DVI OS EasyTEX TEX LabEditor WinShell TEX.tex TEX TEX TEX.dvi DVI MaC DVI PDF Windows DVI PDF DVI TEX PDF 2

TEX 2011 1 1.1 TEX TEX Donald Knuth typesetting 1 TEX TEX TEX TEX TEX TEX 1.2 TEX Microsoft Word TEX TEX Dviout Acrobat Reader TEX TEX Cf. LATEX2e 2 2000 LATEX 2000 platex2e for Windows: Another Manual, Vol. 1, 2, 1997 1

DVI OS EasyTEX TEX LabEditor WinShell TEX.tex TEX TEX TEX.dvi DVI MaC DVI PDF Windows DVI PDF DVI TEX PDF 2

TEX Word TEX TEX 1.3 TEX 0.000005mm OS TEX 2 2.1 TEX EasyTEX *1 EasyTEX.tex *1 EasyTEX TEX Web http://www.juen.ac.jp/math/nakagawa/texguide.html 2011 11 10 3

TEX TEX \ Y= (1) \documentclass[xxx]{yyy} TEX yyy article jarticle book jbook jarticle xxx (2) \begin{document} (3) \end{document} EasyTEX EasyTEX \documentclass[a4paper, 11pt]{jarticle} \begin{document} \TeX{} \end{document} 2.2 TEX EasyTEX [ ].dvi EasyTEX [DVI] DVI TEX DVI [File] [Print] 4

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3 3.1 part chapter section subsection subsubsection article \section, \subsection \subsubsection \section{aaa} aaa \subsection{bbb} bbb \section{ccc} ccc \subsection{ddd} ddd \subsubsection{eee} eee 6

1 AAA aaa 1.1 BBB bbb 2 CCC ccc 2.1 DDD ddd 2.1.1 EEE eee TEX \thesection \thesubsection \thesubsubsection \thesection \thesubsection \thesubsubsection 3 3.1 3.1.1 7

3.2 \title{\tex{} } \author{ } \date{2010 5 18 } \maketitle TEX 2010 5 18 \date{\today} jarticle article May 18, 2010 3.1. (1) (2) \thesection (3) maketitle 3.3 1 1 0 \setcounter{section}{-1} 0 n \section n + 1 8

3.4 TEX *2 \footnote{...}... 3.5 TEX TEX \label{xxx} xxx \ref{xxx} \subsection{ }\label{ref} \ref{ref} 3.5 \pageref \pageref{ref} 9 \footnote{ \label{samplefootnote}} \ref{samplefootnote} *2 3.6 \tableofcontents 3.2. (1) \label \ref (2) \label \ref (3) *2 9

4 TEX \begin{xxx}... \end{xxx} \begin{xxx} \end{xxx} 4.1 quote quote Vogt \begin{quote} Vogt, 2007, 180 \end{quote} Vogt Vogt, 2007, 180 10

quote quotation *3 4.2 itemize enumerate description \begin{itemize} \item PFM \item Banco del Mutuo Soccorso \item Area \end{itemize} PFM Banco del Mutuo Soccorso Area \begin{itemize} \item PFM \begin{itemize} \item Storia di Un Minuto \item Per Un Amico \end{itemize} \item Banco del Mutuo Soccorso \begin{itemize} \item Io Sono Nato Libero \item Darwin! \end{itemize} \end{itemize} *3 TEX \noindent 11

PFM Storia di Un Minuto Per Un Amico Banco del Mutuo Soccorso Io Sono Nato Libero Darwin! enumerate \begin{enumerate} \item PFM \item Banco del Mutuo Soccorso \item Area \end{enumerate} 1. PFM 2. Banco del Mutuo Soccorso 3. Area description \item [] \begin{description} \item[ ] 5 25 16 30 \item[ ] 204 \item[ ] \TeX{} \end{enumerate} 5 25 16 30 204 TEX 12

4.3 center flushright flushleft \begin{flushleft} \end{flushleft} \begin{flushright} \end{flushright} \begin{center} \end{center} 4.4 tabular \begin{tabular}{ r c l } \hline AAAA & BBB & CCC \\ \hline\hline D & E & F \\ \hline G & H & I \\ \cline{2-3} & J & K \\ \hline \end{tabular} 13

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\begin{tabular}{ l c r } \hline \multicolumn{3}{ c }{AAAAAAAAAAAAAAAAAA} \\ \hline\hline \multicolumn{2}{ r }{BBB} & CCC \\ \hline D & \multicolumn{2}{ l }{EEEE} \\ \hline F & GGGGGG & \multicolumn{1}{ c }{H} \\ \hline \end{tabular} AAAAAAAAAAAAAAAAAA BBB CCC D EEEE F GGGGGG H 4.1. tabular (1) 9 8 7 6 5 4 3 2 1 (2) AAAAAAAAAAAAAAAAAA BBB CCC DD EE 5 TEX 15

\textgt{abcdefghij01234 } = abcdefghij01234 \textbf{abcdefghij01234 } = abcdefghij01234 \textit{abcdefghij01234 } = abcdefghij01234 \textsf{abcdefghij01234 } = abcdefghij01234 \texttt{abcdefghij01234 } = abcdefghij01234 \textsl{abcdefghij01234 } = abcdefghij01234 \textrm{abcdefghij01234 } = abcdefghij01234 \textsc{abcdefghij01234 } = abcdefghij01234 {\tiny } = {\scriptsize } = {\footnotesize } = {\small } = {\normalsize } = {\large } = {\Large } = {\LARGE } = {\huge } = {\Huge } = {\HUGE } = TEX Word PowerPoint 16

6 ä, á ß æ \"{a} ä \ {a} á \ {a} à \^{a} â \c{a} a \~{a} ã \={a} ā \.{a} ȧ \u{a} ă \v{a} ǎ \H{a} a \t{a} a \d{a} ạ \b{a} ā \r{a} å \ss ß \ae æ \oe œ \AE Æ \OE Œ 7 7.1 (xy)z = x(yz) $(xy)z = x(yz)$ $ \[ \] \[ (xy)z = x(yz) \] (xy)z = x(yz) equation 17

(xy)z = x(yz) (1) \label \ref \begin{equation}\label{assoc} (xy)z = x(yz) \end{equation} \ref{assoc} 1 equation \setcounter{equation}{100} 101 \mathrm{abcabc012} = abcabc012 \mathit{abcabc012} = abcabc012 \mathbf{abcabc012} = abcabc012 $x + y$ $x+y$ \mbox{...} $\mbox{ }x\mbox{ }f(x) = g(x)$ x f(x) = g(x) 7.2 \infty \emptyset \aleph ℵ \top \bot \angle \triangle \diamond \diamondsuit \spadesuit \clubsuit \heartsuit \sharp \natural \flat \dagger \ddager 18

7.3 \frac{a}{b} \sqrt[a]{b} a b a b a^{b} a b a_{b} a b a^{b}_{c} a b c \ a\ a \sin x sin x \cos x cos x \tan x tan x \log_{y} x log y x b \int_{a}^{b} f(x)dx a f(x)dx \sum_{k = 0}^{n} a_{k} n k=0 a k n \prod_{k = 0}^{n} A_{k} k=0 A n k \coprod_{k = 0}^{n} A_{k} k=0 A k \lim_{x \to 0} f(x) lim x 0 f(x) \neg A A \forall x A(x) xa(x) \exists x A(x) xa(x) \lim \int a b lim f(x) x 0 b a f(x)dx $\displaystyle{\lim_{x \to \infty}f(x)}$ lim f(x) x \sqrt[a]{b} [a] \sqrt{b} b 7.1. 2 (1) 3 (2) x y x z = x y+z x (3) F (x) = f(t)dt (4) a n+1 = n k=0 2 a k (5) lim x 0 x 2 2x + 1 x 1 k=0 a k 19

7.4 \cdot * + + - \pm ± \mp \div \times \bullet \circ \ast \star \cup \cap \setminus \ \vee \wedge \otimes \oplus \ominus \odot \bigcup \[ \bigcup_{k = 0}^{\infty} A_{k} \] \cap, \vee, \wedge, \otimes, \oplus k=0 A k 7.5 < < > > \le \ge \prec \preceq \succ \succeq \subset \subseteq \supset \supseteq \in \notin / \ni \vdash \dashv \models = = = \neq \propto \equiv \sim \simeq \approx \cong = \subset \smile \frown \mid \parallel \bowtie \perp \not \not \sim 20

7.6 \alpha \beta \gamma \delta \epsilon \zeta \eta \theta \iota \kappa \lambda \mu \nu \xi o \pi \rho \sigma \tau \upsilon \phi \chi \psi \omega ɛ epsilon \varepsilon ε pi, sigma, theta, rho, phi \Gamma \Delta \Theta \Lambda \Xi \Pi \Sigma \Upsilon \Phi \Psi \Omega 7.2. 7.7 (x) (x) \{ x \} {x} [x] [x] \lceil x \rceil x \lfloor x \rfloorl x \langle x \rangle x / / \ \uparrow \Uparrow \downarrow \Downarrow \updownarrow \Updownarrow \bigl \bigr, \bigm Bigl biggl Biggl Bigr biggr Biggr Bigm biggm Biggm \left, \right. \[\left\angle \sum_{k \ge 0} a_n \right.\] k 0 21 a n

\to, \rightarrow \leftarrow \leftrightarrow \Rightarrow \Leftarrow \Leftrightarrow \longrightarrow \longleftarrow \longleftrightarrow \Longrightarrow = \Longleftarrow = \Longleftrightarrow \rightharpoonup \leftharpoonup \rightharpoondown \leftharpoondown \hookrightarrow \hookleftarrow 7.3. (1) x = b ± b 2 4ac 2a ( ) (2) A B λ = λ Λ(A B λ ) λ Λ (3) x 1, x 2 y 1, y 2 x i i y i (i = 1, 2) (4) ε R δ R y R. x y < δ = f(x) f(y) < ε 8 $\square$ \documentclass{...} \begin{document} *5 \usepackage{amssymb} TEX \square amssymb TEX pl A TEX 2ε TEX pl A TEX 2ε amssymb hhline tabular AAA BBB CCC DDD EEE FFF 0 1 2 3 4 5 *5 22

\begin{tabular}[b]{ c c c c c c } \hhline{ t:=t::=t::=t::=t::=t::=t: } AAA & BBB & CCC & DDD & EEE & FFF \\ \hhline{ :=::= ==: = :=: } 0 & 1 & 2 & 3 & 4 & 5 \\ \hhline{ b:=b::=b::=b::=b::=b::=b: } \end{tabular} graphics \rotatebox{30}{ }\rotatebox{-45}{ }\scalebox{1.5}{ } \scalebox{1}[3]{ }\scalebox{3}[1]{ }\reflectbox{ } pl A TEX 2ε pl A TEX 2ε TEX \usepackage 11.5 9 9.1 graphics graphicx graphics DVI PDF OS PS EPS PS EPS L A TEX2e 4 graphicx \usepackage[dvips]{graphicx} TEX sample_picture.ps 23

\includegraphics{sample_picture.ps} \includegraphics[width=5cm]{sample_picture.ps} 15cm width height \vspace pt cm mm \includegraphics[width=3cm]{sample_picture.ps} \includegraphics[height=3cm]{sample_picture.ps} \includegraphics[width=6cm, height=3cm]{sample_picture.ps} \includegraphics[width=5cm, height=3cm, keepaspectratio]{sample_p icture.ps} 24

keepaspectratio \rotatebox \scalebox \reflectbox \rotatebox{45}{\reflectbox{\includegraphics[width=3cm]{sample_picture.ps}}} 25

1 9.2 figure TEX \begin{figure}[t] \begin{center} \includegraphics[width=6cm]{sample_picture.ps} \end{center} \caption{ }\label{lying_cat} \end{figure} \caption TEX \caption \label lying_cat \ref{lying_cat} 1 \begin{figure} [t] t b h p [htb] h t b p [bht] 10 TEX 26

\newcount \newcount\xxx \xxx 0 \the\xxx \xxx \xxx = n xxx n \advance\xxx by n \xxx n n n \multiply \divide *6 \newcount\xxx \begin{quote} \advance\xxx by 100 \the\xxx \end{quote} \the\xxx 0 100 quote \xxx 100 100 \xxx 100 0 \global \newcount\yyy \begin{quote} \global\advance\yyy by 100 \the\yyy \end{quote} \the\yyy *6 \divide 27

100 100 11 TEX TEX TEX \TeX, \alpha, \int, \noindent, etc. \vspace \large, \textbf, \frac, etc. \begin{...} \end{...} 11.1 \def\myaddress{ \begin{flushright} 606-****\hspace{7em} ********** \end{flushright} } \MyAddress 606-**** *********** 28

\newcommand \newcommand{\myaddress}{...} \newcommand TEX \def TEX & # 11.1. (1) \MyEmailAddress *7 (2) \alpha \def \newcommand 11.2 \vspace{1ex} \noindent {\large \P \hspace{.5em} \textbf{ }} 1. \vspace{1ex} 2. \noindent 3. large {\large } 4. \P 5. \hspace{.5em} 6. \textbf{ } *7 2.3 29

7. 1 6 7 1 6 *8 \newcommand{\heading}[1]{ \vspace{1ex} \noindent {\large \P \hspace{.5em} \textbf{#1}} } \Heading{xxx} xxx \newcommand{\xxx}[n]{zzz} \xxx n 9 zzz zzz #1 #2 #n \xxx{ 1}{ 2}...{ n} zzz #1 #2 1 2 \xxx{a1}{a2}...{an} = zzz[#1:=a1][#2:=a2]...[#n:=an] [#k:=ak] #k ak 11.2. (1) 1 *9 *** \CentAstHeading \CentAstHeading{ } *8 *9 4.3 30

*** *** (2) 1 2 3 4 \MyHeading \MyHeading{ }{ }{ } 2011 11 10 (3) 1 \AngIt \AngIt{argument} argument (4) 2 {#1 1, #1 2,..., #1 #2 } \SSeq \SSeq{x}{n} {x 1, x 2,..., x n } (5) 1 2 1 (.#1) #2 \Reibun \newcount\jimihen \Reibun{\JimiHen}{Let me stand next to your fire.} \Reibun{\JimiHen}{Excuse me while I kiss the sky.} (11.1) Let me stand next to your fire. (11.2) Excuse me while I kiss the sky. 31

(6) 2 \Lfootnote 11.2.1 1 0 2 1 3 1 \newcommand{\scoreboard}[8]{ \begin{tabular}{ r c c } \hline & \textbf{#1} & \textbf{#2} \\ \hline & #3 & #4 \\ \hline & #5 & #6 \\ \hline & #7 & #8 \\ \hline \end{tabular} } \ScoreBoard{ }{ }{1}{0}{2}{1}{3}{1} 32

1 0 2 1 3 1 \ScoreBoard \newcommand{\scoreboard}[6]{ \newcount\homesum % 0 \newcount\awaysum % 0 \advance\homesum by #3 % \advance\homesum by #5 % \advance\awaysum by #4 % \advance\awaysum by #6 % \begin{tabular}{ r c c } \hline & \textbf{#1} & \textbf{#2} \\ \hline & #3 & #4 \\ \hline & #5 & #6 \\ \hline & \the\homesum & \the\awaysum \\ \hline \end{tabular} } \ScoreBoard{ }{ }{1}{1}{2}{1} 1 1 2 1 3 2 33

\homesum \awaysum TEX ifthen \newcommand \renewcommand 11.3 \sqrt $\sqrt{x}$ x \sqrt[y]{x} y x y {} [] \newcommand{\xseq}[1][n]{x_1,\dots,x_#1} #1 n $\Xseq$ x 1,..., x n #1 $\Xseq[k]$ x 1,..., x k \newcommand{\seq}[2][n]{#2_1,\dots,#2_#1} n $\Seq{y}$ y 1,..., y n $\Seq[k]{y}$ y 1,..., y k 11.3. (1) 11.2.1 ScoreBoard (2) 11.2 (2) MyHeading 11.4 \newenvironment{xxx}{yyy}{zzz} xxx yyy zzz 34

\newenvironment{proof}{\textbf{ } }{\hfill (QED)} * 10 \begin{proof} \end{proof} (QED) 11.5.sty mydefinition.sty mydefinition.sty TEX TEX \usepackage{mydefinition} mydefinition.sty TEX *10 \hfill 35

11.6 TEX Word Excel TEX Don t Repeat Yourself TEX 33 \ScoreBoard 1 2 3 0 1 1 100 100 36

\newcommand{\scoreboard}[6]{ \newcount\homesum \newcount\awaysum \advance\homesum by #3 \advance\homesum by #5 \advance\awaysum by #4 \advance\awaysum by #6 \begin{tabular}{ l c c c } \hline & & & \\ \hline \textbf{#1} & #3 & #5 & \the\homesum \\ \hline \textbf{#2} & #4 & #6 & \the\awaysum \\ \hline \end{tabular} } 12 12.1 TEX.bib bibtest.bib @book{takahashim_keisan, title = " --- ", author = " ", publisher = " ", series = " ", address = " ", volume = "24", year = "2003", yomi = "Takahashimasako" } 37

TEX TEX \cite{takahashim_keisan} 3.2.17 \bibliographystyle{jplain} \bibliography{bibtest} * 11 [1] 3.2.17 [1].,, 24.,, 2003. \cite{xxx} xxx \bibliography{yyy} yyy bib bibtest.bib TkahashiM Keisan \cite *11 [?] 38

@incollection{godel1, title = "What is {Cantor s} continuum problem", author = "G{\"{o}}del, K.", booktitle = "Philosophy of Mathematics: Selected Readings", publisher = "Cambridge University Press", address = "Cambridge", year = "1983", editor = "Benacerraf, P. and Putnam, H.", edition = "Second", pages = "470--485" } @article{ichise1, title = " ", author = ", and, ", journal = " ", year = "1999", volume = "14", pages = "307--314", yomi = "Iichise" } [1] K. Gödel. What is Cantor s continuum problem. In P. Benacerraf and H. Putnam, editors, Philosophy of Mathematics: Selected Readings, pp. 470 485. Cambridge University Press, Cambridge, second edition, 1983. [2],.., Vol. 14, pp. 307 314, 1999. [3].,, 24.,, 2003. Web 39

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