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authorKarl Berry <karl@freefriends.org>2012-08-26 23:07:28 +0000
committerKarl Berry <karl@freefriends.org>2012-08-26 23:07:28 +0000
commitd3535e838cefea309221187bb9e62698c0df8c51 (patch)
treedbee8197e1bfecefe547d53e843f0acff729a3fe /Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath
parent33353453d22fc5877a8ced58c673c7008ce8c00a (diff)
latex-web-companion non-update
git-svn-id: svn://tug.org/texlive/trunk@27531 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath')
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/WARNINGS2
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/images.pl132
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/images.tex254
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img1.gifbin271 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img10.gifbin161 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img11.gifbin779 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img12.gifbin160 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img13.gifbin527 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img14.gifbin354 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img15.gifbin346 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img16.gifbin342 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img17.gifbin232 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img18.gifbin237 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img19.gifbin1265 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img2.gifbin73 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img20.gifbin1940 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img3.gifbin1286 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img4.gifbin138 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img5.gifbin675 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img6.gifbin135 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img7.gifbin855 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img8.gifbin154 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/img9.gifbin490 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/index.html235
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/internals.pl14
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/labels.pl29
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/node1.html72
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/sampleMath.css31
-rw-r--r--Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/sampleMath.html235
29 files changed, 0 insertions, 1004 deletions
diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/WARNINGS b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/WARNINGS
deleted file mode 100644
index 9d1d9f764ee..00000000000
--- a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/WARNINGS
+++ /dev/null
@@ -1,2 +0,0 @@
-
-redefining command \d
diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/images.pl b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/images.pl
deleted file mode 100644
index a319f5c597b..00000000000
--- a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/images.pl
+++ /dev/null
@@ -1,132 +0,0 @@
-# LaTeX2HTML 99.1 release (March 30, 1999)
-# Associate images original text with physical files.
-
-
-$key = q/displaystylefrac{epsilon-bar{epsilon}}{xi}-gamma'-beta^2-lnfrac{xi}{E_{{rm{max}};MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="185" HEIGHT="51" ALIGN="MIDDLE" BORDER="0"
- SRC="img5.gif"
- ALT="$\displaystyle \frac{\epsilon -\bar{\epsilon} }{\xi}
-- \gamma' - \beta^2 - \ln \frac{\xi} {E_{\rm max}}$">|;
-
-$key = q/a^2+b^2=c^2;MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="88" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
- SRC="img15.gif"
- ALT="$a^2+b^2=c^2$">|;
-
-$key = q/n>2;MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="43" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img17.gif"
- ALT="$n&gt;2$">|;
-
-$key = q/y=B(x);MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="68" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
- SRC="img14.gif"
- ALT="$y=B(x)$">|;
-
-$key = q/mathcal{N}(A)=mathcal{R}(B);MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="104" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
- SRC="img13.gif"
- ALT="$\mathcal{N}(A) = \mathcal{R}(B)$">|;
-
-$key = q/displaystylelambda;MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="13" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
- SRC="img4.gif"
- ALT="$\displaystyle \lambda$">|;
-
-$key = q/displaystyle0.577215dotsmathrm{hspace{5mm}(Euler'sconstant)};MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="235" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
- SRC="img7.gif"
- ALT="$\displaystyle 0.577215\dots \mathrm{\hspace{5mm}(Euler's\ constant)}$">|;
-
-$key = q/displaystylegamma;MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="13" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img6.gif"
- ALT="$\displaystyle \gamma$">|;
-
-$key = q/displaystylefrac{1}{2pii}int^{c+iinfty}_{c-iinfty}expleft(ulnu+lambdauright)duhspace{1cm}mbox{for}cgeq0;MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="325" HEIGHT="58" ALIGN="MIDDLE" BORDER="0"
- SRC="img3.gif"
- ALT="$\displaystyle \frac{1} {2 \pi i}\int^{c+i\infty}_{c-i\infty}
-\exp \left( u \ln u + \lambda u \right ) du \hspace{1cm}\mbox{for } c \geq 0$">|;
-
-$key = q/displaystylembox{actualslashaverageenergyloss};MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="187" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
- SRC="img11.gif"
- ALT="$\displaystyle \mbox{actual/average energy loss}$">|;
-
-$key = q/displaystyleleft<sum_iM_imathbf{V}_imathbf{V}_i+sum_isum_{j>i}mathbf{R}_{ij}mathbf{F}_{ij}right>;MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="233" HEIGHT="63" ALIGN="MIDDLE" BORDER="0"
- SRC="img19.gif"
- ALT="$\displaystyle \left&lt; \sum_i M_i \mathbf{V}_i \mathbf{V}_i
-+ \sum_i \sum_{j&gt;i} \mathbf{R}_{ij} \mathbf{F}_{ij}\right&gt;$">|;
-
-$key = q/displaystylegamma';MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="18" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
- SRC="img8.gif"
- ALT="$\displaystyle \gamma'$">|;
-
-$key = q/a^n+b^n=c^n;MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="93" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
- SRC="img16.gif"
- ALT="$a^n+b^n=c^n$">|;
-
-$key = q/textstyle=;MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img2.gif"
- ALT="$\textstyle =$">|;
-
-$key = q/displaystyleepsilon,bar{epsilon};MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="24" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img10.gif"
- ALT="$\displaystyle \epsilon , \bar{\epsilon}$">|;
-
-$key = q/displaystyleleft<sum_iM_imathbf{V}_imathbf{V}_i+sum_{i}sum_{j>i}sum_alphasum_betalphajbeta}-sum_isum_alphamathbf{p}_{ialpha}mathbf{f}_{ialpha}right>;MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="418" HEIGHT="63" ALIGN="MIDDLE" BORDER="0"
- SRC="img20.gif"
- ALT="$\displaystyle \left&lt; \sum_i M_i \mathbf{V}_i \mathbf{V}_i
-+ \sum_{i}\sum_{j&gt;i}\...
-... j\beta}
-- \sum_i \sum_\alpha \mathbf{p}_{i\alpha} \mathbf{f}_{i\alpha} \right&gt;$">|;
-
-$key = q/deltamathbf{c};MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="20" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
- SRC="img12.gif"
- ALT="$\delta\mathbf{c}$">|;
-
-$key = q/displaystyle0.422784dots=1-gamma;MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="143" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img9.gif"
- ALT="$\displaystyle 0.422784\dots = 1 - \gamma$">|;
-
-$key = q/displaystylephi(lambda);MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="35" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
- SRC="img1.gif"
- ALT="$\displaystyle \phi(\lambda)$">|;
-
-$key = q/displaystyleVmathbf{pi}^{sr};MSF=1.6;AAT/;
-$cached_env_img{$key} = q|<IMG
- WIDTH="40" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
- SRC="img18.gif"
- ALT="$\displaystyle V \mathbf{\pi}^{sr}$">|;
-
-1;
-
diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/images.tex b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/images.tex
deleted file mode 100644
index 9b738e34b59..00000000000
--- a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/images.tex
+++ /dev/null
@@ -1,254 +0,0 @@
-\batchmode
-\documentclass[a4paper,twoside]{article}
-
-\usepackage{html}
-
-%
-\renewcommand{\d}{\partial}%
-\providecommand{\bm}[1]{\mathbf{#1}}%
-\providecommand{\Range}{\mathcal{R}}%
-\providecommand{\Ker}{\mathcal{N}}%
-\providecommand{\Quat}{\vec{\mathbf{Q}}}
-%
-\providecommand{\StAndrews}{\htmlurl{http://www-groups.dcs.st-and.ac.uk/~history}}%%
-\providecommand{\Pythagorians}{\htmladdnormallink
- {Pythagorians}{\htmlurl{http://www-groups.dcs.st-and.ac.uk/~history}/Mathematicians/Pythagoras.html}}%
-\providecommand{\Fermat}{\htmladdnormallink
- {Fermat, c.1637}{\htmlurl{http://www-groups.dcs.st-and.ac.uk/~history}/HistTopics/Fermat's_last_theorem.html}}%
-\providecommand{\Wiles}{\htmladdnormallink
- {Wiles, 1995}{\htmlurl{http://www.pbs.org:80/wgbh/nova/proof}}}
-
-\usepackage[dvips]{color}
-\pagecolor[gray]{.7}
-
-
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-\makeatletter
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-\makeatletter
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-\newcommand{\renewedcommand}[1]{\expandafter\renewcommand\csname #1\endcsname}%
-\makeatother
-\let\mathon=$
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-\ifx\AtBeginDocument\undefined \newcommand{\AtBeginDocument}[1]{}\fi
-\newbox\sizebox
-\setlength{\hoffset}{0pt}\setlength{\voffset}{0pt}
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-\def\adjustnormalsize{\def\normalsize{\mathsurround=0pt \realnormalsize
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- \def\phantompar{\csname par\endcsname}\normalsize}%
-\def\lthtmltypeout#1{{\let\protect\string\immediate\write\lthtmlwrite{#1}}}%
-\newcommand\lthtmlhboxmathA{\adjustnormalsize\setbox\sizebox=\hbox\bgroup\kern.05em }%
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-\newcommand\lthtmlboxmathZ{\@next\next\@currlist{}{\def\next{\voidb@x}}%
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-\newcommand\lthtmllogmath{\lthtmltypeout{l2hSize %
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-\newcommand\lthtmlpictureZ[1]{\hfill\lthtmlfigureZ}%
-\newcommand\lthtmlfigureZ{\lthtmlboxmathZ\lthtmllogmath\copy\sizebox
- \global\let\@freelist\@savefreelist}%
-\newcommand\lthtmldisplayA[1]{\lthtmlmathtype{#1}\lthtmlvboxmathA}%
-\newcommand\lthtmldisplayB[1]{\edef\preveqno{(\theequation)}%
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-\newcommand\lthtmldisplayZ{\lthtmlboxmathZ\lthtmllogmath\lthtmlsetmath}%
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-\newcommand\lthtmlindisplaymathZ{\egroup %
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-\def\lthtmlsetinline{\hbox{\vrule width.1em\kern-.05em\vtop{\vbox{%
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-\def\lthtmlsetmath{\hbox{\vrule width.1em\kern-.05em\vtop{\vbox{%
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-\def\centerinlinemath{%
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- \advance\dimen1by.5pt \vrule width0pt height\dimen1 depth\dimen1
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-
-\def\lthtmlcheckvsize{\ifdim\ht\sizebox<\vsize
- \ifdim\wd\sizebox<\hsize\expandafter\hfill\fi \expandafter\vfill
- \else\expandafter\vss\fi}%
-\providecommand{\selectlanguage}[1]{}%
-\makeatletter \tracingstats = 1
-
-
-\begin{document}
-\pagestyle{empty}\thispagestyle{empty}\lthtmltypeout{}%
-\lthtmltypeout{latex2htmlLength hsize=\the\hsize}\lthtmltypeout{}%
-\lthtmltypeout{latex2htmlLength vsize=\the\vsize}\lthtmltypeout{}%
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-\setcounter{page}{1}
-\onecolumn
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-% !!! IMAGES START HERE !!!
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-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_indisplay173}%
-$\displaystyle \phi(\lambda)$%
-\lthtmlindisplaymathZ
-\lthtmlcheckvsize\clearpage}
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-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_indisplay174}%
-$\textstyle =$%
-\lthtmlindisplaymathZ
-\lthtmlcheckvsize\clearpage}
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-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_indisplay175}%
-$\displaystyle \frac{1} {2 \pi i}\int^{c+i\infty}_{c-i\infty}
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-\lthtmlindisplaymathZ
-\lthtmlcheckvsize\clearpage}
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-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_indisplay176}%
-$\displaystyle \lambda$%
-\lthtmlindisplaymathZ
-\lthtmlcheckvsize\clearpage}
-
-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_indisplay178}%
-$\displaystyle \frac{\epsilon -\bar{\epsilon} }{\xi}
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-\lthtmlindisplaymathZ
-\lthtmlcheckvsize\clearpage}
-
-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_indisplay179}%
-$\displaystyle \gamma$%
-\lthtmlindisplaymathZ
-\lthtmlcheckvsize\clearpage}
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-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_indisplay181}%
-$\displaystyle 0.577215\dots \mathrm{\hspace{5mm}(Euler's\ constant)}$%
-\lthtmlindisplaymathZ
-\lthtmlcheckvsize\clearpage}
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-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_indisplay182}%
-$\displaystyle \gamma'$%
-\lthtmlindisplaymathZ
-\lthtmlcheckvsize\clearpage}
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-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_indisplay184}%
-$\displaystyle 0.422784\dots = 1 - \gamma$%
-\lthtmlindisplaymathZ
-\lthtmlcheckvsize\clearpage}
-
-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_indisplay185}%
-$\displaystyle \epsilon , \bar{\epsilon}$%
-\lthtmlindisplaymathZ
-\lthtmlcheckvsize\clearpage}
-
-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_indisplay187}%
-$\displaystyle \mbox{actual/average energy loss}$%
-\lthtmlindisplaymathZ
-\lthtmlcheckvsize\clearpage}
-
-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_inline112}%
-$\delta\mathbf{c}$%
-\lthtmlinlinemathZ
-\lthtmlcheckvsize\clearpage}
-
-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_inline114}%
-$\mathcal{N}(A) = \mathcal{R}(B)$%
-\lthtmlinlinemathZ
-\lthtmlcheckvsize\clearpage}
-
-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_inline116}%
-$y=B(x)$%
-\lthtmlinlinemathZ
-\lthtmlcheckvsize\clearpage}
-
-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_inline118}%
-$a^2+b^2=c^2$%
-\lthtmlinlinemathZ
-\lthtmlcheckvsize\clearpage}
-
-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_inline120}%
-$a^n+b^n=c^n$%
-\lthtmlinlinemathZ
-\lthtmlcheckvsize\clearpage}
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-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_inline122}%
-$n>2$%
-\lthtmlinlinemathZ
-\lthtmlcheckvsize\clearpage}
-
-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_indisplay195}%
-$\displaystyle V \mathbf{\pi}^{sr}$%
-\lthtmlindisplaymathZ
-\lthtmlcheckvsize\clearpage}
-
-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_indisplay197}%
-$\displaystyle \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i
-+ \sum_i \sum_{j>i} \mathbf{R}_{ij} \mathbf{F}_{ij}\right>$%
-\lthtmlindisplaymathZ
-\lthtmlcheckvsize\clearpage}
-
-{\newpage\clearpage
-\lthtmlinlinemathA{tex2html_wrap_indisplay199}%
-$\displaystyle \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i
-+ \sum_{i}\sum_{j>i}\sum_\alpha\sum_\beta \mathbf{r}_{i\alpha j\beta}\mathbf{f}_{i\alpha j\beta}
-- \sum_i \sum_\alpha \mathbf{p}_{i\alpha} \mathbf{f}_{i\alpha} \right>$%
-\lthtmlindisplaymathZ
-\lthtmlcheckvsize\clearpage}
-
-
-\end{document}
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@@ -1,235 +0,0 @@
-<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
-
-<!--Converted with LaTeX2HTML 99.1 release (March 30, 1999)
-original version by: Nikos Drakos, CBLU, University of Leeds
-* revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan
-* with significant contributions from:
- Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
-<HTML>
-<HEAD>
-<TITLE>sampleMath</TITLE>
-<META NAME="description" CONTENT="sampleMath">
-<META NAME="keywords" CONTENT="sampleMath">
-<META NAME="resource-type" CONTENT="document">
-<META NAME="distribution" CONTENT="global">
-
-<META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=iso-8859-1">
-<META NAME="Generator" CONTENT="LaTeX2HTML v99.1 release">
-<META HTTP-EQUIV="Content-Style-Type" CONTENT="text/css">
-
-<LINK REL="STYLESHEET" HREF="sampleMath.css">
-
-<LINK REL="next" HREF="node1.html">
-<LINK REL="next" HREF="node1.html">
-</HEAD>
-
-<BODY >
-<!--Navigation Panel-->
-<A NAME="tex2html9"
- HREF="node1.html">
-<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next"
- SRC="/afs/cern.ch/project/tex/new/latex2html/icons.gif/next_motif.gif"></A>
-<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up"
- SRC="/afs/cern.ch/project/tex/new/latex2html/icons.gif/up_motif_gr.gif">
-<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous"
- SRC="/afs/cern.ch/project/tex/new/latex2html/icons.gif/previous_motif_gr.gif">
-<BR>
-<B> Next:</B> <A NAME="tex2html10"
- HREF="node1.html">About this document ...</A>
-<BR>
-<BR>
-<!--End of Navigation Panel-->
-<P>
-<H2 ALIGN="center"><A NAME="SECTION00000000000000000000">
-Math examples</A>
-</H2>
-<BR>
-<DIV ALIGN="CENTER"><A NAME="xiEmax"></A>
-
-<!-- MATH
- \begin{eqnarray}
-\phi(\lambda) & = & \frac{1} {2 \pi i}\int^{c+i\infty}_{c-i\infty}
- \exp \left( u \ln u + \lambda u \right ) du \hspace{1cm}\mbox{for } c \geq 0 \\
- \lambda & = & \frac{\epsilon -\bar{\epsilon} }{\xi}
- - \gamma' - \beta^2 - \ln \frac{\xi} {E_{\rm max}}\\
- \gamma & = & 0.577215\dots \mathrm{\hspace{5mm}(Euler's\ constant)} \\
- \gamma' & = & 0.422784\dots = 1 - \gamma \\
- \epsilon , \bar{\epsilon} & = & \mbox{actual/average energy loss}
-\end{eqnarray}
- -->
-
-<TABLE ALIGN="CENTER" CELLPADDING="0" WIDTH="100%">
-<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG
- WIDTH="35" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
- SRC="img1.gif"
- ALT="$\displaystyle \phi(\lambda)$"></TD>
-<TD ALIGN="CENTER" NOWRAP><IMG
- WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img2.gif"
- ALT="$\textstyle =$"></TD>
-<TD ALIGN="LEFT" NOWRAP><IMG
- WIDTH="325" HEIGHT="58" ALIGN="MIDDLE" BORDER="0"
- SRC="img3.gif"
- ALT="$\displaystyle \frac{1} {2 \pi i}\int^{c+i\infty}_{c-i\infty}
-\exp \left( u \ln u + \lambda u \right ) du \hspace{1cm}\mbox{for } c \geq 0$"></TD>
-<TD WIDTH=10 ALIGN="RIGHT">
-(1)</TD></TR>
-<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG
- WIDTH="13" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
- SRC="img4.gif"
- ALT="$\displaystyle \lambda$"></TD>
-<TD ALIGN="CENTER" NOWRAP><IMG
- WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img2.gif"
- ALT="$\textstyle =$"></TD>
-<TD ALIGN="LEFT" NOWRAP><IMG
- WIDTH="185" HEIGHT="51" ALIGN="MIDDLE" BORDER="0"
- SRC="img5.gif"
- ALT="$\displaystyle \frac{\epsilon -\bar{\epsilon} }{\xi}
-- \gamma' - \beta^2 - \ln \frac{\xi} {E_{\rm max}}$"></TD>
-<TD WIDTH=10 ALIGN="RIGHT">
-(2)</TD></TR>
-<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG
- WIDTH="13" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img6.gif"
- ALT="$\displaystyle \gamma$"></TD>
-<TD ALIGN="CENTER" NOWRAP><IMG
- WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img2.gif"
- ALT="$\textstyle =$"></TD>
-<TD ALIGN="LEFT" NOWRAP><IMG
- WIDTH="235" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
- SRC="img7.gif"
- ALT="$\displaystyle 0.577215\dots \mathrm{\hspace{5mm}(Euler's\ constant)}$"></TD>
-<TD WIDTH=10 ALIGN="RIGHT">
-(3)</TD></TR>
-<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG
- WIDTH="18" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
- SRC="img8.gif"
- ALT="$\displaystyle \gamma'$"></TD>
-<TD ALIGN="CENTER" NOWRAP><IMG
- WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img2.gif"
- ALT="$\textstyle =$"></TD>
-<TD ALIGN="LEFT" NOWRAP><IMG
- WIDTH="143" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img9.gif"
- ALT="$\displaystyle 0.422784\dots = 1 - \gamma$"></TD>
-<TD WIDTH=10 ALIGN="RIGHT">
-(4)</TD></TR>
-<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG
- WIDTH="24" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img10.gif"
- ALT="$\displaystyle \epsilon , \bar{\epsilon}$"></TD>
-<TD ALIGN="CENTER" NOWRAP><IMG
- WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img2.gif"
- ALT="$\textstyle =$"></TD>
-<TD ALIGN="LEFT" NOWRAP><IMG
- WIDTH="187" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
- SRC="img11.gif"
- ALT="$\displaystyle \mbox{actual/average energy loss}$"></TD>
-<TD WIDTH=10 ALIGN="RIGHT">
-(5)</TD></TR>
-</TABLE></DIV>
-<BR CLEAR="ALL"><P></P>
-
-<P>
-Since&nbsp;<A HREF="sampleMath.html#xiEmax">2</A> and <A HREF="sampleMath.html#eqn:stress-sr">6</A> hold for arbitrary
-<!-- MATH
- $\delta\mathbf{c}$
- -->
-<IMG
- WIDTH="20" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
- SRC="img12.gif"
- ALT="$\delta\mathbf{c}$">-vectors,
-it is clear that
-<!-- MATH
- $\mathcal{N}(A) = \mathcal{R}(B)$
- -->
-<IMG
- WIDTH="104" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
- SRC="img13.gif"
- ALT="$\mathcal{N}(A) = \mathcal{R}(B)$"> and that when <IMG
- WIDTH="68" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
- SRC="img14.gif"
- ALT="$y=B(x)$"> one has...
-<BR>
-...the <A NAME="tex2html4"
- HREF="http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Pythagoras.html">Pythagorians</A> knew infinitely many solutions in integers to <IMG
- WIDTH="88" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
- SRC="img15.gif"
- ALT="$a^2+b^2=c^2$">.
-That no non-trivial integer solutions exist for <IMG
- WIDTH="93" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
- SRC="img16.gif"
- ALT="$a^n+b^n=c^n$"> with integers <IMG
- WIDTH="43" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img17.gif"
- ALT="$n&gt;2$"> has long
-been suspected (<A NAME="tex2html5"
- HREF="http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Fermat's_last_theorem.html">Fermat, c.1637</A>). Only during the current decade has this been proved (<A NAME="tex2html6"
- HREF="http://www.pbs.org:80/wgbh/nova/proof">Wiles, 1995</A>).
-
-<P>
-<BR>
-<DIV ALIGN="CENTER"><A NAME="eqn:stress-sr"></A>
-
-<!-- MATH
- \begin{eqnarray}
-V \mathbf{\pi}^{sr} & = & \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i
- + \sum_i \sum_{j>i} \mathbf{R}_{ij} \mathbf{F}_{ij}\right> \\\nonumber
- & = & \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i
- + \sum_{i}\sum_{j>i}\sum_\alpha\sum_\beta \mathbf{r}_{i\alpha j\beta}\mathbf{f}_{i\alpha j\beta}
- - \sum_i \sum_\alpha \mathbf{p}_{i\alpha} \mathbf{f}_{i\alpha} \right>
-\end{eqnarray}
- -->
-
-<TABLE ALIGN="CENTER" CELLPADDING="0" WIDTH="100%">
-<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG
- WIDTH="40" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
- SRC="img18.gif"
- ALT="$\displaystyle V \mathbf{\pi}^{sr}$"></TD>
-<TD ALIGN="CENTER" NOWRAP><IMG
- WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img2.gif"
- ALT="$\textstyle =$"></TD>
-<TD ALIGN="LEFT" NOWRAP><IMG
- WIDTH="233" HEIGHT="63" ALIGN="MIDDLE" BORDER="0"
- SRC="img19.gif"
- ALT="$\displaystyle \left&lt; \sum_i M_i \mathbf{V}_i \mathbf{V}_i
-+ \sum_i \sum_{j&gt;i} \mathbf{R}_{ij} \mathbf{F}_{ij}\right&gt;$"></TD>
-<TD WIDTH=10 ALIGN="RIGHT">
-(6)</TD></TR>
-<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT">&nbsp;</TD>
-<TD ALIGN="CENTER" NOWRAP><IMG
- WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img2.gif"
- ALT="$\textstyle =$"></TD>
-<TD ALIGN="LEFT" NOWRAP><IMG
- WIDTH="418" HEIGHT="63" ALIGN="MIDDLE" BORDER="0"
- SRC="img20.gif"
- ALT="$\displaystyle \left&lt; \sum_i M_i \mathbf{V}_i \mathbf{V}_i
-+ \sum_{i}\sum_{j&gt;i}\...
-... j\beta}
-- \sum_i \sum_\alpha \mathbf{p}_{i\alpha} \mathbf{f}_{i\alpha} \right&gt;$"></TD>
-<TD WIDTH=10 ALIGN="RIGHT">
-&nbsp;</TD></TR>
-</TABLE></DIV>
-<BR CLEAR="ALL"><P></P>
-<BR><HR>
-<!--Table of Child-Links-->
-<A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
-
-<UL>
-<LI><A NAME="tex2html11"
- HREF="node1.html">About this document ...</A>
-</UL>
-<!--End of Table of Child-Links-->
-<BR><HR>
-<ADDRESS>
-<I>Michel Goossens</I>
-<BR><I>1999-03-30</I>
-</ADDRESS>
-</BODY>
-</HTML>
diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/internals.pl b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/internals.pl
deleted file mode 100644
index 129a18c5241..00000000000
--- a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/internals.pl
+++ /dev/null
@@ -1,14 +0,0 @@
-# LaTeX2HTML 99.1 release (March 30, 1999)
-# Associate internals original text with physical files.
-
-
-$key = q/xiEmax/;
-$ref_files{$key} = "$dir".q|sampleMath.html|;
-$noresave{$key} = "$nosave";
-
-$key = q/eqn:stress-sr/;
-$ref_files{$key} = "$dir".q|sampleMath.html|;
-$noresave{$key} = "$nosave";
-
-1;
-
diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/labels.pl b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/labels.pl
deleted file mode 100644
index 47f50cc587b..00000000000
--- a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/labels.pl
+++ /dev/null
@@ -1,29 +0,0 @@
-# LaTeX2HTML 99.1 release (March 30, 1999)
-# Associate labels original text with physical files.
-
-
-$key = q/xiEmax/;
-$external_labels{$key} = "$URL/" . q|sampleMath.html|;
-$noresave{$key} = "$nosave";
-
-$key = q/eqn:stress-sr/;
-$external_labels{$key} = "$URL/" . q|sampleMath.html|;
-$noresave{$key} = "$nosave";
-
-1;
-
-
-# LaTeX2HTML 99.1 release (March 30, 1999)
-# labels from external_latex_labels array.
-
-
-$key = q/xiEmax/;
-$external_latex_labels{$key} = q|2|;
-$noresave{$key} = "$nosave";
-
-$key = q/eqn:stress-sr/;
-$external_latex_labels{$key} = q|6|;
-$noresave{$key} = "$nosave";
-
-1;
-
diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/node1.html b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/node1.html
deleted file mode 100644
index 35ab2f29258..00000000000
--- a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/node1.html
+++ /dev/null
@@ -1,72 +0,0 @@
-<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
-
-<!--Converted with LaTeX2HTML 99.1 release (March 30, 1999)
-original version by: Nikos Drakos, CBLU, University of Leeds
-* revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan
-* with significant contributions from:
- Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
-<HTML>
-<HEAD>
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-<META NAME="description" CONTENT="About this document ...">
-<META NAME="keywords" CONTENT="sampleMath">
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-<META NAME="distribution" CONTENT="global">
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-<META HTTP-EQUIV="Content-Style-Type" CONTENT="text/css">
-
-<LINK REL="STYLESHEET" HREF="sampleMath.css">
-
-<LINK REL="previous" HREF="sampleMath.html">
-<LINK REL="up" HREF="sampleMath.html">
-</HEAD>
-
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-<!--Navigation Panel-->
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- SRC="/afs/cern.ch/project/tex/new/latex2html/icons.gif/next_motif_gr.gif">
-<A NAME="tex2html16"
- HREF="sampleMath.html">
-<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up"
- SRC="/afs/cern.ch/project/tex/new/latex2html/icons.gif/up_motif.gif"></A>
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- HREF="sampleMath.html">
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- SRC="/afs/cern.ch/project/tex/new/latex2html/icons.gif/previous_motif.gif"></A>
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-<B> Up:</B> <A NAME="tex2html17"
- HREF="sampleMath.html">sampleMath</A>
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- HREF="sampleMath.html">sampleMath</A>
-<BR>
-<BR>
-<!--End of Navigation Panel-->
-
-<H1><A NAME="SECTION00010000000000000000">
-About this document ...</A>
-</H1>
- <P>
-This document was generated using the
-<A HREF="http://www-dsed.llnl.gov/files/programs/unix/latex2html/manual/"><STRONG>LaTeX</STRONG>2<tt>HTML</tt></A> translator Version 99.1 release (March 30, 1999)
-<P>
-Copyright &#169; 1993, 1994, 1995, 1996,
-<A HREF="http://cbl.leeds.ac.uk/nikos/personal.html">Nikos Drakos</A>,
-Computer Based Learning Unit, University of Leeds.
-<BR>
-Copyright &#169; 1997, 1998, 1999,
-<A HREF="http://www.maths.mq.edu.au/~ross/">Ross Moore</A>,
-Mathematics Department, Macquarie University, Sydney.
-<P>
-The command line arguments were: <BR>
- <STRONG>latex2html</STRONG> <TT>sampleMath</TT>
-<P>
-The translation was initiated by Michel Goossens on 1999-03-30
-<BR><HR>
-<ADDRESS>
-<I>Michel Goossens</I>
-<BR><I>1999-03-30</I>
-</ADDRESS>
-</BODY>
-</HTML>
diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/sampleMath.css b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/sampleMath.css
deleted file mode 100644
index 1993b851311..00000000000
--- a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/sampleMath.css
+++ /dev/null
@@ -1,31 +0,0 @@
-
-/* Century Schoolbook font is very similar to Computer Modern Math: cmmi */
-.MATH { font-family: "Century Schoolbook", serif; }
-.MATH I { font-family: "Century Schoolbook", serif; font-shape: italic }
-.BOLDMATH { font-family: "Century Schoolbook", serif; font-weight: bold }
-
-/* implement both fixed-size and relative sizes */
-SMALL.XTINY { font-size : xx-small }
-SMALL.TINY { font-size : x-small }
-SMALL.SCRIPTSIZE { font-size : smaller }
-SMALL.FOOTNOTESIZE { font-size : small }
-SMALL.SMALL { }
-BIG.LARGE { }
-BIG.XLARGE { font-size : large }
-BIG.XXLARGE { font-size : x-large }
-BIG.HUGE { font-size : larger }
-BIG.XHUGE { font-size : xx-large }
-
-/* heading styles */
-H1 { }
-H2 { }
-H3 { }
-H4 { }
-H5 { }
-
-/* mathematics styles */
-DIV.displaymath { } /* math displays */
-TD.eqno { } /* equation-number cells */
-
-
-/* document-specific styles come next */
diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/sampleMath.html b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/sampleMath.html
deleted file mode 100644
index 47104a5ce76..00000000000
--- a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMath/sampleMath.html
+++ /dev/null
@@ -1,235 +0,0 @@
-<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
-
-<!--Converted with LaTeX2HTML 99.1 release (March 30, 1999)
-original version by: Nikos Drakos, CBLU, University of Leeds
-* revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan
-* with significant contributions from:
- Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
-<HTML>
-<HEAD>
-<TITLE>sampleMath</TITLE>
-<META NAME="description" CONTENT="sampleMath">
-<META NAME="keywords" CONTENT="sampleMath">
-<META NAME="resource-type" CONTENT="document">
-<META NAME="distribution" CONTENT="global">
-
-<META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=iso-8859-1">
-<META NAME="Generator" CONTENT="LaTeX2HTML v99.1 release">
-<META HTTP-EQUIV="Content-Style-Type" CONTENT="text/css">
-
-<LINK REL="STYLESHEET" HREF="sampleMath.css">
-
-<LINK REL="next" HREF="node1.html">
-<LINK REL="next" HREF="node1.html">
-</HEAD>
-
-<BODY >
-<!--Navigation Panel-->
-<A NAME="tex2html9"
- HREF="node1.html">
-<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next"
- SRC="/afs/cern.ch/project/tex/new/latex2html/icons.gif/next_motif.gif"></A>
-<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up"
- SRC="/afs/cern.ch/project/tex/new/latex2html/icons.gif/up_motif_gr.gif">
-<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous"
- SRC="/afs/cern.ch/project/tex/new/latex2html/icons.gif/previous_motif_gr.gif">
-<BR>
-<B> Next:</B> <A NAME="tex2html10"
- HREF="node1.html">About this document ...</A>
-<BR>
-<BR>
-<!--End of Navigation Panel-->
-<P>
-<H2 ALIGN="center"><A NAME="SECTION00000000000000000000">
-Math examples</A>
-</H2>
-<BR>
-<DIV ALIGN="CENTER"><A NAME="xiEmax"></A>
-
-<!-- MATH
- \begin{eqnarray}
-\phi(\lambda) & = & \frac{1} {2 \pi i}\int^{c+i\infty}_{c-i\infty}
- \exp \left( u \ln u + \lambda u \right ) du \hspace{1cm}\mbox{for } c \geq 0 \\
- \lambda & = & \frac{\epsilon -\bar{\epsilon} }{\xi}
- - \gamma' - \beta^2 - \ln \frac{\xi} {E_{\rm max}}\\
- \gamma & = & 0.577215\dots \mathrm{\hspace{5mm}(Euler's\ constant)} \\
- \gamma' & = & 0.422784\dots = 1 - \gamma \\
- \epsilon , \bar{\epsilon} & = & \mbox{actual/average energy loss}
-\end{eqnarray}
- -->
-
-<TABLE ALIGN="CENTER" CELLPADDING="0" WIDTH="100%">
-<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG
- WIDTH="35" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
- SRC="img1.gif"
- ALT="$\displaystyle \phi(\lambda)$"></TD>
-<TD ALIGN="CENTER" NOWRAP><IMG
- WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img2.gif"
- ALT="$\textstyle =$"></TD>
-<TD ALIGN="LEFT" NOWRAP><IMG
- WIDTH="325" HEIGHT="58" ALIGN="MIDDLE" BORDER="0"
- SRC="img3.gif"
- ALT="$\displaystyle \frac{1} {2 \pi i}\int^{c+i\infty}_{c-i\infty}
-\exp \left( u \ln u + \lambda u \right ) du \hspace{1cm}\mbox{for } c \geq 0$"></TD>
-<TD WIDTH=10 ALIGN="RIGHT">
-(1)</TD></TR>
-<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG
- WIDTH="13" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
- SRC="img4.gif"
- ALT="$\displaystyle \lambda$"></TD>
-<TD ALIGN="CENTER" NOWRAP><IMG
- WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img2.gif"
- ALT="$\textstyle =$"></TD>
-<TD ALIGN="LEFT" NOWRAP><IMG
- WIDTH="185" HEIGHT="51" ALIGN="MIDDLE" BORDER="0"
- SRC="img5.gif"
- ALT="$\displaystyle \frac{\epsilon -\bar{\epsilon} }{\xi}
-- \gamma' - \beta^2 - \ln \frac{\xi} {E_{\rm max}}$"></TD>
-<TD WIDTH=10 ALIGN="RIGHT">
-(2)</TD></TR>
-<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG
- WIDTH="13" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img6.gif"
- ALT="$\displaystyle \gamma$"></TD>
-<TD ALIGN="CENTER" NOWRAP><IMG
- WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img2.gif"
- ALT="$\textstyle =$"></TD>
-<TD ALIGN="LEFT" NOWRAP><IMG
- WIDTH="235" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
- SRC="img7.gif"
- ALT="$\displaystyle 0.577215\dots \mathrm{\hspace{5mm}(Euler's\ constant)}$"></TD>
-<TD WIDTH=10 ALIGN="RIGHT">
-(3)</TD></TR>
-<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG
- WIDTH="18" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
- SRC="img8.gif"
- ALT="$\displaystyle \gamma'$"></TD>
-<TD ALIGN="CENTER" NOWRAP><IMG
- WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img2.gif"
- ALT="$\textstyle =$"></TD>
-<TD ALIGN="LEFT" NOWRAP><IMG
- WIDTH="143" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img9.gif"
- ALT="$\displaystyle 0.422784\dots = 1 - \gamma$"></TD>
-<TD WIDTH=10 ALIGN="RIGHT">
-(4)</TD></TR>
-<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG
- WIDTH="24" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img10.gif"
- ALT="$\displaystyle \epsilon , \bar{\epsilon}$"></TD>
-<TD ALIGN="CENTER" NOWRAP><IMG
- WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img2.gif"
- ALT="$\textstyle =$"></TD>
-<TD ALIGN="LEFT" NOWRAP><IMG
- WIDTH="187" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
- SRC="img11.gif"
- ALT="$\displaystyle \mbox{actual/average energy loss}$"></TD>
-<TD WIDTH=10 ALIGN="RIGHT">
-(5)</TD></TR>
-</TABLE></DIV>
-<BR CLEAR="ALL"><P></P>
-
-<P>
-Since&nbsp;<A HREF="sampleMath.html#xiEmax">2</A> and <A HREF="sampleMath.html#eqn:stress-sr">6</A> hold for arbitrary
-<!-- MATH
- $\delta\mathbf{c}$
- -->
-<IMG
- WIDTH="20" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
- SRC="img12.gif"
- ALT="$\delta\mathbf{c}$">-vectors,
-it is clear that
-<!-- MATH
- $\mathcal{N}(A) = \mathcal{R}(B)$
- -->
-<IMG
- WIDTH="104" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
- SRC="img13.gif"
- ALT="$\mathcal{N}(A) = \mathcal{R}(B)$"> and that when <IMG
- WIDTH="68" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
- SRC="img14.gif"
- ALT="$y=B(x)$"> one has...
-<BR>
-...the <A NAME="tex2html4"
- HREF="http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Pythagoras.html">Pythagorians</A> knew infinitely many solutions in integers to <IMG
- WIDTH="88" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
- SRC="img15.gif"
- ALT="$a^2+b^2=c^2$">.
-That no non-trivial integer solutions exist for <IMG
- WIDTH="93" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
- SRC="img16.gif"
- ALT="$a^n+b^n=c^n$"> with integers <IMG
- WIDTH="43" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img17.gif"
- ALT="$n&gt;2$"> has long
-been suspected (<A NAME="tex2html5"
- HREF="http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Fermat's_last_theorem.html">Fermat, c.1637</A>). Only during the current decade has this been proved (<A NAME="tex2html6"
- HREF="http://www.pbs.org:80/wgbh/nova/proof">Wiles, 1995</A>).
-
-<P>
-<BR>
-<DIV ALIGN="CENTER"><A NAME="eqn:stress-sr"></A>
-
-<!-- MATH
- \begin{eqnarray}
-V \mathbf{\pi}^{sr} & = & \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i
- + \sum_i \sum_{j>i} \mathbf{R}_{ij} \mathbf{F}_{ij}\right> \\\nonumber
- & = & \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i
- + \sum_{i}\sum_{j>i}\sum_\alpha\sum_\beta \mathbf{r}_{i\alpha j\beta}\mathbf{f}_{i\alpha j\beta}
- - \sum_i \sum_\alpha \mathbf{p}_{i\alpha} \mathbf{f}_{i\alpha} \right>
-\end{eqnarray}
- -->
-
-<TABLE ALIGN="CENTER" CELLPADDING="0" WIDTH="100%">
-<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG
- WIDTH="40" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
- SRC="img18.gif"
- ALT="$\displaystyle V \mathbf{\pi}^{sr}$"></TD>
-<TD ALIGN="CENTER" NOWRAP><IMG
- WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img2.gif"
- ALT="$\textstyle =$"></TD>
-<TD ALIGN="LEFT" NOWRAP><IMG
- WIDTH="233" HEIGHT="63" ALIGN="MIDDLE" BORDER="0"
- SRC="img19.gif"
- ALT="$\displaystyle \left&lt; \sum_i M_i \mathbf{V}_i \mathbf{V}_i
-+ \sum_i \sum_{j&gt;i} \mathbf{R}_{ij} \mathbf{F}_{ij}\right&gt;$"></TD>
-<TD WIDTH=10 ALIGN="RIGHT">
-(6)</TD></TR>
-<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT">&nbsp;</TD>
-<TD ALIGN="CENTER" NOWRAP><IMG
- WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
- SRC="img2.gif"
- ALT="$\textstyle =$"></TD>
-<TD ALIGN="LEFT" NOWRAP><IMG
- WIDTH="418" HEIGHT="63" ALIGN="MIDDLE" BORDER="0"
- SRC="img20.gif"
- ALT="$\displaystyle \left&lt; \sum_i M_i \mathbf{V}_i \mathbf{V}_i
-+ \sum_{i}\sum_{j&gt;i}\...
-... j\beta}
-- \sum_i \sum_\alpha \mathbf{p}_{i\alpha} \mathbf{f}_{i\alpha} \right&gt;$"></TD>
-<TD WIDTH=10 ALIGN="RIGHT">
-&nbsp;</TD></TR>
-</TABLE></DIV>
-<BR CLEAR="ALL"><P></P>
-<BR><HR>
-<!--Table of Child-Links-->
-<A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
-
-<UL>
-<LI><A NAME="tex2html11"
- HREF="node1.html">About this document ...</A>
-</UL>
-<!--End of Table of Child-Links-->
-<BR><HR>
-<ADDRESS>
-<I>Michel Goossens</I>
-<BR><I>1999-03-30</I>
-</ADDRESS>
-</BODY>
-</HTML>