diff options
Diffstat (limited to 'Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS')
30 files changed, 1169 insertions, 0 deletions
diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/WARNINGS b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/WARNINGS new file mode 100644 index 00000000000..9d1d9f764ee --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/WARNINGS @@ -0,0 +1,2 @@ + +redefining command \d diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/images.pl b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/images.pl new file mode 100644 index 00000000000..9a62f68699c --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/images.pl @@ -0,0 +1,139 @@ +# 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{$key} = q|<IMG + WIDTH="185" HEIGHT="51" ALIGN="MIDDLE" BORDER="0" + SRC="img6.gif" + ALT="$\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>2$">|; + +$key = q/{subequations}align{B_{ij}^alpha<col_mark>=left(B_{ij}^alpharight)_0+left(B_{ij}}{{d{X_i}frac{{d{N_k^alpha}{{d{X_j}right)align{{subequations};MSF=1.6;TAGS=R;AAT/; +$cached_env_img{$key} = q|<IMG + WIDTH="559" HEIGHT="159" ALIGN="BOTTOM" BORDER="0" + SRC="img21.gif" + ALT="\begin{subequations}\begin{align}B_{ij}^\alpha & = \left(B_{ij}^\alpha\right)_0 ... +...\beta}{\d X_i} \frac{\d N_k^\alpha}{\d X_j} \right)\end{align}\end{subequations}">|; + +$key = q/y=B(x);MSF=1.6;AAT/; +$cached_env_img{$key} = q|<IMG + WIDTH="68" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" + SRC="img14.gif" + ALT="$ y=B(x)$">|; + +$key = q/displaystyle=;MSF=1.6;AAT/; +$cached_env_img{$key} = q|<IMG + WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img2.gif" + ALT="$\displaystyle =$">|; + +$key = q/mathcal{N}(A)=mathcal{R}(B);MSF=1.6;AAT/; +$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="img5.gif" + ALT="$\displaystyle \lambda$">|; + +$key = q/displaystyle0.577215dotsmathrm{hspace{5mm}(Euler'sconstant)};MSF=1.6;AAT/; +$cached_env_img{$key} = q|<IMG + WIDTH="235" HEIGHT="33" ALIGN="MIDDLE" BORDER="0" + SRC="img8.gif" + ALT="$\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="img7.gif" + ALT="$\displaystyle \gamma$">|; + +$key = q/displaystyleleft<sum_iM_imathbf{V}_imathbf{V}_i+sum_isum_{j>i}mathbf{R}_{ij}mathbf{F}_{ij}right>;MSF=1.6;AAT/; +$cached_env_img{$key} = q|<IMG + WIDTH="233" HEIGHT="63" ALIGN="MIDDLE" BORDER="0" + SRC="img19.gif" + ALT="$\displaystyle \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i ++ \sum_i \sum_{j>i} \mathbf{R}_{ij} \mathbf{F}_{ij}\right>$">|; + +$key = q/displaystylegamma';MSF=1.6;AAT/; +$cached_env_img{$key} = q|<IMG + WIDTH="18" HEIGHT="33" ALIGN="MIDDLE" BORDER="0" + SRC="img9.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/displaystyleepsilon,bar{epsilon};MSF=1.6;AAT/; +$cached_env_img{$key} = q|<IMG + WIDTH="24" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img11.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< \sum_i M_i \mathbf{V}_i \mathbf{V}_i ++ \sum_{i}\sum_{j>i}\... +... j\beta} +- \sum_i \sum_\alpha \mathbf{p}_{i\alpha} \mathbf{f}_{i\alpha} \right>$">|; + +$key = q/displaystylecgeq0;MSF=1.6;AAT/; +$cached_env_img{$key} = q|<IMG + WIDTH="40" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img4.gif" + ALT="$\displaystyle c \geq 0$">|; + +$key = q/deltamathbf{c};MSF=1.6;AAT/; +$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="img10.gif" + ALT="$\displaystyle 0.422784\dots = 1 - \gamma$">|; + +$key = q/displaystylefrac{1}{2pii}int^{c+iinfty}_{c-iinfty}expleft(ulnu+lambdauright)du;MSF=1.6;AAT/; +$cached_env_img{$key} = q|<IMG + WIDTH="220" HEIGHT="58" ALIGN="MIDDLE" BORDER="0" + SRC="img3.gif" + ALT="$\displaystyle \frac{1} {2 \pi i}\int^{c+i\infty}_{c-i\infty} +\exp \left( u \ln u + \lambda u \right ) du$">|; + +$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}$">|; + +1; + diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/images.tex b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/images.tex new file mode 100644 index 00000000000..0d853551381 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/images.tex @@ -0,0 +1,276 @@ +\batchmode +\documentclass[a4paper,twoside]{article} + +\usepackage{html} +\usepackage{amsmath} + +% +\renewcommand{\d}{\partial}% +\providecommand{\bm}[1]{\mathbf{#1}}% +\providecommand{\Range}{\mathcal{R}}% +\providecommand{\Ker}{\mathcal{N}}% +\providecommand{\Quat}{\vec{\mathbf{Q}}} +% +\providecommand{\StAndrews}{\htmlurl{http://www-groups.dcs.st-and.ac.uk/~history}}%% +\providecommand{\Pythagorians}{\htmladdnormallink + {Pythagorians}{\htmlurl{http://www-groups.dcs.st-and.ac.uk/~history}/Mathematicians/Pythagoras.html}}% +\providecommand{\Fermat}{\htmladdnormallink + {Fermat, c.1637}{\htmlurl{http://www-groups.dcs.st-and.ac.uk/~history}/HistTopics/Fermat's_last_theorem.html}}% +\providecommand{\Wiles}{\htmladdnormallink + {Wiles, 1995}{\htmlurl{http://www.pbs.org:80/wgbh/nova/proof}}} + +\usepackage[dvips]{color} +\pagecolor[gray]{.7} + + + +\makeatletter + +\makeatletter +\count@=\the\catcode`\_ \catcode`\_=8 +\newenvironment{tex2html_wrap}{}{} \catcode`\_=\count@ +\newcommand{\renewedcommand}[1]{\expandafter\renewcommand\csname #1\endcsname}% +\makeatother +\let\mathon=$ +\let\mathoff=$ +\ifx\AtBeginDocument\undefined \newcommand{\AtBeginDocument}[1]{}\fi +\newbox\sizebox +\setlength{\hoffset}{0pt}\setlength{\voffset}{0pt} +\addtolength{\textheight}{\footskip}\setlength{\footskip}{0pt} +\addtolength{\textheight}{\topmargin}\setlength{\topmargin}{0pt} +\addtolength{\textheight}{\headheight}\setlength{\headheight}{0pt} +\addtolength{\textheight}{\headsep}\setlength{\headsep}{0pt} +\setlength{\textwidth}{349pt} +\newwrite\lthtmlwrite +\makeatletter +\let\realnormalsize=\normalsize +\global\topskip=2sp +\def\preveqno{}\let\real@float=\@float \let\realend@float=\end@float +\def\@float{\let\@savefreelist\@freelist\real@float} +\def\end@float{\realend@float\global\let\@freelist\@savefreelist} +\let\real@dbflt=\@dbflt \let\end@dblfloat=\end@float +\let\@largefloatcheck=\relax +\let\if@boxedmulticols=\iftrue +\def\@dbflt{\let\@savefreelist\@freelist\real@dbflt} +\def\adjustnormalsize{\def\normalsize{\mathsurround=0pt \realnormalsize + \parindent=0pt\abovedisplayskip=0pt\belowdisplayskip=0pt}% + \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 }% +\newcommand\lthtmlhboxmathB{\adjustnormalsize\setbox\sizebox=\hbox to\hsize\bgroup\hfill }% +\newcommand\lthtmlvboxmathA{\adjustnormalsize\setbox\sizebox=\vbox\bgroup % + \let\ifinner=\iffalse }% +\newcommand\lthtmlboxmathZ{\@next\next\@currlist{}{\def\next{\voidb@x}}% + \expandafter\box\next\egroup}% +\newcommand\lthtmlmathtype[1]{\def\lthtmlmathenv{#1}}% +\newcommand\lthtmllogmath{\lthtmltypeout{l2hSize % +:\lthtmlmathenv:\the\ht\sizebox::\the\dp\sizebox::\the\wd\sizebox.\preveqno}}% +\newcommand\lthtmlfigureA[1]{\let\@savefreelist\@freelist + \lthtmlmathtype{#1}\lthtmlvboxmathA}% +\newcommand\lthtmlpictureA[1]{\let\@savefreelist\@freelist + \lthtmlmathtype{#1}\lthtmlhboxmathB}% +\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)}% + \lthtmldisplayA{#1}\let\@eqnnum\relax}% +\newcommand\lthtmldisplayZ{\lthtmlboxmathZ\lthtmllogmath\lthtmlsetmath}% +\newcommand\lthtmlinlinemathA[1]{\lthtmlmathtype{#1}\lthtmlhboxmathA + \vrule height1.5ex width0pt }% +\newcommand\lthtmlinlineA[1]{\lthtmlmathtype{#1}\lthtmlhboxmathA}% +\newcommand\lthtmlinlineZ{\egroup\expandafter\ifdim\dp\sizebox>0pt % + \expandafter\centerinlinemath\fi\lthtmllogmath\lthtmlsetinline} +\newcommand\lthtmlinlinemathZ{\egroup\expandafter\ifdim\dp\sizebox>0pt % + \expandafter\centerinlinemath\fi\lthtmllogmath\lthtmlsetmath} +\newcommand\lthtmlindisplaymathZ{\egroup % + \centerinlinemath\lthtmllogmath\lthtmlsetmath} +\def\lthtmlsetinline{\hbox{\vrule width.1em\kern-.05em\vtop{\vbox{% + \kern.1em\copy\sizebox}\ifdim\dp\sizebox>0pt\kern.1em\else\kern.3pt\fi + \ifdim\hsize>\wd\sizebox \hrule depth1pt\fi}}} +\def\lthtmlsetmath{\hbox{\vrule width.1em\kern-.05em\vtop{\vbox{% + \kern.1em\kern0.8 pt\hbox{\hglue.17em\copy\sizebox\hglue0.8 pt}}\kern.3pt% + \ifdim\dp\sizebox>0pt\kern.1em\fi \kern0.8 pt% + \ifdim\hsize>\wd\sizebox \hrule depth1pt\fi}}} +\def\centerinlinemath{% + \dimen1=\ifdim\ht\sizebox<\dp\sizebox \dp\sizebox\else\ht\sizebox\fi + \advance\dimen1by.5pt \vrule width0pt height\dimen1 depth\dimen1 + \dp\sizebox=\dimen1\ht\sizebox=\dimen1\relax} + +\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 +\providecommand{\Mu}{\textrm{M}} +\providecommand{\Nu}{\textrm{N}} +\providecommand{\Chi}{\textrm{X}} +\providecommand{\Zeta}{\textrm{Z}} +\providecommand{\Alpha}{\textrm{A}} +\providecommand{\Omicron}{\textrm{O}} +\providecommand{\omicron}{\textrm{o}} +\providecommand{\Rho}{\textrm{R}} +\providecommand{\Tau}{\textrm{T}} +\providecommand{\Epsilon}{\textrm{E}} +\providecommand{\Eta}{\textrm{H}} +\providecommand{\Beta}{\textrm{B}} +\providecommand{\Iota}{\textrm{J}} +\providecommand{\Kappa}{\textrm{K}} + + +\begin{document} +\pagestyle{empty}\thispagestyle{empty}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength hsize=\the\hsize}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength vsize=\the\vsize}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength hoffset=\the\hoffset}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength voffset=\the\voffset}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength topmargin=\the\topmargin}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength topskip=\the\topskip}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength headheight=\the\headheight}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength headsep=\the\headsep}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength parskip=\the\parskip}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength oddsidemargin=\the\oddsidemargin}\lthtmltypeout{}% +\makeatletter +\if@twoside\lthtmltypeout{latex2htmlLength evensidemargin=\the\evensidemargin}% +\else\lthtmltypeout{latex2htmlLength evensidemargin=\the\oddsidemargin}\fi% +\lthtmltypeout{}% +\makeatother +\setcounter{page}{1} +\onecolumn + +% !!! IMAGES START HERE !!! + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay250}% +$\displaystyle \phi(\lambda)$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay252}% +$\displaystyle =$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay254}% +$\displaystyle \frac{1} {2 \pi i}\int^{c+i\infty}_{c-i\infty} +\exp \left( u \ln u + \lambda u \right ) du$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay255}% +$\displaystyle c \geq 0$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay257}% +$\displaystyle \lambda$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay261}% +$\displaystyle \frac{\epsilon -\bar{\epsilon} }{\xi} +- \gamma' - \beta^2 - \ln \frac{\xi} {E_{\rm max}}$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay263}% +$\displaystyle \gamma$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay267}% +$\displaystyle 0.577215\dots \mathrm{\hspace{5mm}(Euler's\ constant)}$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay269}% +$\displaystyle \gamma'$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay273}% +$\displaystyle 0.422784\dots = 1 - \gamma$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay275}% +$\displaystyle \epsilon , \bar{\epsilon}$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline280}% +$ \delta\mathbf{c}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline282}% +$ \mathcal{N}(A) = \mathcal{R}(B)$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline284}% +$ y=B(x)$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline286}% +$ a^2+b^2=c^2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline288}% +$ a^n+b^n=c^n$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline290}% +$ n>2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay293}% +$\displaystyle V \mathbf{\pi}^{sr}$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay297}% +$\displaystyle \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i ++ \sum_i \sum_{j>i} \mathbf{R}_{ij} \mathbf{F}_{ij}\right>$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay301}% +$\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} + +{\newpage\clearpage +\lthtmldisplayA{subequations303}% +\setcounter{equation}{6} +\begin{subequations}\begin{align} B_{ij}^\alpha & = \left(B_{ij}^\alpha\right)_0 + \left(B_{ij}^\alpha\right)_a\\ \left(B_{ij}^\alpha\right)_0 & = \frac{1}{2}\left(\frac{\d N_i^\alpha}{\d X_j} + \frac{\d N_j^\alpha} {\d X_i} \right)\\ \left(B_{ij}^\alpha\right)_a & = H_{ij}^{\alpha \beta} a^\beta\\ H_{ij}^{\alpha \beta} & = \frac{1}{2}\left( \frac{\d N_k^\alpha}{\d X_i} \frac{\d N_k^\beta}{\d X_j} + \frac{\d N_k^\beta}{\d X_i} \frac{\d N_k^\alpha}{\d X_j} \right)\end{align}\end{subequations}% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + + +\end{document} diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img1.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img1.gif Binary files differnew file mode 100644 index 00000000000..5916d47b1f4 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img1.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img10.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img10.gif Binary files differnew file mode 100644 index 00000000000..d6c384034b2 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img10.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img11.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img11.gif Binary files differnew file mode 100644 index 00000000000..c6187c1e01b --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img11.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img12.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img12.gif Binary files differnew file mode 100644 index 00000000000..f0b3d7892e0 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img12.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img13.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img13.gif Binary files differnew file mode 100644 index 00000000000..cbddfb5e467 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img13.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img14.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img14.gif Binary files differnew file mode 100644 index 00000000000..7de6ffffe7c --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img14.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img15.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img15.gif Binary files differnew file mode 100644 index 00000000000..a23285e2c3e --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img15.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img16.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img16.gif Binary files differnew file mode 100644 index 00000000000..7b38866db53 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img16.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img17.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img17.gif Binary files differnew file mode 100644 index 00000000000..9f0fe8adafe --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img17.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img18.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img18.gif Binary files differnew file mode 100644 index 00000000000..4e486403d4a --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img18.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img19.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img19.gif Binary files differnew file mode 100644 index 00000000000..bd46b0c6d74 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img19.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img2.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img2.gif Binary files differnew file mode 100644 index 00000000000..66f3d138c16 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img2.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img20.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img20.gif Binary files differnew file mode 100644 index 00000000000..bdac13b87dc --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img20.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img21.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img21.gif Binary files differnew file mode 100644 index 00000000000..995d6adb959 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img21.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img3.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img3.gif Binary files differnew file mode 100644 index 00000000000..a012a4948fc --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img3.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img4.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img4.gif Binary files differnew file mode 100644 index 00000000000..d273dc1386c --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img4.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img5.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img5.gif Binary files differnew file mode 100644 index 00000000000..f14284a35e3 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img5.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img6.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img6.gif Binary files differnew file mode 100644 index 00000000000..36994fdcdc7 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img6.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img7.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img7.gif Binary files differnew file mode 100644 index 00000000000..6159b5b246b --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img7.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img8.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img8.gif Binary files differnew file mode 100644 index 00000000000..50fa0647d8b --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img8.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img9.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img9.gif Binary files differnew file mode 100644 index 00000000000..f11b9866644 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/img9.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/index.html b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/index.html new file mode 100644 index 00000000000..0aa04db1519 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/index.html @@ -0,0 +1,279 @@ +<!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>sampleAMS</TITLE> +<META NAME="description" CONTENT="sampleAMS"> +<META NAME="keywords" CONTENT="sampleAMS"> +<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="sampleAMS.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"> + +<!-- 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 CELLPADDING="0" ALIGN="CENTER" 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)$"></TD> +<TD WIDTH="10" ALIGN="CENTER" NOWRAP><IMG + WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img2.gif" + ALT="$\displaystyle =$"></TD> +<TD ALIGN="LEFT" NOWRAP><IMG + WIDTH="220" HEIGHT="58" ALIGN="MIDDLE" BORDER="0" + SRC="img3.gif" + ALT="$\displaystyle \frac{1} {2 \pi i}\int^{c+i\infty}_{c-i\infty} +\exp \left( u \ln u + \lambda u \right ) du$"> for <IMG + WIDTH="40" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img4.gif" + ALT="$\displaystyle c \geq 0$"></TD> +<TD WIDTH=10 ALIGN="RIGHT"> +(1)</TD></TR> +<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG + WIDTH="13" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img5.gif" + ALT="$\displaystyle \lambda$"></TD> +<TD WIDTH="10" ALIGN="CENTER" NOWRAP><IMG + WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img2.gif" + ALT="$\displaystyle =$"></TD> +<TD ALIGN="LEFT" NOWRAP><IMG + WIDTH="185" HEIGHT="51" ALIGN="MIDDLE" BORDER="0" + SRC="img6.gif" + ALT="$\displaystyle \frac{\epsilon -\bar{\epsilon} }{\xi} +- \gamma' - \beta^2 - \ln \frac{\xi} {E_{\rm max}}$"></TD> +<TD WIDTH=10 ALIGN="RIGHT"> +(2)</TD></TR> +<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG + WIDTH="13" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img7.gif" + ALT="$\displaystyle \gamma$"></TD> +<TD WIDTH="10" ALIGN="CENTER" NOWRAP><IMG + WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img2.gif" + ALT="$\displaystyle =$"></TD> +<TD ALIGN="LEFT" NOWRAP><IMG + WIDTH="235" HEIGHT="33" ALIGN="MIDDLE" BORDER="0" + SRC="img8.gif" + ALT="$\displaystyle 0.577215\dots \mathrm{\hspace{5mm}(Euler's\ constant)}$"></TD> +<TD WIDTH=10 ALIGN="RIGHT"> +(3)</TD></TR> +<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG + WIDTH="18" HEIGHT="33" ALIGN="MIDDLE" BORDER="0" + SRC="img9.gif" + ALT="$\displaystyle \gamma'$"></TD> +<TD WIDTH="10" ALIGN="CENTER" NOWRAP><IMG + WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img2.gif" + ALT="$\displaystyle =$"></TD> +<TD ALIGN="LEFT" NOWRAP><IMG + WIDTH="143" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img10.gif" + ALT="$\displaystyle 0.422784\dots = 1 - \gamma$"></TD> +<TD WIDTH=10 ALIGN="RIGHT"> +(4)</TD></TR> +<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG + WIDTH="24" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img11.gif" + ALT="$\displaystyle \epsilon , \bar{\epsilon}$"></TD> +<TD WIDTH="10" ALIGN="CENTER" NOWRAP><IMG + WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img2.gif" + ALT="$\displaystyle =$"></TD> +<TD ALIGN="LEFT" NOWRAP>actual/average energy loss</TD> +<TD WIDTH=10 ALIGN="RIGHT"> +(5)</TD></TR> +</TABLE></DIV> +<BR CLEAR="ALL"><P></P> + +<P> +Since (<A HREF="sampleAMS.html#eqn:stress-sr">6</A>) or (<A HREF="sampleAMS.html#gdef">7d</A>) should 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 +<!-- MATH + $a^2+b^2=c^2$ + --> +<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 +<!-- MATH + $a^n+b^n=c^n$ + --> +<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>2$"> has long +been suspected (<A NAME="tex2html5" + HREF="http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Fermat's_last_theorem.html">Fermat, c.1637</A>). Only during the current decade has this been proved (<A NAME="tex2html6" + HREF="http://www.pbs.org:80/wgbh/nova/proof">Wiles, 1995</A>). + +<P> +<BR> +<DIV ALIGN="CENTER"><A NAME="eqn:stress-sr"></A> +<!-- MATH + \begin{eqnarray} +V \mathbf{\pi}^{sr} & = & \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i + + \sum_i \sum_{j>i} \mathbf{R}_{ij} \mathbf{F}_{ij}\right> \\\nonumber + & = & \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i + + \sum_{i}\sum_{j>i}\sum_\alpha\sum_\beta \mathbf{r}_{i\alpha j\beta}\mathbf{f}_{i\alpha j\beta} + - \sum_i \sum_\alpha \mathbf{p}_{i\alpha} \mathbf{f}_{i\alpha} \right> +\end{eqnarray} + --> + +<TABLE CELLPADDING="0" ALIGN="CENTER" WIDTH="100%"> +<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG + WIDTH="40" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img18.gif" + ALT="$\displaystyle V \mathbf{\pi}^{sr}$"></TD> +<TD WIDTH="10" ALIGN="CENTER" NOWRAP><IMG + WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img2.gif" + ALT="$\displaystyle =$"></TD> +<TD ALIGN="LEFT" NOWRAP><IMG + WIDTH="233" HEIGHT="63" ALIGN="MIDDLE" BORDER="0" + SRC="img19.gif" + ALT="$\displaystyle \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i ++ \sum_i \sum_{j>i} \mathbf{R}_{ij} \mathbf{F}_{ij}\right>$"></TD> +<TD WIDTH=10 ALIGN="RIGHT"> +(6)</TD></TR> +<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"> </TD> +<TD WIDTH="10" ALIGN="CENTER" NOWRAP><IMG + WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img2.gif" + ALT="$\displaystyle =$"></TD> +<TD ALIGN="LEFT" NOWRAP><IMG + WIDTH="418" HEIGHT="63" ALIGN="MIDDLE" BORDER="0" + SRC="img20.gif" + ALT="$\displaystyle \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i ++ \sum_{i}\sum_{j>i}\... +... j\beta} +- \sum_i \sum_\alpha \mathbf{p}_{i\alpha} \mathbf{f}_{i\alpha} \right>$"></TD> +<TD WIDTH=10 ALIGN="RIGHT"> + </TD></TR> +</TABLE></DIV> +<BR CLEAR="ALL"><P></P> + +<P> + +<DIV ALIGN="CENTER"><A NAME="bgdefs"></A><A NAME="bdef"></A><A NAME="b0def"></A><A NAME="budef"></A><A NAME="gdef"></A> +<!-- MATH + \begin{subequations} +\begin{align} B_{ij}^\alpha & = +\left(B_{ij}^\alpha\right)_0 + \left(B_{ij}^\alpha\right)_a\\ + \left(B_{ij}^\alpha\right)_0 & = \frac{1}{2}\left(\frac{\d N_i^\alpha}{\d X_j} + + \frac{\d N_j^\alpha} {\d X_i} \right)\\ + \left(B_{ij}^\alpha\right)_a & = H_{ij}^{\alpha \beta} a^\beta\\ + H_{ij}^{\alpha \beta} & = + \frac{1}{2}\left( \frac{\d N_k^\alpha}{\d X_i} \frac{\d N_k^\beta}{\d X_j} + + \frac{\d N_k^\beta}{\d X_i} \frac{\d N_k^\alpha}{\d X_j} \right)\end{align} +\end{subequations} + --> +<TABLE CELLPADDING="0" WIDTH="100%" ALIGN="CENTER"> +<TR VALIGN="MIDDLE"> +<TD NOWRAP ALIGN="CENTER"><IMG + WIDTH="559" HEIGHT="159" ALIGN="BOTTOM" BORDER="0" + SRC="img21.gif" + ALT="\begin{subequations}\begin{align}B_{ij}^\alpha & = \left(B_{ij}^\alpha\right)_0 ... +...\beta}{\d X_i} \frac{\d N_k^\alpha}{\d X_j} \right)\end{align}\end{subequations}"></TD></TR> +</TABLE></DIV> +<BR CLEAR="ALL"> +<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--> +<HR> +<!--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> +<!--End of Navigation Panel--> +<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/sampleAMS/internals.pl b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/internals.pl new file mode 100644 index 00000000000..694b45f8b36 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/internals.pl @@ -0,0 +1,30 @@ +# LaTeX2HTML 99.1 release (March 30, 1999) +# Associate internals original text with physical files. + + +$key = q/bdef/; +$ref_files{$key} = "$dir".q|sampleAMS.html|; +$noresave{$key} = "$nosave"; + +$key = q/b0def/; +$ref_files{$key} = "$dir".q|sampleAMS.html|; +$noresave{$key} = "$nosave"; + +$key = q/bgdefs/; +$ref_files{$key} = "$dir".q|sampleAMS.html|; +$noresave{$key} = "$nosave"; + +$key = q/eqn:stress-sr/; +$ref_files{$key} = "$dir".q|sampleAMS.html|; +$noresave{$key} = "$nosave"; + +$key = q/budef/; +$ref_files{$key} = "$dir".q|sampleAMS.html|; +$noresave{$key} = "$nosave"; + +$key = q/gdef/; +$ref_files{$key} = "$dir".q|sampleAMS.html|; +$noresave{$key} = "$nosave"; + +1; + diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/labels.pl b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/labels.pl new file mode 100644 index 00000000000..1fe4213e9c2 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/labels.pl @@ -0,0 +1,61 @@ +# LaTeX2HTML 99.1 release (March 30, 1999) +# Associate labels original text with physical files. + + +$key = q/bdef/; +$external_labels{$key} = "$URL/" . q|sampleAMS.html|; +$noresave{$key} = "$nosave"; + +$key = q/b0def/; +$external_labels{$key} = "$URL/" . q|sampleAMS.html|; +$noresave{$key} = "$nosave"; + +$key = q/bgdefs/; +$external_labels{$key} = "$URL/" . q|sampleAMS.html|; +$noresave{$key} = "$nosave"; + +$key = q/eqn:stress-sr/; +$external_labels{$key} = "$URL/" . q|sampleAMS.html|; +$noresave{$key} = "$nosave"; + +$key = q/budef/; +$external_labels{$key} = "$URL/" . q|sampleAMS.html|; +$noresave{$key} = "$nosave"; + +$key = q/gdef/; +$external_labels{$key} = "$URL/" . q|sampleAMS.html|; +$noresave{$key} = "$nosave"; + +1; + + +# LaTeX2HTML 99.1 release (March 30, 1999) +# labels from external_latex_labels array. + + +$key = q/bdef/; +$external_latex_labels{$key} = q|7a|; +$noresave{$key} = "$nosave"; + +$key = q/b0def/; +$external_latex_labels{$key} = q|7b|; +$noresave{$key} = "$nosave"; + +$key = q/bgdefs/; +$external_latex_labels{$key} = q|7|; +$noresave{$key} = "$nosave"; + +$key = q/eqn:stress-sr/; +$external_latex_labels{$key} = q|6|; +$noresave{$key} = "$nosave"; + +$key = q/budef/; +$external_latex_labels{$key} = q|7c|; +$noresave{$key} = "$nosave"; + +$key = q/gdef/; +$external_latex_labels{$key} = q|7d|; +$noresave{$key} = "$nosave"; + +1; + diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/node1.html b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/node1.html new file mode 100644 index 00000000000..1080090ecca --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/node1.html @@ -0,0 +1,72 @@ +<!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>About this document ...</TITLE> +<META NAME="description" CONTENT="About this document ..."> +<META NAME="keywords" CONTENT="sampleAMS"> +<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="sampleAMS.css"> + +<LINK REL="previous" HREF="sampleAMS.html"> +<LINK REL="up" HREF="sampleAMS.html"> +</HEAD> + +<BODY > +<!--Navigation Panel--> +<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" + SRC="/afs/cern.ch/project/tex/new/latex2html/icons.gif/next_motif_gr.gif"> +<A NAME="tex2html16" + HREF="sampleAMS.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> +<A NAME="tex2html12" + HREF="sampleAMS.html"> +<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" + SRC="/afs/cern.ch/project/tex/new/latex2html/icons.gif/previous_motif.gif"></A> +<BR> +<B> Up:</B> <A NAME="tex2html17" + HREF="sampleAMS.html">sampleAMS</A> +<B> Previous:</B> <A NAME="tex2html13" + HREF="sampleAMS.html">sampleAMS</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 © 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 © 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>sampleAMS</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/sampleAMS/sampleAMS.css b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/sampleAMS.css new file mode 100644 index 00000000000..1993b851311 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/sampleAMS.css @@ -0,0 +1,31 @@ + +/* 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/sampleAMS/sampleAMS.html b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/sampleAMS.html new file mode 100644 index 00000000000..0aa04db1519 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleAMS/sampleAMS.html @@ -0,0 +1,279 @@ +<!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>sampleAMS</TITLE> +<META NAME="description" CONTENT="sampleAMS"> +<META NAME="keywords" CONTENT="sampleAMS"> +<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="sampleAMS.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"> + +<!-- 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 CELLPADDING="0" ALIGN="CENTER" 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)$"></TD> +<TD WIDTH="10" ALIGN="CENTER" NOWRAP><IMG + WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img2.gif" + ALT="$\displaystyle =$"></TD> +<TD ALIGN="LEFT" NOWRAP><IMG + WIDTH="220" HEIGHT="58" ALIGN="MIDDLE" BORDER="0" + SRC="img3.gif" + ALT="$\displaystyle \frac{1} {2 \pi i}\int^{c+i\infty}_{c-i\infty} +\exp \left( u \ln u + \lambda u \right ) du$"> for <IMG + WIDTH="40" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img4.gif" + ALT="$\displaystyle c \geq 0$"></TD> +<TD WIDTH=10 ALIGN="RIGHT"> +(1)</TD></TR> +<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG + WIDTH="13" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img5.gif" + ALT="$\displaystyle \lambda$"></TD> +<TD WIDTH="10" ALIGN="CENTER" NOWRAP><IMG + WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img2.gif" + ALT="$\displaystyle =$"></TD> +<TD ALIGN="LEFT" NOWRAP><IMG + WIDTH="185" HEIGHT="51" ALIGN="MIDDLE" BORDER="0" + SRC="img6.gif" + ALT="$\displaystyle \frac{\epsilon -\bar{\epsilon} }{\xi} +- \gamma' - \beta^2 - \ln \frac{\xi} {E_{\rm max}}$"></TD> +<TD WIDTH=10 ALIGN="RIGHT"> +(2)</TD></TR> +<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG + WIDTH="13" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img7.gif" + ALT="$\displaystyle \gamma$"></TD> +<TD WIDTH="10" ALIGN="CENTER" NOWRAP><IMG + WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img2.gif" + ALT="$\displaystyle =$"></TD> +<TD ALIGN="LEFT" NOWRAP><IMG + WIDTH="235" HEIGHT="33" ALIGN="MIDDLE" BORDER="0" + SRC="img8.gif" + ALT="$\displaystyle 0.577215\dots \mathrm{\hspace{5mm}(Euler's\ constant)}$"></TD> +<TD WIDTH=10 ALIGN="RIGHT"> +(3)</TD></TR> +<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG + WIDTH="18" HEIGHT="33" ALIGN="MIDDLE" BORDER="0" + SRC="img9.gif" + ALT="$\displaystyle \gamma'$"></TD> +<TD WIDTH="10" ALIGN="CENTER" NOWRAP><IMG + WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img2.gif" + ALT="$\displaystyle =$"></TD> +<TD ALIGN="LEFT" NOWRAP><IMG + WIDTH="143" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img10.gif" + ALT="$\displaystyle 0.422784\dots = 1 - \gamma$"></TD> +<TD WIDTH=10 ALIGN="RIGHT"> +(4)</TD></TR> +<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG + WIDTH="24" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img11.gif" + ALT="$\displaystyle \epsilon , \bar{\epsilon}$"></TD> +<TD WIDTH="10" ALIGN="CENTER" NOWRAP><IMG + WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img2.gif" + ALT="$\displaystyle =$"></TD> +<TD ALIGN="LEFT" NOWRAP>actual/average energy loss</TD> +<TD WIDTH=10 ALIGN="RIGHT"> +(5)</TD></TR> +</TABLE></DIV> +<BR CLEAR="ALL"><P></P> + +<P> +Since (<A HREF="sampleAMS.html#eqn:stress-sr">6</A>) or (<A HREF="sampleAMS.html#gdef">7d</A>) should 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 +<!-- MATH + $a^2+b^2=c^2$ + --> +<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 +<!-- MATH + $a^n+b^n=c^n$ + --> +<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>2$"> has long +been suspected (<A NAME="tex2html5" + HREF="http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Fermat's_last_theorem.html">Fermat, c.1637</A>). Only during the current decade has this been proved (<A NAME="tex2html6" + HREF="http://www.pbs.org:80/wgbh/nova/proof">Wiles, 1995</A>). + +<P> +<BR> +<DIV ALIGN="CENTER"><A NAME="eqn:stress-sr"></A> +<!-- MATH + \begin{eqnarray} +V \mathbf{\pi}^{sr} & = & \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i + + \sum_i \sum_{j>i} \mathbf{R}_{ij} \mathbf{F}_{ij}\right> \\\nonumber + & = & \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i + + \sum_{i}\sum_{j>i}\sum_\alpha\sum_\beta \mathbf{r}_{i\alpha j\beta}\mathbf{f}_{i\alpha j\beta} + - \sum_i \sum_\alpha \mathbf{p}_{i\alpha} \mathbf{f}_{i\alpha} \right> +\end{eqnarray} + --> + +<TABLE CELLPADDING="0" ALIGN="CENTER" WIDTH="100%"> +<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"><IMG + WIDTH="40" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img18.gif" + ALT="$\displaystyle V \mathbf{\pi}^{sr}$"></TD> +<TD WIDTH="10" ALIGN="CENTER" NOWRAP><IMG + WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img2.gif" + ALT="$\displaystyle =$"></TD> +<TD ALIGN="LEFT" NOWRAP><IMG + WIDTH="233" HEIGHT="63" ALIGN="MIDDLE" BORDER="0" + SRC="img19.gif" + ALT="$\displaystyle \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i ++ \sum_i \sum_{j>i} \mathbf{R}_{ij} \mathbf{F}_{ij}\right>$"></TD> +<TD WIDTH=10 ALIGN="RIGHT"> +(6)</TD></TR> +<TR VALIGN="MIDDLE"><TD NOWRAP ALIGN="RIGHT"> </TD> +<TD WIDTH="10" ALIGN="CENTER" NOWRAP><IMG + WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img2.gif" + ALT="$\displaystyle =$"></TD> +<TD ALIGN="LEFT" NOWRAP><IMG + WIDTH="418" HEIGHT="63" ALIGN="MIDDLE" BORDER="0" + SRC="img20.gif" + ALT="$\displaystyle \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i ++ \sum_{i}\sum_{j>i}\... +... j\beta} +- \sum_i \sum_\alpha \mathbf{p}_{i\alpha} \mathbf{f}_{i\alpha} \right>$"></TD> +<TD WIDTH=10 ALIGN="RIGHT"> + </TD></TR> +</TABLE></DIV> +<BR CLEAR="ALL"><P></P> + +<P> + +<DIV ALIGN="CENTER"><A NAME="bgdefs"></A><A NAME="bdef"></A><A NAME="b0def"></A><A NAME="budef"></A><A NAME="gdef"></A> +<!-- MATH + \begin{subequations} +\begin{align} B_{ij}^\alpha & = +\left(B_{ij}^\alpha\right)_0 + \left(B_{ij}^\alpha\right)_a\\ + \left(B_{ij}^\alpha\right)_0 & = \frac{1}{2}\left(\frac{\d N_i^\alpha}{\d X_j} + + \frac{\d N_j^\alpha} {\d X_i} \right)\\ + \left(B_{ij}^\alpha\right)_a & = H_{ij}^{\alpha \beta} a^\beta\\ + H_{ij}^{\alpha \beta} & = + \frac{1}{2}\left( \frac{\d N_k^\alpha}{\d X_i} \frac{\d N_k^\beta}{\d X_j} + + \frac{\d N_k^\beta}{\d X_i} \frac{\d N_k^\alpha}{\d X_j} \right)\end{align} +\end{subequations} + --> +<TABLE CELLPADDING="0" WIDTH="100%" ALIGN="CENTER"> +<TR VALIGN="MIDDLE"> +<TD NOWRAP ALIGN="CENTER"><IMG + WIDTH="559" HEIGHT="159" ALIGN="BOTTOM" BORDER="0" + SRC="img21.gif" + ALT="\begin{subequations}\begin{align}B_{ij}^\alpha & = \left(B_{ij}^\alpha\right)_0 ... +...\beta}{\d X_i} \frac{\d N_k^\alpha}{\d X_j} \right)\end{align}\end{subequations}"></TD></TR> +</TABLE></DIV> +<BR CLEAR="ALL"> +<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--> +<HR> +<!--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> +<!--End of Navigation Panel--> +<ADDRESS> +<I>Michel Goossens</I> +<BR><I>1999-03-30</I> +</ADDRESS> +</BODY> +</HTML> |