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1583 lines
22 KiB
1583 lines
22 KiB
# fastex shortcuts, see http://www.cds.caltech.edu/~fastex/
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# author: Fabian Rost <fabian.rost@>
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# date: 21.11.2008
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upkgu=\usepackage{
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upkg=\usepackage{}
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upkgams=\usepackage{amsmath,amssymb,eufrak,amsthm,amscd}
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upkgeuc=\usepackage{eucal}
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upkgeuf=\usepackage{eufrak}
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upkgclr=\usepackage{color}
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upkggr=\usepackage{graphicx}
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upkgvrb=\usepackage{verbatim}
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bdo=\begin{document}
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edo=\end{document}
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dcart=\documentclass{article}
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dcarta4=\documentclass[a4paper]{article}
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dclet=\documentclass{letter}
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dcrep=\documentclass{report}
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dcbook=\documentclass{book}
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ncmdu=\newcommand{
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ncmd=\newcommand{}{}
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rcmdu=\renewcommand{
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rcmd=\renewcommand{}{}
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blstr=\renewcommand{\baselinestretch}{1.5}
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setcu=\setcounter{
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setc=\setcounter{}{}
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slnu=\setlength{
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sln=\setlength{}{}
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spi=\setlength{\parindent}{0em}
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sps=\setlength{\parskip1.5ex plus 0.5ex minus 0.5ex}
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spn=\setcounter{page}{}
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pgnr=\pagenumbering{roman}
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pgna=\pagenumbering{arabic}
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mrkbu=\markboth{
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mrkb=\markboth{}{}
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pgse=\pagestyle{empty}
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pgsm=\pagestyle{myheadings}
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sn=\section{
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sns=\section*{
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ssn=\subsection{
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ssns=\subsection*{
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parau=\paragraph{
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cpg=\clearpage
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cdp=\cleardoublepage
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bctr=\begin{center}
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ectr=\end{center}
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bfll=\begin{flushleft}
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efll=\end{flushleft}
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bflr=\begin{flushright}
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eflr=\end{flushright}
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bqt=\begin{quotation}
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eqt=\end{quotation}
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bmpg=\begin{minipage}{\textwidth}
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empg=\end{minipage}
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ben=\begin{enumerate}
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een=\end{enumerate}
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bitm=\begin{itemize}
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eitm=\end{itemize}
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bds=\begin{description}
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eds=\end{description}
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itmu=\item[
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rcmdl=\renewcommand{\labelenumi}{\em $($\roman{enumi}$)$}
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btb=\begin{tabbing}
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etb=\end{tabbing}
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tb=\>
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btr=\begin{tabular}{|c|c|}
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etr=\end{tabular}
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hlin=\hline
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ftnu=\footnote{
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ftn=\footnote{}
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bbib=\begin{thebibliography}{}
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ebib=\end{thebibliography}
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snsref=\section*{References}
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lblu=\label{
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lbl=\label{}
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refu=\ref{
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refp=(\ref{})
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citu=\cite{
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cit=\cite{}
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citp=(\cite{})
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idxu=\index{
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idx=\index{}
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pidx=\printindex
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midx=\makeindex
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dsz=displaystyle
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tsz=textstyle
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ssz=\scriptstyle
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sssz=\scriptscriptstyle
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bdp=\[
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edp=\]
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beq=\begin{equation}
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beql=\begin{equation}\label{
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eeq=\end{equation}
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bqa=\begin{eqnarray}
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bqal=\begin{eqnarray}\label{
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eqa=\end{eqnarray}
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bqas=\begin{eqnarray*}
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eqas=\end{eqnarray*}
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besb=\begin{Sb}
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eesb=\end{Sb}
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besp=\begin{Sp}
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eesp=\end{Sp}
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bea=\begin{array}{ccc}
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eea=\end{array}
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nonu=\nonumber
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mbxu=\mbox{
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mbx=\mbox{}
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txtu=\text{
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txt=\text{}
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txtqu=\quad\text{}\quad
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intxtu=\text{
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intxt=\intertext{}
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txtqa=\quad \text{and}\quad
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tgu=\tag{
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tg=\tag{}
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tgsu=\tag*{
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tgs=\tag*{}
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ntg=\notag
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bma=\begin{math}
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ema=\end{math}
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bdma=\begin{displaymath}
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edma=\end{displaymath}
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bal=\begin{align}
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eal=\end{align}
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bals=\begin{align*}
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eals=\end{align*}
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bala=\begin{alignat}{}
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eala=\end{alignat}
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balas=\begin{alignat*}{}
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ealas=\end{alignat*}
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bga=\begin{gather}
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ega=\end{gather}
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bgas=\begin{gather*}
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egas=\end{gather*}
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bmlt=\begin{multline}
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emlt=\end{multline}
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bmlts=\begin{multline*}
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emlts=\end{multline*}
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bald=\begin{aligned}
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eald=\end{aligned}
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balda=\begin{alignedat}{}
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ealda=\end{alignedat}
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bgad=\begin{gathered}
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egad=\end{gathered}
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bsplt=\begin{split}
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esplt=\end{split}
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mcor=\newtheorem{corollary}{Corollary}
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mdfn=\newtheorem{definition}{Definition}
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mlem=\newtheorem{lemma}{Lemma}
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mprop=\newtheorem{proposition}{Proposition}
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mthm=\newtheorem{theorem}{Theorem}
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bcor=\begin{corollary}
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ecor=\end{corollary}
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blem=\begin{lemma}
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elem=\end{lemma}
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bprop=\begin{proposition}
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eprop=\end{proposition}
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bthm=\begin{theorem}
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bthmt=\begin{theorem}[Gauss' Theorem]
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ethm=\end{theorem}
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bdfn=\begin{definition}
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edfn=\end{definition}
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bprf=\begin{proof}
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eprf=\end{proof}
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balg=\begin{algorithm}
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ealg=\end{algorithm}
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bcnj=\begin{conjecture}
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ecnj=\end{conjecture}
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bcrit=\begin{criterion}
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ecrit=\end{criterion}
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bqst=\begin{question}
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eqst=\end{question}
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bcnd=\begin{condition}
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ecnd=\end{condition}
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bprob=\begin{problem}
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eprob=\end{problem}
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brmk=\begin{remark}
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ermk=\end{remark}
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bnote=\begin{note}
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enote=\end{note}
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bnota=\begin{notation}
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enota=\end{notation}
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bcase=\begin{case}
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ecase=\end{case}
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bclm=\begin{claim}
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eclm=\end{claim}
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bsum=\begin{summary}
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esum=\end{summary}
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bcncl=\begin{conclusion}
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ecncl=\end{conclusion}
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bac=\begin{acknowledgment}
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eac=\end{acknowledgment}
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bsol=\begin{solution}
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esol=\end{solution}
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bxca=\begin{xca}
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exca=\end{xca}
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bxcb=\begin{xcb}
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excb=\end{xcb}
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blackl=\quad\blacklozenge
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dblackl=\quad $\blacklozenge$
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qbsq=\quad\blacksquare
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qdbsq=\quad $\blacksquare$
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qesq=\quad\square
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qdesq=\quad $\square$
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qetd=\quad\bigtriangledown
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qdetd=\quad $\bigtriangledown$
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qbtd=\quad\blacktriangledown
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qdbtd=\quad $\blacktriangledown$
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rtgu=\raisetag{
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qed=\qed
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qeds=\qedsymbol
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tgqeds=\tag*{\qedsymbol}
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rcqeds=\renewcommand{qedsymbol}{}
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txtu=\text{
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txt=\text{}
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txtupu=\textup{
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txtup=\textup{}
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intxtu=\intertext{
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intxt=\intertext{}
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txtitu=\textit{
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txtit=\textit{}
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txtrmu=\textrm{
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txtrm=\textrm{}
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txtscu=\textsc{
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txtsc=\textsc{}
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txtsfu=\textsf{
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txtsf=\textsf{}
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txtslu=\textsl{text slanting inside math mode
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txtsl=\textsl{}
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txtttu=\texttt{
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txttt=\texttt{}
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txtstyu=\textstyle{
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txtsty=\textstyle{}
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mbbu=\mathbb{
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mbfu=\mathbf{
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mbf=\mathbf{}
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mcalu=\mathcal{
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mcal=\mathcal{}
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mfrku=\mathfrak{
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mfrk=\mathfrak{}
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mitu=\mathit{
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mit=\mathit{}
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mrmu=\mathrm{
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mrm=\mathrm{}
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msfu=\mathsf{
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msf=\mathsf{}
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mttu=\mathtt{
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mtt=\mathtt{}
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opnu=\operatorname{
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opn=\operatorname{}
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opsech=\operatorname{sech}
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opso3=\operatorname{so(3)}
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dopso3=$\operatorname{so(3)}$
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opcso3=\operatorname{SO(3)}
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opdcso3=$\operatorname{SO(3)}$
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opdiv=\operatorname{div}
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opcurl=\operatorname{curl}
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opcimu=\operatorname{Im} nil 0)
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opcimz=\operatorname{Im}(z)
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opcreu=\operatorname{Re} nil 0)
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opcrez=\operatorname{Re}(z)
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opad=\operatorname{ad}
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opcad=\operatorname{Ad}
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opcaut=\operatorname{Aut}
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opccard=\operatorname{Card}
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opchar=\operatorname{char}
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opccorr=\operatorname{Corr}
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opcdiff=\operatorname{Diff}
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opcext=\operatorname{Ext}
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opcfcl=\operatorname{FL}
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opcgcl=\operatorname{GL}
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opchom=\operatorname{Hom}
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opcjac=\operatorname{Jac}
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opclie=\operatorname{Lie}
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opcnm=\operatorname{Nm}
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opcpcgcl=\operatorname{PGL}
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opcpic=\operatorname{Pic}
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opcprym=\operatorname{Prym}
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opcram=\operatorname{Ram}
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opcrank=\operatorname{Rank}
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oprank=\operatorname{rank}
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opreg=\operatorname{reg}
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opcres=\operatorname{Res}
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opres=\operatorname{res}
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opsl=\operatorname{sl}
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opcscl=\operatorname{SL}
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opcsco=\operatorname{SO}
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opcscp=\operatorname{SP}
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opcsp=\operatorname{Sp}
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opsq=\operatorname{sq}
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opcscu=\operatorname{SU}
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opcsym=\operatorname{Sym}
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opctr=\operatorname{Tr}
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fdbfi=\newcommand{\bfi}{\bfseries\itshape}
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bfiu=\bfi
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bfu=\bf
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emu=\em
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itu=\it
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rmu=\rm
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scu=\sc
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sfu=\sf
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ttu=\tt
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ovsu=\overset{
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ovst=\overset{}{}
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sstu=\sideset{
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sst=\sideset{}{}
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unstu=\underset{
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unst=\underset{}{}
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smb=\smash[b]{}
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smt=\smash[t]{}
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nolim=\nolimits
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ovstcpp=\overset{\longrightarrow}{\text{PP}}
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ovstcpq=\overset{\longrightarrow}{\text{PQ}}
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dovstcpp=$\overset{\longrightarrow}{\text{PP}}$
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dovstcpq=$\overset{\longrightarrow}{\text{PQ}}
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frbox=\fbox{\parbox{2.0in}{\centerline{\large \bf type header} text }}
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bcmnt=\begin{comment}
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ecmnt=\end{comment}
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tdu=\todo{
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vrb=\verb
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bvrb=\begin{verbatim}
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evrb=\end{verbatim}
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cl=\centerline{
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hfi=\hfill
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noi=\noindent
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nl=\\
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np=\newpage
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pt=%
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blskp=\baselineskip
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vfi=\vfill
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lbrk=\linebreak
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nlin=\newline
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rlin=\rightline{}
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clin=\centerline{}
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llin=\leftline{}
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lin=\line{}
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ob={
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eb=}
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eit=\/}
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op"
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ep=)
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obk=[
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ebk=]
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llb=\{
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rlb=\}
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bqm=``
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eqm=''
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lle=\langle
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rle=\rangle
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itm=\item
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ad=&
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ae=\'{e}
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ge=\`{e}
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ua=\"{a}
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uo=\"{o}
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uu=\"{u}
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ace=\'{E}
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gce=\`{E}
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uca=\"{A}
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uco=\"{O}
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|
ucu=\"{U}
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bksl=\
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ats=@
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cprt=\copyright
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ps=\P
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ss=\S
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gss=\ss
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csp=\quad
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dsp=\qquad
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ssp=\,
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msp=\:
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tsp=\;
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nsp=\!
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ndsp=\! \!
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ensp=\enspace
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qd=\quad
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qqd=\qquad
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bskp=\bigskip
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mskp=\medskip
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sskp=\smallskip
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hskp=\hskip 2in
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vskp=\vskip 12pt
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tskp=\topskip 24pt
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nll=\null
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fc=
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rc=
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d=$
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dlr=$$
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ada=& = &
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sd=d
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cd=D
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xa=\alpha
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xb=\beta
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xc=\chi
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xcd=\Delta
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xcg=\Gamma
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xcl=\Lambda
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xco=\Omega
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xcp=\Pi
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xcph=\Phi
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xcps=\Psi
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xcs=\Sigma
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xcth=\Theta
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xcu=\Upsilon
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xcx=\Xi
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xd=\delta
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xe=\epsilon
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xet=\eta
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xg=\gamma
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xi=\iota
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xk=\kappa
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xl=\lambda
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xm=\mu
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xn=\nu
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xo=\omega
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xp=\pi
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xph=\phi
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|
xps=\psi
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|
xr=\rho
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xs=\sigma
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xt=\tau
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xth=\theta
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xu=\upsilon
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|
xve=\varepsilon
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|
xvp=\varpi
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|
xvph=\varphi
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|
xvr=\varrho
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|
xvs=\varsigma
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|
xvth=\vartheta
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|
xx=\xi
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|
xz=\zeta
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|
dxa=$\alpha$
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|
dxb=$\beta$
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|
dxc=$\chi$
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|
dxcd=$\Delta$
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|
dxcg=$\Gamma$
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|
dxcl=$\Lambda$
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|
dxco=$\Omega$
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|
dxcp=$\Pi$
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|
dxcph=$\Phi$
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|
dxcps=$\Psi$
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|
dxcs=$\Sigma$
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|
dxcth=$\Theta$
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|
dxcu=$\Upsilon$
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|
dxcx=$\Xi$
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|
dxd=$\delta$
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|
dxe=$\epsilon$
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|
dxet=$\eta$
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|
dxg=$\gamma$
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|
dxio=$\iota$
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|
dxk=$\kappa$
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|
dxl=$\lambda$
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|
dxm=$\mu$
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|
dxn=$\nu$
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|
dxo=$\omega$
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|
dxp=$\pi$
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|
dxph=$\phi$
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|
dxps=$\psi$
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|
dxr=$\rho$
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|
dxs=$\sigma$
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|
dxt=$\tau$
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|
dxth=$\theta$
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|
dxu=$\upsilon$
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|
dxve=$\varepsilon$
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|
dxvp=$\varpi$
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|
dxvph=$\varphi$
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|
dxvr=$\varrho$
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|
dxvs=$\varsigma$
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|
dxvth=$\vartheta$
|
|
dxx=$\xi$
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|
dxz=$\zeta$
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|
oxa=(\alpha)
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|
oxb=(\beta)
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|
oxc=(\chi)
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|
oxcd=(\Delta)
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|
oxcg=(\Gamma)
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|
oxcl=(\Lambda)
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|
oxco=(\Omega)
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|
oxcp=(\Pi)
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|
oxcph=(\Phi)
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|
oxcps=(\Psi)
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|
oxcs=(\Sigma)
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|
oxcth=(\Theta)
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|
oxcu=(\Upsilon)
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|
oxcx=(\Xi)
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|
oxd=(\delta)
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|
oxe=(\epsilon)
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|
oxet=(\eta)
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|
oxg=(\gamma)
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|
oxi=(\iota)
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|
oxk=(\kappa)
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|
oxl=(\lambda)
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oxm=(\mu)
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|
oxn=(\nu)
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|
oxo=(\omega)
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|
oxp=(\pi)
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|
oxph=(\phi)
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|
oxps=(\psi)
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|
oxr=(\rho)
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|
oxs=(\sigma)
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|
oxt=(\tau)
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|
oxth=(\theta)
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|
oxu=(\upsilon)
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|
oxve=(\varepsilon)
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|
oxvp=(\varpi)
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|
oxvph=(\varphi)
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|
oxvr=(\varrho)
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|
oxvs=(\varsigma)
|
|
oxvth=(\vartheta)
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|
oxx=(\xi)
|
|
oxz=(\zeta)
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|
itu=\it
|
|
rmu=\rm
|
|
bfu=\bf
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|
slu=\sl
|
|
ttu=\tt
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|
fu=\frac{
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|
fof=}{
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|
hu=^{
|
|
lu=_{
|
|
limu=\lim{
|
|
ovu=\vec{
|
|
olu=\overline{
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|
obu=\bar{
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|
ocu=\check{
|
|
odu=\dot{
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|
oddu=\ddot{
|
|
ohu=\hat{
|
|
otu=\tilde{
|
|
setu=\{ \mid \}
|
|
setlu=\left\{ \left. \!\right| \right\}
|
|
disu=\displaystyle
|
|
fpdu=\frac{\partial}{\partial
|
|
d0=$0$
|
|
d1=$1$
|
|
d10=$10$
|
|
d2=$2$
|
|
d3=$3$
|
|
d4=$4$
|
|
d5=$5$
|
|
d6=$6$
|
|
d7=$7$
|
|
d8=$8$
|
|
d9=$9$
|
|
dca=$A$
|
|
dcb=$B$
|
|
dcc=$C$
|
|
dcd=$D$
|
|
dce=$E$
|
|
dcf=$F$
|
|
dcg=$G$
|
|
dch=$H$
|
|
dci=$I$
|
|
dcj=$J$
|
|
dck=$K$
|
|
dcl=$L$
|
|
dcm=$M$
|
|
dcn=$N$
|
|
dco=$O$
|
|
dcp=$P$
|
|
dcq=$Q$
|
|
dcr=$R$
|
|
dcs=$S$
|
|
dct=$T$
|
|
dcu=$U$
|
|
dcv=$V$
|
|
dcw=$W$
|
|
dcx=$X$
|
|
dcy=$Y$
|
|
dcz=$Z$
|
|
da=$a$
|
|
db=$b$
|
|
dc=$c$
|
|
dd=$d$
|
|
de=$e$
|
|
df=$f$
|
|
dg=$g$
|
|
dh=$h$
|
|
di=$i$
|
|
dj=$j$
|
|
dk=$k$
|
|
dl=$l$
|
|
dm=$m$
|
|
dn=$n$
|
|
doo=$o$
|
|
dp=$p$
|
|
dq=$q$
|
|
dr=$r$
|
|
ds=$s$
|
|
dt=$t$
|
|
du=$u$
|
|
dv=$v$
|
|
dw=$w$
|
|
dx=$x$
|
|
dy=$y$
|
|
dz=$z$
|
|
sq10=\sqrt{10}
|
|
sq2=\sqrt{2}
|
|
sq3=\sqrt{3}
|
|
sq5=\sqrt{5}
|
|
sq7=\sqrt{7}
|
|
squ=\sqrt{
|
|
sqxp=\sqrt{\pi}
|
|
cr2=\sqrt[3]{2}
|
|
nr2=\sqrt[n]{2}
|
|
haf=\frac{1}{2}
|
|
f12=\frac{1}{2}
|
|
f13=\frac{1}{3}
|
|
f14=\frac{1}{4}
|
|
fddt=\frac{d}{dt}
|
|
fdudt=\frac{du}{dt}
|
|
fdxdt=\frac{dx}{dt}
|
|
fdydt=\frac{dy}{dt}
|
|
fdzdt=\frac{dz}{dt}
|
|
fpx=\frac{\partial}{\partial x}
|
|
fpy=\frac{\partial}{\partial y}
|
|
fpzx=\frac{\partial z}{\partial x}
|
|
fps=\frac{\partial^2}{\partial x \partial y}
|
|
fpt=\frac{\partial^3}{\partial x \partial y \partial z}
|
|
ha=^a
|
|
hb=^b
|
|
hc=^c
|
|
hd=^d
|
|
hee=^e
|
|
hf=^f
|
|
hg=^g
|
|
hh=^h
|
|
hi=^i
|
|
hj=^j
|
|
hk=^k
|
|
hl=^l
|
|
hm=^m
|
|
hn=^n
|
|
ho=^o
|
|
hp=^p
|
|
hq=^q
|
|
hr=^r
|
|
hs=^s
|
|
ht=^t
|
|
huu=^u
|
|
hv=^v
|
|
hw=^w
|
|
hx=^x
|
|
hy=^y
|
|
hz=^z
|
|
hca=^A
|
|
hcb=^B
|
|
hcc=^C
|
|
hcd=^D
|
|
hce=^E
|
|
hcf=^F
|
|
hcg=^G
|
|
hch=^H
|
|
hci=^I
|
|
hcj=^J
|
|
hck=^K
|
|
hcl=^L
|
|
hcm=^M
|
|
hcn=^N
|
|
hco=^O
|
|
hcp=^P
|
|
hcq=^Q
|
|
hcr=^R
|
|
hcs=^S
|
|
hct=^T
|
|
hcu=^U
|
|
hcv=^V
|
|
hcw=^W
|
|
hcx=^X
|
|
hcy=^Y
|
|
hcz=^Z
|
|
h0=^0
|
|
h1=^1
|
|
h10=^{10}
|
|
h2=^2
|
|
h3=^3
|
|
h4=^4
|
|
h5=^5
|
|
h6=^6
|
|
h7=^7
|
|
h8=^8
|
|
h9=^9
|
|
sq=^2
|
|
cu=^3
|
|
xq=x^2
|
|
yq=y^2
|
|
zq=z^2
|
|
hmo=^{-1}
|
|
hij=^{ij}
|
|
hijk=^{ijk}
|
|
hjk=^{jk}
|
|
hdg=^\dagger
|
|
hflt=^\flat
|
|
hpr=^\prime
|
|
hprp=^\perp
|
|
hshp=^\sharp
|
|
hst=^\ast
|
|
hvst=^\star
|
|
hxa=^\alpha
|
|
hxb=^\beta
|
|
hxc=^\chi
|
|
hxcd=^\Delta
|
|
hxcg=^\Gamma
|
|
hxcl=^\Lambda
|
|
hxco=^\Omega
|
|
hxcp=^\Pi
|
|
hxcph=^\Phi
|
|
hxcps=^\Psi
|
|
hxcs=^\Sigma
|
|
hxcth=^\Theta
|
|
hxcu=^\Upsilon
|
|
hxcx=^\Xi
|
|
hxd=^\delta
|
|
hxe=^\epsilon
|
|
hxet=^\eta
|
|
hxg=^\gamma
|
|
hxio=^\iota
|
|
hxk=^\kappa
|
|
hxl=^\lambda
|
|
hxm=^\mu
|
|
hxn=^\nu
|
|
hxo=^\omega
|
|
hxp=^\pi
|
|
hxph=^\phi
|
|
hxps=^\psi
|
|
hxr=^\rho
|
|
hxs=^\sigma
|
|
hxt=^\tau
|
|
hxth=^\theta
|
|
hxu=^\upsilon
|
|
hxve=^\varepsilon
|
|
hxvp=^\varpi
|
|
hxvph=^\varphi
|
|
hxvr=^\varrho
|
|
hxvs=^\varsigma
|
|
hxvth=^\vartheta
|
|
hxx=^\xi
|
|
hxz=^\zeta
|
|
la=_a
|
|
lb=_b
|
|
lc=_c
|
|
ld=_d
|
|
le=_e
|
|
lf=_f
|
|
lg=_g
|
|
lh=_h
|
|
li=_i
|
|
lj=_j
|
|
lk=_k
|
|
ll=_l
|
|
lm=_m
|
|
ln=_n
|
|
lo=_o
|
|
lp=_p
|
|
lq=_q
|
|
lr=_r
|
|
ls=_s
|
|
lt=_t
|
|
luu=_u
|
|
lv=_v
|
|
lw=_w
|
|
lx=_x
|
|
ly=_y
|
|
lz=_z
|
|
lca=_A
|
|
lcb=_B
|
|
lcc=_C
|
|
lcd=_D
|
|
lce=_E
|
|
lcf=_F
|
|
lcg=_G
|
|
lch=_H
|
|
lci=_I
|
|
lcj=_J
|
|
lck=_K
|
|
lcl=_L
|
|
lcm=_M
|
|
lcn=_N
|
|
lco=_O
|
|
lcp=_P
|
|
lcq=_Q
|
|
lcr=_R
|
|
lcs=_S
|
|
lct=_T
|
|
lcu=_U
|
|
lcv=_V
|
|
lcw=_W
|
|
lcx=_X
|
|
lcy=_Y
|
|
lcz=_Z
|
|
l0=_0
|
|
l1=_1
|
|
l10=_{10}
|
|
l2=_2
|
|
l3=_3
|
|
l4=_4
|
|
l5=_5
|
|
l6=_6
|
|
l7=_7
|
|
l8=_8
|
|
l9=_9
|
|
lij=_{ij}
|
|
lijk=_{ijk}
|
|
ljk=_{jk}
|
|
gij=g_{ij}
|
|
lxa=_\alpha
|
|
lxb=_\beta
|
|
lxc=_\chi
|
|
lxcd=_\Delta
|
|
lxcg=_\Gamma
|
|
lxcl=_\Lambda
|
|
lxco=_\Omega
|
|
lxcp=_\Pi
|
|
lxcph=_\Phi
|
|
lxcps=_\Psi
|
|
lxcs=_\Sigma
|
|
lxcth=_\Theta
|
|
lxcu=_\Upsilon
|
|
lxcx=_\Xi
|
|
lxd=_\delta
|
|
lxe=_\epsilon
|
|
lxet=_\eta
|
|
lxg=_\gamma
|
|
lxio=_\iota
|
|
lxk=_\kappa
|
|
lxl=_\lambda
|
|
lxm=_\mu
|
|
lxn=_\nu
|
|
lxo=_\omega
|
|
lxp=_\pi
|
|
lxph=_\phi
|
|
lxps=_\psi
|
|
lxr=_\rho
|
|
lxs=_\sigma
|
|
lxt=_\tau
|
|
lxth=_\theta
|
|
lxu=_\upsilon
|
|
lxve=_\varepsilon
|
|
lxvp=_\varpi
|
|
lxvph=_\varphi
|
|
lxvr=_\varrho
|
|
lxvs=_\varsigma
|
|
lxvth=_\vartheta
|
|
lxx=_\xi
|
|
lxz=_\zeta
|
|
xln=x_n
|
|
yln=y_n
|
|
zln=z_n
|
|
lst=_\ast
|
|
lvst=_\star
|
|
obp=\bar{p}
|
|
obq=\bar{q}
|
|
obr=\bar{r}
|
|
obs=\bar{s}
|
|
obx=\bar{x}
|
|
oby=\bar{y}
|
|
obz=\bar{z}
|
|
obxa=\bar{\alpha}
|
|
obxb=\bar{\beta}
|
|
obxg=\bar{\gamma}
|
|
odp=\dot{p}
|
|
odq=\dot{q}
|
|
odr=\dot{r}
|
|
ods=\dot{s}
|
|
odx=\dot{x}
|
|
ody=\dot{y}
|
|
odz=\dot{z}
|
|
odxa=\dot{\alpha}
|
|
odxb=\dot{\beta}
|
|
odxg=\dot{\gamma}
|
|
oddp=\ddot{p}
|
|
oddq=\ddot{q}
|
|
oddr=\ddot{r}
|
|
odds=\ddot{s}
|
|
oddx=\ddot{x}
|
|
oddy=\ddot{y}
|
|
oddz=\ddot{z}
|
|
oddxa=\ddot{\alpha}
|
|
oddxb=\ddot{\beta}
|
|
oddxg=\ddot{\gamma}
|
|
olp=\overline{p}
|
|
olq=\overline{q}
|
|
olr=\overline{r}
|
|
ols=\overline{s}
|
|
olx=\overline{x}
|
|
oly=\overline{y}
|
|
olz=\overline{z}
|
|
olxa=\overline{\alpha}
|
|
olxb=\overline{\beta}
|
|
olxg=\overline{\gamma}
|
|
ohp=\hat{p}
|
|
ohq=\hat{q}
|
|
ohr=\hat{r}
|
|
ohs=\hat{s}
|
|
ohx=\hat{x}
|
|
ohy=\hat{y}
|
|
ohz=\hat{z}
|
|
ohxa=\hat{\alpha}
|
|
ohxb=\hat{\beta}
|
|
ohxg=\hat{\gamma}
|
|
ova=\vec{a}
|
|
ovb=\vec{b}
|
|
ovc=\vec{c}
|
|
ovv=\vec{v}
|
|
ovw=\vec{w}
|
|
pl=+
|
|
mi=-
|
|
plm=\pm
|
|
mip=\mp
|
|
divi=\div
|
|
cir=\circ
|
|
blt=\bullet
|
|
opl=\oplus
|
|
omi=\ominus
|
|
ti=\times
|
|
oti=\otimes
|
|
sdp=\,\circledS\,
|
|
wed=\wedge
|
|
eq==
|
|
ez== 0
|
|
gte=\geq
|
|
lte=\leq
|
|
ne=\neq
|
|
iso=\cong
|
|
eqv=\equiv
|
|
mlt=\ll
|
|
mgt=\gg
|
|
apx=\approx
|
|
lep=\left nil 0)
|
|
rip=\right)
|
|
lebk=\left[
|
|
ribk=\right]
|
|
lebr=\left\{
|
|
ribr=\right\}
|
|
lel=\left\langle
|
|
rir=\right\rangle
|
|
lld=\left\langle \! \left\langle
|
|
rrd=\right\rangle \! \right\rangle
|
|
llt=\left\langle \! \left\langle \! \left\langle
|
|
rrt=\right\rangle \! \right\rangle \! \right\rangle
|
|
ldo=\left.
|
|
rdo=\right.
|
|
ale=\aleph
|
|
hba=\hbar
|
|
prm=\prime
|
|
flt=\flat
|
|
shp=\sharp
|
|
sh=\heartsuit
|
|
ppt=\propto
|
|
nrm=\|
|
|
lied=\pounds
|
|
trv=\pitchfork
|
|
scl=\ell
|
|
na=\nabla
|
|
pd=\partial
|
|
infi=\infty
|
|
wpf=\wp
|
|
rea=\Re
|
|
ima=\Im
|
|
angl=\angle
|
|
imp=\Rightarrow
|
|
impb=\Leftarrow
|
|
olra=\Leftrightarrow
|
|
eqvt=\Leftrightarrow
|
|
emp=\varnothing
|
|
empa=\emptyset
|
|
eo=\in
|
|
neo=\not\in
|
|
reo=\ni
|
|
setm=\setminus
|
|
subs=\subset
|
|
sube=\subseteq
|
|
sups=\supset
|
|
supe=\supseteq
|
|
ints=\cap
|
|
bints=\bigcap
|
|
uni=\cup
|
|
buni=\bigcup
|
|
vbar=\mid
|
|
te=\exists
|
|
fa=\forall
|
|
artl=\mapsto
|
|
ra=\rightarrow
|
|
lora=\longrightarrow
|
|
lra=\leftrightarrow
|
|
lea=\leftarrow
|
|
upa=\uparrow
|
|
uhr=\upharpoonright
|
|
sur=\nearrow
|
|
sdr=\searrow
|
|
cdo=\cdot
|
|
cds=\cdots
|
|
dds=\ddots
|
|
lds=\ldots
|
|
vds=\vdots
|
|
co=\cos
|
|
coh=\cosh
|
|
coq=\cos^2
|
|
coth=\cos \theta
|
|
coph=\cos \phi
|
|
si=\sin
|
|
sih=\sinh
|
|
siq=\sin^2
|
|
sith=\sin \theta
|
|
siph=\sin \phi
|
|
tn=\tan
|
|
tnh=\tanh
|
|
ex=\exp
|
|
logg=\log
|
|
lgn=\ln
|
|
supr=\sup
|
|
infm=\inf
|
|
mx=\max
|
|
mn=\min
|
|
limm=\lim
|
|
limi=\liminf
|
|
lims=\limsup
|
|
dtt=\det
|
|
kr=\ker
|
|
dmn=\dim
|
|
ag=\arg
|
|
gc=\gcd
|
|
mo=-1
|
|
ava=|a|
|
|
avb=|b|
|
|
avc=|c|
|
|
avx=|x|
|
|
avy=|y|
|
|
avz=|z|
|
|
shl=A^i_{\;a}
|
|
lam=L_A{}^\mu
|
|
van=v^A{}_\nu
|
|
tsq=T^\ast Q
|
|
tsqq=T^{\ast}_{q} Q
|
|
dtsq=$T^\ast Q$
|
|
dtsqq=$T^{\ast}_{q} Q$
|
|
0p=(0)
|
|
00p=(0,0)
|
|
03p=(0, 0, 0)
|
|
d0p=$(0)$
|
|
d00p=$(0,0)$
|
|
d03p=$(0, 0, 0)$
|
|
triap=(a_1, a_2, a_3)
|
|
dtriap=$(a_1, a_2, a_3)$
|
|
xyp=(x, y)
|
|
xyzp=(x, y, z)
|
|
xpyq=x^2 + y^2
|
|
dxyp=$(x, y)$
|
|
dxyzp=$(x, y, z)$
|
|
dxpyq=$x^2 + y^2$
|
|
dxdy=\,dx\,dy
|
|
dxdydz=\,dx\,dy\,dz
|
|
dxdt=dx/dt
|
|
dydt=dy/dt
|
|
dzdt=dz/dt
|
|
pdzy=\partial z/\partial y
|
|
dpdzy=$\partial z/\partial y$
|
|
o0=(0)
|
|
o1=(1)
|
|
o2=(2)
|
|
o3=(3)
|
|
o4=(4)
|
|
o5=(5)
|
|
o6=(6)
|
|
o7=(7)
|
|
o8=(8)
|
|
o9=(9)
|
|
oa=(a)
|
|
oeb=(b)
|
|
oc=(c)
|
|
od=(d)
|
|
oe=(e)
|
|
oef=(f)
|
|
og=(g)
|
|
oh=(h)
|
|
oi=(i)
|
|
oj=(j)
|
|
ok=(k)
|
|
ol=(l)
|
|
om=(m)
|
|
oen=(n)
|
|
oo=(o)
|
|
oep=(p)
|
|
oq=(q)
|
|
oer=(r)
|
|
os=(s)
|
|
ot=(t)
|
|
ou=(u)
|
|
ov=(v)
|
|
ow=(w)
|
|
ox=(x)
|
|
oy=(y)
|
|
oz=(z)
|
|
oca=(A)
|
|
ocb=(B)
|
|
occ=(C)
|
|
ocd=(D)
|
|
oce=(E)
|
|
ocf=(F)
|
|
ocg=(G)
|
|
och=(H)
|
|
oci=(I)
|
|
ocj=(J)
|
|
ock=(K)
|
|
ocl=(L)
|
|
ocm=(M)
|
|
ocn=(N)
|
|
oco=(O)
|
|
ocp=(P)
|
|
ocq=(Q)
|
|
ocr=(R)
|
|
ocs=(S)
|
|
oct=(T)
|
|
ocuu=(U)
|
|
ocv=(V)
|
|
ocw=(W)
|
|
ocx=(X)
|
|
ocy=(Y)
|
|
ocz=(Z)
|
|
intu=\int
|
|
intd=\int \!\!\! \int
|
|
intt=\int \!\!\! \int \!\!\! \int
|
|
intc=\oint
|
|
i10=\int^1_0
|
|
iba=\int^b_a
|
|
ilcd=\int_D
|
|
iinf=\int^\infty_{- \infty}
|
|
i2xp0=\int^{2 \pi}_0
|
|
sds=\,ds
|
|
sdt=\,dt
|
|
sdu=\,du
|
|
sdv=\,dv
|
|
sdw=\,dw
|
|
sdx=\,dx
|
|
sdy=\,dy
|
|
sdz=\,dz
|
|
sumu=\sum
|
|
sni1=\sum^{n}_{i = 1}
|
|
pni1=\prod^{n}_{i = 1}
|
|
ini1=\bigcap^{n}_{i = 1}
|
|
uni1=\bigcup^{n}_{i = 1}
|
|
li00=\lim_{(x,y) \rightarrow (0,0)}
|
|
liai=\lim_{a \rightarrow \infty}
|
|
lixl0=\lim_{x \rightarrow x_0}
|
|
wace=accelerate
|
|
wacn=acceleration
|
|
wacs=accelerates
|
|
wcdm=Department of Mathematics
|
|
wcdp=Department of Physics
|
|
wcle=calculate
|
|
wcln=calculation
|
|
wcls=calculates
|
|
wder=derivative
|
|
wders=derivatives
|
|
wdm=department of mathematics
|
|
wdp=department of physics
|
|
wep=Euler-Poincar\'e
|
|
weqn=equation
|
|
weqns=equations
|
|
wex=example
|
|
wfun=function
|
|
wfuns=functions
|
|
wgm=geometry
|
|
wgmc=geometric
|
|
wie=i.e.,
|
|
wig=integral
|
|
wigb=integrable
|
|
wign=integration
|
|
wigs=integrals
|
|
wiie=\it i.e.,\/}
|
|
wlig=line integral
|
|
wligs=line integrals
|
|
wmx=matrix
|
|
wneg=negative
|
|
wnl=nonlinear
|
|
wnly=nonlinearity
|
|
wpos=positive
|
|
wprp=perpendicular
|
|
wrel=relative
|
|
wrln=relation
|
|
wrtg=rotating
|
|
wrtn=rotation
|
|
wrtns=rotations
|
|
wsn=solution
|
|
wsns=solutions
|
|
wtm=theorem
|
|
wtms=theorems
|
|
wty=theory
|
|
wun=university
|
|
wve=vector
|
|
wvel=velocity
|
|
wvs=vectors
|
|
cld=%-----------------------------------------------------------------------
|
|
cldd=%=======================================================================
|
|
cpct=%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
csd=%-----------------------------
|
|
csdd=%=============================
|
|
|
|
gmu=\mathfrak{}
|
|
gmb=\mathfrak{b}
|
|
gmg=\mathfrak{g}
|
|
gmh=\mathfrak{h}
|
|
gmk=\mathfrak{k}
|
|
gmp=\mathfrak{p}
|
|
gmt=\mathfrak{t}
|
|
gmca=\mathfrak{A}
|
|
gmcg=\mathfrak{G}
|
|
gmch=\mathfrak{H}
|
|
gmck=\mathfrak{K}
|
|
gmct=\mathfrak{T}
|
|
gmcx=\mathfrak{X}
|
|
gmgs=\mathfrak{g}^{\ast}
|
|
gmhs=\mathfrak{h}^{\ast}
|
|
gmks=\mathfrak{k}^{\ast}
|
|
gmso3=\mathfrak{so}(3)
|
|
dgmu=$\mathfrak{}$
|
|
dgmb=$\mathfrak{b}$
|
|
dgmca=$\mathfrak{A}$
|
|
dgmcg=$\mathfrak{G}$
|
|
dgmch=$\mathfrak{H}$
|
|
dgmck=$\mathfrak{K}$
|
|
dgmct=$\mathfrak{T}$
|
|
dgmcx=$\mathfrak{X}$
|
|
dgmg=$\mathfrak{g}$
|
|
dgmh=$\mathfrak{h}$
|
|
dgmk=$\mathfrak{k}$
|
|
dgmp=$\mathfrak{p}$
|
|
dgmt=$\mathfrak{t}$
|
|
dgmgs=$\mathfrak{g}^{\ast}$
|
|
dgmhs=$\mathfrak{h}^{\ast}$
|
|
dgmks=$\mathfrak{k}^{\ast}$
|
|
bbu=\mathbb{}
|
|
bbca=\mathbb{A}
|
|
bbcb=\mathbb{B}
|
|
bbcc=\mathbb{C}
|
|
bbcd=\mathbb{D}
|
|
bbce=\mathbb{E}
|
|
bbcf=\mathbb{F}
|
|
bbcg=\mathbb{G}
|
|
bbch=\mathbb{H}
|
|
bbci=\mathbb{I}
|
|
bbcj=\mathbb{J}
|
|
bbck=\mathbb{K}
|
|
bbcl=\mathbb{L}
|
|
bbcm=\mathbb{M}
|
|
bbcn=\mathbb{N}
|
|
bbco=\mathbb{O}
|
|
bbcp=\mathbb{P}
|
|
bbcq=\mathbb{Q}
|
|
bbcr=\mathbb{R}
|
|
bbcs=\mathbb{S}
|
|
bbct=\mathbb{T}
|
|
bbcu=\mathbb{U}
|
|
bbcv=\mathbb{V}
|
|
bbcw=\mathbb{W}
|
|
bbcx=\mathbb{X}
|
|
bbcy=\mathbb{Y}
|
|
bbcz=\mathbb{Z}
|
|
bbcr1=\mathbb{R}^1
|
|
bbcr2=\mathbb{R}^2
|
|
bbcr3=\mathbb{R}^3
|
|
bbcrm=\mathbb{R}^m
|
|
bbcrn=\mathbb{R}^n
|
|
dbbcc=$\mathbb{C}$
|
|
dbbci=$\mathbb{I}$
|
|
dbbcr=$\mathbb{R}$
|
|
dbbct=$\mathbb{T}$
|
|
dbbcz=$\mathbb{Z}$
|
|
dbbcr1=$\mathbb{R}^1$
|
|
dbbcr2=$\mathbb{R}^2$
|
|
dbbcr3=$\mathbb{R}^3$
|
|
dbbcrm=$\mathbb{R}^m$
|
|
dbbcrn=$\mathbb{R}^n$
|
|
opu=\mathbb{}
|
|
opcc=\mathbb{C}
|
|
opci=\mathbb{I}
|
|
opcr=\mathbb{R}
|
|
opct=\mathbb{T}
|
|
opcz=\mathbb{Z}
|
|
opcr1=\mathbb{R}^1
|
|
opcr2=\mathbb{R}^2
|
|
opcr3=\mathbb{R}^3
|
|
opcrm=\mathbb{R}^m
|
|
opcrn=\mathbb{R}^n
|
|
dopcc=$\mathbb{C}$
|
|
dopci=$\mathbb{I}$
|
|
dopcr=$\mathbb{R}$
|
|
dopct=$\mathbb{T}$
|
|
dopcz=$\mathbb{Z}$
|
|
dopcr1=$\mathbb{R}^1$
|
|
dopcr2=$\mathbb{R}^2$
|
|
dopcr3=$\mathbb{R}^3$
|
|
dopcrm=$\mathbb{R}^m$
|
|
dopcrn=$\mathbb{R}^n$
|
|
ir3=\int_{\mathbb{R}^3}
|
|
b0=\mathbf{0}
|
|
b1=\mathbf{1}
|
|
b10=\mathbf{10}
|
|
b2=\mathbf{2}
|
|
b3=\mathbf{3}
|
|
b4=\mathbf{4}
|
|
b5=\mathbf{5}
|
|
b6=\mathbf{6}
|
|
b7=\mathbf{7}
|
|
b8=\mathbf{8}
|
|
b9=\mathbf{9}
|
|
ba=\mathbf{a}
|
|
bb=\mathbf{b}
|
|
bc=\mathbf{c}
|
|
bca=\mathbf{A}
|
|
bcb=\mathbf{B}
|
|
bcc=\mathbf{C}
|
|
bcd=\mathbf{D}
|
|
bce=\mathbf{E}
|
|
bcf=\mathbf{F}
|
|
bcg=\mathbf{G}
|
|
bch=\mathbf{H}
|
|
bci=\mathbf{I}
|
|
bcj=\mathbf{J}
|
|
bck=\mathbf{K}
|
|
bcl=\mathbf{L}
|
|
bcm=\mathbf{M}
|
|
bcn=\mathbf{N}
|
|
bco=\mathbf{O}
|
|
bcp=\mathbf{P}
|
|
bcq=\mathbf{Q}
|
|
bcr=\mathbf{R}
|
|
bcs=\mathbf{S}
|
|
bct=\mathbf{T}
|
|
bcu=\mathbf{U}
|
|
bcv=\mathbf{V}
|
|
bcw=\mathbf{W}
|
|
bcx=\mathbf{X}
|
|
bcy=\mathbf{Y}
|
|
bcz=\mathbf{Z}
|
|
bd=\mathbf{d}
|
|
bee=\mathbf{e}
|
|
bel1=\mathbf{e}_1
|
|
bel2=\mathbf{e}_2
|
|
bel3=\mathbf{e}_3
|
|
beln=\mathbf{e}_n
|
|
bff=\mathbf{f}
|
|
bg=\mathbf{g}
|
|
bh=\mathbf{h}
|
|
bi=\mathbf{i}
|
|
bj=\mathbf{j}
|
|
bk=\mathbf{k}
|
|
bl=\mathbf{l}
|
|
bm=\mathbf{m}
|
|
bn=\mathbf{n}
|
|
bo=\mathbf{o}
|
|
bp=\mathbf{p}
|
|
bq=\mathbf{q}
|
|
br=\mathbf{r}
|
|
bs=\mathbf{s}
|
|
bt=\mathbf{t}
|
|
bu=\mathbf{u}
|
|
bv=\mathbf{v}
|
|
bw=\mathbf{w}
|
|
bx=\mathbf{x}
|
|
byy=\mathbf{y}
|
|
bz=\mathbf{z}
|
|
bsy=\boldsymbol{
|
|
dbsy=$\boldsymbol{
|
|
bsyu=\boldsymbol{}
|
|
dbsyu=$\boldsymbol{}$
|
|
mvb=\mathversion{bold} $ $}
|
|
pmbu=\mathop{\pmb{}}
|
|
mopu=\mathop{}
|
|
db0=$\mathbf{0}$
|
|
db1=$\mathbf{1}$
|
|
db10=$\mathbf{10}$
|
|
db2=$\mathbf{2}$
|
|
db3=$\mathbf{3}$
|
|
db4=$\mathbf{4}$
|
|
db5=$\mathbf{5}$
|
|
db6=$\mathbf{6}$
|
|
db7=$\mathbf{7}$
|
|
db8=$\mathbf{8}$
|
|
db9=$\mathbf{9}$
|
|
dba=$\mathbf{a}$
|
|
dbb=$\mathbf{b}$
|
|
dbc=$\mathbf{c}$
|
|
dbca=$\mathbf{A}$
|
|
dbcb=$\mathbf{B}$
|
|
dbcc=$\mathbf{C}$
|
|
dbcd=$\mathbf{D}$
|
|
dbce=$\mathbf{E}$
|
|
dbcf=$\mathbf{F}$
|
|
dbcg=$\mathbf{G}$
|
|
dbch=$\mathbf{H}$
|
|
dbci=$\mathbf{I}$
|
|
dbcj=$\mathbf{J}$
|
|
dbck=$\mathbf{K}$
|
|
dbcl=$\mathbf{L}$
|
|
dbcm=$\mathbf{M}$
|
|
dbcn=$\mathbf{N}$
|
|
dbco=$\mathbf{O}$
|
|
dbcp=$\mathbf{P}$
|
|
dbcq=$\mathbf{Q}$
|
|
dbcr=$\mathbf{R}$
|
|
dbcs=$\mathbf{S}$
|
|
dbct=$\mathbf{T}$
|
|
dbcu=$\mathbf{U}$
|
|
dbcv=$\mathbf{V}$
|
|
dbcw=$\mathbf{W}$
|
|
dbcx=$\mathbf{X}$
|
|
dbcy=$\mathbf{Y}$
|
|
dbcz=$\mathbf{Z}$
|
|
dbd=$\mathbf{d}$
|
|
dbe=$\mathbf{e}$
|
|
dbf=$\mathbf{f}$
|
|
dbg=$\mathbf{g}$
|
|
dbh=$\mathbf{h}$
|
|
dbi=$\mathbf{i}$
|
|
dbj=$\mathbf{j}$
|
|
dbk=$\mathbf{k}$
|
|
dbl=$\mathbf{l}$
|
|
dbm=$\mathbf{m}$
|
|
dbn=$\mathbf{n}$
|
|
dbo=$\mathbf{o}$
|
|
dbp=$\mathbf{p}$
|
|
dbq=$\mathbf{q}$
|
|
dbr=$\mathbf{r}$
|
|
dbs=$\mathbf{s}$
|
|
dbt=$\mathbf{t}$
|
|
dbu=$\mathbf{u}$
|
|
dbv=$\mathbf{v}$
|
|
dbw=$\mathbf{w}$
|
|
dbx=$\mathbf{x}$
|
|
dby=$\mathbf{y}$
|
|
dbz=$\mathbf{z}$
|
|
nrbu=\|\mathbf{u}\|
|
|
aplb=\mathbf{a} + \mathbf{b}
|
|
atib=\mathbf{a} \times \mathbf{b}
|
|
atibp=(\mathbf{a} \times \mathbf{b})
|
|
cau=\mathcal{
|
|
cca=\mathcal{A}
|
|
ccb=\mathcal{B}
|
|
ccc=\mathcal{C}
|
|
ccd=\mathcal{D}
|
|
cce=\mathcal{E}
|
|
ccf=\mathcal{F}
|
|
ccg=\mathcal{G}
|
|
cch=\mathcal{H}
|
|
cci=\mathcal{I}
|
|
ccj=\mathcal{J}
|
|
cck=\mathcal{K}
|
|
ccl=\mathcal{L}
|
|
ccm=\mathcal{M}
|
|
ccn=\mathcal{N}
|
|
cco=\mathcal{O}
|
|
ccp=\mathcal{P}
|
|
ccq=\mathcal{Q}
|
|
ccr=\mathcal{R}
|
|
ccs=\mathcal{S}
|
|
cct=\mathcal{T}
|
|
ccu=\mathcal{U}
|
|
ccv=\mathcal{V}
|
|
ccw=\mathcal{W}
|
|
ccx=\mathcal{X}
|
|
ccy=\mathcal{Y}
|
|
ccz=\mathcal{Z}
|
|
dcca=$\mathcal{A}$
|
|
dccb=$\mathcal{B}$
|
|
dccc=$\mathcal{C}$
|
|
dccd=$\mathcal{D}$
|
|
dcce=$\mathcal{E}$
|
|
dccf=$\mathcal{F}$
|
|
dccg=$\mathcal{G}$
|
|
dcch=$\mathcal{H}$
|
|
dcci=$\mathcal{I}$
|
|
dccj=$\mathcal{J}$
|
|
dcck=$\mathcal{K}$
|
|
dccl=$\mathcal{L}$
|
|
dccm=$\mathcal{M}$
|
|
dccn=$\mathcal{N}$
|
|
dcco=$\mathcal{O}$
|
|
dccp=$\mathcal{P}$
|
|
dccq=$\mathcal{Q}$
|
|
dccr=$\mathcal{R}$
|
|
dccs=$\mathcal{S}$
|
|
dcct=$\mathcal{T}$
|
|
dccu=$\mathcal{U}$
|
|
dccv=$\mathcal{V}$
|
|
dccw=$\mathcal{W}$
|
|
dccx=$\mathcal{X}$
|
|
dccy=$\mathcal{Y}$
|
|
dccz=$\mathcal{Z}$
|
|
igru=\includegraphics{
|
|
igr=\includegraphics{}
|
|
btab=\begin{table}
|
|
etab=\end{table}
|
|
bfig=\begin{figure}
|
|
efig=\end{figure}
|
|
captu=\caption{
|
|
capt=\caption{}
|
|
vspu=\vspace{
|
|
vsp=\vspace{}
|
|
hspu=\hspace{
|
|
hsp=\hspace{}
|