diff options
author | Karl Berry <karl@freefriends.org> | 2006-05-30 23:34:04 +0000 |
---|---|---|
committer | Karl Berry <karl@freefriends.org> | 2006-05-30 23:34:04 +0000 |
commit | 1533cfd2d6411f61a83779d62ac8b21962845e6e (patch) | |
tree | d3975f0973767ea8d503159bc2dc239a5d03f227 /Master/texmf-doc | |
parent | 24892d808a492bd42bb04bcda54fd23fdeb1c191 (diff) |
update voss mathmode doc
git-svn-id: svn://tug.org/texlive/trunk@1623 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-doc')
22 files changed, 10149 insertions, 35 deletions
diff --git a/Master/texmf-doc/doc/english/mathmode/Changes b/Master/texmf-doc/doc/english/mathmode/Changes index 254ee0bfc66..1c79da3282f 100644 --- a/Master/texmf-doc/doc/english/mathmode/Changes +++ b/Master/texmf-doc/doc/english/mathmode/Changes @@ -1,5 +1,9 @@ ..... Mathmode.ltx|tex|bib|ist +2.13 2006-05-29 typos and adding a font demo section +2.12 2006-05-17 typos and changes to the bib file +2.11 2006-03-12 fix bug with \biggm +2.10 2005-12-22 new section "Problems with amsmath" 2.09 2005-10-24 fix problem with braket package 2.08 2005-10-21 example for linear equation matrix typos diff --git a/Master/texmf-doc/doc/english/mathmode/EuScript.eps b/Master/texmf-doc/doc/english/mathmode/EuScript.eps new file mode 100644 index 00000000000..b2a8de26859 --- /dev/null +++ b/Master/texmf-doc/doc/english/mathmode/EuScript.eps @@ -0,0 +1,1462 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: xpdf/pdftops 3.00 +%%LanguageLevel: 2 +%%BoundingBox: 0 0 275 11 +%%DocumentSuppliedResources: (atend) +%%EndComments +%%BeginProlog +%%BeginResource: procset xpdf 3.00 0 +/xpdf 75 dict def xpdf begin +% PDF special state +/pdfDictSize 15 def +/pdfSetup { + 3 1 roll 2 array astore + /setpagedevice where { + pop 3 dict begin + /PageSize exch def + /ImagingBBox null def + /Policies 1 dict dup begin /PageSize 3 def end def + { /Duplex true def } if + currentdict end setpagedevice + } { + pop pop + } ifelse +} def +/pdfStartPage { + pdfDictSize dict begin + /pdfFill [0] def + /pdfStroke [0] def + /pdfLastFill false def + /pdfLastStroke false def + /pdfTextMat [1 0 0 1 0 0] def + /pdfFontSize 0 def + /pdfCharSpacing 0 def + /pdfTextRender 0 def + /pdfTextRise 0 def + /pdfWordSpacing 0 def + /pdfHorizScaling 1 def + /pdfTextClipPath [] def +} def +/pdfEndPage { end } def +% separation convention operators +/findcmykcustomcolor where { + pop +}{ + /findcmykcustomcolor { 5 array astore } def +} ifelse +/setcustomcolor where { + pop +}{ + /setcustomcolor { + exch + [ exch /Separation exch dup 4 get exch /DeviceCMYK exch + 0 4 getinterval cvx + [ exch /dup load exch { mul exch dup } /forall load + /pop load dup ] cvx + ] setcolorspace setcolor + } def +} ifelse +/customcolorimage where { + pop +}{ + /customcolorimage { + gsave + [ exch /Separation exch dup 4 get exch /DeviceCMYK exch + 0 4 getinterval + [ exch /dup load exch { mul exch dup } /forall load + /pop load dup ] cvx + ] setcolorspace + 10 dict begin + /ImageType 1 def + /DataSource exch def + /ImageMatrix exch def + /BitsPerComponent exch def + /Height exch def + /Width exch def + /Decode [1 0] def + currentdict end + image + grestore + } def +} ifelse +% PDF color state +/sCol { + pdfLastStroke not { + pdfStroke aload length + dup 1 eq { + pop setgray + }{ + dup 3 eq { + pop setrgbcolor + }{ + 4 eq { + setcmykcolor + }{ + findcmykcustomcolor exch setcustomcolor + } ifelse + } ifelse + } ifelse + /pdfLastStroke true def /pdfLastFill false def + } if +} def +/fCol { + pdfLastFill not { + pdfFill aload length + dup 1 eq { + pop setgray + }{ + dup 3 eq { + pop setrgbcolor + }{ + 4 eq { + setcmykcolor + }{ + findcmykcustomcolor exch setcustomcolor + } ifelse + } ifelse + } ifelse + /pdfLastFill true def /pdfLastStroke false def + } if +} def +% build a font +/pdfMakeFont { + 4 3 roll 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All Rights Reserved. +11 dict begin +/FontInfo 7 dict dup begin +/version (2.1) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. 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Manuscripts}, @Manual{expressionsI, Title= {Ecrire des mathématiques avec \LaTeX}, Author = {David Cobac}, - Address = {\url{http://crdp.ac-lille.fr/crdp2003/archives/latex/Ateliers/Atelier2/prepDocMaths.pdf}}, + Address = {\url{http://dcobac.free.fr/latex/prepDocMaths.pdf}}, Note = {}, year = {2004}, } @@ -133,7 +133,7 @@ Manuscripts}, @Manual{expressionsII, Title= {Atelier documents mathématiques}, Author = {David Cobac}, - Address = {\url{http://crdp.ac-lille.fr/crdp2003/archives/latex/Ateliers/Atelier2/Presentation4.pdf}}, + Address = {\url{http://dcobac.free.fr/latex/Presentation4.pdf}}, Note = {}, year = {2004}, } diff --git a/Master/texmf-doc/doc/english/mathmode/Mathmode.ltx b/Master/texmf-doc/doc/english/mathmode/Mathmode.ltx index ca4585d2e2c..bd67949a2bf 100644 --- a/Master/texmf-doc/doc/english/mathmode/Mathmode.ltx +++ b/Master/texmf-doc/doc/english/mathmode/Mathmode.ltx @@ -295,6 +295,21 @@ \def\cIndex#1{\index{#1@\CMD{#1}}} \def\pIndex#1{\index{Parameter@\textbf{Parameter}!{\UrlFont\texttt{#1}}}} \def\PIndex#1{\index{Paket@\textbf{Paket}!\texttt{#1}}} +\def\Index#1{#1\index{#1}} +\def\CIndex#1{\CMD{#1}\index{#1@\CMD{#1}}\index{Makro@\textbf{Makro}!\CMD{#1}}} +\def\DIndex#1{\texttt{#1}\index{#1@\texttt{#1}}\index{Datei@\textbf{Datei}!\texttt{#1}}} +\def\LIndex#1{\CMD{#1}\index{#1@\CMD{#1}}\index{Laenge@\textbf{Länge}!\CMD{#1}}} +\def\ZIndex#1{\texttt{#1}\index{#1@\texttt{#1}}\index{Zähler@\textbf{Zähler}!\texttt{#1}}} +\def\zIndex#1{\index{#1@\texttt{#1}}\index{Zähler@\textbf{Zähler}!\texttt{#1}}} +\def\FIndex#1{\texttt{#1}\index{#1@\texttt{#1}}\index{Font@\textbf{Font}!\texttt{#1}}} +\def\UIndex#1{\texttt{#1}-Umgebung\index{Umgebung@\textbf{Umgebung}!\texttt{#1}}\index{#1@\texttt{#1}}} +\def\uIndex#1{\texttt{#1}\index{Umgebung@\textbf{Umgebung}!\texttt{#1}}\index{#1@\texttt{#1}}} +% +% +\def\Mbox#1{\par +\vspace{2ex} +\noindent +\resizebox{\linewidth}{!}{\fbox{\includegraphics{#1}}}\par\medskip} \usepackage{braket}% there were problems when loading before other packages ... diff --git a/Master/texmf-doc/doc/english/mathmode/Mathmode.pdf b/Master/texmf-doc/doc/english/mathmode/Mathmode.pdf Binary files differindex 5d33ec9bc14..a30ce9b1125 100644 --- a/Master/texmf-doc/doc/english/mathmode/Mathmode.pdf +++ b/Master/texmf-doc/doc/english/mathmode/Mathmode.pdf diff --git a/Master/texmf-doc/doc/english/mathmode/Mathmode.tex b/Master/texmf-doc/doc/english/mathmode/Mathmode.tex index 5fde86ff401..55324a19915 100644 --- a/Master/texmf-doc/doc/english/mathmode/Mathmode.tex +++ b/Master/texmf-doc/doc/english/mathmode/Mathmode.tex @@ -13,14 +13,16 @@ %% DESCRIPTION: %% `Mathmode' is a document how the math mode works inside LaTeX %% -\def\MathmodeVersion{2.09} -\ifvtex\title{\logo Math mode - v.\MathmodeVersion}\else +\def\MathmodeVersion{2.13} +%\ifvtex\title{\logo Math mode - v.\MathmodeVersion}\else \ifpdf\title{Math mode - v.\MathmodeVersion}\else - \title{\logo Math mode - v.\MathmodeVersion}\fi\fi + \title{\logo Math mode - v.\MathmodeVersion}\fi%\fi % \author{Herbert Vo\ss\footnote{\sloppy Thanks for the feedback to: Hendri Adriaens; - Alexander Boronka; Christian Faulhammer; Jos\'e{} Luis G\'omez Dans; + Alexander Boronka; Walter Brown; + Christian Faulhammer; Jos\'e{} Luis G\'omez Dans; + Zongbao Fang; Azzam Hassam; Martin Hensel; Morten H\o{}gholm; M. Kalidoss; Dan Lasley; Angus Leeming; Tim Love; @@ -32,6 +34,7 @@ Carsten Thiel; David Weenink; Zou Yuan-Chuan; + Philipp Wook; Michael Zedler; and last but not least a special thanks to Monika Hattenbach for her excellent job of proofreading. @@ -41,14 +44,18 @@ \maketitle \begin{abstract} -More than once people say that \TeX{} was designed for mathematical or technical purpose. -This maybe true when we remember the reasons why Donald Knuth created \TeX{}. But nowadays -there are a lot -of examples where \TeX{} was used for publications without any mathematical or technical background. -Nevertheless, we have to consider, that writing publications with a lot of mathematical -material is one of the important advantages of \TeX{} and it seems that is impossible to +It is often said that \TeX{} was designed for mathematical or technical purposes. +This may be true when we remember the reasons why Donald Knuth created \TeX{}. But nowadays +there are many examples in which \TeX\ is + used for publications with no mathematical or technical background content. However, +%we have to consider, that +writing publications with such %a lot of mathematical +material is one of the important advantages of \TeX{}. Because it +seems impossible to know all existing macros and options of \AllTeX{} and the several additional packages, -especially \AmSmath. This is the reason why I tried to collect all important +especially of \AmSmath. This is the reason why I have attempted to gather +all the relevant +%I tried to collect all important facts in this paper. \vspace{3cm} @@ -66,6 +73,7 @@ in directory \url{CTAN://macros/latex/base/lppl.txt}. \end{abstract} + \clearpage \tableofcontents{} @@ -183,7 +191,7 @@ All commands which appear in positions like contents, index, header, \texttt{robust} means that the macro is not expanded before it is moved into for example the tableofcontents file (\texttt{*.toc}). No robustness is often a problem, when a macro is part of another macro.} -which is the case for \verb+$...$+ but not for \verb+\(\...\)+. +which is the case for \verb+$...$+ but not for \verb+\(...\)+. If you do not have any contents, index, a.s.o. you can write the mathstuff in \CMD{chapter}\index{chapter@\textbackslash chapter}, \CMD{section}\index{section@\textbackslash section}, @@ -1313,7 +1321,7 @@ $\bigg[\bigg]$ $\biggl/\bigg\backslash\bigg\{\bigg\}$% $\bigg|$ $\bigg\Vert$ $\bigg\lfloor\bigg\rfloor$ $\bigg\lceil\bigg\rceil$ $\bigg\langle\bigg\rangle$ $\bigg\uparrow\bigg\Uparrow$ $\bigg\downarrow\bigg\Downarrow$ $\bigg\updownarrow\bigg\Updownarrow$\\[8pt] -\CMD{Big}gX & $\Bigg(\Bigg)$ +\CMD{BiggX} & $\Bigg(\Bigg)$ $\Bigg[\Bigg]$ $\Biggl/\Bigg\backslash\Bigg\{\Bigg\}$ $\Bigg|$ $\Bigg\Vert$ $\Bigg\lfloor\Bigg\rfloor$ $\Bigg\lceil\Bigg\rceil$ $\Bigg\langle\Bigg\rangle$ @@ -1345,19 +1353,25 @@ and so on, which only makes sense when writing things like: \LaTeX{} takes the \verb|\biggl)| as a mathopen symbol, which has by default another horizontal spacing. -In addition to the above additional commands there exist some more: -\CMD{bigm}\index{bigm@\textbackslash bigm}, \CMD{Bigm}\index{Bigm@\textbackslash Bigm}, \CMD{biggm}\index{biggm@\textbackslash biggm} and \CMD{Biggm}\index{Biggm@\textbackslash Biggm}, +In addition to the above commands there exist some more: +\CMD{bigm}\index{bigm@\textbackslash bigm}, \CMD{Bigm}\index{Bigm@\textbackslash Bigm}, +\CMD{biggm}\index{biggm@\textbackslash biggm} and \CMD{Biggm}\index{Biggm@\textbackslash Biggm}, which work as the standard ones (without the addtional ``m{}'') but add some more horizontal space% \marginpar{\CMD{bigmX}\\\CMD{bigmX}} between the delimiter and the formula before and after (see table \ref{cap:Difference-between-the-bigg}). + + +%$3\bigg|a^2-b^2-c^2\bigg|+2$ +%$3\biggm|a^2-b^2-c^2\biggm|+2$ + \begin{table}[htb] \begin{showexample} -$3\bigg|a^2-b^2-c^2\bigg|+2$ +$\bigg(\dfrac{1}{3}\bigg|\dfrac{3}{4}\bigg)$ \end{showexample} \vspace{-15pt} \begin{showexample} -$3\biggm|a^2-b^2-c^2\biggm|+2$ +$\bigg(\dfrac{1}{3}\biggm|\dfrac{3}{4}\bigg)$ \end{showexample} \caption{Difference between the default \CMD{bigg} and the \CMD{biggm} command}\label{cap:Difference-between-the-bigg} @@ -1653,7 +1667,6 @@ replaced for the XX. See section \vref{sec:euscript.sty} for additional packages \begin{table}[htb] \includegraphics{styles} - \iffalse %\vspace{0.5ex} %\rule{0.3\columnwidth}{0.5pt}\\ @@ -1701,7 +1714,6 @@ $\mathbf{abcdefghijklmnopqrstuvwxyz}$\tabularnewline \end{tabularx} \end{minipage} \fi - \caption{Fonts in math mode}\label{cap:Fonts-in-math-mode} \end{table} @@ -1874,7 +1886,7 @@ Another possibilty is to use the \verb+numprint+ package.\footnote{% \subsection{Dot versus comma}\label{subsec:dot-comma} \marginpar{\CMD{mathpunct}\\\CMD{mathord}}% -In difference to a decimal point\index{decimal point} and a \index{comma}comma as a marker of thousends a lot of +In difference to a decimal point\index{decimal point} and a \index{comma}comma as a marker of thousands a lot of countries prefer it vice versa. To get the same behaviour the meaning of \index{dot}dot and comma has to be changed: @@ -2500,7 +2512,7 @@ lower & default & upper & default & \verb|\mathbf| & \verb|\mathit|\\\hline \verb|\vartheta| & $\vartheta$\\ \verb|\iota| & $\iota$\\ \verb|\kappa| & $\kappa$\\ -\verb|\delta| & $\lambda$ +\verb|\lamda| & $\lambda$ & \verb|\Lambda| & $\Lambda$ & $\mathbf{\Lambda}$ & $\mathit{\Lambda}$\\ \verb|\mu| & $\mu$ \\ \verb|\nu| & $\nu$\\ @@ -2903,6 +2915,10 @@ in two parts. In general the ampersand should be before the symbol to get the ri \verb+y &= x+. Compare the following three equations, the second one has a wrong spacing. %%% ----- Martin ----- +\noindent +~\hfill\includegraphics{amsalign} + +\iffalse \begin{minipage}{0.4\linewidth} \begin{align} \rnode[lt]{a}{y} &= \rnode[rt]{A}{x} @@ -2925,6 +2941,7 @@ y =& x y ={}& x \end{lstlisting} \end{minipage} +\fi \subsection{The default \texttt{align} environment} @@ -3066,7 +3083,7 @@ i_{31} & =0.33i_{22} \medskip As seen, the equations are not really left aligned, when they have only one ampersand. In this case \verb+flalign+ has the same behaviour as the \verb+align+ -environment. +environment.\index{Alignment!left}\index{Indentation} When there are more than one tabbing characters (\verb+&+), then the equations are @@ -4489,6 +4506,58 @@ $\overset{over}{baseline}$\tabularnewline \CMD{underset} is a useful macro for having limits under non-operators (see page~\pageref{sec:amsopn}). %%% ----- Martin ----- +\section{Problems with \texttt{amsmath}} +\AmSmath{} is an excellent package with some "'funny features"`. +When using an \verb+align+ environment inside a \verb+gather+ environment, it should +be centered just like the other lines. This is only true, when there is a number/tag or +an additional ampersand: + + +\begin{LTXexample}[pos=t] +\begin{gather*} + \begin{align*} + m_2 &= m_2' + m_2''\\ + &= \frac{V_2'}{v_2'} + \frac{V_2''}{v_2''} + \end{align*}\\ + \Rightarrow m_2 v_2' = V - V_2'' + V_2''\frac{v_2'}{v_2''}\\ +\end{gather*} +\begin{gather*} + \begin{align*} + m_2 &= m_2' + m_2''\\ + &= \frac{V_2'}{v_2'} + \frac{V_2''}{v_2''} & %<<<==== + \end{align*}\\ + \Rightarrow m_2 v_2' = V - V_2'' + V_2''\frac{v_2'}{v_2''}\\ +\end{gather*} +\end{LTXexample} + + + +This effect depends to the horizontal width, which is wrong in the first example, +in fact of a missing tag or number the right whitespace is cut, but the left one +is still there. The additional ampersand prevents \AmSmath{} to change the right +margin. + +Another kind of curiousity is the following example, which depends to the +same problem of cutting whitespace only on one side. + +\begin{LTXexample}[pos=t] +\fbox{% +\begin{minipage}{10cm} +\begin{align*} + a&=b \\ c&=d +\end{align*} +\end{minipage}} + +\fbox{% +\begin{minipage}{10cm} +\noindent\begin{align*} + a&=b \\ c&=d +\end{align*} +\end{minipage}} +\end{LTXexample} + + + \part{\TeX{} and math} @@ -4571,14 +4640,16 @@ $\delimitershortfall-1pt \subsection{\CMD{displayindent}} -\cIndex{displayindent}This is the left shift amount of a line holding displayed equation. By default it is $0pt$ but -gets the value of an indented paragraph when there is an environment like the quotation one. +\cIndex{displayindent}This is the left shift amount of a line holding displayed equation. +By default it is $0pt$ but +gets the value of an indented paragraph when there is an environment like the quotation one.\index{Indentation} The following formula is typeset in the usual way without modifying anything. \[ f(x) = \int \frac{\sin x}{x}dx \] -Now we start a quotation environment which sets \verb+\labelwidth+ to new values for a greater %%% ----- Martin ----- +Now we start a quotation environment which sets \verb+\labelwidth+ to new values for a +greater %%% ----- Martin ----- left margin. \begin{itemize} @@ -4603,7 +4674,8 @@ the negative \verb+\labelwidth+: \end{lstlisting} \subsection{\CMD{displaywidth}} -\cIndex{displaywidth}The width of the line holding a displayed equation, which is by default \verb+\linewidth+. In the +\cIndex{displaywidth}The width of the line holding a displayed equation, which is by default +\verb+\linewidth+. In the second example the formula is centered for a display width of \verb+0.5\linewidth+. \[ f(x) = \int \frac{\sin x}{x}dx \] @@ -4712,6 +4784,10 @@ $\tdela x-y\tdelb(x+y)=x^2-y^2$ possible families of fonts. \verb+\fam+ in an internal register where other macros can check which font is the actual one. At the beginning \TeX{} starts with \verb+\fam=-1+. \bigskip +\noindent +\includegraphics{family} +\iffalse + \begin{center} \begin{tabular}{ll} \verb+\fam=-1+ & $\fam=-1 123abcABC\alpha\beta\gamma$\\ @@ -4733,7 +4809,7 @@ $\mathtt{123abcABC\alpha\beta\gamma (\the\fam)}$\\[5pt] $\mathsf{123abcABC\alpha\beta\gamma (\the\fam)}$\\[5pt] $\mathnormal{123abcABC\alpha\beta\gamma (\the\fam)}$ \end{showexample} - +\fi \subsection{\CMD{mathaccent}} \cIndex{mathaccent}Requires three parameter as one number, the class, the font family and the character. @@ -5569,8 +5645,9 @@ they come with the \AmSmath packages. Otherwise get them from CTAN% letters: \begin{center} -\texttt{\textbackslash{}mathscr\{...\}}\index{EuScript@\textbackslash EuScript} -{$\EuScript{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$} +\includegraphics{EuScript} +%\texttt{\textbackslash{}mathscr\{...\}}\index{EuScript@\textbackslash EuScript} +%{$\EuScript{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$} \end{center} Read the documentation for the interdependence to the %%% ----- Martin ----- @@ -5663,6 +5740,41 @@ This matrix was created with \] \end{lstlisting} +\part{Math fonts} +Typesetting text and math is far different. There exist a lot of free text fonts without +additional math characters. This is the reason why we have to buy a commercial math font, e.\,g. +\Index{Palatino} (\verb+pamath+) or \Index{Helvetica} (\verb+hvmath+), or to combine the free texttt font with another free math font. + +\section{Computer modern} +This is the default font, designed by Knuth.\index{cmr}\index{Computer modern} For the PDF output +the Type 1 fonts cm-super and BlueSkye were used. + +\Mbox{cm-crop} + +\section{Latin modern} +This is the new designed font which comes with an own Type 1 version.\index{lm}\index{Latin modern} + +\Mbox{lm-crop} + +\section{Palatino} +There is a free package mathpazo.\index{mathpazo}\index{Palatino} + +\Mbox{pazo-crop} + +\section{Palatino -- microimp} +There is the package \verb+pamath+ for the nonfree palatino font.\index{mathpazo}\index{Palatino} + +\Mbox{pamath-crop} + +\section{cmbright} + +\Mbox{cmbright-crop} + +\section{minion} + +\Mbox{minionpro-crop} + + \part{Special symbols} @@ -5903,6 +6015,25 @@ y_n & x_{n1} & x_{n2} & x_{n3} & \dots & x_{(n-1)(n-1)} & x_{nn} \] \end{LTXexample} +\subsection{Matrix with comments on top} + + +\begin{LTXexample}[width=0.35\linewidth] +\def\rb#1{\rotatebox{90}{$\xleftarrow{#1}$}} +\begin{tabular}{c} +$\begin{matrix} +\rb{text1}&\rb{text1}&\rb{text1}&\rb{text1}\\ +\end{matrix}$\\ +$\begin{bmatrix} +X_x & Y_x & Z_x & T_x \\ +X_y & Y_y & Z_y & T_y \\ +X_z & Y_z & Z_z & T_z \\ +0 & 0 & 0 & 1 +\end{bmatrix}$ +\end{tabular} +\end{LTXexample} + + \section{Cases structure} \index{Cases!numbered lines}Sometimes it is better to use the array environment instead of amsmath's %%% ----- Martin ----- @@ -6240,8 +6371,9 @@ In general there is no difference in coloring tabular or array cells. The follow shows how one can put \index{color}colors in rows, columns and cells. \index{rowcolor@\textbackslash rowcolor}\index{columncolor@\textbackslash columncolor} -\medskip -\includegraphics[width=\columnwidth]{colArray} +\medskip\noindent +\includegraphics[width=\columnwidth]{colArray.pdf} + %\[ %\left[\, %\begin{array}{*{5}{>{\columncolor[gray]{0.95}}c}} diff --git a/Master/texmf-doc/doc/english/mathmode/amsalign.eps b/Master/texmf-doc/doc/english/mathmode/amsalign.eps new file mode 100644 index 00000000000..c96df127ddc --- /dev/null +++ b/Master/texmf-doc/doc/english/mathmode/amsalign.eps @@ -0,0 +1,1574 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: xpdf/pdftops 3.00 +%%LanguageLevel: 2 +%%BoundingBox: 0 0 238 50 +%%DocumentSuppliedResources: (atend) +%%EndComments +%%BeginProlog +%%BeginResource: procset xpdf 3.00 0 +/xpdf 75 dict def xpdf begin +% PDF special state +/pdfDictSize 15 def +/pdfSetup { + 3 1 roll 2 array astore + /setpagedevice where { + pop 3 dict begin + /PageSize exch def + /ImagingBBox null def + /Policies 1 dict dup begin /PageSize 3 def end def + { /Duplex true def } if + currentdict end setpagedevice + } { + pop pop + } ifelse +} def +/pdfStartPage { + pdfDictSize dict begin + /pdfFill [0] def + /pdfStroke [0] def + /pdfLastFill false def + /pdfLastStroke false def + /pdfTextMat [1 0 0 1 0 0] def + /pdfFontSize 0 def + /pdfCharSpacing 0 def + /pdfTextRender 0 def + /pdfTextRise 0 def + /pdfWordSpacing 0 def + /pdfHorizScaling 1 def + /pdfTextClipPath [] def +} def +/pdfEndPage { end } def +% separation convention operators +/findcmykcustomcolor where { + pop +}{ + /findcmykcustomcolor { 5 array astore } def +} ifelse +/setcustomcolor where { + pop +}{ + /setcustomcolor { + exch + [ exch /Separation exch dup 4 get exch /DeviceCMYK exch + 0 4 getinterval cvx + [ exch /dup load exch { mul exch dup } /forall load + /pop load dup ] cvx + ] setcolorspace setcolor + } def +} ifelse +/customcolorimage where { + pop +}{ + /customcolorimage { + gsave + [ exch /Separation exch dup 4 get exch /DeviceCMYK exch + 0 4 getinterval + [ exch /dup load exch { mul exch dup } /forall load + /pop load dup ] cvx + ] setcolorspace + 10 dict begin + /ImageType 1 def + /DataSource exch def + /ImageMatrix exch def + /BitsPerComponent exch def + /Height exch def + /Width exch def + /Decode [1 0] def + currentdict end + image + grestore + } def +} ifelse +% PDF color state +/sCol { + pdfLastStroke not { + pdfStroke aload length + dup 1 eq { + pop setgray + }{ + dup 3 eq { + pop setrgbcolor + }{ + 4 eq { + setcmykcolor + }{ + findcmykcustomcolor exch setcustomcolor + } ifelse + } ifelse + } ifelse + /pdfLastStroke true def /pdfLastFill false def + } if +} def +/fCol { + pdfLastFill not { + pdfFill aload length + dup 1 eq { + pop setgray + }{ + dup 3 eq { + pop setrgbcolor + }{ + 4 eq { + setcmykcolor + }{ + findcmykcustomcolor exch setcustomcolor + } ifelse + } ifelse + } ifelse + /pdfLastFill true def /pdfLastStroke false def + } if +} def +% build a font +/pdfMakeFont { + 4 3 roll findfont + 4 2 roll matrix scale makefont + dup length dict begin + { 1 index /FID ne { def } { pop pop } ifelse } forall + /Encoding exch def + currentdict + end + definefont pop +} def +/pdfMakeFont16 { + exch findfont + dup length dict begin + { 1 index /FID ne { def } { pop pop } ifelse } forall + /WMode exch def + currentdict + end + definefont pop +} def +/pdfMakeFont16L3 { + 1 index /CIDFont resourcestatus { + pop pop 1 index /CIDFont findresource /CIDFontType known + } { + false + } ifelse + { + 0 eq { /Identity-H } { /Identity-V } ifelse + exch 1 array astore composefont pop + } { + pdfMakeFont16 + } ifelse +} def +% graphics state operators +/q { gsave pdfDictSize dict begin } def +/Q { end grestore } def +/cm { concat } def +/d { setdash } def +/i { setflat } def +/j { setlinejoin } def +/J { setlinecap } def +/M { setmiterlimit } def +/w { setlinewidth } def +% color operators +/g { dup 1 array astore /pdfFill exch def setgray + /pdfLastFill true def /pdfLastStroke false def } def +/G { dup 1 array astore /pdfStroke exch def setgray + /pdfLastStroke true def /pdfLastFill false def } def +/rg { 3 copy 3 array astore /pdfFill exch def setrgbcolor + /pdfLastFill true def /pdfLastStroke false def } def +/RG { 3 copy 3 array astore /pdfStroke exch def setrgbcolor + /pdfLastStroke true def /pdfLastFill false def } def +/k { 4 copy 4 array astore /pdfFill exch def setcmykcolor + /pdfLastFill true def /pdfLastStroke false def } def +/K { 4 copy 4 array astore /pdfStroke exch def setcmykcolor + /pdfLastStroke true def /pdfLastFill false def } def +/ck { 6 copy 6 array astore /pdfFill exch def + findcmykcustomcolor exch setcustomcolor + /pdfLastFill true def /pdfLastStroke false def } def +/CK { 6 copy 6 array astore /pdfStroke exch def + findcmykcustomcolor exch setcustomcolor + /pdfLastStroke true def /pdfLastFill false def } def +% path segment operators +/m { moveto } def +/l { lineto } def +/c { curveto } def +/re { 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto + neg 0 rlineto closepath } def +/h { closepath } def +% path painting operators +/S { sCol stroke } def +/Sf { fCol stroke } def +/f { fCol fill } def +/f* { fCol eofill } def +% clipping operators +/W { clip newpath } def +/W* { eoclip newpath } def +% text state operators +/Tc { /pdfCharSpacing exch def } def +/Tf { dup /pdfFontSize exch def + dup pdfHorizScaling mul exch matrix scale + pdfTextMat matrix concatmatrix dup 4 0 put dup 5 0 put + exch findfont exch makefont setfont } def +/Tr { /pdfTextRender exch def } def +/Ts { /pdfTextRise exch def } def +/Tw { /pdfWordSpacing exch def } def +/Tz { /pdfHorizScaling exch def } def +% text positioning operators +/Td { pdfTextMat transform moveto } def +/Tm { /pdfTextMat exch def } def +% text string operators +/cshow where { + pop + /cshow2 { + dup { + pop pop + 1 string dup 0 3 index put 3 index exec + } exch cshow + pop pop + } def +}{ + /cshow2 { + currentfont /FontType get 0 eq { + 0 2 2 index length 1 sub { + 2 copy get exch 1 add 2 index exch get + 2 copy exch 256 mul add + 2 string dup 0 6 5 roll put dup 1 5 4 roll put + 3 index exec + } for + } { + dup { + 1 string dup 0 3 index put 3 index exec + } forall + } ifelse + pop pop + } def +} ifelse +/awcp { + exch { + false charpath + 5 index 5 index rmoveto + 6 index eq { 7 index 7 index rmoveto } if + } exch cshow2 + 6 {pop} repeat +} def +/Tj { + fCol + 1 index stringwidth pdfTextMat idtransform pop + sub 1 index length dup 0 ne { div } { pop pop 0 } ifelse + pdfWordSpacing pdfHorizScaling mul 0 pdfTextMat dtransform 32 + 4 3 roll pdfCharSpacing pdfHorizScaling mul add 0 + pdfTextMat dtransform + 6 5 roll Tj1 +} def +/Tj16 { + fCol + 2 index stringwidth pdfTextMat idtransform pop + sub exch div + pdfWordSpacing pdfHorizScaling mul 0 pdfTextMat dtransform 32 + 4 3 roll pdfCharSpacing pdfHorizScaling mul add 0 + pdfTextMat dtransform + 6 5 roll Tj1 +} def +/Tj16V { + fCol + 2 index stringwidth pdfTextMat idtransform exch pop + sub exch div + 0 pdfWordSpacing pdfTextMat dtransform 32 + 4 3 roll pdfCharSpacing add 0 exch + pdfTextMat dtransform + 6 5 roll Tj1 +} def +/Tj1 { + 0 pdfTextRise pdfTextMat dtransform rmoveto + currentpoint 8 2 roll + pdfTextRender 1 and 0 eq { + 6 copy awidthshow + } if + pdfTextRender 3 and dup 1 eq exch 2 eq or { + 7 index 7 index moveto + 6 copy + currentfont /FontType get 3 eq { fCol } { sCol } ifelse + false awcp currentpoint stroke moveto + } if + pdfTextRender 4 and 0 ne { + 8 6 roll moveto + false awcp + /pdfTextClipPath [ pdfTextClipPath aload pop + {/moveto cvx} + {/lineto cvx} + {/curveto cvx} + {/closepath cvx} + pathforall ] def + currentpoint newpath moveto + } { + 8 {pop} repeat + } ifelse + 0 pdfTextRise neg pdfTextMat dtransform rmoveto +} def +/TJm { pdfFontSize 0.001 mul mul neg 0 + pdfTextMat dtransform rmoveto } def +/TJmV { pdfFontSize 0.001 mul mul neg 0 exch + pdfTextMat dtransform rmoveto } def +/Tclip { pdfTextClipPath cvx exec clip newpath + /pdfTextClipPath [] def } def +% Level 2 image operators +/pdfImBuf 100 string def +/pdfIm { + image + { currentfile pdfImBuf readline + not { pop exit } if + (%-EOD-) eq { exit } if } loop +} def +/pdfImSep { + findcmykcustomcolor exch + dup /Width get /pdfImBuf1 exch string def + dup /Decode get aload pop 1 index sub /pdfImDecodeRange exch def + /pdfImDecodeLow exch def + begin Width Height BitsPerComponent ImageMatrix DataSource end + /pdfImData exch def + { pdfImData pdfImBuf1 readstring pop + 0 1 2 index length 1 sub { + 1 index exch 2 copy get + pdfImDecodeRange mul 255 div pdfImDecodeLow add round cvi + 255 exch sub put + } for } + 6 5 roll customcolorimage + { currentfile pdfImBuf readline + not { pop exit } if + (%-EOD-) eq { exit } if } loop +} def +/pdfImM { + fCol imagemask + { currentfile pdfImBuf readline + not { pop exit } if + (%-EOD-) eq { exit } if } loop +} def +end +%%EndResource +%%EndProlog +%%BeginSetup +xpdf begin +%%BeginResource: font PATextEx +%!FontType1-1.0: PATextEx +12 dict begin +/FontInfo 10 dict dup begin +/Notice (Copyright (c) MicroPress Inc., 2001, 2003. All rights reserved.) readonly def +/FullName (PATextEx) readonly def +/FamilyName (PATextEx) readonly def +/isFixedPitch false def +/ItalicAngle 0 def +/UnderlinePosition 0 def +/UnderlineThickness 0 def +end readonly def +/FontName /PATextEx def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/FontBBox [0 0 555 386] readonly def +/StrokeWidth 0 def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 61 /equalmath put +readonly def +currentdict end +currentfile eexec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cleartomark +%%EndResource +/F10_0 /PATextEx 1 1 +[ /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /space/exclam/quotedbl/numbersign/dollar/percent/ampersand/quotesingle + /parenleft/parenright/asterisk/plus/comma/hyphen/period/slash + /zero/one/two/three/four/five/six/seven + /eight/nine/colon/semicolon/less/equalmath/greater/question + /at/A/B/C/D/E/F/G + /H/I/J/K/L/M/N/O + /P/Q/R/S/T/U/V/W + /X/Y/Z/bracketleft/backslash/bracketright/asciicircum/underscore + /grave/a/b/c/d/e/f/g + /h/i/j/k/l/m/n/o + /p/q/r/s/t/u/v/w + /x/y/z/braceleft/bar/braceright/asciitilde/bullet + /Euro/bullet/quotesinglbase/florin/quotedblbase/ellipsis/dagger/daggerdbl + /circumflex/perthousand/Scaron/guilsinglleft/OE/bullet/Zcaron/bullet + /bullet/quoteleft/quoteright/quotedblleft/quotedblright/bullet/endash/emdash + /tilde/trademark/scaron/guilsinglright/oe/bullet/zcaron/Ydieresis + /space/exclamdown/cent/sterling/currency/yen/brokenbar/section + /dieresis/copyright/ordfeminine/guillemotleft/logicalnot/hyphen/registered/macron + /degree/plusminus/twosuperior/threesuperior/acute/mu/paragraph/periodcentered + /cedilla/onesuperior/ordmasculine/guillemotright/onequarter/onehalf/threequarters/questiondown + /Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla + /Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis + /Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis/multiply + /Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/germandbls + /agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla + /egrave/eacute/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis + /eth/ntilde/ograve/oacute/ocircumflex/otilde/odieresis/divide + /oslash/ugrave/uacute/ucircumflex/udieresis/yacute/thorn/ydieresis] +pdfMakeFont +%%BeginResource: font PAMath-Italic +%!FontType1-1.0: PAMath-Italic +12 dict begin +/FontInfo 10 dict dup begin +/Notice (Copyright (c) MicroPress Inc, 2001, 2003. 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def +} def +/pdfEndPage { end } def +% separation convention operators +/findcmykcustomcolor where { + pop +}{ + /findcmykcustomcolor { 5 array astore } def +} ifelse +/setcustomcolor where { + pop +}{ + /setcustomcolor { + exch + [ exch /Separation exch dup 4 get exch /DeviceCMYK exch + 0 4 getinterval cvx + [ exch /dup load exch { mul exch dup } /forall load + /pop load dup ] cvx + ] setcolorspace setcolor + } def +} ifelse +/customcolorimage where { + pop +}{ + /customcolorimage { + gsave + [ exch /Separation exch dup 4 get exch /DeviceCMYK exch + 0 4 getinterval + [ exch /dup load exch { mul exch dup } /forall load + /pop load dup ] cvx + ] setcolorspace + 10 dict begin + /ImageType 1 def + /DataSource exch def + /ImageMatrix exch def + /BitsPerComponent exch def + /Height exch def + /Width exch def + /Decode [1 0] def + currentdict end + image + grestore + } def +} ifelse +% PDF color state +/sCol { + pdfLastStroke not { + pdfStroke aload length + dup 1 eq { + pop setgray + }{ + 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/CIDFontType known + } { + false + } ifelse + { + 0 eq { /Identity-H } { /Identity-V } ifelse + exch 1 array astore composefont pop + } { + pdfMakeFont16 + } ifelse +} def +% graphics state operators +/q { gsave pdfDictSize dict begin } def +/Q { end grestore } def +/cm { concat } def +/d { setdash } def +/i { setflat } def +/j { setlinejoin } def +/J { setlinecap } def +/M { setmiterlimit } def +/w { setlinewidth } def +% color operators +/g { dup 1 array astore /pdfFill exch def setgray + /pdfLastFill true def /pdfLastStroke false def } def +/G { dup 1 array astore /pdfStroke exch def setgray + /pdfLastStroke true def /pdfLastFill false def } def +/rg { 3 copy 3 array astore /pdfFill exch def setrgbcolor + /pdfLastFill true def /pdfLastStroke false def } def +/RG { 3 copy 3 array astore /pdfStroke exch def setrgbcolor + /pdfLastStroke true def /pdfLastFill false def } def +/k { 4 copy 4 array astore /pdfFill exch def setcmykcolor + /pdfLastFill true def /pdfLastStroke false def } def +/K { 4 copy 4 array astore /pdfStroke exch def setcmykcolor + /pdfLastStroke true def /pdfLastFill false def } def +/ck { 6 copy 6 array astore /pdfFill exch def + findcmykcustomcolor exch setcustomcolor + /pdfLastFill true def /pdfLastStroke false def } def +/CK { 6 copy 6 array astore /pdfStroke exch def + findcmykcustomcolor exch setcustomcolor + /pdfLastStroke true def /pdfLastFill false def } def +% path segment operators +/m { moveto } def +/l { lineto } def +/c { curveto } def +/re { 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto + neg 0 rlineto closepath } def +/h { closepath } def +% path painting operators +/S { sCol stroke } def +/Sf { fCol stroke } def +/f { fCol fill } def +/f* { fCol eofill } def +% clipping operators +/W { clip newpath } def +/W* { eoclip newpath } def +% text state operators +/Tc { /pdfCharSpacing exch def } def +/Tf { dup /pdfFontSize exch def + dup pdfHorizScaling mul exch matrix scale + pdfTextMat matrix concatmatrix dup 4 0 put dup 5 0 put + exch findfont exch makefont setfont } def +/Tr { /pdfTextRender exch def } def +/Ts { /pdfTextRise exch def } def +/Tw { /pdfWordSpacing exch def } def +/Tz { /pdfHorizScaling exch def } def +% text positioning operators +/Td { pdfTextMat transform moveto } def +/Tm { /pdfTextMat exch def } def +% text string operators +/cshow where { + pop + /cshow2 { + dup { + pop pop + 1 string dup 0 3 index put 3 index exec + } exch cshow + pop pop + } def +}{ + /cshow2 { + currentfont /FontType get 0 eq { + 0 2 2 index length 1 sub { + 2 copy get exch 1 add 2 index exch get + 2 copy exch 256 mul add + 2 string dup 0 6 5 roll put dup 1 5 4 roll put + 3 index exec + } for + } { + dup { + 1 string dup 0 3 index put 3 index exec + } forall + } ifelse + pop pop + } def +} ifelse +/awcp { + exch { + false charpath + 5 index 5 index rmoveto + 6 index eq { 7 index 7 index rmoveto } if + } exch cshow2 + 6 {pop} repeat +} def +/Tj { + fCol + 1 index stringwidth pdfTextMat idtransform pop + sub 1 index length dup 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1 2 index length 1 sub { + 1 index exch 2 copy get + pdfImDecodeRange mul 255 div pdfImDecodeLow add round cvi + 255 exch sub put + } for } + 6 5 roll customcolorimage + { currentfile pdfImBuf readline + not { pop exit } if + (%-EOD-) eq { exit } if } loop +} def +/pdfImM { + fCol imagemask + { currentfile pdfImBuf readline + not { pop exit } if + (%-EOD-) eq { exit } if } loop +} def +end +%%EndResource +%%EndProlog +%%BeginSetup +xpdf begin +%%BeginResource: font PGQRTT+SFTT1095 +%!FontType1-1.0: SFTT1095 0.3 +%%CreationDate: Wed Sep 12 2001 +% Copyright (c) 2001 Vladimir Volovich <vvv@vsu.ru>. +% See the file COPYING (GNU General Public License) for license conditions. +% Converted from METAFONT EC/TC and LH fonts: +% ectt1095, tctt1095, latt1095, lbtt1095, lctt1095, rxtt1095. +11 dict begin +/FontInfo 6 dict dup begin +/version (0.3) def +/FullName (Computer Modern Typewriter) def +/FamilyName (Computer Modern) def +/ItalicAngle 0 def +/isFixedPitch true def +/Weight (Medium) def 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document that +% contains text to be displayed or printed using this font, regardless +% of the conditions or license applying to the document itself. +12 dict begin +/FontInfo 10 dict dup begin +/version (1.05) readonly def +/Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def +/Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def +/FullName (URW Palladio L Roman) readonly def +/FamilyName (URW Palladio L) readonly def +/Weight (Roman) readonly def +/ItalicAngle 0.0 def +/isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def +end readonly def +/FontName /HVKGPJ+URWPalladioL-Roma def +/PaintType 0 def +/WMode 0 def +/FontBBox {-166 -283 1021 943} readonly def +/FontType 1 def +/FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def +/Encoding StandardEncoding def +currentdict end +currentfile eexec +d9d66f633b846a989b9974b0179fc6cc445bc2c03103c68570a7b354a4a280ae 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All rights reserved.) readonly def +/FullName (PATextEx) readonly def +/FamilyName (PATextEx) readonly def +/ItalicAngle 0 def +/isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def +/Weight (Regular) readonly def +end readonly def +/FontName /RFLDOC+PATextEx def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 19 /ff put +dup 40 /parenleftmath put +dup 41 /parenrightmath put +readonly def +/PaintType 0 def +/FontType 1 def +/FontMatrix [ 0.00100 0 0 0.00100 0 0 ] readonly def +/FontBBox { -40 -283 1030 927 } readonly def +currentdict end +currentfile eexec +d9d66f633b846a989b9974b0179fc6cc445bcf7c3c3333173232e3fdbff43949 +1db866c39088c203dc22fdc758584860ec7bb67fda28cc6208249060e18fab32 +204779b5c03c0493bbbbc95cf02692cc4deaa8d2ea90b5c2e64374e92bcb8501 +429b8fae4a76c0c6b76d6ff7cf9a7d5edfbca0e959541c59bd05b7de43d25d53 +fc3dda6ef0c2743978a6d03e19cced4a11f2ea4bcc3110be8b8d9e2772361969 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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef] +pdfMakeFont +%%BeginResource: font PRHKDE+PAMathSy +%!PS-AdobeFont-1.0: PAMathSy 001.000 +%%CreationDate: Tue Apr 03 11:47:12 2001 +%%VMusage: 120000 150000 +11 dict begin +/FontInfo 14 dict dup begin +/version (001.000) readonly def +/Notice (Copyright (c) MicroPress Inc, 2001. All rights reserved.) readonly def +/FullName (PAMathSy) readonly def +/FamilyName (PAMathSy) readonly def +/ItalicAngle 0 def +/isFixedPitch false def +/UnderlinePosition -600 def +/UnderlineThickness 70 def +/Weight (Regular) readonly def +end readonly def +/FontName /PRHKDE+PAMathSy def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 0 /minus put +dup 11 /circledivide put +dup 12 /circledot put +dup 13 /circlecopyrt put +dup 49 /infinity put +dup 50 /element put +dup 51 /owner put +dup 65 /A put +dup 66 /B put +dup 67 /C put +dup 97 /turnstileright put +dup 98 /floorleft put +dup 99 /floorright put +readonly def +/PaintType 0 def +/FontType 1 def +/FontMatrix [ 0.00100 0 0 0.00100 0 0 ] readonly def +/FontBBox { -5 -922 1041 756 } readonly def +currentdict end +currentfile eexec +d9d66f633b846a989b9974b0179fc6cc445bcf7c3c3333173232e3fdbff43949 +1db866c39088c203dc22fdc758584860ec7bb67fda28cc6208249060e18fab32 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All Rights Reserved. +11 dict begin +/FontInfo 7 dict dup begin +/version (1.00) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMEX10) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle 0 def +/isFixedPitch false def +end readonly def +/FontName /YVFMIW+CMEX10 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 11 /angbracketrightbig put +dup 12 /vextendsingle put +dup 13 /vextenddouble put +dup 49 /parenrighttp put +dup 50 /bracketlefttp put +dup 51 /bracketrighttp put +dup 65 /parenrightbt put +dup 66 /parenleftex put +dup 67 /parenrightex put +dup 97 /coproductdisplay put +dup 98 /hatwide put +dup 99 /hatwider put +readonly def +/FontBBox{-24 -2960 1454 772}readonly def +currentdict end +currentfile eexec +d9d66f633b846a97b686a97e45a3d0aa052a014267b7904eb3c0d3bd0b83d891 +016ca6ca4b712adeb258faab9a130ee605e61f77fc1b738abc7c51cd46ef8171 +9098d5fee67660e69a7ab91b58f29a4d79e57022f783eb0fbbb6d4f4ec35014f 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All rights reserved.) readonly def +/FullName (PAMathSyB) readonly def +/FamilyName (PAMathSyB) readonly def +/ItalicAngle 0 def +/isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def +/Weight (Normal) readonly def +end readonly def +/FontName /OUTYJC+PAMathSyB def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 11 /notgreaterorslnteql put +dup 12 /lessnotequal put +dup 13 /greaternotequal put +dup 49 /notforces put +dup 50 /notsatisfies put +dup 51 /notforcesextra put +dup 65 /A put +dup 66 /B put +dup 67 /C put +dup 97 /Gmir put +readonly def +/PaintType 0 def +/FontType 1 def +/FontMatrix [ 0.00100 0 0 0.00100 0 0 ] readonly def +/FontBBox { -94 -277 2328 790 } readonly def +currentdict end +currentfile eexec +d9d66f633b846a989b9974b0179fc6cc445bcf7c3c3333173232e3fdbff43949 +1db866c39088c203dc22fdc758584860ec7bb67fda28cc6208249060e18fab32 +204779b5c03c0493bbbbc95cf02692cc4deaa8d2ea90b5c2e64374e92bcb8501 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+0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark +%%EndResource +/F16_0 /OUTYJC+PAMathSyB 1 1 +[ /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/notgreaterorslnteql/lessnotequal/greaternotequal/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/notforces/notsatisfies/notforcesextra/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/A/B/C/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/Gmir/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef] +pdfMakeFont +%%BeginResource: font XFAPVH+URWPalladioL-Bold +%!PS-AdobeFont-1.0: URWPalladioL-Bold 1.05 +%%CreationDate: Wed Dec 22 1999 +% Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development +% (URW)++,Copyright 1999 by (URW)++ Design & Development +% See the file COPYING (GNU General Public License) for license conditions. +% As a special exception, permission is granted to include this font +% program in a Postscript or PDF file that consists of a document that +% contains text to be displayed or printed using this font, regardless +% of the conditions or license applying to the document itself. +12 dict begin +/FontInfo 10 dict dup begin +/version (1.05) readonly def +/Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def +/Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def +/FullName (URW Palladio L Bold) readonly def +/FamilyName (URW Palladio L) readonly def +/Weight (Bold) readonly def +/ItalicAngle 0.0 def +/isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def +end readonly def +/FontName /XFAPVH+URWPalladioL-Bold def +/PaintType 0 def +/WMode 0 def +/FontBBox {-152 -301 1000 935} readonly def +/FontType 1 def +/FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def +/Encoding StandardEncoding def +currentdict end +currentfile eexec +d9d66f633b846a989b9974b0179fc6cc445bc2c03103c68570a7b354a4a280ae 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All rights reserved.) readonly def +/FullName (PATextEx Bold) readonly def +/FamilyName (PATextEx) readonly def +/ItalicAngle 0 def +/isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def +/Weight (Bold) readonly def +end readonly def +/FontName /QBRTMK+PATextEx-Bold def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 19 /ff put +readonly def +/PaintType 0 def +/FontType 1 def +/FontMatrix [ 0.00100 0 0 0.00100 0 0 ] readonly def +/FontBBox { -4 -266 1170 924 } readonly def +currentdict end +currentfile eexec +d9d66f633b846a989b9974b0179fc6cc445bcf7c3c3333173232e3fdbff43949 +1db866c39088c203dc22fdc758584860ec7bb67fda28cc6208249060e18fab32 +204779b5c03c0493bbbbc95cf02692cc4deaa8d2ea90b5c2e64374e92bcb8501 +429b8fae4a76c0c6b76d6ff7cf9a7d5edfbca0e959541c59bd05b7de43d25d53 +fc3dda6ef0c2743978a6d03e19cced4a11f2ea4bcc3110be8b8d9e2772361969 +c19258efafdc276cb1ade9208a941a36d18f9fb1c33def76aa315ddb05770ecd 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+0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark +%%EndResource +/F18_0 /QBRTMK+PATextEx-Bold 1 1 +[ /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/ff/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef + /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef] +pdfMakeFont +%%BeginResource: font YIQOKH+URWPalladioL-Ital +%!PS-AdobeFont-1.0: URWPalladioL-Ital 1.05 +%%CreationDate: Wed Dec 22 1999 +% Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development +% (URW)++,Copyright 1999 by (URW)++ Design & Development +% See the file COPYING (GNU General Public License) for license conditions. +% As a special exception, permission is granted to include this font +% program in a Postscript or PDF file that consists of a document that +% contains text to be displayed or printed using this font, regardless +% of the conditions or license applying to the document itself. +12 dict begin +/FontInfo 10 dict dup begin +/version (1.05) readonly def +/Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def +/Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def +/FullName (URW Palladio L Italic) readonly def +/FamilyName (URW Palladio L) readonly def +/Weight (Regular) readonly def +/ItalicAngle -9.5 def +/isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def +end readonly def +/FontName /YIQOKH+URWPalladioL-Ital def +/PaintType 0 def +/WMode 0 def +/FontBBox {-170 -305 1010 941} readonly def +/FontType 1 def +/FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def +/Encoding StandardEncoding def +currentdict end +currentfile eexec +d9d66f633b846a989b9974b0179fc6cc445bc2c03103c68570a7b354a4a280ae 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-543.845] cm +[1 0 0 1 0 0] Tm +0 0 Td +459.568 543.845 Td +/F21_0 8.966 Tf +(\)) 4.70715 Tj +[1 0 0 1 244.402 532.886] cm +1 1 0.85 rg +1 1 0.85 RG +[1 0 0 1 0 -3.288] cm +q +[] 0 d +0 J +0.398 w +0.199 0 m +0.199 10.959 l +S +Q +[1 0 0 1 0.399 3.288] cm +0 g +0 G +[1 0 0 1 -0.399 -3.288] cm +q +[] 0 d +0 J +0.398 w +0.199 0 m +0.199 10.959 l +S +Q +[1 0 0 1 0.399 3.288] cm +1 1 0.85 rg +1 1 0.85 RG +[1 0 0 1 0 -3.288] cm +0 0 2.989 10.959 re +f +[1 0 0 1 2.989 3.288] cm +0 g +0 G +1 1 0.85 rg +1 1 0.85 RG +[1 0 0 1 0 -3.288] cm +0 0 228.694 10.959 re +f +[1 0 0 1 228.693 3.288] cm +0 g +0 G +1 1 0.85 rg +1 1 0.85 RG +[1 0 0 1 0 -3.288] cm +0 0 2.989 10.959 re +f +[1 0 0 1 2.989 3.288] cm +0 g +0 G +1 1 0.85 rg +1 1 0.85 RG +[1 0 0 1 0 -3.288] cm +q +[] 0 d +0 J +0.398 w +0.199 0 m +0.199 10.959 l +S +Q +[1 0 0 1 0.398 3.288] cm +0 g +0 G +[1 0 0 1 -0.398 -3.288] cm +q +[] 0 d +0 J +0.398 w +0.199 0 m +0.199 10.959 l +S +Q +[1 0 0 1 -479.472 -529.598] cm +[1 0 0 1 0 0] Tm +0 0 Td 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