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1 L A TEX Copyright c KAKEHI Katsuhiko All Rights Reserved 1 L A TEX \documentstyle[< >]{jarticle} \title{} \author{< >} \date{} \begin{document} \end{document} article jarticle report jreport book jarticle jreport jarticle 1.1, 11pt, 12pt 10pt twoside oneside twocolumn 2 onecolumn titlepage notitlepage 1.2 ( ) \\ \title{ \\ } L A TEX \today 1

2 \topmargin \oddsidemargine \headheight \evensidemargine \headsep \textwidth \textheight \footskip \footheight \textwidth 170mm 2 \maketitle < > ( ) \maketitle 2.1 \begin{abstract} \end{abstract} \begin{thebibliography}{< >} \bibitem{< >} \end{thebibliography} \bibitem \cite{< >} 2

3 2.3 \section{< >} \subsubsection{< >} \subsubsection{< >} \section 1... \subsection 1.1 \subsubsection \label{< >} \ref{< >} (2.2 ) L A TEX \ {, } % ~ & $ # [ ] _ ^ < > \ { } % & $ # _ (4 ) ( ) 3.2 \\ 3

4 L A TEX ( ) (.,!,?, :)... \@ \ \, \ldods \begin{quote} < > \end{quote} \\ \begin{quotation} < > \end{quotation} \begin{itemize} \item < > \end{itemize} \begin{enumerate} \item < > \end{enumerate} \begin{description} \item[ < > ] < > \end{enumerate} 4

5 \begin{tabbing} < > \end{tabbing} \= \> \\ \kill \kill \begin{tabbing} \= \kill \\ \> \verb+if+ \= \verb+then+ \\ \> \> \\ \> \verb+else+ \\ \> \> \end{tabbing} = if then else \begin{tabular}{ < > } \hline < > & < > \\ \hline \end{tabular} \hline 1 \\ \\ ( l ) ( c ) ( r ) & 1 \begin{tabular}[t]{l c r}\hline & \$ & 1.00 \\ & Yen & \\ & DM & 1.63 \end{tabular} = $ 1.00 Yen DM 1.63 [t] 3.6 L A TEX L A TEX \verbα < > α α \verb*α < > α α < > \begin{verbatim} < > \end{verbatim} < > 5

6 \begin{verbatim*} < > \end{verbatim*} < > < > \verbα \verb*α α \begin{verbatim} \begin{verbatim*} \end{verbatim} \end{verbatim*} \ 4 $ $  $$ $$ \[ \] $n/2$ \verb+$$n/2$$+ $$n/2$$ 1 = n/2 $$n/2$$ n/ $fg$ $f g$ fg L A TEX \, \: \! \; α \alpha β \beta γ \gamma δ delta ɛ \epsilon ζ \zeta η \eta θ \theta ι \iota κ \kappa λ \lambda µ \mu ν \nu ξ \xi o o π \pi ρ \rho σ \sigma τ \tau υ \upsilon φ \phi χ \chi ψ \psi ω \omega Γ \Gamma \Delta Θ \Theta Λ \Lambda Ξ \Xi Π \Pi Σ \Sigma Υ \Upsilon Φ \Phi Ψ \Psi Ω \Omega ε \varepsilon ϑ \vartheta ϖ \varpi ϱ \varrho ς \varsigam ϕ \varphi 6

7 4.2.2 ± \pm \mp \times \div \leq \geq \ll \gg \neq \equiv \approx. = \cong = \doteq \propto \cdot \circ \bullet \oplus \ominus \otimes \oslash \odot \in \ni \cap \cup ℵ \aleph \subset \subseteq \supset \supseteq \emptyset \wedge \vee \neg \forall \exists \vdash \dashv = models \top \bot \prec \succ \preceq \succeq ı \imath R \Re I \Im \infty nabla leftarrow \rigtarrow \leftrightarrow \Leftarrow \Rihgtarrow \Leftrightarrow longleftarrow \longrigtarrow \longleftrightarrow = \Longleftarrow = \Longrightarrow \Longleftrightarrow \leftharpoonup \leftharpoondown \rightleftharpoons \rightharpoonup \rightharpoondown \uparrow \downarrow \updownarrow \Uparrow \Downarrow \Updownarrow \sin \cos \tan \sec \csc \cot \arcsin \arccos \arctan \sinh \conh \tanh \coth \exp \log \ln \lg \arg \deg \sup \inf \max\min \gcd \det \dim \ker ^ _ 1 1 { } x^2 x 2 x^{2n} x 2n x^{2^n} x 2n x_2 x 2 x_{i j} x ij x^{i j_n} x ijn x^2_i x 2 i x_i^2 x 2 i x^{i_n} x in 7

8 4.3.2 \sum \prod \coprod \int \bigcap \bigcup \bigsqcup \bigwedge \bigvee \lim lim $\lim_{n\rightarrow \infty} \sum_{i=0}^{n} x^n = \alpha$ 1 \[\lim_{n\rightarrow \infty} \sum_{i=0}^{n} x^n = \alpha\] = lim n n i=0 xn = α 1 lim n i=0 n x n = α \frac{ }{ } \frac{a+b+c}{2} a + b + c \sqrt[ n ]{ < > } n 2( ) [2] $ \sqrt{u+v+2\sqrt{uv}}=\sqrt{u}+\sqrt{v} $ u + v +2 uv = u + v \overline{ } \underline{ } \overbrace{ } \underbrace{ } \underline{\overline{x^2+1}-y} \overbrace{a+b+\cdots +z}^{26} x 2 +1 y 26 {}}{ a + b + + z \hat{x} ˆx \bar{x} x \vec{x} x \dot{x} ẋ \ddot{x} ẍ \stackrel { } { } \stackrel{a}{\longrightarrow} a 8

9 4.3.6 \ldots... \cdots \vdots.. \ddots... x 1,...,x n (\ldots) x x n (\cdots) n \bmod $x= a \bmod n$ x = a mod n \pmod{ < > } $x^2 \equiv 1 \pmod{n}$ x 2 1 (mod n) 4.4 \begin{array}{ < > } < > & < > \\ < > \end{array} & < > < > tabular(3.5.2 ) $ \begin{array}{ccc} \cos \theta & \sin \theta & 0 \\ -\sin \theta & \cos \theta & 0 \\ 0 & 0 & 1 \end{array}$ = cos θ sin θ 0 sin θ cos θ ( ( ) ) [ [ ] ] { \{ } \} \lfloor \rfloor \lceil \rceil \langle \rangle \ \left \right $\left( \begin{array}... \end{array}\right)$ cos θ sin θ 0 sin θ cos θ $ f_n = \left\{ \begin{array}{ll} 0 & (n=0) \\ 1 & (n=1) \\ f_{n-1}+f_{n-2} & (n>1) \end{array} \right. $ = f n = 0 (n =0) 1 (n =1) f n 1 + f n 2 (n>1) \right. 9

10 4.5 \begin{eqnarray} < > \end{eqnarray} \begin{eqnarray*} < > \end{eqnarray*} \\ & < > & & \tabular(3.5.2 ) \array(4.4 ) \eqnarray \nonumber \begin{eqnarray} \sin(x+y) &=& \sin x\cos y + \cos x\sin y \nonumber\\ \cos(x+y) &=& \cos x\cos y - \sin x\sin y \end{eqnarray} sin(x + y) = sin x cos y + cos x sin y cos(x + y) = cos x cos y sin x sin y (1) \lefteqn{ } 0 \begin{eqnarray*} \lefteqn{x^2-xy+y^2} & & \\ &=& (x-\frac{y}{2})^2 + \frac{3}{4} y^2 \\ &\geq& 0 \end{eqnarray*} = x 2 xy + y 2 = (x y 2 ) y \mbox{ } \[ f(x) = \left\{ \begin{array}{ll} x^3 & \mbox{(if $x\geq 0$)} \\ 0 & \mbox{(otherwise)} \end{array} \right. \] = f(x) = { x 3 (if x 0) 0 (otherwise) 5 L A TEX \it \gt \bf \tt ({ } \begin{...} \end{...} ) { } {\bf } L A TEX \first \first{< > } 10

11 \newcommand{\first}[1]{{\bf #1}} {\first} [1] { } #1 1 \begin{...} \end{...} \baselineskip \setlength{ }{ } \newenvironment{program}% {\begin{quote}\setlength{\baselineskip}{0.8 \baselineskip}% {\end{quote}} { } \begin{...} 3 \end{...} % 6 L A TEX 6.1 \begin{figure} < > \end{figure} \begin{table} < > \end{table} \caption{ < > } n n \label{ < > } \caption{ } \ref{ < > } 2.2 \begin{tabular} \end{tabular} Mathematica EPS(Extended PostScript) (file) \epsfile{file=,scale= } 1.0 \documentstyle < > eclepsf (1.1 ) 6.2 \begin{minipage}[ ]{ n mm} \end{minipage} 11

12 ( ) n ( )1 (t) (b) [ ] 12

2. label \ref \figref \fgref graphicx \usepackage{graphicx [tb] [h] here [tb] \begin{figure~\end{figure \ref{fig:figure1 1: \begin{figure[

$2. label \ref \figref \fgref graphicx \usepackage{graphicx [tb] [h] here [tb] \begin{figure*~\end{figure* \ref{fig:figure1 1: \begin{figure[$ L A TEX 22 7 26 1. 1.1 \begin{itemize \end{itemize 1.2 1. 2. 3. \begin{enumerate \end{enumerate 1.3 1 2 3 \begin{description \item[ 1] \item[ 2] \item[ 3] \end{description 2. label \ref \figref \fgref