722]
[723]
[724]
Underfull \hbox (badness 5446) in paragraph at lines 596--601
[]\OT1/cmr/m/n/10.95 Reed Col-lege (au-thor un-known).  Levi-Civita sym-bol, le
c-

Underfull \hbox (badness 10000) in paragraph at lines 649--653
\OT1/cmr/m/n/10.95 func-tion.  \OT1/cmtt/m/n/10.95 http://numbers.computation.f
ree.fr/Constants/

[725]
[726]
Underfull \hbox (badness 10000) in paragraph at lines 760--765
\OT1/cmr/m/n/10.95 2012 from \OT1/cmtt/m/n/10.95 http://logica.ugent.be/philoso
phica/fulltexts/

Underfull \hbox (badness 10000) in paragraph at lines 767--773
\OT1/cmtt/m/n/10.95 colorado.edu/amath/sites/default/files/attached-files/

[727]

LaTeX Warning: Citation `Bell/Korte' on page 728 undefined on input line 831.


LaTeX Warning: Citation `wikip' on page 728 undefined on input line 851.


[728])
[729]
[730]
No file main.ind.
(./main.aux (./sphere.aux) (./pref.aux) (./intro.aux) (./alggeo.aux)
(./trig.aux) (./drvtv.aux) (./cexp.aux) (./noth.aux) (./integ.aux)
(./taylor.aux) (./inttx.aux) (./cubic.aux) (./matrix.aux) (./gjrank.aux)
(./mtxinv.aux) (./eigen.aux) (./vector.aux) (./vcalc.aux) (./fours.aux)
(./fouri.aux) (./lapl.aux) (./prob.aux) (./gamma.aux) (./stub.aux)
(./conclu.aux) (./hex.aux) (./greek.aux) (./purec.aux) (./hist.aux))

LaTeX Warning: There were undefined references.


LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right.

 )
(see the transcript file for additional information)
pdfTeX warning (dest): name{figure.15.4} has been referenced but does not exist
, replaced by a fixed one

 </tmp/texfonts/pk/ljfour/jknappen/ec/tcti1095.600pk> </tmp/texfonts/pk/ljfour/
jknappen/ec/tcrm0900.600pk> </tmp/texfonts/pk/ljfour/jknappen/ec/tcrm1095.600pk
></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx10.pfb></usr
/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb></usr/share
/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx6.pfb></usr/share/texliv
e/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx8.pfb></usr/share/texlive/texmf
-dist/fonts/type1/public/amsfonts/cm/cmbx9.pfb></usr/share/texlive/texmf-dist/f
onts/type1/public/amsfonts/cm/cmcsc10.pfb></usr/share/texlive/texmf-dist/fonts/
type1/public/amsfonts/cm/cmex10.pfb></usr/share/texlive/texmf-dist/fonts/type1/
public/amsfonts/cmextra/cmex8.pfb></usr/share/texlive/texmf-dist/fonts/type1/pu
blic/amsfonts/cmextra/cmex9.pfb></usr/share/texlive/texmf-dist/fonts/type1/publ
ic/amsfonts/cm/cmmi10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/ams
fonts/cm/cmmi12.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/
cm/cmmi5.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi
6.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi7.pfb><
/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi8.pfb></usr/sh
are/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi9.pfb></usr/share/tex
live/texmf-dist/fonts/type1/public/amsfonts/cm/cmmib10.pfb></usr/share/texlive/
texmf-dist/fonts/type1/public/amsfonts/cmextra/cmmib8.pfb></usr/share/texlive/t
exmf-dist/fonts/type1/public/amsfonts/cmextra/cmmib9.pfb></usr/share/texlive/te
xmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb></usr/share/texlive/texmf-dis
t/fonts/type1/public/amsfonts/cm/cmr12.pfb></usr/share/texlive/texmf-dist/fonts
/type1/public/amsfonts/cm/cmr17.pfb></usr/share/texlive/texmf-dist/fonts/type1/
public/amsfonts/cm/cmr5.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/a
msfonts/cm/cmr6.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/
cm/cmr7.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr8.
pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr9.pfb></us
r/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsl10.pfb></usr/shar
e/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmss9.pfb></usr/share/texli
ve/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb></usr/share/texlive/tex
mf-dist/fonts/type1/public/amsfonts/cm/cmsy5.pfb></usr/share/texlive/texmf-dist
/fonts/type1/public/amsfonts/cm/cmsy6.pfb></usr/share/texlive/texmf-dist/fonts/
type1/public/amsfonts/cm/cmsy7.pfb></usr/share/texlive/texmf-dist/fonts/type1/p
ublic/amsfonts/cm/cmsy8.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/a
msfonts/cm/cmsy9.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts
/cm/cmti10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cm
ti8.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmti9.pfb
></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmtt10.pfb></usr
/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmtt9.pfb></usr/share/
texlive/texmf-dist/fonts/type1/public/amsfonts/symbols/msam10.pfb></usr/share/t
exlive/texmf-dist/fonts/type1/public/amsfonts/symbols/msbm10.pfb></usr/share/te
xlive/texmf-dist/fonts/type1/public/rsfs/rsfs10.pfb></usr/share/texlive/texmf-d
ist/fonts/type1/public/rsfs/rsfs5.pfb>
Output written on main.pdf (760 pages, 2929317 bytes).
Transcript written on main.log.
makeindex main.idx
This is makeindex, version 2.17 [TeX Live 2025/dev] (kpathsea + Thai support).
Scanning input file main.idx.......done (3874 entries accepted, 0 rejected).
Sorting entries.....................................done (49891 comparisons).
Generating output file main.ind.......done (3325 lines written, 0 warnings).
Output written in main.ind.
Transcript written in main.ilg.
pdflatex -shell-restricted main.tex
This is pdfTeX, Version 3.141592653-2.6-1.40.26 (TeX Live 2025/dev/Debian) (preloaded format=pdflatex)
 restricted \write18 enabled.
entering extended mode
(./main.tex
LaTeX2e <2024-11-01>
L3 programming layer <2024-11-02>
(./derivations-book.cls
Document Class: derivations-book 2024/06/29 v1.4n Standard LaTeX document class

(/usr/share/texlive/texmf-dist/tex/latex/base/bk11.clo)) (./thb.sty
(/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty)
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty))
(/usr/share/texlive/texmf-dist/tex/latex/jknapltx/mathrsfs.sty)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty)
(/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def)))
(/usr/share/texlive/texmf-dist/tex/latex/pst-plot/pst-plot.sty
(/usr/share/texlive/texmf-dist/tex/latex/pstricks/pstricks.sty
(/usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty)
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/mathcolor.ltx))
(/usr/share/texlive/texmf-dist/tex/generic/xkeyval/pst-xkey.tex
(/usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty
(/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkeyval.tex
(/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkvutils.tex))))
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.tex
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pst-fp.tex
`pst-fp' v0.06, 2020/11/20 (hv))
(/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty
(/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex)))
(/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeyslibraryfiltered
.code.tex))) (/usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code
.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonomet
ric.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.cod
e.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison
.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.
tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code
.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.
tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerari
thmetics.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex)))
(/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex))
`PSTricks' v3.20  <2024/07/09> (tvz,hv)
--- We are running latex or xelatex ---
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.con)
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks-color.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks-arrows.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks-dots.tex)
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.con))
(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pst-fp.tex
`pst-fp' v0.06, 2020/11/20 (hv)))
(/usr/share/texlive/texmf-dist/tex/latex/xkeyval/pst-xkey.sty)
(/usr/share/texlive/texmf-dist/tex/latex/multido/multido.sty
(/usr/share/texlive/texmf-dist/tex/generic/multido/multido.tex
 v1.42, 2010/05/14 <tvz>))
(/usr/share/texlive/texmf-dist/tex/generic/pst-plot/pst-plot.tex
(/usr/share/texlive/texmf-dist/tex/generic/pst-tools/pst-tools.tex
`PST-tools' v0.12, 2021/09/23 (hv))
(/usr/share/texlive/texmf-dist/tex/generic/pstricks-add/pstricks-add.tex
(/usr/share/texlive/texmf-dist/tex/generic/pst-node/pst-node.tex
 v1.45, 2024/07/10)
(/usr/share/texlive/texmf-dist/tex/generic/pst-arrow/pst-arrow.tex
`pst-arrow' v0.05, 2021/11/16 (dr,hv))
(/usr/share/texlive/texmf-dist/tex/generic/pst-3d/pst-3d.tex
`PST-3d' v1.11, 2010/02/14 (tvz))
(/usr/share/texlive/texmf-dist/tex/generic/pst-math/pst-math.tex
`pst-math' v0.67 , (CJ,hv)) `pstricks-add' v3.94, 2023/04/17 (dr,hv))
 v1.94, 2022/11/21 (tvz,hv)))
(/usr/share/texlive/texmf-dist/tex/latex/base/makeidx.sty))

LaTeX Warning: \include should only be used after \begin{document} on input lin
e 6.

(./dobuilddraft.tex)

LaTeX Warning: \include should only be used after \begin{document} on input lin
e 7.

(./dobuildpstonly.tex)
(/usr/share/texlive/texmf-dist/tex/latex/pst-pdf/pst-pdf.sty
(/usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty)
(/usr/share/texlive/texmf-dist/tex/generic/iftex/ifxetex.sty)
(/usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty)
(/usr/share/texlive/texmf-dist/tex/generic/luatex85/luatex85.sty)
(/usr/share/texmf/tex/latex/preview/preview.sty)
(/usr/share/texlive/texmf-dist/tex/latex/environ/environ.sty
(/usr/share/texlive/texmf-dist/tex/latex/trimspaces/trimspaces.sty)))
Writing index file main.idx
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty
(/usr/share/texlive/texmf-dist/tex/latex/kvsetkeys/kvsetkeys.sty)
(/usr/share/texlive/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty)
(/usr/share/texlive/texmf-dist/tex/generic/pdfescape/pdfescape.sty
(/usr/share/texlive/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty)
(/usr/share/texlive/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty
(/usr/share/texlive/texmf-dist/tex/generic/infwarerr/infwarerr.sty)))
(/usr/share/texlive/texmf-dist/tex/latex/hycolor/hycolor.sty)
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty
(/usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty)
(/usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty
(/usr/share/texlive/texmf-dist/tex/latex/kvoptions/kvoptions.sty)))
(/usr/share/texlive/texmf-dist/tex/latex/etoolbox/etoolbox.sty)
(/usr/share/texlive/texmf-dist/tex/generic/stringenc/stringenc.sty)
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def)
(/usr/share/texlive/texmf-dist/tex/generic/intcalc/intcalc.sty)
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/puenc.def)
(/usr/share/texlive/texmf-dist/tex/latex/url/url.sty)
(/usr/share/texlive/texmf-dist/tex/generic/bitset/bitset.sty
(/usr/share/texlive/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty))
(/usr/share/texlive/texmf-dist/tex/latex/base/atbegshi-ltx.sty))
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def
(/usr/share/texlive/texmf-dist/tex/latex/base/atveryend-ltx.sty)
(/usr/share/texlive/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty
(/usr/share/texlive/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty)))
(/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def)
(./main.aux (./sphere.aux) (./pref.aux) (./intro.aux) (./alggeo.aux)
(./trig.aux) (./drvtv.aux) (./cexp.aux) (./noth.aux) (./integ.aux)
(./taylor.aux) (./inttx.aux) (./cubic.aux) (./matrix.aux) (./gjrank.aux)
(./mtxinv.aux) (./eigen.aux) (./vector.aux) (./vcalc.aux) (./fours.aux)
(./fouri.aux) (./lapl.aux) (./prob.aux) (./gamma.aux) (./stub.aux)
(./conclu.aux) (./hex.aux) (./greek.aux) (./purec.aux) (./hist.aux))
(/usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii
[Loading MPS to PDF converter (version 2006.09.02).]
)
Preview: Fontsize 10.95pt
Preview: PDFoutput 1
(./main.out) (./main.out) (./sphere.tex)
(/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd)
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd)
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd)
(/usr/share/texlive/texmf-dist/tex/latex/jknapltx/ursfs.fd)
[1
Non-PDF special ignored!
<special> header=pstricks.pro
Non-PDF special ignored!
<special> header=pst-algparser.pro
Non-PDF special ignored!
<special> header=pst-tools.pro
Non-PDF special ignored!
<special> header=pst-dots.pro
Non-PDF special ignored!
<special> header=pst-node.pro
Non-PDF special ignored!
<special> header=pst-3d.pro
Non-PDF special ignored!
<special> header=pst-math.pro
Non-PDF special ignored!
<special> header=pstricks-add.pro
Non-PDF special ignored!
<special> ps: /pssetRGBcolor /setrgbcolor load def /pssetCMYKcolor /setcmyk...
Non-PDF special ignored!
<special> ps:tx@Dict begin  gsave STV CP T /ps@rot 0 def grestore  end
Non-PDF special ignored!
<special> ps:tx@Dict begin  gsave STV CP T /ps@refangle 0.  def grestore  e...
Non-PDF special ignored!
<special> ps:tx@Dict begin  gsave STV CP T /ps@rot 0 def grestore  end
{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}]
[2] (./main.toc
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14])
[15]
[16] (./main.lot
[17])
[18] (./main.lof
[19]
[20])
[21] (./pref.tex
[22]
[23]
[24]
[25]
[26]
[27]
Underfull \vbox (badness 1418) has occurred while \output is active
[28])
[29]
[30] (./intro.tex
Chapter 1.

[1 <./main-pics.pdf>]
[2 <./main-pics.pdf>]
[3]
[4]
[5]
Underfull \vbox (badness 10000) has occurred while \output is active
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14 <./main-pics.pdf>]
[15])
[16]
[17]
[18] (./alggeo.tex
Chapter 2.

[19]
[20 <./main-pics.pdf>]
Underfull \vbox (badness 2538) has occurred while \output is active
[21]
[22]
[23]
[24]
[25]
[26]
[27]
[28]
[29]
[30]
[31]
[32]
[33]
Overfull \vbox (0.58911pt too high) has occurred while \output is active
[34]
[35]
[36]
[37]
[38]
[39]
Underfull \vbox (badness 10000) has occurred while \output is active
[40]
[41]
[42]
[43]
[44]
[45]
[46]
[47]
[48]
[49]
[50 <./main-pics.pdf>]
[51 <./main-pics.pdf>]
[52]
Underfull \vbox (badness 10000) has occurred while \output is active
[53 <./main-pics.pdf>]
[54]
[55]
[56]
[57 <./main-pics.pdf>]
[58]
[59 <./main-pics.pdf>]
[60]
[61]
[62]
[63])
[64] (./trig.tex
Chapter 3.

[65]
[66 <./main-pics.pdf>]
[67 <./main-pics.pdf>]
[68]
[69 <./main-pics.pdf>]
[70 <./main-pics.pdf>]
[71]
[72]
[73 <./main-pics.pdf>]
[74]
Underfull \vbox (badness 5637) has occurred while \output is active
[75]
[76]
[77 <./main-pics.pdf>]
[78 <./main-pics.pdf>]
[79]
[80 <./main-pics.pdf>]
[81]
[82]
[83]
[84 <./main-pics.pdf>]
[85]
[86]
[87])
[88] (./drvtv.tex
Chapter 4.

Underfull \vbox (badness 1077) has occurred while \output is active
[89]
[90]
[91]
[92]
[93]
[94]
Underfull \vbox (badness 10000) has occurred while \output is active
[95]
[96]
[97]
[98]
[99]
[100]
[101]
[102]
[103]
[104]
[105]
[106]
[107]
[108]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1430.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `superscript' on input line 1430.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1430.


[109]
[110]
Underfull \vbox (badness 10000) has occurred while \output is active
[111]
[112]
[113]
[114]
[115 <./main-pics.pdf>]
Underfull \vbox (badness 5667) has occurred while \output is active
[116 <./main-pics.pdf>]
[117]
Underfull \vbox (badness 1603) has occurred while \output is active
[118]
[119 <./main-pics.pdf>]
[120])
[121] (./cexp.tex
[122]
Chapter 5.

[123]
[124]
[125]
[126 <./main-pics.pdf>]
[127]
[128 <./main-pics.pdf>]
[129]
[130]
[131]
[132 <./main-pics.pdf>]
[133]
[134]
[135]
[136]
[137]
[138]
[139]
[140 <./main-pics.pdf>]
[141]
[142]
[143]
Underfull \vbox (badness 1062) has occurred while \output is active
[144]
Underfull \hbox (badness 2951) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 varying elec-tric cur-rent of $(5\OML/cmm/m/it/9 :\OT1/cmr/m/n/9
 0 []) []\OMS/cmsy/m/n/9 f\OT1/cmr/m/n/9 +\OML/cmm/m/it/9 i\OT1/cmr/m/n/9 (60 [
][])2\OML/cmm/m/it/9 ^^Yt\OMS/cmsy/m/n/9 g$\OT1/cmr/m/n/9 , an elec-tric ca-

Underfull \hbox (badness 2103) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 pac-i-tor de-vel-ops a voltage---that is, de-vel-ops an elec-tri
c ten-sion or potential---

Underfull \hbox (badness 7116) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 of $(40 []) []\OMS/cmsy/m/n/9 f\OT1/cmr/m/n/9 +\OML/cmm/m/it/9 i
\OT1/cmr/m/n/9 [(60 [][])2\OML/cmm/m/it/9 ^^Yt \OMS/cmsy/m/n/9 ^^@ \OT1/cmr/m/n
/9 2\OML/cmm/m/it/9 ^^Y=\OT1/cmr/m/n/9 4]\OMS/cmsy/m/n/9 g$\OT1/cmr/m/n/9 . It 
im-me-di-ately fol-lows, with-

Underfull \hbox (badness 2591) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 out fur-ther anal-y-sis, that the same ca-pac-i-tor, if fed by a
 time-varying elec-

Underfull \hbox (badness 1681) in paragraph at lines 1485--1485
\OT1/cmr/m/n/9 tric cur-rent of $(5\OML/cmm/m/it/9 :\OT1/cmr/m/n/9 0 []) []\OMS
/cmsy/m/n/9 f^^@\OML/cmm/m/it/9 i\OT1/cmr/m/n/9 (60 [][])2\OML/cmm/m/it/9 ^^Yt\
OMS/cmsy/m/n/9 g$\OT1/cmr/m/n/9 , would de-velop a volt-age of

[145])
[146] (./noth.tex
Chapter 6.

[147]
[148]
[149]
[150]
[151]
[152]
[153]
Underfull \vbox (badness 10000) has occurred while \output is active
[154]
[155]
[156]
[157]
[158]
[159])
[160] (./integ.tex
Chapter 7.

[161]
[162 <./main-pics.pdf>]
[163]
Underfull \vbox (badness 1527) has occurred while \output is active
[164 <./main-pics.pdf>]
[165]
[166 <./main-pics.pdf>]
[167]
Underfull \hbox (badness 5607) in paragraph at lines 635--638
[]\OT1/cmr/m/n/10.95 As an ex-am-ple of the for-mula's use, con-sider that be-c
ause

[168 <./main-pics.pdf>]
[169]
[170]
[171]
[172]
[173]
[174]
[175]
[176 <./main-pics.pdf>]
[177]
[178]
[179 <./main-pics.pdf>]
[180 <./main-pics.pdf>]
[181]
[182 <./main-pics.pdf> <./main-pics.pdf>]
[183]
[184]
[185]
[186 <./main-pics.pdf>]
[187 <./main-pics.pdf>]
[188 <./main-pics.pdf>]
[189])
[190] (./taylor.tex
Chapter 8.

[191]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 59.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `superscript' on input line 59.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 59.


[192]
[193]
[194]
[195]
[196]
[197]
[198]
Underfull \vbox (badness 10000) has occurred while \output is active
[199]
[200]
[201]
[202]
[203]
Underfull \vbox (badness 1152) has occurred while \output is active
[204 <./main-pics.pdf>]
[205 <./main-pics.pdf>]
[206]
Underfull \vbox (badness 10000) has occurred while \output is active
[207]
[208]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1193.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1193.


[209]
[210 <./main-pics.pdf>]
[211]
[212]
[213]
[214 <./main-pics.pdf>]
[215]
Underfull \vbox (badness 1648) has occurred while \output is active
[216]
[217]
[218]
[219]
[220]
[221 <./main-pics.pdf>]
[222]
[223]
[224]
[225]
[226]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2358.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `\pi' on input line 2358.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2358.


[227]
[228]
[229]
[230]
[231]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2694.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2694.


[232]
[233]
[234])
[235] (./inttx.tex
[236]
Chapter 9.

[237]
[238]
[239]
[240]
[241]
[242]
[243]
[244]
[245 <./main-pics.pdf>]
[246]
Underfull \vbox (badness 10000) has occurred while \output is active
[247]
[248]
[249]
[250]
[251]
Underfull \vbox (badness 10000) has occurred while \output is active
[252]
[253]
Underfull \vbox (badness 10000) has occurred while \output is active
[254]
[255]
[256]
[257]
[258]
[259]
[260]
Underfull \vbox (badness 3746) has occurred while \output is active
[261]
[262]
[263]
[264]
[265]
[266])
[267] (./cubic.tex
[268]
Chapter 10.

[269]
[270]
[271 <./main-pics.pdf>]
[272]
[273]
[274]
[275]
Underfull \vbox (badness 5652) has occurred while \output is active
[276]
[277]
[278]
[279]
[280]
[281])
[282]
[283]
[284] (./matrix.tex
Chapter 11.

[285]
[286]
Underfull \vbox (badness 10000) has occurred while \output is active
[287]
[288]
[289]
[290]
[291]
[292]
[293]
[294]
[295]
[296]
[297]
[298]
[299]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1005.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1005.


[300]
[301]
[302]
[303]
[304]
[305]
[306]
[307]
[308]
[309]
[310]
[311]
Underfull \vbox (badness 7667) has occurred while \output is active
[312]
[313]
Underfull \vbox (badness 1052) has occurred while \output is active
[314]
[315]
Underfull \vbox (badness 10000) has occurred while \output is active
[316]
Underfull \vbox (badness 1412) has occurred while \output is active
[317]
[318]
[319]
[320]
Underfull \vbox (badness 10000) has occurred while \output is active
[321]
[322]
Underfull \vbox (badness 10000) has occurred while \output is active
[323]
[324]
[325]
Underfull \vbox (badness 10000) has occurred while \output is active
[326]
[327]
[328])
[329] (./gjrank.tex
[330]
Chapter 12.

[331]
[332]
[333]
[334]
[335]
[336]
Underfull \vbox (badness 10000) has occurred while \output is active
[337]
[338]
[339]
[340]
Underfull \vbox (badness 10000) has occurred while \output is active
[341]
Underfull \vbox (badness 2591) has occurred while \output is active
[342]
[343]
[344]
[345]
Underfull \vbox (badness 1990) has occurred while \output is active
[346]
[347]
[348]
[349]
[350]
[351]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1297.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `subscript' on input line 1297.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1297.


[352]
[353]
[354]
[355]
[356]
[357]
[358]
[359]
[360]
[361]
[362]
[363]
[364]
[365]
[366]
[367]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2323.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2323.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2323.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 2323.


[368]
[369]
[370])
[371] (./mtxinv.tex
[372]
Chapter 13.

[373]
Underfull \vbox (badness 10000) has occurred while \output is active
[374]
Underfull \vbox (badness 1968) has occurred while \output is active
[375]
[376]
[377]
[378]
[379]
[380]
[381]
[382]
[383]
[384]
[385]
Underfull \vbox (badness 10000) has occurred while \output is active
[386]
[387]
[388]
[389]
[390]
[391 <./main-pics.pdf, page is rotated 90 degrees>]
[392]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1424.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `superscript' on input line 1424.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1424.


[393]
[394]
[395]
[396]
[397]
[398]
[399]
[400]
[401]
[402]
[403]
[404]
[405]
[406]
[407]
[408]
[409]
[410]
[411]
[412]
[413]
[414])
[415] (./eigen.tex
[416]
Chapter 14.

[417]
[418]
[419]
[420]
[421]
[422]
[423]
[424]
[425]
[426]
[427]
[428]
[429]
[430]
[431]
[432]
[433]
[434]
[435]
[436]
Underfull \vbox (badness 3646) has occurred while \output is active
[437]
[438]
Underfull \vbox (badness 10000) has occurred while \output is active
[439]
[440]
[441]
[442]
[443]
[444]
[445]
[446]
[447]
[448]
[449]
[450]
[451])
[452] (./vector.tex
Chapter 15.

[453]
[454 <./main-pics.pdf>]
[455]
[456]
[457]
[458]
[459]
Underfull \vbox (badness 10000) has occurred while \output is active
[460 <./main-pics.pdf>]
[461]
[462]
[463 <./main-pics.pdf>]
[464]
[465]
[466 <./main-pics.pdf> <./main-pics.pdf> <./main-pics.pdf> <./main-pics.pdf>]
[467 <./main-pics.pdf>]
[468]
[469]
[470]
[471]
Underfull \vbox (badness 1137) has occurred while \output is active
[472]
[473]
Underfull \vbox (badness 10000) has occurred while \output is active
[474]
Underfull \vbox (badness 10000) has occurred while \output is active
[475]
[476]
[477]
[478 <./main-pics.pdf>]
[479]
[480]
[481]
[482 <./main-pics.pdf>]
[483]
[484 <./main-pics.pdf> <./main-pics.pdf>]
[485]
[486]
[487]
[488])
[489] (./vcalc.tex
[490]
Chapter 16.

[491]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 134.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `\nabla' on input line 134.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 134.


[492]
[493]
[494]
[495]
[496]
[497]
[498]
[499]
[500]
[501]
Underfull \vbox (badness 1215) has occurred while \output is active
[502]
[503]
[504]
[505]
Underfull \vbox (badness 10000) has occurred while \output is active
[506]
[507]
Underfull \vbox (badness 1194) has occurred while \output is active
[508]
[509]
Underfull \vbox (badness 10000) has occurred while \output is active
[510]
[511]
[512]
[513]
[514]
[515]
[516]
[517]
[518]
[519]
[520]
[521]
[522]
[523]
Underfull \vbox (badness 10000) has occurred while \output is active
[524]
[525]
[526]
[527]
Underfull \vbox (badness 5862) has occurred while \output is active
[528]
[529])
[530]
[531]
[532] (./fours.tex
Chapter 17.

[533 <./main-pics.pdf>]
Underfull \vbox (badness 10000) has occurred while \output is active
[534]
[535 <./main-pics.pdf>]
[536]
[537]
[538]
[539]
[540]
[541]
[542 <./main-pics.pdf>]
[543]
Underfull \vbox (badness 10000) has occurred while \output is active
[544 <./main-pics.pdf> <./main-pics.pdf> <./main-pics.pdf>]
[545]
[546 <./main-pics.pdf>]
[547 <./main-pics.pdf>]
[548]
Underfull \vbox (badness 10000) has occurred while \output is active
[549]
[550]
[551 <./main-pics.pdf>]
[552 <./main-pics.pdf>]
[553]
[554]
Underfull \vbox (badness 10000) has occurred while \output is active
[555]
[556]
[557]
Underfull \vbox (badness 1142) has occurred while \output is active
[558 <./main-pics.pdf>]
[559]
[560]
[561 <./main-pics.pdf>]
[562 <./main-pics.pdf>]
[563]
[564 <./main-pics.pdf>]
[565]
[566]
[567 <./main-pics.pdf>]
[568]
[569]
[570])
[571 <./main-pics.pdf>] (./fouri.tex
[572]
Chapter 18.

[573 <./main-pics.pdf>]
[574]
[575]
[576 <./main-pics.pdf>]
[577]
[578]
[579]
[580]
[581]
[582]
Underfull \hbox (badness 6559) in paragraph at lines 1096--1109
\OT1/cmr/m/n/10.95 ac-cord-ing to eqn. []18.4[] we would have found the pair $1
 []

[583]
[584]
[585]
[586]
[587]
[588]
[589]
[590]
[591]
[592]
[593]
[594]
[595]
[596]
[597]
[598]
[599]
[600]
[601]
[602]
[603]
[604])
[605]
[606] (./lapl.tex
Chapter 19.

[607]
[608]
[609 <./main-pics.pdf>]
[610]
[611]
[612]
[613 <./main-pics.pdf>]
[614 <./main-pics.pdf>]
[615]
[616 <./main-pics.pdf>]
[617 <./main-pics.pdf>]
Underfull \vbox (badness 10000) has occurred while \output is active
[618 <./main-pics.pdf>]
[619]
[620]
[621]
Underfull \hbox (badness 2173) in paragraph at lines 1485--1485
[][][]\OT1/cmr/m/n/9 Actually, for-mally, Laplace does sup-port an in-verse tra
ns-for-ma-tion for-mula,

[622]
[623]
[624]
[625]
Underfull \vbox (badness 10000) has occurred while \output is active
[626]
Underfull \vbox (badness 5064) has occurred while \output is active
[627])
[628]
[629]
[630] (./prob.tex
Chapter 20.

[631]
[632]
[633]
[634]
[635]
[636]
[637]
[638]
[639]
[640]
[641]
[642 <./main-pics.pdf>]
Underfull \vbox (badness 10000) has occurred while \output is active
[643]
[644]
[645]
Underfull \vbox (badness 10000) has occurred while \output is active
[646]
[647]
[648]
[649]
[650]
[651]
[652]
[653]
[654]
[655]
[656]
Underfull \vbox (badness 1221) has occurred while \output is active
[657]
[658]
[659]
[660]
[661]
Underfull \vbox (badness 1320) has occurred while \output is active
[662]
[663])
[664] (./gamma.tex
Chapter 21.

[665]
Underfull \hbox (badness 1132) in paragraph at lines 68--89
\OT1/cmr/m/n/10.95 func-tions; par-a-bolic cylin-der func-tions; Meijer's and M
ac-

Underfull \hbox (badness 10000) in paragraph at lines 94--99
\OT1/cmr/m/n/10.95 equa-tions of the form $\OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10
.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 d[]y=dx[] \O
T1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 Q\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95
 x\OT1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 dy=dx \OT1/cmr/m/n/10.95 +

[666]
[667]
[668]
[669]
[670]
[671]
[672]
[673]
[674 <./main-pics.pdf>]
[675]
[676]
[677]
[678])
[679] (./stub.tex
[680])
[681] (./conclu.tex
[682]
Chapter 22.

[683]
[684]
[685]
[686]
[687]
[688]
[689]
[690])
[691]
[692]
[693]
[694] (./hex.tex
Appendix A.

[695]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 63.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `\pi' on input line 63.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 63.


[696]
[697]
[698])
[699] (./greek.tex
[700]
Appendix B.

[701]
[702])
[703] (./purec.tex
[704]
Appendix C.

[705]
[706]
[707]
[708])
[709] (./hist.tex
[710]
Appendix D.

[711]
[712]
[713]
[714]
[715])
[716] (./main.bbl
Underfull \hbox (badness 2582) in paragraph at lines 28--32
\OT1/cmr/m/n/10.95 in-te-grals.  \OT1/cmtt/m/n/10.95 http://www.ntu.edu.sg/home
/mwtang/hypersie.pdf\OT1/cmr/m/n/10.95 ,

[717]
[718]
Underfull \hbox (badness 7186) in paragraph at lines 158--163
\OT1/cmtt/m/n/10.95 Offline/Activities/Alignment/deltatr.html\OT1/cmr/m/n/10.95
 .  As re-trieved

[719]
[720]
Underfull \hbox (badness 10000) in paragraph at lines 336--341
[]\OT1/cmr/m/n/10.95 Harvard Uni-ver-sity (au-thor un-known).  Math 21B re-

Underfull \hbox (badness 10000) in paragraph at lines 336--341
\OT1/cmr/m/n/10.95 view.  \OT1/cmtt/m/n/10.95 http://www.math.harvard.edu/archi
ve/21b_fall_03/

[721]
[722]
[723]
[724]
Underfull \hbox (badness 5446) in paragraph at lines 596--601
[]\OT1/cmr/m/n/10.95 Reed Col-lege (au-thor un-known).  Levi-Civita sym-bol, le
c-

[725]
Underfull \hbox (badness 10000) in paragraph at lines 649--653
\OT1/cmr/m/n/10.95 func-tion.  \OT1/cmtt/m/n/10.95 http://numbers.computation.f
ree.fr/Constants/

[726]
Underfull \hbox (badness 10000) in paragraph at lines 760--765
\OT1/cmr/m/n/10.95 2012 from \OT1/cmtt/m/n/10.95 http://logica.ugent.be/philoso
phica/fulltexts/

Underfull \hbox (badness 10000) in paragraph at lines 767--773
\OT1/cmtt/m/n/10.95 colorado.edu/amath/sites/default/files/attached-files/

[727]
[728])
[729]
[730] (./main.ind

[731]

Overfull \hbox (1.13925pt too wide) in paragraph at lines 128--129
[]| \OT1/cmr/m/n/10 im-ple-men-ta-tion of from an equa-tion,

[732]

[733]

Overfull \hbox (1.25027pt too wide) in paragraph at lines 325--327
[]| \OT1/cmr/m/n/10 the two com-ple-men-tary ques-tions of,

Overfull \hbox (0.18097pt too wide) in paragraph at lines 329--331
[]\OT1/cmr/m/n/10 Cantor, Georg (1845--1918), []11[], []105[], []555[],

Overfull \hbox (0.25027pt too wide) in paragraph at lines 339--340
[]\OT1/cmr/m/n/10 Cauchy's im-pressed residue the-o-rem, []706[] 

Overfull \hbox (5.41708pt too wide) in paragraph at lines 341--343
[]\OT1/cmr/m/n/10 Cauchy, Au-gustin Louis (1789--1857), []209[],

[734]

Overfull \hbox (1.77815pt too wide) in paragraph at lines 422--423
[]| \OT1/cmr/m/n/10 sum-ma-tional and in-te-grod-if-fer-en-tial,

[735]
Overfull \hbox (8.4448pt too wide) in paragraph at lines 465--466
[]| \OT1/cmr/m/n/10 pseudorandom-number gen-er-a-tor, []653[] 


Overfull \hbox (1.77818pt too wide) in paragraph at lines 496--497
[]\OT1/cmr/m/n/10 construction of an ar-bi-trary func-tion, []617[] 

[736]

[737]
Overfull \hbox (1.40306pt too wide) in paragraph at lines 653--655
\OT1/cmr/m/n/10 Schmidt and Gauss-Jordan, []411[] 

Overfull \hbox (4.22253pt too wide) in paragraph at lines 665--666
[]| \OT1/cmr/m/n/10 to rep-re-sent the gamma func-tion, []668[] 


[738]

Overfull \hbox (4.69363pt too wide) in paragraph at lines 768--769
[]\OT1/cmr/m/n/10 DFSG (De-bian Free Soft-ware Guide-lines),

Overfull \hbox (1.97255pt too wide) in paragraph at lines 783--784
[]| \OT1/cmr/m/n/10 so-lu-tion of by the Laplace trans-form,

[739]
Overfull \hbox (0.40305pt too wide) in paragraph at lines 815--817
[]\OT1/cmr/m/n/10 Dirichlet, J. Pe-ter Gus-tav Leje-une (1805-


Overfull \hbox (0.94482pt too wide) in paragraph at lines 879--880
[]\OT1/cmr/m/n/10 downward mul-ti-tar-get ad-di-tion op-er-a-tor,

[740]
Overfull \hbox (7.41707pt too wide) in paragraph at lines 927--929
[]\OT1/cmr/m/n/10 Einstein's sum-ma-tion con-ven-tion, []471[], []514[] 


Overfull \hbox (3.50041pt too wide) in paragraph at lines 958--959
[]\OT1/cmr/m/n/10 elementary sim-i-lar-ity trans-for-ma-tion, []334[] 

[741]

Overfull \hbox (2.86142pt too wide) in paragraph at lines 1043--1044
[]| \OT1/cmr/m/n/10 in-te-grat-ing a prod-uct of a power and,

[742]
Overfull \hbox (6.80588pt too wide) in paragraph at lines 1106--1107
[]| \OT1/cmr/m/n/10 de-riv-a-tive of, in spher-i-cal co-or-di-nates,


[743]
Overfull \hbox (2.63916pt too wide) in paragraph at lines 1184--1185
[]| \OT1/cmr/m/n/10 of a func-tion whose ar-gu-ment is com-


[744]
Overfull \hbox (1.0559pt too wide) in paragraph at lines 1271--1273
[]| \OT1/cmr/m/n/10 single- and multiple-valued, []201[], []203[] 

Overfull \hbox (7.30586pt too wide) in paragraph at lines 1292--1293
[]| \OT1/cmr/m/n/10 def-i-nite in-te-gral rep-re-sen-ta-tion of, []668[] 

Overfull \hbox (0.11139pt too wide) in paragraph at lines 1318--1319
[]| \OT1/cmr/m/n/10 to im-ple-ment the Dirac delta by, []604[] 


Overfull \hbox (0.65314pt too wide) in paragraph at lines 1353--1354
[]\OT1/cmr/m/n/10 Gram, J^^\rgen Ped-er-sen (1850--1916), []406[] 

[745]

Overfull \hbox (4.22255pt too wide) in paragraph at lines 1421--1422
[]| \OT1/cmr/m/n/10 in-verse, in com-plex ex-po-nen-tial form,

[746]
Overfull \hbox (3.25029pt too wide) in paragraph at lines 1454--1455
[]\OT1/cmr/m/n/10 impressed residue the-o-rem, Cauchy's, []706[] 


[747]
Overfull \hbox (4.22253pt too wide) in paragraph at lines 1559--1560
[]| \OT1/cmr/m/n/10 to rep-re-sent the gamma func-tion, []668[] 


Overfull \hbox (4.33366pt too wide) in paragraph at lines 1619--1622
[]\OT1/cmr/m/n/10 invariance un-der the re-ori-en-ta-tion of axes,

[748]
Overfull \hbox (0.4726pt too wide) in paragraph at lines 1642--1643
[]\OT1/cmr/m/n/10 inverse trigono-met-ric fam-ily of func-tions,


Overfull \hbox (4.75043pt too wide) in paragraph at lines 1700--1702
[]\OT1/cmr/m/n/10 Kronecker, Leopold (1823--1891), []293[], []472[] 

Overfull \hbox (0.7921pt too wide) in paragraph at lines 1707--1708
[]\OT1/cmr/m/n/10 l'H^opital, Guil-laume de (1661--1704), []116[] 

Overfull \hbox (3.36145pt too wide) in paragraph at lines 1720--1721
[]| \OT1/cmr/m/n/10 solv-ing a dif-fer-en-tial equa-tion by, []622[] 

[749]
Overfull \hbox (3.23653pt too wide) in paragraph at lines 1741--1743
[]\OT1/cmr/m/n/10 Leibnitz, Got-tfried Wil-helm (1646--1716),


Overfull \hbox (1.19476pt too wide) in paragraph at lines 1783--1784
[]| \OT1/cmr/m/n/10 nonoverde-ter-mined, gen-eral so-lu-tion

Overfull \hbox (2.86142pt too wide) in paragraph at lines 1797--1798
[]| \OT1/cmr/m/n/10 in-te-grat-ing a prod-uct of a power and,

[750]
Overfull \hbox (1.50037pt too wide) in paragraph at lines 1866--1867
[]| \OT1/cmr/m/n/10 as-so-cia-tiv-ity of the mul-ti-pli-ca-tion of,


Overfull \hbox (0.91702pt too wide) in paragraph at lines 1885--1886
[]| \OT1/cmr/m/n/10 iden-tity, im-pos-si-bil-ity to pro-mote of,

Overfull \hbox (8.77814pt too wide) in paragraph at lines 1898--1899
[]| \OT1/cmr/m/n/10 non-di-ag-o-nal-iz-able ver-sus sin-gu-lar, []433[] 

[751]

Overfull \hbox (0.11147pt too wide) in paragraph at lines 1985--1986
[]| \OT1/cmr/m/n/10 to posit the nor-mal dis-tri-bu-tion, []643[] 

[752]

[753]

[754]
Overfull \hbox (4.86151pt too wide) in paragraph at lines 2206--2208
[]\OT1/cmr/m/n/10 Parseval, Marc-Antoine (1755--1836), []251[],


[755]

[756]
Overfull \hbox (1.77815pt too wide) in paragraph at lines 2388--2389
[]| \OT1/cmr/m/n/10 ba-sic non-an-a-lytic, dual trans-form of,


Overfull \hbox (2.41695pt too wide) in paragraph at lines 2418--2419
[]| \OT1/cmr/m/n/10 con-trasted against a sin-gle pulse, []601[] 

[757]
Overfull \hbox (3.33368pt too wide) in paragraph at lines 2481--2483
[]| \OT1/cmr/m/n/10 van-ish-ing de-nom-i-na-tor in the Fourier


[758]
Overfull \hbox (3.25029pt too wide) in paragraph at lines 2579--2580
[]\OT1/cmr/m/n/10 residue the-o-rem, Cauchy's im-pressed, []706[] 


[759]
Overfull \hbox (1.80591pt too wide) in paragraph at lines 2675--2676
[]\OT1/cmr/m/n/10 scaling prop-erty of the Fourier trans-form,


[760]

[761]

[762]

Overfull \hbox (3.69478pt too wide) in paragraph at lines 2990--2991
[]\OT1/cmr/m/n/10 three-dimensional ge-o-met-ri-cal vec-tor, []453[] 

[763]

Overfull \hbox (7.02817pt too wide) in paragraph at lines 3079--3081
[]\OT1/cmr/m/n/10 unbalanced ex-pres-sion of con-vo-lu-tion, []588[],

[764]
Overfull \hbox (6.44485pt too wide) in paragraph at lines 3130--3131
[]\OT1/cmr/m/n/10 upward mul-ti-tar-get ad-di-tion op-er-a-tor, []316[] 


Overfull \hbox (6.80588pt too wide) in paragraph at lines 3168--3169
[]| \OT1/cmr/m/n/10 de-riv-a-tive of, in spher-i-cal co-or-di-nates,

[765]

Overfull \hbox (8.83368pt too wide) in paragraph at lines 3284--3285
[]\OT1/cmr/m/n/10 Weierstrass, Karl Wil-helm Theodor (1815--

Overfull \hbox (4.47266pt too wide) in paragraph at lines 3294--3296
[]\OT1/cmr/m/n/10 Wittgenstein, Lud-wig (1889--1951), []8[], []104[] 

[766]

[767])
[768] (./main.aux (./sphere.aux) (./pref.aux) (./intro.aux) (./alggeo.aux)
(./trig.aux) (./drvtv.aux) (./cexp.aux) (./noth.aux) (./integ.aux)
(./taylor.aux) (./inttx.aux) (./cubic.aux) (./matrix.aux) (./gjrank.aux)
(./mtxinv.aux) (./eigen.aux) (./vector.aux) (./vcalc.aux) (./fours.aux)
(./fouri.aux) (./lapl.aux) (./prob.aux) (./gamma.aux) (./stub.aux)
(./conclu.aux) (./hex.aux) (./greek.aux) (./purec.aux) (./hist.aux)) )
(see the transcript file for additional information)
pdfTeX warning (dest): name{figure.15.4} has been referenced but does not exist
, replaced by a fixed one

 </tmp/texfonts/pk/ljfour/jknappen/ec/tcti1095.600pk> </tmp/texfonts/pk/ljfour/
jknappen/ec/tcrm0900.600pk> </tmp/texfonts/pk/ljfour/jknappen/ec/tcrm1095.600pk
></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx10.pfb></usr
/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb></usr/share
/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx6.pfb></usr/share/texliv
e/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx8.pfb></usr/share/texlive/texmf
-dist/fonts/type1/public/amsfonts/cm/cmbx9.pfb></usr/share/texlive/texmf-dist/f
onts/type1/public/amsfonts/cm/cmcsc10.pfb></usr/share/texlive/texmf-dist/fonts/
type1/public/amsfonts/cm/cmex10.pfb></usr/share/texlive/texmf-dist/fonts/type1/
public/amsfonts/cmextra/cmex8.pfb></usr/share/texlive/texmf-dist/fonts/type1/pu
blic/amsfonts/cmextra/cmex9.pfb></usr/share/texlive/texmf-dist/fonts/type1/publ
ic/amsfonts/cm/cmmi10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/ams
fonts/cm/cmmi12.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/
cm/cmmi5.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi
6.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi7.pfb><
/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi8.pfb></usr/sh
are/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi9.pfb></usr/share/tex
live/texmf-dist/fonts/type1/public/amsfonts/cm/cmmib10.pfb></usr/share/texlive/
texmf-dist/fonts/type1/public/amsfonts/cmextra/cmmib8.pfb></usr/share/texlive/t
exmf-dist/fonts/type1/public/amsfonts/cmextra/cmmib9.pfb></usr/share/texlive/te
xmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb></usr/share/texlive/texmf-dis
t/fonts/type1/public/amsfonts/cm/cmr12.pfb></usr/share/texlive/texmf-dist/fonts
/type1/public/amsfonts/cm/cmr17.pfb></usr/share/texlive/texmf-dist/fonts/type1/
public/amsfonts/cm/cmr5.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/a
msfonts/cm/cmr6.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/
cm/cmr7.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr8.
pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr9.pfb></us
r/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsl10.pfb></usr/shar
e/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmss9.pfb></usr/share/texli
ve/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb></usr/share/texlive/tex
mf-dist/fonts/type1/public/amsfonts/cm/cmsy5.pfb></usr/share/texlive/texmf-dist
/fonts/type1/public/amsfonts/cm/cmsy6.pfb></usr/share/texlive/texmf-dist/fonts/
type1/public/amsfonts/cm/cmsy7.pfb></usr/share/texlive/texmf-dist/fonts/type1/p
ublic/amsfonts/cm/cmsy8.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/a
msfonts/cm/cmsy9.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts
/cm/cmti10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cm
ti8.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmti9.pfb
></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmtt10.pfb></usr
/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmtt9.pfb></usr/share/
texlive/texmf-dist/fonts/type1/public/amsfonts/symbols/msam10.pfb></usr/share/t
exlive/texmf-dist/fonts/type1/public/amsfonts/symbols/msbm10.pfb></usr/share/te
xlive/texmf-dist/fonts/type1/public/rsfs/rsfs10.pfb></usr/share/texlive/texmf-d
ist/fonts/type1/public/rsfs/rsfs5.pfb>
Output written on main.pdf (798 pages, 3138895 bytes).
Transcript written on main.log.
mv -v main.pdf derivations.pdf
renamed 'main.pdf' -> 'derivations.pdf'
make[2]: Leaving directory '/build/reproducible-path/derivations-0.57.20210107/tex'
make[1]: Leaving directory '/build/reproducible-path/derivations-0.57.20210107'
touch build-stamp
dh_testdir
dh_testroot
dh_prep
dh_installdirs
dh_testdir
dh_testroot
dh_installchangelogs doc/changelog
dh_installdocs
dh_installman
dh_link
dh_compress -X.pdf
dh_fixperms
dh_installdeb
dh_gencontrol
dh_md5sums
dh_builddeb
dpkg-deb: building package 'derivations' in '../derivations_0.57.20210107-3_all.deb'.
 dpkg-genbuildinfo --build=binary -O../derivations_0.57.20210107-3_i386.buildinfo
 dpkg-genchanges --build=binary -O../derivations_0.57.20210107-3_i386.changes
dpkg-genchanges: info: binary-only upload (no source code included)
 dpkg-source --after-build .
dpkg-buildpackage: info: binary-only upload (no source included)
dpkg-genchanges: info: not including original source code in upload
I: copying local configuration
I: user script /srv/workspace/pbuilder/24076/tmp/hooks/B01_cleanup starting
I: user script /srv/workspace/pbuilder/24076/tmp/hooks/B01_cleanup finished
I: unmounting dev/ptmx filesystem
I: unmounting dev/pts filesystem
I: unmounting dev/shm filesystem
I: unmounting proc filesystem
I: unmounting sys filesystem
I: cleaning the build env 
I: removing directory /srv/workspace/pbuilder/24076 and its subdirectories
I: Current time: Sun Feb  9 19:49:51 +14 2025
I: pbuilder-time-stamp: 1739080191