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基礎数学I

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第86回日本感染症学会総会学術集会後抄録(II)


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L A TEX ver.2004.11.18 1 L A TEX LATEX 1.1 L A TEX L A TEX tex 1.1 1) latex mkdir latex 2) latex sample1 sample2 mkdir latex/sample1 mkdir latex/sample2 3) /staff/kaede work/www/math/takase sample1.tex sample2.tex 2) sample1 sample2 cp /staff/kaede work/www/math/takase/sample1.tex latex/sample1 cp /staff/kaede work/www/math/takase/sample2.tex latex/sample2 4) latex/sample1 cd latex/sample1 5) Mule sample1.tex mule sample1.tex 6) sample2.tex 1

1.2 L A TEX platex 1.2 1) sample1 2) sample1.tex 3) platex sample1.tex 4) sample1.dvi sample1.log sample1.aux sample1.dvi dvi sample1.log sample1.aux 1.3 nslookup IP nslookup nslookup DNS (Domain Name Service) IP nslookup /usr/sbin nslookup.cshrc original.cshrc /usr/sbin/nslookup.cshrc alias nslookup /usr/sbin/nslookup.cshrc set path /usr/sbin 1.4 X / X 1) Cygwin Cygwin 2) Cygwin xinit 3) xhost +procsv 4) 5) OK Control Panel 6) X-Window ASTEC-X X 2

X 1) TeraTerm who procsv.miyakyo-u.ac.jp 2) TeraTerm nslookup IP 160.28.***.*** 3) TeraTerm setenv DISPLAY 160.28.***.***:0.0 X 1.5 dvi xdvi 1.3 1) sample1 2) dvi sample1.dvi 3) xdvi sample1.dvi 3

2 \begin{document} \end{document} \documentclass[11pt]{jarticle} \textwidth 150mm \textheight 230mm \begin{document} [] \end{document} L A TEX {\rm Roman} Roman {\bf Bold Face} Bold Face {\it Italic} Italic {\sl Slanted} Slanted {\sf Sans Selif} Sans Selif {\tt Typewrite} Typewrite {\sc Small Caps} Small Caps {\mc } {\gt } 2.1 1) emacs env.tex 2) test.tex env.tex 3) emacs test.tex \begin{document} \end{document} 4 2.2 2.1 LATEX test.tex 2.3 1) 2.1 L A TEX test.tex size1.tex size2.tex 2) size1.tex \textwidth 150mm \textwidth 50mm 3) size2.tex \texthight 230mm \texthight 10mm 4

3 L A TEX \documentclass[11pt]{jarticle} \usepackage{amssymb} \usepackage{graphicx} \textwidth 140mm \textheight 230mm \thispagestyle{empty} \title{ \LaTeX} \author{} \date{ver.\number\year.\number\month.\number\day} \newtheorem{kadai}{ }[section] \renewcommand{\labelenumi}{{\rm\arabic{enumi})}} \begin{document} \maketitle \section{ } \LaTeX \titla{} \author{} \date{} \begin{document} \maketitle \part{ } Part I \section{} \subsection{ } \subsubsection{ } 1 1.1 1.1.1 3.1 1) 2.1 L A TEX env.tex section.tex 5

2) section.tex 4 L A TEX L A TEX L A TEX $ $$ \begin{itemize} \item \LaTeX \begin{itemize} \item \item \LaTeX \item \end{itemize} \item \LaTeX \begin{itemize} \item \$ \item \verb+$$+ \end{itemize} \end{itemize} (a) L A TEX (1) (2) LATEX (3) (b) LATEX $ 6

$$ \begin{itemize} \item[(a)] \LaTeX \begin{itemize} \item[(1)] \item[(2)] \LaTeX \item[(3)] \end{itemize} \item[(b)] \LaTeX \begin{itemize} \item[$\cdot$] \$ \item[$\cdot$] \$\$ \end{itemize} \end{itemize} 4.1 1) 2.1 L A TEX env.tex item.tex 2) item.tex 5 $ $$ \documentclass[11pt]{jarticle} \textwidth 150mm \textheight 230mm \begin{document} $x+b$ $$ x+b $$ \end{document} 7

x + b x + b ax^2+bx+c=0 ax 2 + bx + c =0 1+2+\cdots+n \frac{n(n+1)(n+2)}{a+b} \int_0^{\infty}e^{-t}t^{s-1}dt \frac{df}{dx}=f^{\prime}(x) 1 + 2 + + n n(n + 1)(n +2) a + b 0 e t t s 1 dt df dx = f (x) \sum_{n=0}^{\infty}\frac 1{n!}=e \left[\frac{df}{dx}\right]_{x=0}=f^{\prime}(0) n=0 1 n! = e [ ] df = f (0) dx x=0 \sqrt{b^2-4ac} \sqrt{a\pm\sqrt{b^2-4ac}} b 2 4ac a ± b 2 4ac $\frac{df}{dx}$ df dx $\displaystyle\frac{df}{dx}$ df dx α \alpha ι \iota σ \sigma Λ \Lambda β \beta κ \kappa τ \tau \Delta γ \gamma λ \lambda υ \upsilon Θ \Theta δ \delta µ \mu φ \phi Λ \Lambda ɛ \epsilon ν \nu ϕ \varphi Ξ \Xi ε \varepsilon ξ \xi χ \chi Π \Pi ζ \zeta π \pi ψ \psi Σ \Sigma η \eta ϖ \varpi ω \omega Υ \Upsilon θ \theta ρ \rho Φ \Phi ϑ \vartheta Ψ \Psi Ω \Omega 8

5.1 1) 2.1 LATEX env.tex expres.tex 2) expres.tex 1 n! = e n=0 \displaystyle 3) expres.tex 5.2 1) 5.1 L A TEX expres.tex error1.tex error2.tex 2) error1.tex $ 3) error2.tex $$ 6 \begin{array}{ccc} 1&1&1\\ 1&11&111\\ 1&111&11 \end{array} \begin{array}{lll} 1&1&1\\ 1&11&111\\ 1&111&11 \end{array} \begin{array}{rrr} 1&1&1\\ 1&11&111\\ 1&111&11 \end{array} 1 1 1 1 11 111 1 111 11 1 1 1 1 11 111 1 111 11 1 1 1 1 11 111 1 111 11 9

\left( \begin{array}{ccc} 1&1&1\\ 1&11&111\\ 1&111&11 \end{array} \right) \left[ \begin{array}{lll} 1&1&1\\ 1&11&111\\ 1&111&11 \end{array} \right] 1 1 1 1 11 111 1 111 11 1 1 1 1 11 111 1 111 11 \left\{ \begin{array}{rrr} 1&1&1\\ 1&11&111\\ 1&111&11 \end{array} \right\} I_n=\left[\begin{array}{cccc} 1 & 0 &\cdots& 0 \\ 0 & 1 &\cdots& 0 \\ \vdots&\vdots&\ddots&\vdots\\ 0 & 0 &\cdots& 1 \end{array}\right] 1 1 1 1 11 111 1 111 11 1 0 0 0 1 0 I n =...... 0 0 1 6.1 1) 2.1 LATEX env.tex matrix.tex 1 x x 2 2) matrix.tex 1 y y 2 \displaystyle 1 z z 2 3) matrix.tex 6.2 1) 6.1 L A TEX matrix.tex materr1.tex materr2.tex 2) materr1.tex \begin{array}{ccc} \begin{array}{cc} 10

3) materr2.tex \right] 7 e = ( lim 1+ 1 ) n n n = 1 n! n=0 \begin{eqnarray*} e&=&\lim_{n\to\infty}\left(1+\frac 1n\right)^n\\ &=&\sum_{n=0}^{\infty}\frac 1{n!} \end{eqnarray*} eqnarray* eqnarray \begin{eqnarray} e&=&\lim_{n\to\infty}\left(1+\frac 1n\right)^n\\ &=&\sum_{n=0}^{\infty}\frac 1{n!} \end{eqnarray} e = ( lim 1+ 1 n n n) (1) = 1 n! (2) n=0 7.1 1) 2.1 LATEX env.tex eqnarray.tex 2) eqnarray.tex π/4 0 π/4 sin x tan xdx = 0 cos x dx = [ log cos x] π/4 0 = lo gco s0 log cos(π/4) = log 2 11

8 LATEX \begin{center} \begin{tabular}{ c c c c } \hline &&& \\ \hline &$\times$&$\triangle$&$\times$\\ \hline \LaTeX &$\bigcirc$&$\bigcirc$&$\bigcirc$\\ \hline \end{tabular} \end{center} 8.1 1) 2.1 L A TEX env.tex table.tex 2) table.tex x 1 2 f(x) f (x) + 0 0 + : \nearrow, : \searrow, : \swarrow, : \nwarrow [1] L A TEX2 ε 2000 [2] pl A TEX2 ε for Windows Another Manual (Basic Kit 1999) + 1998 12