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1 Karel Svadlenka L A TEX L A TEX TEX 6 1 PandA TEX 1

2 TEX tex.html 1.2 ISBN ISBN Kobayashi-Nomizu Strunk and White, The Elemtents of Style, Allyn and Bacon, ISBN X L A TEX L A TEX 2ε ISBN L A TEX Windows, Mac OSX L A TEX DVD TEX tex.pdf L A TEX Tohoku Math. Journal 2 Introduction Abstract: Introduction Preliminaries : References 3 L A TEX TEX 2

3 レフェリー編集者著者植字技術者 referee 4. referee Journal TEX Don Donald Ervin Knuth The Art of Computer Programming TEX TEX L A TEX pl A TEX TEX TEX TEX Leslie Lamport TEX L A TEX TEX L A TEX pl A TEX TEX TEX L A TEX TEX TEX 3

4 Word HTML Web TEX/L A TEX MathML Web Web 4 L A TEX \ (Y) L A TEX L A TEX L A TEX \ TEX TEX 4

5 L A TEX $ $f_0 := x^2 + y^2$. f 0 := x 2 + y 2 ^ _ $$ \[ \] $$\Gamma = \frac{\alpha + \beta}{\sqrt{\gamma}}$$. Γ = α + β γ. sin, cos, tan $\exp(i \theta) = \cos \theta + i \sin \theta$. exp(iθ) = cos θ + i sin θ. 5

6 \sin $sin x$ sinx $\lim_{n \to \infty} x_n$ $$\lim_{n \to \infty} x_n - \sum_{n = 0}^{\infty} s_n = \int_{0}^{1} g(t) dt.$$ lim n x n lim x n n s n = n=0 1 0 g(t)dt. $$... $$ $\displaystyle...$ \left \right $$A=\left\{x \left \left[\left(x-\frac12\right)^2 +1\right]^2 < 4 \right. \right\}$$ [ ( A = x x 1 ) ] < 4 2 { } \{ \} \left \right. \\ \par \noindent \\.\par. 6

7 amssymb L A TEX \usepackage{amssymb} $H^2(M) = \mathbb{z} \oplus \mathbb{z}_2$. H 2 (M) = Z Z 2. amsmath amsmath \usepackage{amsmath} $\begin{pmatrix} 1 & 3 \\ 2 & 4 \end{pmatrix}$, $\begin{bmatrix} 1 & 3 \\ 2 & 4 \end{bmatrix}$, $\begin{vmatrix} 1 & 3 \\ 2 & 4 \end{vmatrix}$. ( ) [ ] ,, L A TEX \usepackage{amssymb} \title{$\mathbb{z}$} \author{ } \maketitle 7

8 DBZ \date{ } \newcommand \usepackage{amssymb} \newcommand{\r}{\mathbb{r}} \newcommand{\myfrac}[1]{\frac{1}{a+{#1}}} $f:\r^2 \to \R$ $f(x,y)=x+\myfrac{y}$ f : R 2 R f(x, y) = x + 1 a+y { } { } { } { } {,} {.} 8

5 L A TEX 5.1 L A TEX PostScript ファイル hoge.ps LaTeX ソース hoge.

dvi dvips dvipdfm ps2pdf 注意 : この図式は非可換 pdflatex PDF ファイル hoge.

tex platex hoge.tex dvipdfmx hoge.dvi atril hoge.pdf (LaTeX ) (hoge.tex hoge.dvi ) (hoge.

141592-p3.1.10 (utf8) (Web2C 7.5.4) (./240.

9 5 L A TEX 5.1 L A TEX PostScript ファイル hoge.ps LaTeX ソース hoge.tex latex dvi ファイル hoge.dvi dvips dvipdfm ps2pdf 注意 : この図式は非可換 pdflatex PDF ファイル hoge.pdf L A TEX dvi TEX PostScript PDF / L A TEX L A TEX UNIX emacs hoge.tex platex hoge.tex dvipdfmx hoge.dvi atril hoge.pdf (LaTeX ) (hoge.tex hoge.dvi ) (hoge.dvi hoge.pdf ) (hoge.pdf ) emacs platex latex pdflatex 5.2 This is ptex, Version p (utf8) (Web2C 7.5.4) (./240.tex platex2e <2006/01/04>+0 (based on LaTeX2e <2005/12/01> patch level 0) (/usr/local/tetex/share/texmf/ptex/platex/jsclasses/jsarticle.cls Document Class: jsarticle 2006/11/01 okumura )! Undefined control sequence. <recently read> \begn 9

10 l.2 \begn {document}! LaTeX Error: Missing. 2 \begn { } \begin{hoge} \end{hoge} $! Missing $ inserted...? \left \right $f_a_c$ f ac $f_{a_c}$ L A TEX % % % % ISO-2022-JP EUC-JP UNIX Shift JIS Windows/Macintosh 10

11 UTF-8 Unicode Linux pl A TEX platex -kanji={utf8, euc, sjis, jis} utf8, euc, sjis, jis utf8 nkf nkf nkf --guess hoge.tex UNIX nkf nkf -e hoge.tex > hoge_euc.tex hoge.tex EUC-JP hoge_euc.tex 6 Linux emacs, vi latex, platex L A TEX / tex, ptex plain TEX / pdflatex PDF latex luatex TEX / dvips dvi PostScript dvipdfmx dvi PDF atril PDF Linux 11

12 TeXworks platex2pdf-nkf dvi pdf EasyTeX TeXworks TEX / L A TEX TEX TEX Wiki TEX / L A TEX Internet tex.html Internet CD L A TEX 2ε DVD 12

13 Karel Svadlenka amsart,... L A TEX \documentclass{} article jarticle article jsarticle article book jbook book jsbook book amsart AMS 1

14 .cls L A TEX article 1.2 chapter, section, subsection,... abstract introduction sections subsections \maketitle \begin{abstract}\end{abstract} section 1 \section{} \subsection{ } 1.3 LaTeX \section{ }\label{firstsec} \section{}\label{secondsec} \ref{firstsec}

15 1.4 amsmath amsthm \usepackage{amsthm} \newtheorem{dfn}{} \newtheorem{thm}{} \begin{dfn} \end{dfn} \begin{thm} \end{thm} \newtheorem{ }{ } \begin{ }...\end{ } \newtheorem{thm}{} \newtheorem{dfn}[thm]{} \newtheorem{lem}[thm]{} \label{} \ref{} \newtheorem{thm}{} \newtheorem{lem}[thm]{} \begin{lem} \label{poincare} 3

16 \end{lem} \begin{thm} \label{euler} \end{thm} \ref{poincare} \ref{euler} ?? \label{} \ref{} \eqref{} proof \begin{thm} \end{thm} \begin{proof} \end{proof} 1. Proof. 2 4

17 bibliography thebibliography \cite{} Caffarelli \cite{caf81} \begin{thebibliography}{99} \bibitem{caf81} L.A. Caffarelli, H.W. Alt, {\it Existence and regularity for a minimum problem with free boundary}, Journal f\"ur die reine und angewandte Mathematik {\bf 325} (1981), pp \end{thebibliography} \begin{thebibliography}{99} BiBTEX bib TEX title = "Existence and regularity for a minimum problem with free boundary", author = "L.A. Caffarelli and H.W. Alt", journal = "Journal fur die reine und angewandte Mathematik", issue = 325, pages = " ", year = 1981,} bunken.bib TEX \bibliographystyle{jplain} \bibliography{bunken} \cite{caf81} platex > jbibtex > platex > platex 5

18 3 $$ \begin{equation} \end{equation} \label{} \eqref{} \begin{equation} \label{myeq1} \sum_{n=1}ˆ\infty \frac{1}{nˆ2} = \frac{\piˆ2}{6} \end{equation} \eqref{myeq1} (1) n=1 1 n = π2 2 6 (1) 2 multline, gather, align \label{} \eqref{} * \begin{equation*} \nonumber \begin{equation*} aˆ2+bˆ2=cˆ2 \end{equation*} a 2 + b 2 = c 2 (3.2) \numberwithin{equation}{section} : align \usepackage{amsmath} \\, & \begin{align} xˆ3+yˆ3 &= (x+y)(xˆ2-xy+yˆ2) \\ &= (x+y) \left( (x+y)ˆ2-3xy \right) \end{align} x 3 + y 3 = (x + y)(x 2 xy + y 2 ) (2) = (x + y) ( (x + y) 2 3xy ) (3) & 6

19 : split align equation split \\, & $$H(x) = \left\{ \begin{split} &0 &\quad &(x<0) \\ &1 &\quad & (0 \le x) \end{split} \right. $$ H(x) = { 0 (x < 0) 1 (0 x) $$\begin{array}... \end{array} gather multline \begin{gather} a_0 = 1, \ a_1=1 \nonumber\\ a_{n+1}=a_n + a_{n-1} \end{gather} \begin{multline} a+b+c+d+e+f+g+h+i+j\\ +k+l+m+n+o+p+q+r+\dots+x+y+z \end{multline} a 0 = 1, a 1 = 1 a n+1 = a n + a n 1 (4) a + b + c + d + e + f + g + h + i + j + k + l + m + n + o + p + q + r + + x + y + z (5) 4 amscd: $$ \begin{cd} \\ D \end{cd} $$ 7

20 A B C D 3 amscd: $$ \begin{cd} @VV{\psi}V \\ F \end{cd} $$ A ϕ C f B C g ψ E h F xypic: xypic \usepackage[all]{xy} $$ \xymatrix{ A \ar[rr] & & B \ar[dl] \\ & C \ar[ul] & } $$ A B C 8

21 xypic xymatrix pmatrix & \\ \ar[ul] [] u d l r \ar[r]ˆf \ar[r]_f \ar[r] f \ar@{=>}\ar $$\xymatrix{ A \ar@{=>}[rr] f & & B \ar@{.>}[d]ˆg \\ C \ar@{=}[r] & D \ar[ul] \ar@{ >}[ur] & E \ar[l] \\ F \ar[u] \ar[r] \ar@{}[ur] {\circlearrowleft} & G \ar[u] }$$ A f B C D E g F G $$\xymatrix{ A \ar@(ur,ul)[rr]ˆf \ar[r] & B \ar[r] & C \ar@(dl,dr)[l]ˆg }$$ A f B C g \ar@(, ) 9

$ul u ur l r dl d dr 5 graphicx L A TEX graphicx \usepackage{graphicx} don \includegraphics{knuth.$

22 ul u ur l r dl d dr 5 graphicx L A TEX graphicx \usepackage{graphicx} don \includegraphics{knuth.eps} don Encapsulated PostScript L A TEX Encapsulated PostScript (EPS) UNIX convert hoge.gif hoge.eps hoge.gif hoge.eps Linux tgif xfig figure figure L A TEX \begin{figure}\end{figure} figure 10

23 figure L A TEX \begin{figure}[htb] [] h t b p \caption{} \label{} \ref{} figure \begin{figure}[tbh] \centering \includegraphics{knuth.eps} \caption{don. Knuth} \label{don} \end{figure} 図 1 Don. Knuth jpg, png pdf Bounding box bounding box \includegraphics[height=6cm, bb= ]{fig.jpg} \includegraphics[scale=0.5, bb= ]{fig.jpg} bb extractbb fig.png 6 11

24 Web form arxiv Open access 7 OHP PC Keynote/PowerPoint PDF 12

25 OHP OHP VGA/HDMI USB beamer L A TEX

26 Beamer LaTeX PDF Adobe Acrobat Beamer \documentclass{beamer} % beamer \usetheme{warsaw} % \title[short title]{full title of the Presentation} \author[short Name]{Full name of the author} \institute[short Inst]{Name of University} \date{ } \begin{frame} \maketitle \end{frame} Beamer (frame) \begin{frame} \end{frame} \frametitle{} \begin{frame} \frametitle{ } 1 \pause 2 \end{frame} \pause Beamer () (enumerate ) \pause \begin{enumerate} \item enumerate \pause \item \pause \item item \end{enumerate} 1. enumerate item (enumerate, itemize, description) (beamer )LaTeX Beamer (block) (block) \begin{block}{} 14

27 \end{block} \pause \begin{block}{} \end{block} 8 Adobe Illustrator Keynote L A TEX PDF Illustrator L A TEX a0poster L A TEX a0poster \documentclass[portrait,a0]{a0poster} \usepackage{multicol} \begin{multicols}{3} \end{multicols} multicol 3 A0 PDF hoge.tex A0 PDF platex hoge.tex dvips -o hoge.ps hoge.dvi ps2pdf -spapersize=a0 -r600x600 hoge.ps hoge.pdf A0 A4 15

28 A0 PDF USB 9 L A TEX PDF () PDF NNNNNNN.pdf NNNNNNN PandA PandA > PandA > > ECS-ID PandA > KULASIS

数学論文の書き方 - 第１回：入門編

数学論文の書き方 - 第１回：入門編 LAT E X 2007 6 19 LAT E X 1 2 L A T E X 3 4 L A T E X 5 LAT E X 1 2 L A T E X 3 4 L A T E X 5 LAT E X 1 2 L A T E X 3 4 L A T E X 5 LAT E X 1 2 L A T E X 3 4 L A T E X 5 LAT E X 1 2 L A T E X 3 4 L A T