\documentclass[12pt]{jarticle}
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% -hyper=144 : Blue letters without underline (hot spot)
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%\paraindent=0cm
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\def\BK{\texttt{\symbol{'134}}}
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%
\pagestyle{empty}
%%%
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{\def\kaidan{\end{minipage}%
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{\end{minipage}}
%%%
\makeatletter
\def\slantbox#1#2{% #1: angle (|#1| <= 30 degree), #2: text
%%% tau := tan(angle)
\leavevmode
\begingroup
\setbox\@tempboxa\hbox{#2}%
\dimen@#1\p@
\ifdim\dimen@<\z@
\def\@tempa{-#1}%
\def\@hcorr{\the\@tempdima}%
\else
\def\@tempa{#1}%
\def\@hcorr{\z@}%
\fi
\expandafter\CalculateTan\expandafter{\@tempa}%
\@tempdima\ht\@tempboxa \@tempdima \UseTan\@tempa \@tempdima
\edef\@hcorr{\@hcorr}%
\advance\@tempdima\wd\@tempboxa
\@tempdimb\ht\@tempboxa \@tempdimc\dp\@tempboxa
\CalculateTan{#1}%
\dimen@ \UseTan{#1}\p@ \divide\dimen@\tw@
\edef\@x{\strip@pt\dimen@}%%% \@x = tau / 2
\dimen@\@x\p@ \dimen@\@x\dimen@
\edef\@xx{\strip@pt\dimen@}%%% \@xx = (tau / 2)^2
\setbox\z@\hbox{%
\@find@rotate@angle
\@find@scaling@factor
\wd\@tempboxa\z@ \ht\@tempboxa\z@ \dp\@tempboxa\z@%%% (*)
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\rotatebox{\@angleii}%
{\scalebox{\@factori}[\@factorii]%
{\rotatebox{\@anglei}{\box\@tempboxa}}}}%
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\box\z@
\endgroup}
\def\@find@rotate@angle{%
\@tempdima\@x\p@ \@tempdimb\@x\p@ \count@\@ne
\def\@tempsign{+}%
\@whilenum9>\count@\do{%
\advance\count@\tw@
\edef\@tempsign{\if+\@tempsign -\else +\fi}%
\@tempdimb\@xx\@tempdimb
\dimen@\@tempdimb \divide\dimen@\count@
\advance\@tempdima\@tempsign\dimen@}%
\@tempdima-28.64789\@tempdima \advance\@tempdima 45\p@
\edef\@anglei{\strip@pt\@tempdima}%%% pi / 4 - (arctan (tau / 2)) / 2
\advance\@tempdima-90\p@
\edef\@angleii{\strip@pt\@tempdima}}%%% \@angleii = \@anglei - (pi/2)
\def\@find@scaling@factor{%
\@tempdima\p@ \@tempdimb\p@
\@tempdimb \@xx\@tempdimb
\dimen@\@tempdimb \divide\dimen@\tw@
\advance\@tempdima \dimen@
\@tempdimb \@xx\@tempdimb
\dimen@\@tempdimb \divide\dimen@ 8
\advance\@tempdima-\dimen@
\@tempdimb \@xx\@tempdimb
\dimen@\@tempdimb \divide\dimen@ 16
\advance\@tempdima \dimen@
\@tempdimb \@xx\@tempdimb
\dimen@\@tempdimb \multiply\dimen@ 5 \divide\dimen@ 128
\advance\@tempdima-\dimen@
\dimen@\@tempdima \advance\dimen@-\@x\p@
\edef\@factori{\strip@pt\dimen@}%%% sqrt((tau/2)^2 + 1) - (tau/2)
\dimen@\@tempdima \advance\dimen@\@x\p@
\edef\@factorii{\strip@pt\dimen@}}%%% sqrt((tau/2)^2 + 1) + (tau/2)
\makeatother
%%%
\makeatletter
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%%%
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\fi\next}
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%%%
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\hbox to #1{%
\kanjiskip=0pt plus 1fil minus 1fil
\xkanjiskip=\kanjiskip
#2}}
%%%}
\def\newbar{\mathaccent\string"\noexpand016 }
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\renewcommand{\\}{\char`\\}
\begin{alltt}%
}{%
\end{alltt}%
}
%%%
\DeclareMathOperator*{\esssup}{ess\,sup}
\DeclareMathOperator{\Hom}{Hom}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\sf
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%\vspace{4pt}
{\rm
\E{\#}
\E{\$}
\E{\%}
\E{\_}
\E{\{}
\E{\}}
\E{\S}
\E{\P}
\E{\dag}
\E{\ddag}
\E{\copyright}
\E{\pounds}
\E{\oe}
\E{\OE}
\E{\ae}
\E{\AE}
\E{\o}
\E{\O}
\E{\l}
\E{\L}
\E{\ss}
\E{?`}
\E{!`}
\E{\i}
\E{\j}
\E{\textregistered}
\E{\texttrademark}
\E{\textasciitilde}
\E{\textasciicircum}
%\E{\LaTeXe}
%\keyin{\k{}}{\k{a}}
\E{\TeX}}
\E{\textvisiblespace}
\E{\textbackslash}
\
\keyin{\`{}}{\`{o}}
\keyin{\'{}}{\'{o}}
\keyin{\^{}}{\^{o}}
\keyin{\"{}}{\"{o}}
\keyin{\~{}}{\~{o}}
\keyin{\={}}{\={o}}
\keyin{\.{}}{\.{o}}
\keyin{\u{}}{\u{o}}
\keyin{\v{}}{\v{o}}
\keyin{\H{}}{\H{o}}
\keyin{\t{}}{\t{oo}}
\keyin{\c{}}{\c{o}}
\keyin{\d{}}{\d{o}}
\keyin{\b{}}{\b{o}}
\keyin{\r{}}{\r{a}}
\
\keyin{\textbf{}}{\textbf{Aa}}
\keyin{\textit{}}{\textit{Aa}}
\keyin{\textsl{}}{\textsl{Aa}}
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\keyin{\textsc{}}{\textsc{Aa}}
\centerline{\E{\LaTeX} Symbols}
\Q{\alpha}
\Q{\beta}
\Q{\gamma}
\Q{\delta}
\Q{\epsilon}
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\Q{\eta}
\Q{\theta}
\Q{\iota}
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\Q{\lambda}
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\Q{\nu}
\Q{\xi}
\Q{\pi}
\Q{\rho}
\Q{\sigma}
\Q{\tau}
\Q{\upsilon}
\Q{\phi}
\Q{\chi}
\Q{\psi}
\Q{\omega}
\quad
\Q{\varepsilon}
\Q{\vartheta}
\Q{\varpi}
\Q{\varrho}
\Q{\varsigma}
\Q{\varphi}
\Q{\Gamma}
\Q{\Delta}
\Q{\Theta}
\Q{\Lambda}
\Q{\Xi}
\Q{\Pi}
\Q{\Sigma}
\Q{\Upsilon}
\Q{\Phi}
\Q{\Psi}
\Q{\Omega}
\Q{\{}
\Q{\}}
\Q{\lfloor}
\Q{\rfloor}
\Q{\lceil}
\Q{\rceil}
\Q{\langle}
\Q{\rangle}
\quad
\Q{\backslash}
\Q{\|}
\Q{\uparrow}
\Q{\Uparrow}
\Q{\downarrow}
\Q{\Downarrow}
\Q{\updownarrow}
\Q{\Updownarrow}
\quad
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\Q{\mp}
\Q{\times}
\Q{\div}
\Q{\ast}
\Q{\star}
\Q{\circ}
\Q{\bullet}
\Q{\cdot}
\Q{\cap}
\Q{\cup}
\Q{\uplus}
\Q{\sqcap}
\Q{\sqcup}
\Q{\vee}
\Q{\wedge}
\Q{\setminus}
\Q{\wr}
\Q{\diamond}
\Q{\bigtriangleup}
\Q{\bigtriangledown}
\Q{\triangleleft}
\Q{\triangleright}
%\Q{\lhd}
%\Q{\rhd}
%\Q{\unlhd}
%\Q{\unrhd}
\Q{\oplus}
\Q{\ominus}
\Q{\otimes}
\Q{\oslash}
\Q{\odot}
\Q{\bigcirc}
\Q{\dagger}
\Q{\ddagger}
\Q{\amalg}
\Q{\le}
%\Q{\leq}
\Q{\ge}
%\Q{\geq}
\Q{\prec}
\Q{\succ}
\Q{\preceq}
\Q{\succeq}
\Q{\ll}
\Q{\gg}
\Q{\subset}
\Q{\supset}
\Q{\subseteq}
\Q{\supseteq}
\Q{\sqsubset}
\Q{\sqsupset}
\Q{\sqsubseteq}
\Q{\sqsupseteq}
\Q{\vdash}
\Q{\dashv}
\Q{\in}
\Q{\ni}
\Q{\notin}
\Q{\equiv}
\Q{\sim}
\Q{\simeq}
\Q{\asymp}
\Q{\approx}
\Q{\cong}
\Q{\neq}
\Q{\doteq}
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\Q{\models}
\Q{\perp}
\Q{\mid}
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\Q{\bowtie}
\Q{\Join}
\Q{\smile}
\Q{\frown}
\quad
\keyin{\not\equiv}{$\not\equiv$}
\Q{\leftarrow}
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\Q{\to}
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\Q{\longleftarrow}
\Q{\longrightarrow}
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\quad
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\Q{\bigvee}
\Q{\bigwedge}
\Q{\bigodot}
\Q{\bigotimes}
\Q{\bigoplus}
\Q{\biguplus}
%\ \
%\Q{\rmoustache}
%\Q{\lmoustache}
%\Q{\rgroup}
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%\Q{\arrowvert}
%\Q{\Arrowvert}
%\Q{\bracevert}
\Q{\aleph}
\Q{\hbar}
\Q{\imath}
\Q{\jmath}
\Q{\ell}
\Q{\wp}
\Q{\Re}
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\Q{\prime}
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\Q{\triangle}
\Q{\forall}
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\Q{\lnot}
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\Q{\natural}
\Q{\sharp}
\Q{\clubsuit}
\Q{\diamondsuit}
\Q{\heartsuit}
\Q{\spadesuit}
\Q{\arccos}
\Q{\arcsin}
\Q{\arctan}
\Q{\arg}
\Q{\cos}
\Q{\cosh}
\Q{\cot}
\Q{\coth}
\Q{\csc}
\Q{\deg}
\Q{\det}
\Q{\dim}
\Q{\exp}
\Q{\gcd}
\Q{\hom}
\Q{\inf}
\Q{\ker}
\Q{\lg}
\Q{\lim}
\Q{\liminf}
\Q{\limsup}
\Q{\ln}
\Q{\log}
\Q{\max}
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\Q{\Pr}
\Q{\sec}
\Q{\sin}
\Q{\sinh}
\Q{\sup}
\Q{\tan}
\Q{\tanh}
\keyin{\mathrm}{$\mathrm A$}
\keyin{\mathsf}{$\mathsf A$}
\keyin{\mathit}{$\mathit A$}
\keyin{\mathtt}{$\mathtt A$}
\keyin{\mathcal}{$\mathcal A$}
\keyin{\mathbb}{$\mathbb A$}
\keyin{\mathfrak}{$\mathfrak A$}
\keyin{\mathbf}{$\mathbf{x}$}
\quad
\keyin{\hat}{$\hat a$}
\keyin{\check}{$\check a$}
\keyin{\breve}{$\breve a$}
\keyin{\acute}{$\acute a$}
\keyin{\grave}{$\grave a$}
\keyin{\tilde}{$\tilde a$}
\keyin{\bar}{$\newbar a$}
\keyin{\vec}{$\vec a$}
\keyin{\dot}{$\dot a$}
\keyin{\ddot}{$\ddot a$}
\quad
\Q{\imath}
\Q{\jmath}
\keyin{\overline{}}{$\overline{x+y}$}\hfill
\keyin{\underline{}}{$\underline{x+y}$}\hfill
\keyin{\widehat{}}{$\widehat{x+y}$}\hfill
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\keyin{\overbrace{}}{$\overbrace{x+y}$}\hfill
\keyin{\underbrace{}}{$\underbrace{x+y}$}\hfill
\keyin{\overrightarrow{}}{$\overrightarrow{x+y}$}\hfill
\keyin{\overleftarrow{}}{$\overleftarrow{x+y}$}
\smallskip
\centerline{AMS Symbols
\qquad
(Text:
\E{\checkmark}
\E{\circledR}
\E{\yen}
\E{\maltese})}
\Q{\boxdot}
\Q{\boxplus}
\Q{\boxtimes}
\Q{\centerdot}
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\Q{\Cup}
\Q{\Cap}
\Q{\curlywedge}
\Q{\curlyvee}
\Q{\leftthreetimes}
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\Q{\intercal}
\Q{\circledcirc}
\Q{\circledast}
\Q{\circleddash}
\Q{\divideontimes}
\Q{\lessdot}
\Q{\gtrdot}
\Q{\ltimes}
\Q{\rtimes}
\Q{\smallsetminus}
\Q{\mho}
\Q{\square}
\Q{\blacksquare}
\Q{\lozenge}
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\Q{\backprime}
\Q{\bigstar}
\Q{\blacktriangledown}
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\Q{\triangledown}
\Q{\measuredangle}
\Q{\sphericalangle}
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\Q{\varnothing}
\Q{\nexists}
\Q{\Finv}
\Q{\Game}
\Q{\eth}
\Q{\beth}
\Q{\gimel}
\Q{\daleth}
\Q{\digamma}
\Q{\varkappa}
\Q{\Bbbk}
\Q{\hslash}
%%\Q{\hbar}
\Q{\circlearrowright}
\Q{\circlearrowleft}
%% In amsfonts.sty:
\Q{\rightleftharpoons}
\Q{\leftrightharpoons}
\Q{\Vdash}
\Q{\Vvdash}
\Q{\vDash}
\Q{\twoheadrightarrow}
\Q{\twoheadleftarrow}
\Q{\leftleftarrows}
\Q{\rightrightarrows}
\Q{\upuparrows}
\Q{\downdownarrows}
\Q{\upharpoonright}
% \global\let\restriction\upharpoonright
\Q{\downharpoonright}
\Q{\upharpoonleft}
\Q{\downharpoonleft}
\Q{\rightarrowtail}
\Q{\leftarrowtail}
\Q{\leftrightarrows}
\Q{\rightleftarrows}
\Q{\Lsh}
\Q{\Rsh}
\Q{\rightsquigarrow}
\Q{\leftrightsquigarrow}
\Q{\looparrowleft}
\Q{\looparrowright}
\Q{\circeq}
\Q{\succsim}
\Q{\gtrsim}
\Q{\gtrapprox}
\Q{\multimap}
\Q{\therefore}
\Q{\because}
\Q{\doteqdot}
% \global\let\Doteq\doteqdot
\Q{\triangleq}
\Q{\precsim}
\Q{\lesssim}
\Q{\lessapprox}
\Q{\eqslantless}
\Q{\eqslantgtr}
\Q{\curlyeqprec}
\Q{\curlyeqsucc}
\Q{\preccurlyeq}
\Q{\leqq}
\Q{\leqslant}
\Q{\lessgtr}
\Q{\risingdotseq}
\Q{\fallingdotseq}
\Q{\succcurlyeq}
\Q{\geqq}
\Q{\geqslant}
\Q{\gtrless}
%% in amsfonts.sty
%% \Q{\sqsubset} {"40}
%% \Q{\sqsupset} {"41}
\Q{\vartriangleright}
\Q{\vartriangleleft}
\Q{\trianglerighteq}
\Q{\trianglelefteq}
\Q{\between}
\Q{\blacktriangleright}
\Q{\blacktriangleleft}
\Q{\vartriangle}
\Q{\eqcirc}
\Q{\lesseqgtr}
\Q{\gtreqless}
\Q{\lesseqqgtr}
\Q{\gtreqqless}
\Q{\Rrightarrow}
\Q{\Lleftarrow}
%% In amsfonts.sty
%%\Q{\angle} {\mathord}{"5C}
\Q{\varpropto}
\Q{\smallsmile}
\Q{\smallfrown}
\Q{\Subset}
\Q{\Supset}
% \global\let\doublecup\Cup
\Q{\subseteqq}
\Q{\supseteqq}
\Q{\bumpeq}
\Q{\Bumpeq}
\Q{\lll}
% \global\let\llless\lll
\Q{\ggg}
% \global\let\gggtr\ggg
\Q{\pitchfork}
\Q{\backsim}
\Q{\backsimeq}
\Q{\eqsim}
\Q{\shortmid}
\Q{\shortparallel}
\Q{\thicksim}
\Q{\thickapprox}
\Q{\approxeq}
\Q{\succapprox}
\Q{\precapprox}
\Q{\curvearrowleft}
\Q{\curvearrowright}
%% In amsfonts.sty:
\Q{\backepsilon}
\ \
\Q{\ulcorner}
\Q{\urcorner}
\Q{\llcorner}
\Q{\lrcorner}
%% Begin AMSb declarations
\Q{\lvertneqq}
\Q{\gvertneqq}
\Q{\nleq}
\Q{\ngeq}
\Q{\nless}
\Q{\ngtr}
\Q{\nprec}
\Q{\nsucc}
\Q{\lneqq}
\Q{\gneqq}
\Q{\nleqslant}
\Q{\ngeqslant}
\Q{\lneq}
\Q{\gneq}
\Q{\npreceq}
\Q{\nsucceq}
\Q{\precnsim}
\Q{\succnsim}
\Q{\lnsim}
\Q{\gnsim}
\Q{\nleqq}
\Q{\ngeqq}
\Q{\precneqq}
\Q{\succneqq}
\Q{\precnapprox}
\Q{\succnapprox}
\Q{\lnapprox}
\Q{\gnapprox}
\Q{\nsim}
\Q{\ncong}
\Q{\varsubsetneq}
\Q{\varsupsetneq}
\Q{\nsubseteqq}
\Q{\nsupseteqq}
\Q{\subsetneqq}
\Q{\supsetneqq}
\Q{\varsubsetneqq}
\Q{\varsupsetneqq}
\Q{\subsetneq}
\Q{\supsetneq}
\Q{\nsubseteq}
\Q{\nsupseteq}
\Q{\nparallel}
\Q{\nmid}
\Q{\nshortmid}
\Q{\nshortparallel}
\Q{\nvdash}
\Q{\nVdash}
\Q{\nvDash}
\Q{\nVDash}
\Q{\ntrianglerighteq}
\Q{\ntrianglelefteq}
\Q{\ntriangleleft}
\Q{\ntriangleright}
\Q{\nleftarrow}
\Q{\nrightarrow}
\Q{\nLeftarrow}
\Q{\nRightarrow}
\Q{\nLeftrightarrow}
\Q{\nleftrightarrow}
\ \
\Q{\dashleftarrow}\ \
\Q{\dashrightarrow}\ \ \
%\Q{\rmoustache}
%\Q{\lmoustache}
%\Q{\rgroup}
%\Q{\lgroup}
%\Q{\arrowvert}
%\Q{\Arrowvert}
%\Q{\bracevert}
%% In amsfonts.sty:
\keyin{\underleftarrow{}}{$\underleftarrow{x+y}$}
\keyin{\underrightarrow{}}{$\underrightarrow{x+y}$}
\keyin{\overleftrightarrow{}}{$\overleftrightarrow{x+y}$}
\keyin{\underleftrightarrow{}}{$\underleftrightarrow{x+y}$}
\Q{\varGamma}
\Q{\varDelta}
\Q{\varTheta}
\Q{\varDelta}
\Q{\varXi}
\Q{\varPi}
\Q{\varSigma}
\Q{\varUpsilon}
\Q{\varPhi}
\Q{\varPsi}
\Q{\varOmega}
\
\Q{\iint}
\
\Q{\iiint}
\
\Q{\idotsint}
\
\Q{\varlimsup}
\Q{\varliminf}
\Q{\varinjlim}
\Q{\varprojlim}
\vspace{-2pt}
\keyin{\Hat{}}{$\Hat A$}
\keyin{\Check{}}{$\Check A$}
\keyin{\Tilde{}}{$\Tilde A$}
\keyin{\Acute{}}{$\Acute A$}
\keyin{\Grave{}}{$\Grave A$}
\keyin{\Dot{}}{$\Dot A$}
\keyin{\Ddot{}}{$\Ddot A$}
\keyin{\Breve{}}{$\Breve A$}
\keyin{\Bar{}}{$\newbar A$}
\keyin{\Vec{}}{$\Vec A$}
\keyin{\sphat}{$A\sphat$}
\keyin{\sptilde}{$A\sptilde$}
\keyin{\spbreve}{$A\spbreve$}
\keyin{\spcheck}{$A\spcheck$}
\keyin{\spdot}{$A\spdot$}
\keyin{\spddot}{$A\spddot$}
\keyin{\dddot{}}{$\dddot{x}$}
\keyin{\ddddot{}}{$\ddddot{x}$}
\Q{\cdots}
\Q{\ldots}
\Q{\ddots}
\Q{\vdots}
\newpage
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\keyin{\documentclass[]{slides}}{slides}
\keyin{\documentclass[]{letter}}{letter}
\qquad
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\keyin{\documentclass[]{jreport}%[a4paper,12pt]}{jreport}
\keyin{\documentclass[]{jbook}%[a4paper,12pt]}{jbook}
\keyin{\documentclass[]{tarticle}%[a4paper,12pt]}{tarticle}
\keyin{\documentclass[]{treport}%[a4paper,12pt]}{treport}
\keyin{\documentclass[]{tbook}%[a4paper,12pt]}{tbook}
\keyin{\documentclass[]{jsarticle}%[a4paper,9-12/14/17/21/25/30/36/43pt]}{jsarticle}
\keyin{\documentclass[]{jsbook}%[a4paper,9-12/14/17/21/25/30/36/43pt]}{jsbook}
\ [{\small \E{10pt} \E{11pt} \E{12pt} \E{a4paper} \E{a5paper} \E{b4paper} \E{b5paper} \E{a4j} \E{a5j} \E{b4j} \E{b5j}
\ \E{landscape} \E{onecolumn} \E{twocolumn} \E{oneside} \E{twoside} \E{notitlepage}
\ \E{titlepage} \E{fleqn} \E{leqno}
\E{final} \E{draft} \E{tate}
\E{openbib}
\E{openright} \E{openany}}]
\smallskip
{packages:}
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\keyin{\usepackage{amscd} 0d 0a}{amscd}
\keyin{\usepackage{amsthm} 0d 0a}{amsthm}
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\quad
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\keyin{\newtheorem[]{} %[Name]{Title}[section] 0d 0a%\newtheorem{otherName}[Name]{otherTitle}% <- unified numbering under Name 0d 0a%\renewcommand{\theName}{\Roman{Name}}% \arabic, \alph, \Alph, \roman, \Roman 0d 0a}{newtheorem}
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%%%%
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\keyin{\begin{falign} 0d 0a \\ 0d 0a 0d 0a\end{falign} 0d 0a}{\textsl{falign}}
\keyin{\begin{falign*} 0d 0a \\ 0d 0a 0d 0a\end{falign*} 0d 0a}{\textsl{falign\ST}}
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\keyin{\begin{alignat*}[] 09%(1+#&)/2 0d 0a \\ 0d 0a 0d 0a\end{alignat*} 0d 0a}{\textsl{alignat\ST}}
\keyin{\begin{xalignat}[] 09%(1+#&)/2 0d 0a \\ 0d 0a 0d 0a\end{xalignat} 0d 0a}{\textsl{xalignat}}
\keyin{\begin{xalignat*}[] 0d 0a \\ 0d 0a 0d 0a\end{xalignat*} 0d 0a}{\textsl{xalignat\ST}}
\keyin{\begin{xxalignat}[] 0d 0a \\ 0d 0a 0d 0a\end{xxalignat} 0d 0a}{\textsl{xxalignat}}
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\keyin{\intertext{}}{\textit{intertext}}
{\small \keyin{\numberwithin{equation}{section}}%
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{\small
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{\small\keyin{\renewcommand{\theequation}{}}%
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\ \ \Goto{count}{Count}
\keyin{\boxed{}}{$\boxed{x+y}$}
\ \
\keyin{\boldsymbol{}}{$\boldsymbol{f(x)}$}
\ \
\keyin{\xleftarrow[]{}}{$\xleftarrow[\text{1st}]{\text{2nd}}$}
\ \
\keyin{\xrightarrow[]{}}{$\xrightarrow[\text{1st}]{\text{2nd}}$}
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\keyin{\underset{}}{$\underset{a}X$}
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\vspace{-16pt}
{\small
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%\smallskip
\name{Mat}{Matrix}:
\keyin{\begin{pmatrix} 0d 0a & & \\ 0d 0a & & 0d 0a\end{pmatrix} 0d 0a}{$(
{\cdots\atop\cdots})$}
\ \
\keyin{\begin{bmatrix} 0d 0a & & \\ 0d 0a & & 0d 0a\end{bmatrix} 0d 0a}{$[{\cdots\atop\cdots}]$}
\ \
\keyin{\begin{Bmatrix} 0d 0a & & \\ 0d 0a & & 0d 0a\end{Bmatrix} 0d 0a}{$\{{\cdots\atop\cdots}\}$}
\ \
\keyin{\begin{vmatrix} 0d 0a & & \\ 0d 0a & & 0d 0a\end{vmatrix} 0d 0a}{$|{\cdots\atop\cdots}|$}
\ \
\keyin{\begin{Vmatrix} 0d 0a & & \\ 0d 0a & & 0d 0a\end{Vmatrix} 0d 0a}{$\|{\cdots\atop\cdots}\|$}
\ \
\keyin{\begin{matrix} 0d 0a & & \\ 0d 0a & & 0d 0a\end{matrix} 0d 0a}{${\cdots\atop\cdots}$}
\ \
{\tiny \keyin{\begin{smallmatrix} 0d 0a & & \\ 0d 0a & & 0d 0a\end{smallmatrix} 0d 0a}{$(
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\ \
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%\keyin{\begin{pmatrix} 0d 0a & & \\ 0d 0a & & 0d 0a\end{pmatrix} 0d 0a}{$
\raisebox{-2pt}{\vdots}\overset{\cdots}{({\cdots\atop\cdots})}
$}
%\keyin{\bordermatrix{ 0d 0a & & \cr 0d 0a & & \cr 0d 0a & & \cr}}
%{\textit{bordermatrix}}
\quad
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\keyin{\hdotsfor{}}{\textit{hdotsfor}}
\ \
\keyin{\begin{cases} 0d 0a \\ 0d 0a\end{cases}}{\textbf{cases}}
\hfill\Ref{HCD}
\vspace{-18pt}
\[
\keyin{\frac{}{}}{\frac{a}{b}}\quad
\keyin{\binom{}{}}{\binom{n}{k}}\quad
\keyin{\sqrt[]{}}{\sqrt[3]{4}}\qquad\text{amscd: }
\keyin{\begin{CD} 0d 0a A 09 09@>{up}>{down}> 09B\\ 0d 0a @V{l}V{r}V 09 09 09@AAA\\ % @| @. 0d 0a C 09 09@= 09 09D 0d 0a\end{CD} 0d 0a}{\begin{CD}A@>{up}>{down}>B\\ @V{l}V{r}V @AAA\\C@=D\end{CD}}
\]
\vspace{-8pt}
\name{Frac}{Frac}:
{\small \F{frac} \F{tfrac} \F{dfrac} \F{cfrac}\Ops{pos}
(\MGNT{pos}: l or r)}
\
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\opt{style}%
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%
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% 3 1630 450 1630 550 2 0
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% VECTOR 2 2 3 0
% 4 1350 600 1350 800 1350 650 1350 600
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%
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%
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\special{pa 654 1400}%
\special{pa 668 1380}%
\special{pa 600 1400}%
\special{fp}%
% STR 2 0 3 0
% 3 0 1270 0 1370 2 0
% \F{itemindent}
\put(5.0000,-13.8000){\makebox(0,0)[lb]{\G{itemindent}}}%
% VECTOR 2 0 3 0
% 4 400 1500 600 1500 450 1500 400 1500
%
\special{pn 8}%
\special{pa 400 1460}%
\special{pa 750 1460}%
\special{fp}%
\special{sh 1}%
\special{pa 750 1460}%
\special{pa 684 1440}%
\special{pa 698 1460}%
\special{pa 684 1480}%
\special{pa 750 1460}%
\special{fp}%
\special{sh 1}%
\special{pa 400 1460}%
\special{pa 468 1480}%
\special{pa 454 1460}%
\special{pa 468 1440}%
\special{pa 400 1460}%
\special{fp}%
% STR 2 0 3 0
% 3 350 1500 350 1600 2 0
% \F{labelsep}
\put(3.0000,-17.0000){\makebox(0,0)[lb]{\G{labelsep}}}%
\end{picture}%
\medskip
\small{
indent of label:
\BK leftmargin$-$\BK labelwidth$-$\BK labelsep$+$\BK itemindent
default:
\BK rightmargin = \BK listparindent = \BK itemindent = 0 pt\newline
\qquad\qquad\!\!\BK labelsep = 0.5 em
\keyin{\begin{trivlist} 0d 0a\item 0d 0a\end{trivlist}}%
{\BK begin\{trivlist\} {\color{red}\it item\_list} \BK end\{trivlist\}}
\qquad \BK leftmargin = \BK labelwidth = 0 pt,\
\BK parsep = \BK parskip
\keyin{\begin{enumerate} 0d 0a\item 0d 0a\end{enumarate}}%
{\BK begin\{enumarate\} {\color{red}\it item\_list} \BK end\{enumarate\}}
{\rm \qquad 1 $\to$ (a) $\to$ i $\to$ A}\quad
\keyin{\renewcommand{\labelenumi}{}}{\BK labelenumi}
\keyin{\renewcommand{\labelenumii}{}}{\BK labelenumii}
\keyin{\renewcommand{\labelenumiii}{}}{\BK labelenumiii}
\qquad\keyin{\renewcommand{\labelenumiv}{}}{\BK labelenumiv}
$\Leftarrow$
Ex.~\{\verb|[\bfseries\arabic{enumiv}]|\}
\hfill\Goto{count}{Count}
\keyin{\begin{itemize} 0d 0a\item 0d 0a\end{itemize}}%
{\BK begin\{itemize\} {\color{red}\it item\_list} \BK end\{itemize\}}
\qquad $\bullet$ $\to$ -- $\to$ $*$ $\to$ $\cdot$\quad
\keyin{\renewcommand{\labelitemi}{}}{\BK labelitemi}
\keyin{\renewcommand{\labelitemii}{}}{\BK labelitemii}
\keyin{\renewcommand{\labelitemiii}{}}{\BK labelitemiii}
\keyin{\begin{description} 0d 0a\item[] 0d 0a\end{description}}%
{\BK begin\{description\} {\color{red}\it item\_list} \BK end\{description\}}
\qquad
\keyin{\renewcommand{\descriptionlabel}[1]% 0d 0a{#1}}%
{\BK descritionlabel}
$\Leftarrow$ Ex.~\{\verb|\hspace{\labelsep}\textsf{#1}|\}
}
\smallskip
\centerline{\name{Sp}{Space}}
\vspace{-13pt}
\begin{tabbing}
\keyin{\vspace{}}{\BK vspace\opt{len}}\qquad\qquad\
\=\keyin{\vspace*{}}{\BK vspace\ST\{{\it\color{red}len}\}}\qquad\qquad\
\=\F{vfill}=\BK vspace\{\BK fill\}\\
%
\keyin{\hspace{}}{\BK hspace\{{\it\color{red}len}\}}%\hfill
\>\keyin{\hspace*{}}{\BK hspace\ST\{{\it\color{red}len}\}}%\hfill
\>\F{hfill}=\BK hspace\{\BK fill\}\\
%
\F{fill}=\BK stretch\{1\}
\>\keyin{\stretch{}}{\BK stretch\{{\it\color{red}value}\}}\\
%
\F{dotfill}
\>\F{hrulefill}\\
%
\F{smallskip} 3pt$\pm$1pt%\hfill
\>\F{medskip} 6pt$\pm$2pt%\hfill
\>\F{bigskip} 12pt$\pm$4pt
\end{tabbing}
\vspace{-10pt}
\F{!} $-\frac3{18}$\hfill
\F{,} $\frac3{18}$\hfill
\keyin{\>}{$\backslash\!\!>$} $\frac4{18}$\hfill
\F{;} $\frac5{18}$\hfill
\keyin{ }{\BK \textvisiblespace} $\frac9{18}$\hfill
\F{quad} 1\hfill
\F{qquad} 2 em
\smallskip
\centerline{\name{Brk}{Break}}
\vspace{-5pt}
\F{par}\hfill
\F{fussy}\quad
\F{sloppy}\hfill
\G{parskip}\quad
\G{parindent}
\keyin{\\ 0d 0a}{\BK\BK\Ops{len}}\quad
\F{newline}\quad
\keyin{\linebreak[ ]}{\BK linebreak\Ops{lev}}
\keyin{\nolinebreak[ ]}{\BK nolinebreak\Ops{lev}} \
\MGNT{lev}:0--4 (default)
\F{newpage}\hfill \F{clearpage}\hfill \F{cleardoublepage}
\hfill\hfill
\F{samepage}
\keyin{\pagebreak[ ]}{\BK pagebreak\Ops{lev}}
\keyin{\nopagebreak[ ]}{\BK nopagebreak\Ops{lev}}\qquad
\keyin{\enlargethispage{}}{\BK enlargethispage\opt{len}}
\F{raggedbottom} \F{flushbottom}
\newpage
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% page 3 %%%%%%%%%%%%%%%%%%%%%%%%%%
\centerline{\name{Box}{Box}\gotop{9.8cm}}
\keyin{\makebox[][]{}}{\BK makebox\Ops{width}\Ops{pos}\opt{text}}\hfill
\keyin{\framebox[][]{}}{\BK framebox\Ops{width}\Ops{pos}\opt{text}}
\keyin{\mbox{}}{\BK mbox\opt{text}}\hfill
\keyin{\fbox{}}{\BK fbox\opt{text}}\quad\
\keyin{\frame{}}{\BK frame\opt{text}}
\keyin{\raisebox{}[][]{}}%
{\BK raisebox\opt{lift}\Ops{height}\Ops{depth}\opt{text}}
\F{width}\hfill \F{height}\hfill \F{depth}\hfill \F{totalheight}\hfill
\keyin{\fboxrule=}{\BK fboxrule}=0.4pt\hfill
\keyin{\fboxsep=}{\BK fboxsep}=3pt
\F{thinlines}\quad
\F{thicklines}\quad
\keyin{\linethickness{}}{\BK linethickness\opt{len}}
\G{unitlength}\hfill
\keyin{\makebox( , )[]{}}%
{\BK makebox({\color{red}w},{\color{red}h})\Ops{ipos}\opt{text}}\hfill
\keyin{\framebox( , )[]{}}%
{\BK framebox({\color{red}w},{\color{red}h})\Ops{ipos}\opt{text}}
\keyin{\begin{minipage}[][][]{} 0d 0a\end{minipage}}%
{\BK begin\{minipage\}\Ops{pos}\Ops{height}\Ops{inner\_pos}\opt{width}{\it\color{red}text}\BK end\{minipage\}}
\keyin{\parbox[][][]{}{}}%
{\BK parbox\Ops{pos}\Ops{height}\Ops{inner\_pos}\opt{width}\opt{text}}
{\color{magenta}pos}: c l r s\qquad\qquad
{\it\color{magenta}inner\_pos}: c t b s
\keyin{\shortstack[]{ \\ }}%
{\BK shortstack\Ops{pos}\{{\color{red}text}\BK\BK{\color{red}$\cdots$text}\}}
\keyin{\rule[]{}{}}%
{\BK rule\Ops{lift}\opt{width}\opt{total\_height}}
%WinTpicVersion3.08
\unitlength 0.1in
%\begin{picture}( 7.0000, 4.0000)( 1.0000, -4.0000)
\begin{picture}( 7.0000, 0.0000)(-33.0000, -8.0000)
% BOX 2 0 1 0
% 2 100 100 800 400
%
\special{pn 8}%
\special{sh 0.300}%
\special{pa 100 100}%
\special{pa 800 100}%
\special{pa 800 400}%
\special{pa 100 400}%
\special{pa 100 100}%
\special{fp}%
% STR 2 0 3 0
% 3 390 190 390 290 2 0
% c
\put(4.0000,-2.8000){\makebox(0,0)[lb]{c}}%
% STR 2 0 3 0
% 3 400 300 400 400 2 0
% b
\put(4.0000,-3.9000){\makebox(0,0)[lb]{b}}%
% STR 2 0 3 0
% 3 400 70 400 170 2 0
% t
\put(4.0000,-1.9000){\makebox(0,0)[lb]{t}}%
% STR 2 0 3 0
% 3 100 210 100 310 2 0
% l
\put(1.2000,-2.8000){\makebox(0,0)[lb]{l}}%
\put(0.5000,-0.8000){\makebox(0,0)[lb]{lt}}%
\put(0.5000,-5.0000){\makebox(0,0)[lb]{lb}}%
% STR 2 0 3 0
% 3 710 180 710 280 2 0
% r
\put(7.1000,-2.8000){\makebox(0,0)[lb]{r}}%
\put(7.6000,-0.8000){\makebox(0,0)[lb]{rt}}%
\put(7.6000,-5.0000){\makebox(0,0)[lb]{rb}}%
\end{picture}%
\vspace{-20pt}
\begin{tabbing}
\keyin{\newsavebox{\ }}{\BK newsavebox\opt{cmd}}\hspace{9em}
\=declare box\\
%
\keyin{\savebox{\ }[][]{}}{\BK savebox\opt{cmd}\Ops{width}\Ops{pos}\opt{text}}
\>fill box\\
%
\keyin{\sbox{\ }{}}{\BK sbox\opt{cmd}\opt{text}}
\>fill box\\
%
\keyin{\begin{lrbox}{\ } 0d 0a 0d 0a\end{lrbox}}%
{\BK begin\{lrbox\}\opt{cmd}{ \it\color{red}text }\BK end\{lrbox\}}
\>fill box\\
%
\keyin{\usebox{\ }}{\BK usebox\opt{cmd}}
\>use contents
\end{tabbing}
%\vspace*{-18pt}
\vspace*{-28pt}
\phantom{\tiny longtable}\hfill{\name{Tab}{Tab}}\hfill{\Goto{Hlt}{longtable}}
%%%%%%%%%%%%%
\keyin{\begin{tabbing} 0d 0a \= \\ 09% \\ -> \kill 0d 0a \> \\ 0d 0a\end{tabbing}}{\textsl{tabbing}}
\hfill\quad\F{kill}\qquad\F{pushtabs}\quad\F{poptabs}\hfill\Ref{tabbing}
\quad
indent: \F{+} \F{$-$}\hfill
this indent: \F{$<$}\hfill
left col: \F{'}\hfill
right most: \F{`}\\[-8pt]
\parbox{0.8\textwidth}{{\tiny
\quad\BK begin\{tabbing\}\\[-6pt]
\quad\quad$\cdots$\quad \BK= \quad$\cdots$\quad \BK= \quad$\cdots$\quad \quad\BK= \quad$\cdots$\quad\BK kill\\[-6pt]
\quad\quad$\cdots$\quad \BK$>$ \quad$\cdots$\quad \BK$>$ \quad$\cdots$\quad \quad\BK$>$ \quad$\cdots$\quad\BK\BK\\[-6pt]
\quad\quad$\cdots$\quad \BK$>$ \quad$\cdots$\quad \BK$>$ \quad$\cdots $\BK'\quad \BK$>$ \quad$\cdots$\quad
\BK+\quad\BK\BK\\[-6pt]
\quad\quad$\cdots$\quad \BK$>$ \quad \BK` $\cdots$\qquad\BK\BK\\[-6pt]
\quad\BK end\{tabbing\}
}}
\smallskip
%%%%%%%%%%%%
\keyin{\begin{tabular}[]{} 0d 0a & \\ 0d 0a & 0d 0a\end{tabular}}%
{\textsl{tabular}\Ops{pos}\opt{cols}}\qquad{\color{magenta}pos}: t b
\hfill\Ref{Htab}
\quad
\RED{cols} = \RED{column}: l c r p\opt{width}\qquad
\RED{separator}: $|$ $||$ \string@\opt{decl.}
\quad\keyin{\tabcolsep=%6pt}{\BK tabcolsep}={\it\color{red}len}\qquad
\keyin{\doublerulesep=%2pt}{\BK doublerulesep}={\it\color{red}len}\qquad
\F{hline}
\keyin{\begin{tabular*}{}[]{} 0d 0a & \\ 0d 0a & 0d 0a\end{tabular*}}%
{\textsl{tabular\ST}\opt{width}\Ops{pos}\opt{cols}}\qquad
\keyin{\extracolsep{\fill}}{\BK extracolsep\{\BK fill\}}
\vspace{5pt}
\parbox{0.5\textwidth}
{\tiny
\quad\BK begin\{tabular\}\{$|$ c $ | $ l $|$ l $|$ r $|$\}\BK hline\\
\quad\quad$\cdots$\quad \& \quad$\cdots$\quad \& \quad$\cdots$\quad \& \quad$\cdots$\quad\BK\BK\quad\BK hline\\
\quad\quad$\cdots$\quad \& \quad$\cdots$\quad \& \quad$\cdots$\quad \& \quad$\cdots$\quad\BK\BK\quad\BK hline\\
\quad\BK end\{tabular\}
}
\vspace{-30pt}
\hspace*{0.51\textwidth}
\parbox{0.5\textwidth}
{\tiny\BK[
\BK begin\{array\}\{$|$ c $ | $ l $|$ r \string@\{.\} l $|$\}\BK hline\\
\qquad$\cdots$\quad \& \quad$\cdots$\quad \& \quad$\cdots$\quad \& \quad$\cdots\quad$\BK\BK\quad\BK hline\\
\qquad$\cdots$\quad \& \quad$\cdots$\quad \& \quad$\cdots$\quad \& \quad$\cdots$\quad\BK\BK\\
\qquad$\cdots$\quad \& \ \BK multicolumn\{2\}\{c $|$\}\{$\cdots$\} \BK\BK\quad\BK hline\\
\quad\ \BK end\{array\} \BK]
}
%%%%%%%%%%%%%
\BK [
\keyin{\begin{array}[]{} 0d 0a & \\ 0d 0a & 0d 0a\end{array}}%
{\textsl{array}\Ops{pos}\opt{cols}} \BK]
\quad
\keyin{\arrayrulewidth=%0.4pt}{\BK arrayrulewidth}=\RED{len}\quad
\keyin{\extrarowheight=}{\BK extrarowheight}=\RED{len}\quad
\keyin{\renewcommand{\arraystretch}{}}%
{\BK arraystretch}{$\Leftarrow$\RED{val}}
\quad
\keyin{\cline{ - }}{\BK cline\opt{m--n}}
\quad \BK hline from the \RED{m}-th column to the \RED{n}-th\hfill
\F{vline}
\quad
\keyin{\multicolumn{}{}[]}%
{\BK multicolumn\opt{ncol}\opt{col}\opt{text}}
\qquad\RED{col}=\RED{column} \RED{separator}
\ more \RED{column}:
\keyin{p{ } % top}%
{p\opt{width}} = \BK parbox[t]\opt{width}\hfill\Ref{array}\\\hspace{6em}
\keyin{m{ } % center}%
{m\opt{width}} $\fallingdotseq$ \BK parbox\opt{width}\\\hspace{6.2em}
\keyin{b{ } % bottom}%
{b\opt{width}} = \BK parbox[b]\opt{width}\\
\ \RED{separator}:
\keyin{>{ }}{$>$\opt{decl.}} (pre-col.)\hfill
\keyin{<{ }}{$<$\opt{decl.}} (post-col.)\hfill
\keyin{!{ }}{$!$\opt{decl.}} (any)
\
\RED{cols}: $|$c$||$r\string @\{.\}l$|$%\{\BK vrule width 3pt\}%
$>$\{\BK parindent=5mm\}m\{2cm\}$|>$\{\$\}c$<$\{\$\}$|$\\
$\Rightarrow$ $|$ \RED{col1} $||$ \RED{col2}.\RED{col3} $|$\BK parabox\{2cm\}\{\BK paraindent=5mm \RED{col4}\}$|$\$\RED{col5}\$$|$
%%%
\newpage
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\hspace{10pt}\hfill\name{Pic}{Picture}\hfill\Goto{top}{Top}\\
\begin{z2col}[4em]
\keyin{\begin{picture}( , )( , ) 0d 0a 0d 0a\end{picture}}%
{\textsl{picture}(\RED{Dx},\RED{Dy})(\MGNT{x,y})}\quad\G{unitlength}=
\keyin{\put( , ){ }}{\BK put(\RED x,\RED y)\opt{object}}
\keyin{\multiput( , )( , ){ }{ }}{\BK multiput(\RED x,\RED y)%
(\RED{Dx},\RED{Dy})\opt{num}\opt{object}}
%WinTpicVersion3.08
\unitlength 0.1in
\kaidan
\ \vspace{-1.5ex}\\
\begin{picture}(2.9000, 0.000)(-30.9000, -5.0300)%(-6.9000, -4.0300)
% BOX 2 0 3 0
% 2 400 0 1000 300
%
\special{pn 8}%
\special{pa 400 0}%
\special{pa 1000 0}%
\special{pa 1000 300}%
\special{pa 400 300}%
\special{pa 400 0}%
\special{fp}%
% BOX 2 2 3 0
% 2 100 100 700 400
%
\special{pn 8}%
\special{pa 100 100}%
\special{pa 700 100}%
\special{pa 700 400}%
\special{pa 100 400}%
\special{pa 100 100}%
\special{dt 0.045}%
% DOT 1 0 3 0
% 1 400 300
%
\special{pn 13}%
\special{sh 1}%
\special{ar 400 300 10 10 0 6.28318530717959}%
% DOT 1 0 3 0
% 1 100 400
%
\special{pn 13}%
\special{sh 1}%
\special{ar 100 400 10 10 0 6.28318530717959}%
% VECTOR 2 0 3 0
% 2 400 300 100 400
%
\special{pn 8}%
\special{pa 400 300}%
\special{pa 100 400}%
\special{fp}%
\special{sh 1}%
\special{pa 100 400}%
\special{pa 170 398}%
\special{pa 152 384}%
\special{pa 158 360}%
\special{pa 100 400}%
\special{fp}%
% STR 2 0 3 0
% 3 90 400 90 500 2 0
% $(0,0)$
\put(0.9000,-5.8000){\makebox(0,0)[lb]{$(0,0)$}}%
% STR 2 0 3 0
% 3 430 170 430 270 2 0
% $(x,y)$
\put(4.3000,-2.7000){\makebox(0,0)[lb]{$(x,y)$}}%
% VECTOR 2 0 3 0
% 2 1050 0 1050 300
%
\special{pn 8}%
\special{pa 1050 0}%
\special{pa 1050 300}%
\special{fp}%
\special{sh 1}%
\special{pa 1050 300}%
\special{pa 1070 234}%
\special{pa 1050 248}%
\special{pa 1030 234}%
\special{pa 1050 300}%
\special{fp}%
% VECTOR 2 0 3 0
% 2 1050 50 1050 0
%
\special{pn 8}%
\special{pa 1050 50}%
\special{pa 1050 0}%
\special{fp}%
\special{sh 1}%
\special{pa 1050 0}%
\special{pa 1030 68}%
\special{pa 1050 54}%
\special{pa 1070 68}%
\special{pa 1050 0}%
\special{fp}%
% STR 2 0 3 0
% 3 1080 110 1080 210 2 0
% $Dy$
\put(10.8000,-2.1000){\makebox(0,0)[lb]{$Dy$}}%
% VECTOR 2 0 3 0
% 4 400 50 1000 50 450 50 400 50
%
\special{pn 8}%
\special{pa 400 -50}%
\special{pa 1000 -50}%
\special{fp}%
\special{sh 1}%
\special{pa 1000 -50}%
\special{pa 934 -70}%
\special{pa 948 -50}%
\special{pa 934 -30}%
\special{pa 1000 -50}%
\special{fp}%
\special{sh 1}%
\special{pa 400 -50}%
\special{pa 468 -30}%
\special{pa 454 -50}%
\special{pa 468 -70}%
\special{pa 400 -50}%
\special{fp}%
% STR 2 0 3 0
% 3 540 -90 540 10 2 0
% $Dx$
\put(5.800,0.800){\makebox(0,0)[lb]{$Dx$}}%
\end{picture}%
\end{z2col}\\[-4pt]
\RED{object}:\\
\qquad
\keyin{\line( , ){ }}{\BK line(\RED{Dx},\RED{Dy})\opt L}
\quad\ \ \,
$-6\le$\RED{Dx}$,\,$\RED{Dy}$\le 6$, $\RED{Dx}$, $\RED{Dy}$: integer\\
\qquad
\keyin{\vector( , ){ }}{\BK vector(\RED{Dx},\RED{Dy})\opt L}
\quad $-4\le$\RED{Dx}$,\,$\RED{Dy}$\le 4$, $\RED{Dx}$, $\RED{Dy}$: integer\\
\qquad
\keyin{\circle{ }}{\BK circle\opt{diam}}\hfill
\keyin{\circle*{ }}{\BK circle\ST\opt{diam}} (fill circle)
\\
\qquad
\keyin{\oval( , )}{\BK oval(\RED{Dx},\RED{Dy})\Ops{pos}}\qquad
\MGNT{pos}: l c r t u b
\smallskip
\rightline{\href{file:input9.dvi}{\colorbox{green}{\tiny\sf Xy-pic}}%
\quad\href{file:input8.dvi#young}{\colorbox{green}{\tiny\sf Young}}%
\quad \Goto{bar}{bar}}
\vspace*{-2ex}
\centerline{\name{Fig}{Figure}}
\keyin{\begin{figure} 0d 0a 0d 0a\end{figure}}%
{\textsl{figure}\Ops{pos}}
\qquad
\keyin{\begin{table} 0d 0a 0d 0a\end{table}}%
{\textsl{table}\Ops{pos}}
\qquad
\keyin{\begin{figure*} 0d 0a 0d 0a\end{figure*}}%
{\textsl{figure\ST}\Ops{pos}}
\qquad
\keyin{\begin{table*} 0d 0a 0d 0a\end{table*}}%
{\textsl{table\ST}\Ops{pos}}
\quad
\keyin{\renewcommand{\figurename}{ }}{\BK figurename}\qquad
\keyin{\renewcommand{\tablename}{ }}{\BK tablename}
\MGNT{pos}: h (here)\quad t (top)\quad b (bottom)\quad p (last page)
\quad(h$>$t$>$b$>$p)
\RED{ratio} (0$\le$\RED{ratio}$\le$1):\qquad
\keyin{\renewcomamnd{\topflaction}{}}{\BK topflaction}
\keyin{\renewcomamnd{\bottomfraction}{}}{\BK bottomfraction}
\keyin{\renewcomamnd{\textflaction}{}}{\BK textflaction}\\
\quad
\keyin{\renewcomamnd{\dbltopflaction}{}}{\BK dbltopflaction}
\keyin{\renewcomamnd{\dblfloatpagefraction}{}}{\BK dblfloatpagefraction}
\RED{len}:
\keyin{\floatsep=}{\BK floatsep}
\keyin{\textfloatsep=}{\BK textfloatsep}
\keyin{\intextsep=}{\BK intextsep}
\keyin{\dblfloatsep=}{\BK dblfloatsep}
\keyin{\dbltextfloatsep=}{\BK dbltextfloatsep}
\smallskip
\keyin{\usepackage{floatfig}}{\BK usepackage\{floatfig\}}
\qquad
\keyin{\begin{floatingfigre}{} % {width}
\end{floatingfigre}
}{\textsl{floatingfigure}\Ops{width}}
\keyin{\usepackage{wrapfig}}{\BK usepackage\{wrapfig\}}
\qquad
\keyin{\begin{wrapfigure}{}{} % {rl}{width}
\end{wrapfigure}
}{\textsl{wrapfigure}\Ops{nlines}\opt{rl}\opt{width}}
\smallskip
\centerline{\name{Verb}{Verb}}
\keyin{\verb| |}{\BK verb\textcolor{red}{$|$}\RED{text}\textcolor{red}{$|$}}
\hfill
\keyin{\begin{verbatim} 0d 0a\end{verbatim}}{\textsl{verbatim}}
\hfill
\keyin{\verb*| |}{\BK verb\ST\textcolor{red}{$|$}\RED{text}\textcolor{red}{$|$}}\hfill
\keyin{\begin{verbatim*} 0d 0a\end{verbatim*}}{\textsl{verbatim}\ST}
\ (\,$\textvisiblespace$ \ for a space)
\smallskip
\hspace*{2em}\hfill\name{Foot}{Footnote}\hfill\Goto{count}{Count}
\keyin{\footnote{}}{\BK footnote\Ops{count}\opt{text}}
\keyin{\footnotemark[ ]}%
{\BK footnotemark\Opt{count}}\hfill
\keyin{\footnotetext[ ]{ }}%
{\BK footnotetext\Ops{count}\opt{text}}
\G{footnotesep}=\qquad
\keyin{\renewcommand{\footnoterule}}%
{\BK renewcommand\{\BK footnoterule\}}\opt{rule}
\quad
\RED{rule}: \keyin{\noindent\rule{130mm}{0.5mm}\vspace{1mm}}%
{\BK noindent\BK rule\{130mm\}\{0.5mm\}\BK vspace\{1mm\}}
\smallskip
\centerline{\name{Ref}{Reference}}
\keyin{\label{}}{\BK label\opt{label}}
\quad
\keyin{\ref{}}{\BK ref\opt{label}}
\keyin{\eqref{}}{\BK eqref\opt{label}}
\keyin{\pageref{}}{\BK pageref\opt{label}}
\keyin{\begin{thebibliography}{ } % widest entry 0d 0a 0d 0a 0d 0a\end{bibliography}}%
{\textsl{thebibliography}\opt{widest\_entry}}
\quad
\keyin{\bibitem[ ]{ }}%
{\BK bibitem\Ops{label}\opt{cite\_key}}\RED{contents}
\keyin{\cite{ }}{\BK cite\Ops{text}\opt{cite\_key\_list}}
\smallskip
\centerline{\name{Idx}{Index}}
\F{makeindex}
\hfill$\Rightarrow$\hfill
\keyin{\usepackage{makeidx}}{\BK usepackage\{makeidx\}}
\hfill$\Rightarrow$\hfill
\F{printindex}
\keyin{\index{}}%
{\BK index\{\RED{key}\MGNT{\string@visual\,!%
\,key${}_2$@visual${}_2$\,!\,$\cdots|${\sl see}\{text\}}\} }
\qquad
\keyin{|(}{$|$(} (top of pages)\qquad
\keyin{|)}{$|$)} (end of pages)
\qquad
\keyin{\renewcommand{\seename}{ }}{\BK seename} (see)\quad
\keyin{\renewcommand{\indexname}{ }}{\BK indexname} (Index)
\newpage
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\centerline{\name{count}{Counter}\gotop{9cm}}
{\small\
\keyin{\setcounter{part}{}}{part}\hfill
\keyin{\setcounter{section}{}}{section}\hfill
\keyin{\setcounter{subsection}{}}{subsection}\hfill
\keyin{\setcounter{subsubsection}{}}{subsubsection}\hfill
\keyin{\setcounter{paragraph}{}}{paragraph}\hfill
\keyin{\setcounter{subparagraph}{}}{subparagraph}
\
\keyin{\setcounter{equation}{}}{equation}\hfill
\keyin{\setcounter{figure}{}}{figure}\hfill
\keyin{\setcounter{table}{}}{table}\hfill
\keyin{\setcounter{page}{}}{page}\hfill
\keyin{\setcounter{footnote}{}}{footnote}\hfill
\keyin{\setcounter{mpfootnot}{}}{mpfootnote}
\
\keyin{\setcounter{enumi}{}}{enumi}\hfill
\keyin{\setcounter{enumii}{}}{enumii}\hfill
\keyin{\setcounter{enumiii}{}}{enumiii}\hfill
\keyin{\setcounter{enumiv}{}}{enumiv}\qquad(List)
\keyin{\newcounter{}}{\BK newcounter\{{\color{red}counter}\}}
\hfill
\keyin{\value{}}{\BK value\{{\color{red}counter}\}}
\keyin{\setcounter{}{}}{\BK setcounter\{{\color{red}counter}\}%
\{{\color{red}value}\}}
\hfill
\keyin{\addtocounter{}{}}{\BK addtocounter\{{\color{red}counter}\}%
\{{\color{red}value}\}}
\keyin{\advance\value{ } by }{\BK advance\BK value%
\{{\color{red}counter}\} by {\color{red}value}}
\keyin{\multiply\value{ } by }{\BK multiply\BK value%
\{{\color{red}counter}\} by {\color{red}value}}
\keyin{\divide\value{ } by }{\BK divide\BK value%
\{{\color{red}counter}\} by {\color{red}value}}
\keyin{\renewcommand{\the }{ }}{\BK renewcommand\{\BK %
the{\color{red}counter}$\}\{${\color{red}format}$\}$}
\hfill\Ref{HCt}
\quad
\F{arabic}
\F{alph}
\F{Alph}
\F{roman}
\F{Roman}
\F{fnsymbol}
Ex: \verb|\renewcommand{\thepage}{--\arabic{page}--}|
\qquad
\verb|\setcounter{page}{12}|}
\small{
\centerline{\name{Chap}{Chapter}}
\keyin{\part{}}{\BK part}
\keyin{\chapter{}}{\BK chapter}
\keyin{\section{}}{\BK section}
\keyin{\subsection{}}{\BK subsection}
\keyin{\subsubsection{}}{\BK subsubsection}
\keyin{\paragraph{}}{\BK paragraph}
\keyin{\subparagraph{}}{\BK subparagraph}
\keyin{\appendix}{\BK appendix}
\keyin{\renewcommand{\partname}{}}{\BK partname}
\keyin{\renewcommand{\chaptername}{}}{\BK chaptername}
\hfill{\Ref{HCp}}
\keyin{\renewcommand{\prepartname}{}}{\BK prepartname}
\keyin{\renewcommand{\postpartname}{}}{\BK postpartname}
\keyin{\renewcommand{\prechaptername}{}}{\BK prechaptername}
\keyin{\renewcommand{\postchaptername}{}}{\BK postchaptername}
\keyin{\renewcommand{\abstractname}{}}{\BK abstractname}
\keyin{\renewcommand{\appendixname}{}}{\BK appendixname}
\keyin{\renewcommand{\contentsname}{}}{\BK contentsname}
\keyin{\renewcommand{\figurename}{}}{\BK figurename}
\keyin{\renewcommand{\tablename}{}}{\BK tablename}
\keyin{\renewcommand{\listfigurename}{}}{\BK listfigurename}
\keyin{\renewcommand{\listtablename}{}}{\BK listtablename}
\keyin{\renewcommand{\refname}{}}{\BK refname}
\keyin{\renewcommand{\bibname}{}}{\BK bibname}
\medskip
{\small 1 inch = 72.27 pt = 25.4 mm,\quad 1 pt = 0.35146 mm
\name{A4}{A4}: $
\begin{cases}
\text{\BK paperwidth = 210 mm = 597 pt}\\
\text{\BK paperheight = 297mm = 845 pt}
\end{cases}$
\begin{tabbing}
\hspace{2.5cm}\keyin{\documentclass[a4paper]{article} 0d 0a}%
{\BK documentclass[a4paper]\{article\}}\\
\BK textwidth=345pt=121.25mm
\qquad
\=\BK textheight=598pt=210.2mm\\
\BK oddsidemargin=53pt=18.6mm
\>
\BK topmargin=17pt=6.0mm\\
\BK headheight=12pt=4.2mm
\>
\BK headsep=25pt=8.8mm\\
\BK marginparwidth=57pt=20.0mm
\>
\BK marginparsep=11pt=3.9mm\\[2pt]
\hspace{2.5cm}\keyin{\documentclass[a4j]{jarticle} 0d 0a}%
{\BK documentclass[a4j]\{jarticle\}}\\
\BK textwidth=418pt=146.9mm
\>
\BK textheight=641pt=225.3mm\\
\BK oddsidemargin=17pt=6.0mm
\>
\BK topmargin=$-$3pt=$-$1.1mm\\
\BK headheight=12pt=4.2mm
\>
\BK headsep=25pt=8.8mm\\
\BK marginparwidth=60pt=21.1mm
\>
\BK marginparsep=10pt=3.5mm\\[2pt]
\hspace{2.5cm}\keyin{\documentclass[a4j]{jsarticle} 0d 0a}%
{\BK documentclass[a4j]\{jsarticle\}}\\
\BK textwidth=453pt=159.2mm
\>
\BK textheight=634pt=222.8mm\\
\BK oddsidemargin=0pt=0mm
\>
\BK topmargin=4pt=1.4mm\\
\BK headheight=20pt=7.0mm
\>
\BK headsep=18pt=6.3mm\\
\BK marginparwidth=18pt=6.3mm
\>
\BK marginparsep=18pt=6.3mm\\
\end{tabbing}}
}
\newpage
\centerline{\name{Graph}{Graphics}\gotop{9cm}}
\keyin{\usepackage[]{graphicx}}{\BK usepackage\Ops{opt}\{graphicx\}}\qquad
\keyin{\usepackage[]{graphicx,color}}%
{\BK usepackage\Ops{opt}\{graphicx,color\}}\\
\ \MGNT{opt}: dvips dviout dvipdfm xdvi pdftex draft final hiresbb
\keyin{\includegraphics[]{ }}%
{\BK includegraphics\Ops{para}\{file\_name\}}\\
\ \MGNT{para}: width=\RED{len}, height=\RED{len},
scale=\RED{value}, keepaspectratio, clip\\
\quad bb=\RED{$x_1\ y_1\ x_2\ y_2$} (ex.~bb=0 0 640 480), hiresbb, draft\\
\quad trim=\RED{l b r t}\quad(by 1/72 inch, ex.~trim=0 0 5 0)\\
\quad angle=\RED{value}\quad(by degree)\\[-8pt]
\keyin{\rotatebox[]{}{}}%
{\BK rotatebox\Ops{opt}\opt{angle}\opt{text}}\quad
\RED{angle}: counterclockwise by \rotatebox{30}{degree}\\
\ \MGNT{opt}: origin=lrctbB (B:Baseline),
x=\RED{len}, y=\RED{len}\\
\quad units=6.2832 (by radian)\\
\keyin{\scalebox{}[]{}}%
{\BK saclebox\opt{scale}\Ops{vscale}\opt{text}}
\quad\scalebox{0.8}[1.6]{scalebox}\\
\keyin{\reflectbox{}}{\BK reflectbox\opt{text}}
\quad\reflectbox{reflectbox}\\
\keyin{\resizebox{}{}{}}%
{\BK resizebox\opt{width}\opt{height}\opt{text}}\ \
\BK width \BK height \BK hsize !\MGNT{=keep ratio}\\
\quad ex: \BK resizebox\{0.9\BK hsize\}\{!\}\{$\cdots$\}\\
\keyin{\resizebox*{}{}{}}%
{\BK resizebox\ST\opt{width}\opt{height$+$depth}\opt{text}}\\[-5pt]
\name{Color}{}
\keyin{{\color{} }}%
{\{\BK color\Ops{opt}\opt{col}\RED{text}\}}\qquad
\keyin{\textcolor{}{ }}%
{\BK textcolor\Ops{opt}\opt{col}\opt{text}}\\
\ \RED{col}:
{\color{black}black} {\colorbox{black}{\color{white}white}} {\color{red}red}
{\color{green}green} {\color{blue}blue} {\color{cyan}cyan}
{\color{magenta}magenta} {\color{yellow}yellow}\\
\ \Ops{opt}\opt{col}: [gray]\opt{val} [rgb]\{\RED{r},\RED{g},\RED{b}\}
[cmyk]\{\RED{c},\RED{m},\RED{y},\RED{k}\} [named]\opt{color}\\
\keyin{\colorbox{}{}}{\BK colorbox\Ops{opt}\opt{col}\opt{text}}
\qquad
\colorbox[gray]{0.8}{colorbox}\\
\keyin{\fcolorbox{}{}{ }}%
{\BK fcolorbox\Ops{opt}\opt{frame\_col}\opt{fill\_col}\opt{text}}\qquad
{\fboxrule=0.8mm \fcolorbox{red}{yellow}{fcolorbox}}\\
\qquad\G{fboxrule}=\RED{len} \G{fboxsep}=\RED{len}\quad
\keyin{\definecolor{}{}{}}%
{\BK definecolor\opt{name}\opt{opt}\opt{value}} \\[-5pt]
\colorbox[named]{GreenYellow}{GreenYellow}
\colorbox[named]{Yellow}{Yellow}
\colorbox[named]{Goldenrod}{Goldenrod}
\colorbox[named]{Dandelion}{Dandelion}
\colorbox[named]{Apricot}{Apricot}
\colorbox[named]{Peach}{Peach}
\colorbox[named]{Melon}{Melon}
\colorbox[named]{YellowOrange}{YellowOrange}
\colorbox[named]{Orange}{Orange}
\colorbox[named]{BurntOrange}{BurntOrange}
\colorbox[named]{Bittersweet}{Bittersweet}
\colorbox[named]{RedOrange}{RedOrange}
\colorbox[named]{Mahogany}{Mahogany}
\colorbox[named]{Maroon}{Maroon}
\colorbox[named]{BrickRed}{BrickRed}
\colorbox[named]{Red}{Red}
\colorbox[named]{OrangeRed}{OrangeRed}
\colorbox[named]{RubineRed}{RubineRed}
\colorbox[named]{WildStrawberry}{WildStrawberry}
\colorbox[named]{Salmon}{Salmon}
\colorbox[named]{CarnationPink}{CarnationPink}
\colorbox[named]{Magenta}{Magenta}
\colorbox[named]{VioletRed}{VioletRed}
\colorbox[named]{Rhodamine}{Rhodamine}
\colorbox[named]{Mulberry}{Mulberry}
\colorbox[named]{RedViolet}{RedViolet}
\colorbox[named]{Fuchsia}{Fuchsia}
\colorbox[named]{Lavender}{Lavender}
\colorbox[named]{Thistle}{Thistle}
\colorbox[named]{Orchid}{Orchid}
\colorbox[named]{DarkOrchid}{DarkOrchid}
\colorbox[named]{Purple}{Purple}
\colorbox[named]{Plum}{Plum}
\colorbox[named]{Violet}{Violet}
\colorbox[named]{RoyalPurple}{RoyalPurple}
\colorbox[named]{BlueViolet}{\textcolor{white}{BlueViolet}}
\colorbox[named]{Periwinkle}{\textcolor{white}{Periwinkle}}
\colorbox[named]{CadetBlue}{\textcolor{white}{CadetBlue}}
\colorbox[named]{CornflowerBlue}{CornflowerBlue}\hfill
\colorbox[named]{MidnightBlue}{\textcolor{white}{MidnightBlue}}
\colorbox[named]{NavyBlue}{NavyBlue}
\hfill
\colorbox[named]{RoyalBlue}{RoyalBlue}
\hfill
\colorbox[named]{Blue}{\textcolor{white}{Blue}}
\hfill
\colorbox[named]{Cerulean}{Cerulean}
\hfill
\colorbox[named]{Cyan}{Cyan}
\hfill
\colorbox[named]{ProcessBlue}{ProcessBlue}
\colorbox[named]{SkyBlue}{SkyBlue}
\hfill
\colorbox[named]{Turquoise}{Turquoise}
\hfill
\colorbox[named]{TealBlue}{TealBlue}
\hfill
\colorbox[named]{Aquamarine}{Aquamarine}
\hfill
\colorbox[named]{BlueGreen}{BlueGreen}
\hfill
\colorbox[named]{Emerald}{Emerald}
\colorbox[named]{JungleGreen}{JungleGreen}\!
\colorbox[named]{SeaGreen}{SeaGreen}\!
\colorbox[named]{Green}{Green}\!
\colorbox[named]{ForestGreen}{ForestGreen}\!
\colorbox[named]{PineGreen}{PineGreen}\!
\colorbox[named]{LimeGreen}{LimeGreen}
\colorbox[named]{YellowGreen}{YellowGreen}
\colorbox[named]{SpringGreen}{SpringGreen}
\colorbox[named]{OliveGreen}{OliveGreen}
\colorbox[named]{RawSienna}{RawSienna}
\colorbox[named]{Sepia}{\textcolor{white}{Sepia}}
\colorbox[named]{Brown}{\textcolor{white}{Brown}}
\colorbox[named]{Tan}{Tan}
\colorbox[named]{Gray}{Gray}
\colorbox[named]{Black}{\color[named]{White}Black}
{\fboxrule=0.7mm\fcolorbox[named]{Black}{White}
{\special{color push Black}White\special{color pop}}
\newpage
%%%%%%%%%%%%%%%%%%%%%%%% Sample %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\centerline{\name{Ex}{Sample}\gotop{9cm}}
\name{Face}{}{\verb|\text|\textcolor{red}{$\cdot\cdot$}\verb|{ }|\quad:
\rm\keyin{\textrm{}}{\textrm{Roman}}
\keyin{\textbf{}}{\textbf{Boldface}}
\keyin{\textit{}}{\textit{Italic}}
\keyin{\textsl{}}{\textsl{Slanted}}
\keyin{\textsf{}}{\textsf{Sans\_Serif}}
\keyin{\texttt{}}{\texttt{Typewriter}}
\keyin{\textsc{}}{\textsc{Small\_Caps}}}
\F{normalfont}
\quad
\F{rmfamily}
\F{sffamily}
\F{ttfamily}
\quad
\F{mcfamily}
\F{gtfamily}
\F{bfseries}
\F{mdseries}
\qquad
\F{upshape}
\F{itshape}
\F{slshape}
\F{scshape}
\name{frak}{}%
\makebox[\textwidth][s]{
\R{\mathfrak A}
\R{\mathfrak B}
\R{\mathfrak C}
\R{\mathfrak D}
\R{\mathfrak E}
\R{\mathfrak F}
\R{\mathfrak G}
\R{\mathfrak H}
\R{\mathfrak I}
\R{\mathfrak J}
\R{\mathfrak K}
\R{\mathfrak L}
\R{\mathfrak M}
\R{\mathfrak N}
\R{\mathfrak O}
\R{\mathfrak P}
\R{\mathfrak Q}
\R{\mathfrak R}
\R{\mathfrak S}
\R{\mathfrak T}
\R{\mathfrak U}
\R{\mathfrak V}
\R{\mathfrak W}
\R{\mathfrak X}
\R{\mathfrak Y}
\R{\mathfrak Z}
}
\makebox[\textwidth][s]{
\R{\mathfrak a}
\R{\mathfrak b}
\R{\mathfrak c}
\R{\mathfrak d}
\R{\mathfrak e}
\R{\mathfrak f}
\R{\mathfrak g}
\R{\mathfrak h}
\R{\mathfrak i}
\R{\mathfrak j}
\R{\mathfrak k}
\R{\mathfrak l}
\R{\mathfrak m}
\R{\mathfrak n}
\R{\mathfrak o}
\R{\mathfrak p}
\R{\mathfrak q}
\R{\mathfrak r}
\R{\mathfrak s}
\R{\mathfrak t}
\R{\mathfrak u}
\R{\mathfrak v}
\R{\mathfrak w}
\R{\mathfrak x}
\R{\mathfrak y}
\R{\mathfrak z}
}
\makebox[\textwidth][s]{
\R{\mathcal A}
\R{\mathcal B}
\R{\mathcal C}
\R{\mathcal D}
\R{\mathcal E}
\R{\mathcal F}
\R{\mathcal G}
\R{\mathcal H}
\R{\mathcal I}
\R{\mathcal J}
\R{\mathcal K}
\R{\mathcal L}
\R{\mathcal M}
\R{\mathcal N}
\R{\mathcal O}
\R{\mathcal P}
\R{\mathcal Q}
\R{\mathcal R}
\R{\mathcal S}
\R{\mathcal T}
\R{\mathcal U}
\R{\mathcal V}
\R{\mathcal W}
\R{\mathcal X}
\R{\mathcal Y}
\R{\mathcal Z}
}
\makebox[\textwidth][s]{
\R{\mathbb A}
\R{\mathbb B}
\R{\mathbb C}
\R{\mathbb D}
\R{\mathbb E}
\R{\mathbb F}
\R{\mathbb G}
\R{\mathbb H}
\R{\mathbb I}
\R{\mathbb J}
\R{\mathbb K}
\R{\mathbb L}
\R{\mathbb M}
\R{\mathbb N}
\R{\mathbb O}
\R{\mathbb P}
\R{\mathbb Q}
\R{\mathbb R}
\R{\mathbb S}
\R{\mathbb T}
\R{\mathbb U}
\R{\mathbb V}
\R{\mathbb W}
\R{\mathbb X}
\R{\mathbb Y}
\R{\mathbb Z}
}
\F{sideset}
\F{mathop}
\F{overset}
\F{stackrel}
\F{atop}
\F{atopwithdelims}
$\keyin{\sideset{_a^b}{_c^d}\sum}%
{\sideset{_a^b}{_c^d}\sum}$\hfill
$\keyin{\mathop{\Phi}_{n=1}^\infty}{\mathop{\Phi}_{n=1}^\infty}$\hfill
abc\hfill
$\keyin{\overset c{ab}}{\overset c{ab}}$\hfill
$\keyin{\stackrel{\stackrel{c}{bb}}{aaa}}{\stackrel{\stackrel{c}{bb}}{aaa}}$%
\hfill
$\keyin{c\atop ab}{c\atop ab}$\hfill
$\keyin{\displaystyle c\atop\displaystyle ab}%
{\displaystyle c\atop\displaystyle ab}$\hfill
$\keyin{b\atopwithdelims<>a}{b\atopwithdelims<>a}$\hfill
$\keyin{\displaystyle b\atopwithdelims.\ 7d\displaystyle a}%
{\displaystyle b\atopwithdelims.\}\displaystyle a}$\hfill
abc
$\keyin{(\overbrace{0,\ldots,0,1,\ldots,1}^{p+q},2,\ldots,2 0d 0a\llap{$\underbrace{\phantom{1,\ldots,1,2,\ldots,2}}_{q+r}$})}{%
(\overbrace{0,\ldots,0,1,\ldots,1}^{p+q},2,\ldots,2
\llap{$\underbrace{\phantom{1,\ldots,1,2,\ldots,2}}_{q+r}$})}$
\centerline{\name{Macro}{Macros}\gotop{9cm}}
\keyin{\ensuremath{}}{\BK ensuremath\opt{math-text}}
\keyin{\newif\if }{\BK newif\BK if\RED{name}}\qquad
\BK\RED{name}true \BK\RED{name}false
\quad\keyin{\if %name
\else
\fi
}{\BK if\RED{name} \RED{true-case} \BK else \RED{false-case} \BK fi}
\keyin{\ifFileExists{ }
{ }
{ }}{\BK IfFileExists\opt{filename}\opt{true-case}\opt{false-case}}
\medskip
\centerline{\name{Ex}{Sample Macros}\gotop{7.7cm}}
\keyin{\makeatletter
\newcommand{\ruby}[3][0zw]{% okumura
\leavevmode
\dimen1=#1\relax
\dimen3=\f@size\p@
\setbox1=\hbox{#2}%
\setbox3=\hbox{\rubyfamily\fontsize{0.5\dimen3}{0pt}\selectfont #3}%
\ifdim\dimen1=\z@
\ifdim\wd1>\wd3 \dimen1=\wd1 \else \dimen1=\wd3 \fi
\fi
\hbox{%
\kanjiskip=0pt plus 2fil
\xkanjiskip=0pt plus 2fil
\vbox{%
\hbox to \dimen1{\rubyfamily
\fontsize{0.5\dimen3}{0pt}\selectfont \kanjistrut
\ifdim\dimen1<\wd3
\hss\unhbox3\hss
\else
\hfil\unhbox3\hfil
\fi
}%
\nointerlineskip
\hbox to \dimen1{\kanjistrut\hfil\unhbox1\hfil}}}}
\makeatother
}{\BK ruby\opt{text}\opt{ruby}\ops{font}}: p\LaTeX
%\hfill$\overset{\RED{ruby}}{\RED{text}}$
\quad{\BK ruby% okumura
\raisebox{-3.5pt}{\includegraphics[width=2.8em, bb=0 0 246 102]{jouge.bmc}}%
\raisebox{-4pt}{\includegraphics[width=4.63em, bb=0 0 407 100]{ueshita.bmc}}%
\hfill
\raisebox{-3.2pt}{\includegraphics[width=2.02em, bb=0 0 177 131]{rubi.bmc}}
\keyin{\makeatletter
\def\kenten#1{% okumura
\ifvmode\leavevmode\else\hskip\kanjiskip\fi
\setbox1=\hbox to \z@{E\hss}%
\ht1=.63zw
\@kenten#1\end}
\def\@kenten#1{%
\ifx#1\end \let\next=\relax \else
\raise.63zw\copy1\nobreak #1\hskip\kanjiskip\relax
\let\next=\@kenten
\fi\next}
\makeatother
}%
{\BK kenten\opt{text}}: \qquad p\LaTeX\qquad
\BK kenten%
\raisebox{-3.5pt}{\includegraphics[width=2.8em, bb=0 0 246 102]{jouge.bmc}}
\hfill
\raisebox{-3.2pt}{\includegraphics[width=1.95em, bb=0 0 171 108]{kenten.bmc}}
\keyin{\newcommand{\kintou}[2]{%
\leavevmode
\hbox to #1{%
\kanjiskip=0pt plus 1fil minus 1fil
\xkanjiskip=\kanjiskip
#2}}
}%
{\BK kintou\opt{len}\opt{text}}: p\LaTeX\qquad
\BK kintou\{1cm\}%
\raisebox{-3.5pt}{\includegraphics[width=2.8em, bb=0 0 246 102]{jouge.bmc}}
\hfill
\raisebox{-3pt}{\includegraphics[width=2.66em, bb=0 0 234 84]{kintou.bmc}}
\keyin{\makeatletter
\def\slantbox#1#2{% #1: angle (|#1| <= 30 degree), #2: text (by misc)
%%% tau := tan(angle)
\leavevmode
\begingroup
\setbox\@tempboxa\hbox{#2}%
\dimen@#1\p@
\ifdim\dimen@<\z@
\def\@tempa{-#1}%
\def\@hcorr{\the\@tempdima}%
\else
\def\@tempa{#1}%
\def\@hcorr{\z@}%
\fi
\expandafter\CalculateTan\expandafter{\@tempa}%
\@tempdima\ht\@tempboxa \@tempdima \UseTan\@tempa \@tempdima
\edef\@hcorr{\@hcorr}%
\advance\@tempdima\wd\@tempboxa
\@tempdimb\ht\@tempboxa \@tempdimc\dp\@tempboxa
\CalculateTan{#1}%
\dimen@ \UseTan{#1}\p@ \divide\dimen@\tw@
\edef\@x{\strip@pt\dimen@}%%% \@x = tau / 2
\dimen@\@x\p@ \dimen@\@x\dimen@
\edef\@xx{\strip@pt\dimen@}%%% \@xx = (tau / 2)^2
\setbox\z@\hbox{%
\@find@rotate@angle
\@find@scaling@factor
\wd\@tempboxa\z@ \ht\@tempboxa\z@ \dp\@tempboxa\z@%%% (*)
\hskip\@hcorr
\rotatebox{\@angleii}%
{\scalebox{\@factori}[\@factorii]%
{\rotatebox{\@anglei}{\box\@tempboxa}}}}%
\wd\z@\@tempdima \ht\z@\@tempdimb \dp\z@\@tempdimc%%% (*)
\box\z@
\endgroup}
\def\@find@rotate@angle{%
\@tempdima\@x\p@ \@tempdimb\@x\p@ \count@\@ne
\def\@tempsign{+}%
\@whilenum9>\count@\do{%
\advance\count@\tw@
\edef\@tempsign{\if+\@tempsign -\else +\fi}%
\@tempdimb\@xx\@tempdimb
\dimen@\@tempdimb \divide\dimen@\count@
\advance\@tempdima\@tempsign\dimen@}%
\@tempdima-28.64789\@tempdima \advance\@tempdima 45\p@
\edef\@anglei{\strip@pt\@tempdima}%%% pi / 4 - (arctan (tau / 2)) / 2
\advance\@tempdima-90\p@
\edef\@angleii{\strip@pt\@tempdima}}%%% \@angleii = \@anglei - (pi/2)
\def\@find@scaling@factor{%
\@tempdima\p@ \@tempdimb\p@
\@tempdimb \@xx\@tempdimb
\dimen@\@tempdimb \divide\dimen@\tw@
\advance\@tempdima \dimen@
\@tempdimb \@xx\@tempdimb
\dimen@\@tempdimb \divide\dimen@ 8
\advance\@tempdima-\dimen@
\@tempdimb \@xx\@tempdimb
\dimen@\@tempdimb \divide\dimen@ 16
\advance\@tempdima \dimen@
\@tempdimb \@xx\@tempdimb
\dimen@\@tempdimb \multiply\dimen@ 5 \divide\dimen@ 128
\advance\@tempdima-\dimen@
\dimen@\@tempdima \advance\dimen@-\@x\p@
\edef\@factori{\strip@pt\dimen@}%%% sqrt((tau/2)^2 + 1) - (tau/2)
\dimen@\@tempdima \advance\dimen@\@x\p@
\edef\@factorii{\strip@pt\dimen@}}%%% sqrt((tau/2)^2 + 1) + (tau/2)
\makeatother
}{\BK slantbox\opt{angle}\opt{text}}:\hfill $-30\le$\RED{\,angle\,}$\le30$ (by degree, use graphicx)
\quad
\verb|\slantbox{-12}{slant} \slantbox{30}|\raisebox{-3.5pt}{\includegraphics[width=2.8em, bb=0 0 246 102]{jouge.bmc}}
\hfill
\slantbox{-12}{slant} \raisebox{-1.5pt}{\includegraphics[width=2.38em, bb=0 0 209 83]{slant.bmc}}
\keyin{\def\coord#1#2#3{{\left(#1_{#2},\ldots,#1_{#3}\right)}} 0d 0a}
{\BK coord\{\#1\}\{\#2\}\{\#3\}}:\hfill
$\left({\color{red}\#1_{\#2}},\ldots,{\color{red}\#1_{\#3}}\right)$
\quad
\verb|\coord x1n|:\hfill $\left(x_1,\ldots,x_n\right)$
\keyin{\def\set#1#2#3{{\left\{#1_{#2},\ldots,#1_{#3}\right\}}} 0d 0a}
{\BK set\{\#1\}\{\#2\}\{\#3\}}:\hfill
$\left\{{\color{red}\#1_{\#2}},\ldots,{\color{red}\#1_{\#3}}\right\}$
\quad
\verb|\set a1n|:\hfill$\left\{a_1,\ldots,a_n\right\}$
\keyin{\newcommand{\setdef}[3][;]{{\left\{#2\,#1\,#3\right\}}} 0d 0a}
{\BK setdef\{\#1\}\{\#2\}}:\hfill
$\left\{{\color{red}\#1}\MGNT{;}{\color{red}\#2}\right\}$
\quad
\verb|\setdef{(x,y)}{x^2+y^2=1}|:\hfill$\left\{(x,y)\,;\,x^2+y^2=1\right\}$
\quad
\verb/\setdef[|]{(x,y)}{x^2+y^2=1}/:\hfill$\left\{(x,y)\,|\,x^2+y^2=1\right\}$
\keyin{\newcommand{\ang}[3][,]{{\left\langle#2#1#3\right\rangle}} 0d 0a}
{\BK ang\{\#1\}\{\#2\}}:\hfill
$\langle{\color{red}\#1}\MGNT{,}{\color{red}\#2}\rangle$
\quad
\verb|\ang\alpha\beta|:\hfill $\left\langle\alpha,\beta\right\rangle$
\quad
\verb/\ang[|]\alpha\beta/:\hfill $\left\langle\alpha|\beta\right\rangle$
%%%%%%%%%% equations %%%%%%%%%%%
\newpage
{\small\name{H:Eq}{}%
%
\begin{minipage}{0.5\textwidth}
\begin{Alltt}\\begin\{equation\}
\\begin\{\red{split}\}
a\red{&} =b+c-d\red{\\\\[-3pt]}
\red{&} \\quad +e-f\red{\\\\}
\red{&} =g+h
\\end\{split\}
\\end\{equation\}\end{Alltt}
\end{minipage}
\vspace*{-16.1ex}
\hspace*{0.5\textwidth}
\begin{minipage}{0.5\textwidth}
\rightline{\Fer{Eq}}
\vspace*{-4ex}
\begin{equation}
\begin{split}
a& =b+c-d\\[-3pt]
& \quad +e-f\\
& =g+h
\end{split}
\end{equation}
\end{minipage}
%%
\vspace*{2.9ex}
\begin{Alltt}\\begin\{\red{multline}\}
a+b+c+d+e+f\red{\\\\}
+i+j+k+l+m+n
\\end\{multline\}\end{Alltt}
\vspace*{-14.1ex}
\hspace*{0.5\textwidth}
\begin{minipage}{0.5\textwidth}
\begin{multline}
a+b+c+d+e+f\\
+i+j+k+l+m+n
\end{multline}
\end{minipage}
%\vspace*{1ex}
\begin{Alltt}\\begin\{\red{gather}\}
a_1=b_1+c_1\red{\\label\{}eq1\red{\}}\red{\\\\}
a_2=b_2+c_2-d_2+e_2
\\end\{gather\}\end{Alltt}
\vspace*{-14.1ex}
\hspace*{0.5\textwidth}
\begin{minipage}{0.5\textwidth}
\begin{gather}
a_1=b_1+c_1\label{eq1}\\
a_2=b_2+c_2-d_2+e_2
\end{gather}
\end{minipage}
\vspace*{.9ex}
\begin{Alltt}\\begin\{\red{align}\}
a_\{11\}\red{&} =b_\{11\}\red{&}
a_\{12\}\red{&} =b_\{12\}\red{\\\\}
a_\{21\}\red{&} =b_\{21\}\red{&}
a_\{22\}\red{&} =b_\{22\}+c_\{22\}
\\end\{align\}\end{Alltt}
\vspace*{-17.1ex}
\hspace*{0.5\textwidth}
\begin{minipage}{0.5\textwidth}
\begin{align}
a_{11}& =b_{11}& a_{12}& =b_{12}\\
a_{21}& =b_{21}& a_{22}& =b_{22}+c_{22}
\end{align}
\end{minipage}
\vspace*{3.9ex}
\begin{Alltt}\\begin\{\red{align*}\}
x\red{&} = y_1-y_2-\\cdots
\red{&&} \red{\\text\{}by Lemma\red{\}}\red{\\\\}
\red{&} = y'\\circ y^*
\red{&&} \red{\\text\{}by \red{\\eqref\{}eq1\red{\}\}}
\\end\{align*\}\end{Alltt}
\vspace*{-17.1ex}
\hspace*{0.5\textwidth}
\begin{minipage}{0.5\textwidth}
\begin{align*}
x& = y_1-y_2-\cdots
&& \text{\rm by Lemma}\\
& = y'\circ y^*
&& \text{\rm by \eqref{eq1}}
\end{align*}
\end{minipage}
\vspace*{2.9ex}
\begin{Alltt}\\begin\{\red{alignat*}\}\{\red{2}\}
x\red{&} = y_1-y_2-\\cdots
\red{&}\\qquad\red{&} \\text\{by Lemma\}\red{\\\\}
\red{&} = y'\\circ y^*
\red{&&} \\text\{by \\eqref\{eq1\}\}
\\end\{alignat*\}\end{Alltt}
\vspace*{-17.1ex}
\hspace*{0.5\textwidth}
\begin{minipage}{0.5\textwidth}
\begin{alignat*}{2}
x& = y_1-y_2-\cdots
&\qquad& \text{\rm by Lemma}\\
& = y'\circ y^*
&& \text{\rm by \eqref{eq1}}
\end{alignat*}
\end{minipage}
\vspace*{2.9ex}
\begin{Alltt}\\begin\{\red{flalign}\}
a_\{11\}\red{&} =b_\{11\}\red{&}
a_\{12\}\red{&} =b_\{12\}\red{\\\\}
a_\{21\}\red{&} =b_\{21\}\red{&}
a_\{22\}\red{&} =b_\{22\}+c_\{22\}
\\end\{flalign\}\end{Alltt}
\vspace*{-18ex}
\hspace*{0.5\textwidth}
\begin{minipage}{0.5\textwidth}
\begin{flalign}
a_{11}& =b_{11}& a_{12}& =b_{12}\\
a_{21}& =b_{21}& a_{22}& =b_{22}+c_{22}
\end{flalign}
\end{minipage}
}
%%%%%%%%% more equations %%%%%%%
\newpage%
\small{\name{H:tag}{}%
\begin{minipage}{0.5\textwidth}
\begin{Alltt}
\\begin\{\red{align}\}
x^2+y^2 &= z^2 \red{\\label\{}eqx\red{\}}\\\\
x^3+y^3 &= z^3 \red{\\notag}\\\\
x^4+y^4 &= z^4 \red{\\tag*\{}[4th]\red{\}}\\\\
x^5+y^5 &= z^5 \red{\\tag\{}\\ref\{eqx\}'\red{\}}
\\end\{align\}
\end{Alltt}
\end{minipage}
\vspace*{-15ex}
\hspace*{0.5\textwidth}
\begin{minipage}{0.5\textwidth}
\rightline{\Fer{Eq}}
\vspace*{-5ex}
\begin{align}
x^2+y^2 &= z^2 \label{eq:xy}\\
x^3+y^3 &= z^3 \notag\\
x^4+y^4 &= z^4 \tag*{[4th]}\\
x^5+y^5 &= z^5 \tag{\ref{eq:xy}'}
\end{align}
\end{minipage}
%\vspace*{-1ex}
\begin{Alltt}
\\begin\{\red{subequations}\}
\\begin\{align\}
x^6+y^6 &= z^6\\\\
x^7+y^7 &= z^7
\\end\{align\}
\\end\{subequations\}
\end{Alltt}
\vspace*{-16ex}
\hspace*{0.5\textwidth}
\begin{minipage}{0.5\textwidth}
\begin{subequations}
\begin{align}
x^6+y^6 &= z^6\\
x^7+y^7 &= z^7
\end{align}
\end{subequations}
\end{minipage}
\vspace*{5ex}
\begin{Alltt}
\\[\\begin\{\red{gathered}\}\red{[b]}
xy = c\\\\ x + y = b
\\end\{gathered\} \\qquad
\\begin\{\red{aligned}\}\red{[t]}
c &= x(b-x)\\\\ &= -x^2+bx
\\end\{aligned\} \\]
\end{Alltt}
\vspace*{-16ex}
\hspace*{0.5\textwidth}
\begin{minipage}{0.5\textwidth}
\begin{equation*}
\begin{gathered}[b]
x + y = b\\
xy = c
\end{gathered} \qquad
\begin{aligned}[t]
c &= x(b-x)\\
&= bx-x^2
\end{aligned}
\end{equation*}
\end{minipage}
\vspace*{3ex}
\begin{Alltt}
\\begin\{equation\}
\red{\\overset}\{*\}U=\red{\\underset}\{*\}X+\\overset\{a\}\{\\underset\{b\}Z\}
\\quad \red{\\xleftarrow[}\\xi\red{]\{}b\\to\\infty\red{\}} \\quad
\\sum\red{\\nolimits}' a_n = \red{\\sideset\{}_1^2\red{\}\{}_3^4\red{\}}\\prod_k b_k
+ \\sideset\{\}\{'\}\\sum
_\{\red{\\substack\{}0\\le m\\le n\red{\\\\}0\\le n\\le\\infty\red{\}}\}c_n^m
\\end\{equation\}
\end{Alltt}
\vspace*{-3.5ex}
\begin{equation}
\overset{*}U = \underset{*}X+\overset{a}{\underset{b}Z}
\quad \xrightarrow[\xi]{b\to\infty} \quad
\sum\nolimits' a_n = \sideset{_1^2}{_3^4}\prod_k b_k
+ \sideset{}{'}\sum
_{\substack{0\le m\le n\\0\le n\le\infty}}c_n^m
\end{equation}
\smallskip
\name{HMathOp}{}%
\keyin{\DeclareMathOperator*{\esssup}{ess\,sup}}
{\tt\BK DeclareMathOperator*\{\BK esssup\}\{ess\BK ,sup\}} \% Preamble
\keyin{\DeclareMathOperator{\Hom}{Hom}}
{\tt\BK DeclareMathOperator\{\BK Hom\}\{Hom\}} \% Preamble
\keyin{\newcommand{\abs}[1]{\lvert#1\rvert}}
{\tt\BK newcommand\{\BK abs\}[1]\{\BK lvert\#1\BK rvert\}}
\keyin{\newcommand{\norm}[1]{\lVert#1\rVert}}
{\tt\BK newcommand\{\BK norm\}[1]\{\BK lVert\#1\BK rVert\}}
\vspace*{-1ex}\rm
\begin{Alltt}
\\begin\{equation\}
\red{\\norm\{}f\red{\}}_\\infty = \red{\\esssup}_\{x\\in\\mathbb R^n\}\red{\\abs\{}f(x)\red{\}}
\\text\{ and \} \red{\\Hom}_R(A,B)^* = \red{\\Hom}_R(B^*,A^*)
\\end\{equation\}
\end{Alltt}
%%
\vspace*{-1ex}
\newcommand{\abs}[1]{\lvert#1\rvert}
\newcommand{\norm}[1]{\lVert#1\rVert}
\begin{equation}
\norm{f}_\infty = \esssup_{x\in\mathbb R^n}\abs{f(x)}
\text{ and } \Hom_R(A,B)^* = \Hom_R(B^*,A^*)
\end{equation}
%%%%%%%%%%% AMS LaTeX %%%%%%%%%%
\newpage
\rightline{\Fer{Mat}}
\vspace*{-6.8ex}\name{HCD}{}
\begin{Alltt}
\\[\\begin\{\red{CD}\}
A \red{@>\{}up\red{\}>\{}d\red{\}>} B \red{@>>>} C \red{\\\\}
\red{@V\{}l\red{\}V\{}r\red{\}V} \red{@.} \red{@AAA} \red{\\\\}
D \red{@=} D \red{@>>>} E
\\end\{CD\}\\]
\end{Alltt}
\vspace*{-16ex}
\hspace*{0.5\textwidth}
\begin{minipage}{0.5\textwidth}
\[\begin{CD}
A @>{up}>d> B @>>> C\\
@V{l}V{r}V @. @AAA \\ % @| @.
D @= D @>>> E
\end{CD}\]
\end{minipage}
\begin{Alltt}
\\begin\{align\}
u & \\equiv v+1 \red{\\pmod}\{n^2\} \\\\
u & \\equiv v+1 \red{\\mod}\{n^2\} \\\\
u & \\equiv v+1 \red{\\pod}\{n^2\}
\\end\{align\}
\end{Alltt}
\vspace*{-17.5ex}
\hspace*{0.5\textwidth}
\begin{minipage}{0.5\textwidth}
\begin{align}
u & \equiv v+1 \pmod{n^2} \\
u & \equiv v+1 \mod{n^2} \\
u & \equiv v+1 \pod{n^2}
\end{align}
\end{minipage}
\begin{Alltt}
\\begin\{equation\}
\red{\\cfrac} 1\red{\{}2+
\red{\\cfrac} 3\red{\{}4+
\red{\\cfrac[r]}5\red{\{}6+\\cdots
\red{\}\}\}}
\\end\{equation\}
\end{Alltt}
\vspace*{-17.5ex}
\hspace*{0.5\textwidth}
\begin{minipage}{0.5\textwidth}
\begin{equation}
\cfrac 1{2+
\cfrac 3{4+
\cfrac[r]5{6+\cdots
}}}
\end{equation}
\end{minipage}
\vspace*{1ex}
\begin{Alltt}
\\begin\{equation\}
\red{\\genfrac\{}[\red{\}\{}]\red{\}\{}1pt\red{\}\{\}\{}n-3\red{\}\{}m\red{\}}
\\end\{equation\}
\end{Alltt}
\vspace*{-10ex}
\hspace*{0.5\textwidth}
\begin{minipage}{0.5\textwidth}
\begin{equation}
\genfrac{[}{]}{1pt}{}{n-3}{m}
\end{equation}
\end{minipage}
\begin{Alltt}
\\[\\begin\{\red{vmatrix}\}
a & \red{\\cdots} & b & \red{\\cdots} & d \\\\
\red{\\vdots}&\red{\\ddots}&\red{\\vdots}&%
\red{\\ddots}&\red{\\vdots}\\\\
e & \red{\\cdots} & f & \red{\\cdots} & g \\\\
m & \red{\\hdotsfor\{}3\red{\}} & n
\\end\{vmatrix\}\\]
\end{Alltt}
\vspace*{-18ex}
\hspace*{0.55\textwidth}
\begin{minipage}{0.5\textwidth}
\[\begin{vmatrix}
a & \cdots & b & \cdots & d\\
\vdots&\ddots&\vdots&\ddots&\vdots\\
e & \cdots & f & \cdots & g\\
m & \hdotsfor{3} & n
\end{vmatrix}\]
\end{minipage}
\bigskip
\begin{Alltt}
\\[E_\{ij\}=\red{\\bordermatrix\{}
\red{&} \red{&}i\red{&} \red{\\cr}
\red{&&}\\vdots\red{&} \red{\\cr}
j \red{&}\\cdots\red{&}1\red{&}\\phantom\{\\cdots\} \red{\\cr}
\red{&} \red{&}\\phantom\{\\vdots\}\red{\}} \\]
\end{Alltt}
\vspace*{-18.5ex}
\hspace*{0.56\textwidth}
\begin{minipage}{0.5\textwidth}
\[E_{ij}=\bordermatrix{
& &i& \cr
&&\vdots& \cr
j &\cdots&1&\phantom{\cdots}\cr
& &\phantom{\vdots}
}\]
\end{minipage}
\begin{Alltt}
\\[ Y(x)= \\begin\{\red{cases}\}
1 \red{&}\\text\{if $x>0$,\}\red{\\\\}
-1 \red{&}\\text\{if $x<0$\}
\\end\{cases\} \\]
\end{Alltt}
\vspace*{-12ex}
\hspace*{0.54\textwidth}
\begin{minipage}{0.5\textwidth}
\[ Y(x)=\begin{cases}
1 &\text{if $x>0$,}\\
-1 &\text{if $x<0$}
\end{cases} \]
\end{minipage}
\vspace*{3ex}
\verb|$\sqrt{\mathstrut{a}}+\sqrt{\mathstrut{f}}$|\hfill
$\sqrt{\mathstrut{a}}+\sqrt{\mathstrut{f}}$
\smallskip
\verb|$\sqrt{a}+\sqrt{f}$|\hfill$\sqrt{a}+\sqrt{f}$
%%%%%%%%%%% tabular %%%%%%%%%%%%
\newpage\rightline{\Fer{Tab}}
\vspace*{-7.5ex}
\small{\name{Htab}{}%
\begin{Alltt}
\\begin\{\red{tabular}\}\red{\{}|c||l|r|\red{\}} \\hline
\red{\\multicolumn\{}3\red{\}}\red{\{}|c|\red{\}\{}Rooms\red{\}}\\\\ \\hline
\\multicolumn\{1\}\{|c||\}\{Floor\} & Name &
\\multicolumn\{1\}\{c|\}\{Area\}\\\\ \\hline\\hline
1 & kitchen & $42 m^2$\\\\ \\hline
& study & $57 m^2$\\\\ \red{\\cline\{}2-3\red{\}}
2 & living & $120 m^2$\\\\ \\hline
\\end\{tabular\}\end{Alltt}
\vspace*{-2ex}
\hspace*{50pt}
\begin{tabular}{|c||l|r|}
\hline
\multicolumn{3}{|c|}{Rooms}\\
\hline
\multicolumn{1}{|c||}{Floor} &
Name &
\multicolumn{1}{c|}{Area}\\
\hline\hline
1 & kitchen & $42 m^2$\\
\cline{2-3}
& study & $57 m^2$\\
\hline
2 & living & $120 m^2$\\
\hline
\end{tabular}
\vspace*{1ex}
\newcommand{\topsp}[1]{\vbox{\vbox to#1{}\vbox to1em{}}}
\newcommand{\tbsp}[2]{\rule{0pt}{#1}\rule[-#2]{0pt}{0pt}}
%%
\keyin{\newcommand{\topsp}[1]{\vbox{\vbox to#1{}\vbox to1em{}}}}%
{\texttt{\BK newcommand\{\BK topsp\}[1]\{\BK vbox\{\BK vbox~to\#1\{\}\BK~vbox~to1em\{\}\}\}}}\\
\keyin{\newcommand{\tbsp}[2]{\rule{0pt}{#1}\rule[-#2]{0pt}{0pt}}}
{\texttt{\BK newcommand\{\BK tbsp\}[2]\{\BK rule\{0pt\}\{\#1\}\BK rule[$-$\#2]\{0pt\}\{0pt\}\}}}
\vspace*{-3ex}
\begin{Alltt}
\\begin\{\red{tabular}\}\{|l\red{@\{}\\ \\vrule width 2pt\\ \red{\}}c|r|\}
\\hline\\topsp\{2mm\}%
1 & 2 & 3\\\\[2mm] \\hline
A & B & C\\tbsp\{8mm\}\{4mm\}\\\\ \\hline
a-1 & b-2 & c-3\\\\ \\hline
\\end\{tabular\}\end{Alltt}
\vspace*{-16ex}
\hspace*{0.7\textwidth}
\begin{minipage}{0.5\textwidth}
\begin{tabular}{|l@{\ \vrule width 2pt\ }c|r|}
\hline\topsp{1mm}%
1 & 2 & 3\\[1mm] \hline
A & B & C\tbsp{8mm}{4mm}\\ \hline
a-1 & b-2 & c-3\\ \hline
\end{tabular}\end{minipage}
\keyin{\tabcolsep=%6pt}{{\BK\tt tabcolsep=}}{\tt 10mm}
\vspace*{-2ex}
\begin{Alltt}
\\begin\{\red{tabular}\}\{|l|\red{p\{}40mm\red{\}}|\} \\hline
tabular & This is used for text. \\\\ \\hline
array & This is mainly used for equations.\\\\ \\hline
\\end\{tabular\}
\end{Alltt}
\vspace*{-1.8ex}
\hspace*{50pt}
{\tabcolsep=10mm
\begin{tabular}{|l|p{40mm}|}\hline
tabular & This is used for text.\\ \hline
array & This is mainly used for equations.\\ \hline
\end{tabular}}
\vspace*{-1ex}
\begin{Alltt}\\begin\{\red{tabular}\}\{r\red{@\{}.\red{\}}l\}
3 & 14259\\\\
$-$\\ 2 & 71828\\\\ \\hline
0 & 42431
\\end\{tabular\}\end{Alltt}
\vspace*{-12.8ex}
\hspace*{0.7\textwidth}
\begin{minipage}{0.5\textwidth}
\begin{tabular}{r@{.}l}
3 & 14259\\
$-$\ 2 & 71828\\
\hline
0 & 42431
\end{tabular}
\end{minipage}
%\smallskip
\begin{Alltt}
\\begin\{\red{tabular*}\}\{0.5\\textwidth\}%
\{\red{@\{\\extracolsep\{\\fill\}\}}|l|c|r|\}\\hline
1234 & A & B\\\\ \\hline
\\end\{tabular*\}
\end{Alltt}
\vspace*{-7ex}
\hspace*{0.48\textwidth}
\begin{tabular*}{0.5\textwidth}{@{\extracolsep{\fill}}|l|c|r|}\hline
1234 & A & B\\ \hline
\end{tabular*}
}
%%%%%%% array, tabbing %%%%%
\newpage
\name{tabbing}{}{\rightline{\Fer{Tab}}
\vspace*{-5.5ex}
\begin{Alltt}
\\begin\{\red{tabbing}\}
aaa \red{\\=} \\hspace\{10mm\} \red{\\=} cccc\red{\\kill}
aa \red{\\>} bb \red{\\>} cc\red{\\\\}
aaa \red{\\>} bbb \red{\\>} c
\\end\{tabbing\}
\end{Alltt}
\vspace*{-10ex}
\hspace*{0.65\textwidth}
\begin{minipage}{0.5\textwidth}
\begin{tabbing}
aaa \= \hspace{10mm} \= cccc\kill
aa \> bb \> cc\\
aaa \> bbb \> c
\end{tabbing}
\end{minipage}
\smallskip
\begin{Alltt}
\\begin\{\red{tabbing}\}
AA\red{\\=}BB\red{\\=}CC\red{\\=}DD\red{\\=}EE \red{\\kill}
a\red{\\>} b\red{\\>} c\red{\\>} d\red{\\>} e\red{\\+\\+\\+ \\\\}
a\red{\\>} b \red{\\\\}
\red{\\<\\<} a\red{\\>} b \red{\\\\}
a\red{\\>} b \red{\\`}g\red{\\- \\\\}
a\red{\\>} b \red{\\`}ggg \red{\\\\}
a\red{\\>} b\red{\\>} y\red{\\'} c \red{\\\\}
\red{\\pushtabs}
A\red{\\=}A\red{\\=}A\red{\\=\\kill \\\\ \\\\}
1\red{\\>}2\red{\\>}3\red{\\\\}
4\red{\\>}5\red{\\>}6\red{\\\\ \\\\}
\red{\\poptabs}
\red{\\a=}\{O\}\red{\\>} \red{\\a'}\{a\}\red{\\>} \red{\\a`}\{e\}\red{\\\\}
\\end\{tabbing\}
\end{Alltt}
\vspace*{-37.2ex}
\hspace*{0.58\textwidth}
\begin{minipage}{0.4\textwidth}
\begin{tabbing}
AA \=BB \=CC \=DD\= EE\kill
a \> b \> c\> d \> e \+\+\+\\
a \> b \\
\<\< a \> b \\
a \> b \`g \-\\
a \> b \` ggg \\
a \> b \> y\' c \\
\pushtabs
A\=A\=A\=\kill\\ \\
1\>2\>3\\
4\>5\>6\\ \\
\poptabs
\a={O} \> \a'{a} \> \a`{e} \\
\end{tabbing}
\end{minipage}
\medskip
\name{array}{}%
\keyin{\usepackage{array}}{{\tt\BK usepackage\{array\}}}
\vspace*{-3ex}
\begin{Alltt}
\\begin\{\red{tabular}\}\{\red{!\{}\\vrule width 2pt\red{\}>\{}\\bfseries\red{\}}c\red{!}|%
\red{>\{}$\red{\}}c\red{<\{}$\red{\}}|\red{>\{}\\setlength\{\\parindent\}\{5mm\}\red{\}m\{}2cm\red{\}}%
\red{!\{}\\vrule width 2pt\red{\}}\}
\red{\\noalign\{}\\hrule height 2pt\red{\}}
Differential & (x^3)' = 3x^2
& Study in this week.\\par Review!\\\\ \\hline
Integral & \\int x^2\\,dx = \\frac23x^3 + C
& Study in this month. \\\\
\red{\\noalign\{}\\hrule height 2pt\red{\}}
\\end\{tabular\}
\end{Alltt}
\hspace*{0.1\textwidth}
\begin{tabular}{!{\vrule width 2pt}>{\bfseries}c|%
>{$}c<{$}|>{\setlength{\parindent}{5mm}}m{2cm}%
!{\vrule width 2pt}}
\noalign{\hrule height 2pt}
Differential & (x^3)'=3x^2 & Study in this week.\par Review!\\ \hline
Integral & \int x^2\,dx=\frac23x^3+C &Study in this month.\\
\noalign{\hrule height 2pt}
\end{tabular}
%%%%%%%%% longtable %%%%%%%%%%%
\newpage
\quad\hfill{\textcolor{green}{\tt longtable \ dcolumn multirow}}\hfill\name{Hlt}{\Fer{Tab}}
\keyin{\usepackage{longtable}}{{\tt\BK usepackage\{longtable\}}}
\medskip
{\color{magenta}\verb|%\setlongtable|}\\
\keyin{%\setlongtable
\begin{longtable}[]{} % [clr] <- option
%%\setlength{\LTleft}{} % \fill
%%\setlength{\LTright}{} % \fill
%%\setlength{\LTpre}{} % \bigskipamount
%%\setlength{\LTpost}{} % \bigskipamount
%%\setlength{\LTcapwidth}{} % 4in
%\caption{} % \caption*{title} \caption[]{}
%\\ \hline
%%%
%%\multicolumn{}{}{} \\ \hline
%% & & \\ \hline
%%\endfirsthead % first page
%%%
%\hline
%\multicolumn{}{}{} \\ \hline
% & & \\ \hline
%\endhead % each page
%%%
%%\hline
%%\multicolumn{}{}{} \\ \hline
%%\endfoot % each page
%%%
%%\hline
%%\multicolumn{}{}{} \\ \hline
%%\endlastfoot % last page
% & & \kill
& & \\
& & \\
%\newpage
& & \\
\end{longtable}
}{\tt\BK begin\{longtable\}}\Ops{pos}\opt{cols} \,\% \MGNT{pos}:\MGNT{c l r}
\vspace*{-3ex}
{\color{magenta}%
\begin{Alltt}
%%\\setlength\{\\LTleft\}\{\} % \\fill
%%\\setlength\{\\LTright\}\{\} % \\fill
%%\\setlength\{\\LTpre\}\{\} % \\bigskipamount
%%\\setlength\{\\LTpost\}\{\} % \\bigskipamount
%%\\setlength\{\\LTcapwidth\}\{\} % 4in
%\\caption\{\} % \\caption*\{title\}
%\\\\ \\hline % \\caption[short title]\{long title\}
%%%
%%\\multicolumn\{\}\{\}\{\} \\\\ \\hline
%% & & \\\\ \\hline
%%\\endfirsthead % first page
%%%
%\\hline
%\\multicolumn\{\}\{\}\{\} \\\\ \\hline
% & & \\\\ \\hline
%\\endhead % each page
%%%
%%\\hline
%%\\multicolumn\{\}\{\}\{\} \\\\ \\hline
%%\\endfoot % each page
%%%
%%\\hline
%%\\multicolumn\{\}\{\}\{\} \\\\ \\hline
%%\\endlastfoot % last page
% & & \\kill
\end{Alltt}}
\vspace*{-3ex}
\verb| & & \\|\\
\verb| & & \\|\\
{\color{magenta}\verb|%\newpage|}\\
\verb| & & \\|\\
\verb|\end{longtable}|\\
\keyin{\usepackage{dcolumn}}{\BK usepackage\{dcolumn\}}
\ \RED{decimal places}=-1:\ no limit
\qquad
\keyin{D{}{}{}}{D\opt{inputsep}\opt{outputsep}\opt{decimal places}}
\medskip
\keyin{\usepackage{multirow}}{\BK usepackage\{multirow\}}
\qquad
\keyin{\multirow{}{}{}}{\BK multirow\opt{nrow}\Ops{njot}\opt{width}\Ops{vmove$\uparrow$}\opt{text}}
%%%%%%% counter %%%%%
\newpage
\rightline{\name{HCt}{\Fer{count}}}
\vspace*{-1ex}
\def\Kyd#1{\keyin{ 5crenewcommand{ 5c#1}{}}{\tt\BK #1}}%
\def\Ct#1{\keyin{ 5csetcounter{#1}{}}{#1}&\Kyd{the#1}}
\def\Cta#1{\Ct{#1}&\keyin{ 5carabic{}}{\tt\BK arabic}\\ \hline}
\def\Ctr#1{\Ct{#1}&\keyin{ 5cRoman{}}{\tt\BK Roman}\\ \hline}
\small{
\centerline{\begin{tabular}{|l|l|l|}\hline
\multicolumn{1}{|c|}{Counter} & \multicolumn{1}{c|}{Value} &
\multicolumn{1}{c|}{Type} \\ \hline
\Ctr{part}
\Cta{chapter}
\Cta{section}
\Cta{subsection}
\Cta{subsubsection}
\Cta{paragraph}
\Cta{subparagraph}
\Cta{equation}
\Cta{figure}
\Cta{table}
\Cta{page}
\Cta{footnote}
\Cta{mpfootnote}
\Cta{enumi}
\Ct{enumii} & \keyin{ 5calph{}}{\tt\BK alph} \\ \hline
\Ct{enumiii} & \keyin{ 5croman{}}{\tt\BK roman} \\ \hline
\Ct{enumiv} & \keyin{ 5cAlph{}}{\tt\BK Alph} \\ \hline
\end{tabular}}
\vspace*{4ex}
\rightline{\name{HCp}{\Fer{Chap}}}
\vspace*{-2ex}
%%%
\centerline{\begin{tabular}{|l|l|}\hline
\multicolumn{1}{|c|}{Name} & \multicolumn{1}{c|}{Definition}\\ \hline
\Kyd{partname} & Part\\ \hline
\Kyd{prepartname} &
\raisebox{-3pt}{\includegraphics[width=1em, bb=0 0 82 84]{dai.bmc}}%
\\ \hline
\Kyd{postpartname} &
\raisebox{-3pt}{\includegraphics[width=1em, bb=0 0 82 80]{bu.bmc}}%
\\ \hline
\Kyd{chaptername} & Chapter\\ \hline
\Kyd{prechaptername} &
\raisebox{-3pt}{\includegraphics[width=1em, bb=0 0 82 84]{dai.bmc}}%
\\ \hline
\Kyd{postchaptername} &
\raisebox{-3pt}{\includegraphics[width=0.97em, bb=0 0 79 84]{shou.bmc}}%
\\ \hline
\Kyd{abstractname} & Abstract\\ \hline
\Kyd{appendixname} & Appendix\\ \hline
\Kyd{contentsname} & Contents\\ \hline
\Kyd{figurename} & Figure\\ \hline
\Kyd{tablename} & Table\\ \hline
\Kyd{listfigurename} & List of Figures\\ \hline
\Kyd{listtablename} & List of Tables\\ \hline
\Kyd{refname} & References\\ \hline
\Kyd{bibname} & Bibliography\\ \hline
\Kyd{indexname} & Index\\ \hline
\Kyd{seename} & see\\ \hline
\end{tabular}}
}
%%%%%%% bar %%%%%%%%
\newpage
\rightline{\Goto{top}{Top}}
\vspace*{-2ex}
\centerline{\name{bar}{\textcolor{green}{bar}}}
\keyin{\usepackage{bar}}{\BK usepackage\{bar\}}
\keyin{\begin{barenv}
%\setwidth{} % width of a bar by point
%%\setstyle{} % font
%\setxaxis[]{}{}{}% [offset]{origin}{end}{step}
%\setxname{} % text
%%\setstyle{} % font
%\setyaxis[]{}{}{}% [offset]{origin}{end}{step}
%\setyname{} % text
%\setstretch{}
%\setlinestyle{} % dotted or solid
%\hlineon % horizontal line
%\setdepth{10} % 3 dimensional >= 10
%\sethspace{0} % space between bar 0 - 1
%\setnumberpos{} % axis, down, up, inside, outside, up
\bar{}{}[] % {height}{idx}[text]
\bar{}{}
\end{barenv}
%\legend {}
}{\texttt{\BK begin\{barenv\}}}\\
{\color{magenta}%
\verb| \setwidth{32} %| \RED{width} of a bar by point\\
\verb| \setstyle{\small\bfseries} %| font\\
\verb| \setxaxis{1998}{2005}{1}|\\
\verb| \setxname{year}|\\
\verb| \setstyle{\small\rmfamily}|\\
\verb| \setyaxis[10]{0}{63}{10} %| \Ops{offset}\opt{origin}\opt{end}\opt{step}\\
\verb| \setyname{total \%}|\\
\verb|%\setprecision|\opt{digits}\\
\verb| \setstretch{1.5} %| vertical stretch\\
\verb| \setlinestyle{dotted} %| \red{\tt solid} or \red{\tt dotted}\\
\verb| \hlineon %| horizontal line\\
\verb| \setdepth{10} %| 3 dimensional $\ge$10\\
\verb|%\sethspace|\opt{val}\ \verb| %| \RED{val}:0$\sim$1\\
\verb| \setnumberpos{down}|\\
\verb| % |\red{\tt empty},
\red{\tt axis}, \red{\tt down}, \red{\tt inside}, \red{\tt outside},
\red{\tt up}}\\
\verb| \bar{22}{1} \bar{32.5}{2} % \bar|\opt{height}\opt{idx}\Ops{text}\\
\verb| \bar{42}{3} \bar{51.2}{4} % |\RED{idx}:0$\sim$8\\
\verb| \bar{46.4}{5} \bar{55.6}{8}|\\
\verb| \bar{40.4}{7} \bar{34.5}{6}|\\
\verb|\end{barenv}|\\
\verb| |\\
{\color{magenta}%
\verb|\centerline{\legend8{2003(max)} % \legend|\RED{idx}\opt{text}}\\
\if0
\begin{Alltt}
\\begin\{barenv\}
\\setstretch\{1.5\}
\\setwidth\{32\}
\\setstyle\{\\small\\rmfamily\\bfseries\}
\\setxaxis\{1998\}\{2005\}\{1\}\\setxname\{\\textrm\{year\}\}
\\setstyle{\\small\\rmfamily\}
\\setyaxis[10]{0}{63}{10}\\setyname\{\\textrm\{total \%\}\}
\\setlinestyle\{dotted\}
\\hlineon
\\setdepth\{15\}
% \\sethspace\{0\}
\\setnumberpos\{down\}
\\bar\{22\}\{1\} \\bar\{32.5\}\{2\}
\\bar\{42\}\{3\} \\bar\{51.2\}\{4\}
\\bar\{46.4\}\{5\} \\bar\{55.6\}\{8\}
\\bar\{40.4\}\{7\} \\bar\{34.5\}\{6\}
\\end\{barenv\}
\end{Alltt}
\fi
\centerline{\begin{barenv}
\setstretch{1.5}
\setwidth{32}
\setstyle{\small\rmfamily\bfseries}
\setxaxis{1998}{2005}{1}\setxname{\textrm{year}}
\setstyle{\small\rmfamily}
\setyaxis[10]{0}{63}{10}\setyname{\textrm{total \%}}
\setlinestyle{dotted}
\hlineon
\setdepth{15}
% \sethspace{0}
\setnumberpos{down}
\bar{22}{1} \bar{32.5}{2}
\bar{42}{3} \bar{51.2}{4}
\bar{46.4}{5} \bar{55.6}{8}
\bar{40.4}{7} \bar{34.5}{6}
\end{barenv}}
\vspace*{4ex}
\centerline{\rule{20pt}{10pt}\ \rm2003(max)}
%%%%%%% help %%%%%%%%
\newpage
\hspace*{2em}\hfill\name{Help}{Help in this note}\hfill\Goto{top}{Top}
\rm
%%%
{\sf L-Click}:\\
\hspace{.8cm} Clik the left button on the mouse at the hot spot.
{\sf L-Click} at \colorbox{green}{\tiny\sf green box} or \colorbox{cyan}{\tiny\sf cyan box} :\\
\hspace{.8cm} HyperJump to the corresponding spot.
{\sf L-Click} at \textcolor{blue}{\sf blue letters}:\\
\hspace{.8cm} Copy {\sf\color{red} command string} to
Clipboard.
{\sf L-Click} with [{\sf ALT}] at \textcolor{blue}{\sf blue letters}:\\
\hspace{.8cm} Append {\sf\color{red} command string} to
Clipboard.
{\sf L-Click} with [{\sf CTRL}] at \textcolor{blue}{\sf blue letters}:\\
\hspace{.8cm} Copy {\sf\color{red} command string} to Clipboard and
an Editor.
{\sf L-Click} with [{\sf CTRL}]+[{\sf ALT}] at \textcolor{blue}{\sf blue letters}:
\\
\hspace{.8cm} Copy {\sf\color{red} command string} to Clipboard and
a new Editor.
{\sf R-Click}:\\
\hspace{.8cm} Click the right button on the mouse to enlarge the area.
In the above {\sf L-Click} at \textcolor{blue}{\sf blue letters}, the functions
with/without [{\sf CTRL}] are inverted if {\sf Option $\to$ Clipboard+Editor}
is checked.
\begin{tabbing}{ll}
\string[{\sf PgDn}] o [{\sf N}]:\=Go to the Next page.\kill
\string[{\sf PgDn}] or [{\sf N}]:\>Go to the Next page.\\
\string[{\sf PgUp}] or [{\sf P}]:\>Go to the Previous page.\\
\string[{\sf CTRL}]+[{\sf T}]:\>Go to the Top page.\\
\string[{\sf CTRL}]+[{\sf B}]:\>Go to the Bottom page.\\
\string[{\sf ALT}]+[{\sf X}]:\>Terminate Help TeX.
\end{tabbing}
\bigskip
\centerline{\sf Character Codes}
\medskip
\tt
\quad\ \
0 1 2 3 4 5 6 7 8 9 a b c d e f
20\quad
\keyin{ }{\textvisiblespace}
\E{!}\!\!\!
\E{"}
\keyin{#}{\#}
\keyin{$}{\$}
\keyin{%}{\%}
\keyin{$}{\$}
\E{'}
\E{(}
\E{)}
\E{*}
\E{+}
\E{,}
\E{-}
\E{.}\!\!\!
\E{/}
\quad
09 \keyin{ 09}{TAB}
30\quad
\E{0}
\E{1}
\E{2}
\E{3}
\E{4}
\E{5}
\E{6}
\E{7}
\E{8}
\E{9}
\E{:}\!\!\!
\E{;}
\E{<}
\E{=}
\E{>}
\E{?}
\
0d \keyin{ 0d}{CR}
40\quad
\keyin{@}{@}
\E{A}
\E{B}
\E{C}
\E{D}
\E{E}
\E{F}
\E{G}
\E{H}
\E{I}
\E{J}
\E{K}
\E{L}
\E{M}
\E{N}
\E{O}
\quad
0a \keyin{ 0a}{LF}
50\quad
\E{P}
\E{Q}
\E{R}
\E{S}
\E{T}
\E{U}
\E{V}
\E{W}
\E{X}
\E{Y}
\E{Z}
\E{[}
\keyin{\}{$\backslash$}
\E{]}
\keyin{^}{$\,\,\hat{}\,$}
\keyin{_}{\_}
60\quad
\E{`}
\E{a}
\E{b}
\E{c}
\E{d}
\E{e}
\E{f}
\E{g}
\E{h}
\E{i}
\E{j}
\E{k}
\E{l}
\E{m}
\E{n}
\E{o}
70\quad
\E{p}
\E{q}
\E{r}
\E{s}
\E{t}
\E{u}
\E{v}
\E{w}
\E{x}
\E{y}
\E{z}
\keyin{ 7b}{$\{$}
\keyin{ 7c}{$|$}
\keyin{ 7d}{$\}$}
\keyin{ 7e}{$\sim$}
\end{document}