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1 I TEX 1 TEX TEX( ) Donald E. Knuth TEX TEX TEX L A TEX( ) L A TEX DEC Leslie Lamport TEX L A TEX 1993 L A TEX 2ε L A TEX L A TEX 2ε 2 TEX TEX test.tex \documentclass{jarticle} \begin{document} \LaTeXe \end{document} TEX platex test.tex TEX test.dvi test.dvi test.tex TEX xdvik test.dvi 1

$tex \documentclass{jarticle} \begin{document} \LaTeXe \end{document} TEX$

2 TEX 3 TEX 7 1..tex 2. \documentclass{jarticle} \begin{document} 3. \end{document} # $ % & _ { } < > \ ^ ~ \documentclass{...} jarticle jbook jreport jarticle 4 TEX Word TEX $$a + b$ a+b $ $x^2$ x 2 $x_{ij}$ x ij 2 {} x j i \[ \] \[ y = x^2 \] y = x 2 2

$\documentclass{.$

3 \begin{equation} \end{equation} \begin{equation} y = ax^2 + bx + c \end{equation} y = ax 2 + bx + c (1) \begin{eqnarray} \end{eqnarray} & & \begin{eqnarray} y &=& ax^2 + bx + c \\ &=& a(x + \frac{b}{2a})^2 + c - \frac{b^2}{4a^2} \nonumber \end{eqnarray} y = ax 2 + bx + c (2) = a(x + b 2a )2 + c b2 4a \frac L A TEX \\\nonumber $\frac{}{}$ $\frac{1}{2}$ 1 2 \[ \frac{1}{1 + e^{-x}} \] e x \sum \[ \sum_{i=0}^{k} ar^i = \frac{a - ar^{k+1}}{1 - r}\] k i=0 \int \[ \int_{0}^{\infty} e^x dx \] ar i = a ark+1 1 r 0 e x dx 3

$\end{eqnarray} y = ax 2 + bx + c (2) = a(x + b 2a )2 + c b2 4a \frac L A TEX \\\nonumber $\frac{}{}$ $\frac{1}{2}$ 1 2 \[$

4 5 L A TEX L A TEX 5.1 \# # \copyright c \l l \, \$ $ \pounds \L L \, \% % Y\llap= Y= \ss ß * * \& & \oe œ? - - \_ \OE Œ! -- \{ { \ae æ \i ı --- \} } \AE Æ \j j \TeX TEX \S \aa å \LaTeX L A TEX \P \AA Å \LaTeXe L A TEX 2ε \dag \o ø \ddag \O Ø 5.2 \ {o} ò \~{o} õ \v{o} ǒ \d{o ọ \ {o} ó \={o} ō \H{o} ő \b{o ō \^{o} ô \.{o} ȯ \t{oo} oo \"{o} ö \u{o} ŏ \c{o} o 5.3 (x) (x) \{ x \} {x} \lceil x \rceil x [x] [x] \lfloor x \rfloor x \langle x \rangle x / / \uparrow \updownarrow \backslash \ \Uparrow \Updownarrow \downarrow \ \Downarrow 4

$2 \ {o} ò \~{o} õ \v{o} ǒ \d{o ọ \ {o} ó \={o} ō \H{o} ő \b{o ō \^{o} ô \.{o} ȯ \t{oo} oo \"{o} ö \u{o} ŏ \c{o} o 5.$

5 5.4 \alpha α \eta η \nu ν \tau τ \beta β \theta θ \xi ξ \upsilon υ \gamma γ \iota ι \o ø \phi φ \delta δ \kappa κ \pi π \chi χ \epsilon ɛ \lambda λ \rho ρ \psi ψ \zeta ζ \mu µ \sigma σ \omega ω \varepsilon ε \varpi ϖ \varsigma ς \vartheta ϑ \varrho ϱ \varphi ϕ \Gamma Γ \Lambda Λ \Sigma Σ \Psi Ψ \Delta \Xi Ξ \Upsilon Υ \Omega Ω \Theta Θ \Pi Π \Phi Φ \pm ± \uplus \triangleright \mp \sqcap \oplus \times \sqcup \ominus \div \vee \otimes \ast \wedge \oslash \star \setminus \ \odot \circ \wr \bigcirc \bullet \diamond \dagger \cdot \bigtriangleup \ddagger \cap \bigtriangledown \amalg \cup \triangleleft 5

$\Xi Ξ \Upsilon Υ \Omega Ω \Theta Θ \Pi Π \Phi Φ 5.$

6 5.6 \leq \geq \prec \succ \preceq \succeq \ll \gg \subset \supset \sqsubseteq \sqsupseteq \vdash \dashv \in \ni \notin / \equiv \approx \propto \parallel \sim \cong = \models = \bowtie \simeq \neq \perp \smile. \asymp \doteq = \mid \frown $x \not\equiv y$ x y 5.7 \leftarrow \longleftarrow \Leftarrow \Longleftarrow = \rightarrow \longrightarrow \Rightarrow \Longrightarrow = \leftrightarrow \longleftrightarrow \Leftrightarrow \Longleftrightarrow \mapsto \longmapsto \hookleftarrow \hookrightarrow \leftharpoonup \rightharpoonup \leftharpoondown \rightharpoondown \nearrow \swarrow \rightleftharpoons \searrow \nwarrow 6

$7 \leftarrow \longleftarrow \Leftarrow \Longleftarrow = \rightarrow \longrightarrow \Rightarrow \Longrightarrow = \leftrightarrow \longleftrightarrow$

7 5.8 \aleph ℵ \prime \neg \hbar h \emptyset \flat \imath ı \nabla \natural \jmath j \surd \sharp \ell l \top \clubsuit \wp \bot \diamondsuit \Re R \angle \heartsuit \Im I \triangle \spadesuit \partial \forall \infty \exists 5.9 \sum \bigcap \bigodot \prod \bigcup \bigotimes \coprod \bigsqcup \bigoplus \int \bigvee \gibuplus \oint \bigwedge 5.10 log mod \arccos arccos \dim dim \log log \arcsin arcsin \exp exp \max max \arctan arctan \gcd gcd \min min \arg arg \hom hom \Pr Pr \cos cos \inf inf \sec sec \cosh cosh \ker ker \sin sin \cot cot \lg lg \sinh sinh \coth coth \lim lim \sup sup \csc csc \liminf lim inf \tan tan \deg deg \limsp lim sup \tanh tanh \det det \ln ln $m \bmod n$ m mod n $a \equiv b \pmod{n}$ a b (mod n) 7

$10 log mod \arccos arccos \dim dim \log log \arcsin arcsin \exp exp \max max \arctan arctan \gcd gcd \min min \arg arg \hom hom \Pr Pr \cos cos \inf inf \sec sec \cosh cosh \ker ker$

8 5.11 \hat{a} â \grave{a} à \dot{a} ȧ \check{a} ǎ \tilde{a} ã \ddot{a} ä \breve{a} ă \bar{a} ā \acute{a} á \vec{a} a {}}{ \overline{x+y} x + y \overbrace{x+y) x + y \underline{x+y} x + y \underbrace{x+y} x + y }{{} \widehat{xyz} xyz \overrightarrow{oa} OA \widetilde{xyz} xyz \overleftarrow{\mathrm{oa}} OA \overbrace{a + \cdots + z}^{26} \underbrace{a + \cdots + z}_{26} 26 {}}{ a + + z a + + z }{{} 26 \stackrel{f}{\to} f \stackrel{\mathrm{def}}{=} def = TEX \begin{verbatim} \end{verbatim} Hello, World! C L A TEX \begin{verbatim} #include <stdio.h> int main(void){ printf("hello, World!\n"); return(0); } \end{verbatim} 8

$\overbrace{a + \cdots + z}^{26} \underbrace{a + \cdots + z}_{26} 26 {}}{ a + + z a + + z }{{} 26 \stackrel{f}{\to} f \stackrel{\mathrm{def}}{=} def = 6 6.$

9 6.2 YaTeX L A TEX L A TEX YaTeX YaTeX Emacs L A TEX YaTeX YaTeX TEX TEX platex xdvik platex C-c t jemacs L A TEX xdvik C-c t p Emacs xdvi pxdvik C-c b c C-c b d C-c b D C-c b e C-c b E C-c b i C-c b l C-c b m C-c b T C-c b T C-c b C-t C-c b p C-c b q C-c b Q C-c b r C-c b v C-c b V \begin{center}...\end{cneter} \begin{document}...\end{document} \begin{description}...\end{description} \begin{enumerate}...\end{enumerate} \begin{equation}...\end{equation} \begin{itemize}...\end{itemize} \begin{flushleft}...\end{flushleft} \begin{minipage}...\end{minipage} \begin{tabbing}...\end{tabbing} \begin{tabular}...\end{tabular} \begin{table}...\end{table} \begin{picture}...\end{picture} \begin{quote}...\end{quote} \begin{quotation}...\end{quotation} \begin{flushright}...\end{flushright} \begin{verbatim}...\end{verbatim} \begin{verse}...\end{verse} C-c s \section{} \section{}\begin{} \end{} 7 L A TEX L A TEX 2ε L A TEX Leslie Lamport L A TEX 2ε L A TEX 2ε 9

$..\end{description} \begin{enumerate}...\end{enumerate} \begin{equation}...\end{equation} \begin{itemize}...\end{itemize} \begin{flushleft}...\end{flushleft} \begin{minipage}.$

10 8 1. TEX (a) 1 x log xdx (b) a 1 = 1, a 2 = 2, a n+2 4a n+1 + 3a n = 0 2. L A TEX 2ε dvi ().dvi 10

Using Keystrokes to Write Equations In Microsoft Office 2007 Equation Editor

Using Keystrokes to Write Equations In Microsoft Office 2007 Equation Editor by Tomas Co Michigan Technological University Department of Chemical Engineering March 2008 1 Table of Contents I. Introduction