L A TEX (2)

Size: px
Start display at page:

Download "L A TEX (2)"

Transcription

1 L A TEX M1 takigawa@atmos.rcast.u-tokyo.ac.jp L A TEX ( c ) TEX L A TEX TEX L A TEX (1)

2 L A TEX (2) AMS-L A TEX EPS Emacs YaTeX() Windows Max OS X Emacs+YaTeX L A TEX

3 A 37 A.1 Emacs A

4 1 1.1 Emacs \documentclass{jsarticle} \begin{document} {\TeX} \end{document} sample.tex (. ) tex platex sample.tex This is e-ptex, Version p (utf8.euc) (TeX Live 2012/Debian) restricted \write18 enabled. entering extended mode (./sample.tex platex2e <2006/11/10> (based on LaTeX2e <2011/06/27> patch level 0) Babel <v3.8m> and hyphenation patterns for english, dumylang, nohyphenation, pi nyin, thai, loaded. (/usr/share/texlive/texmf-dist/tex/platex/jsclasses/jsarticle.cls Document Class: jsarticle 2010/03/14 okumura ) No file sample.aux. [1] (./sample.aux) ) Output written on sample.dvi (1 page, 324 bytes). Transcript written on sample.log.? x ls sample.aux sample.dvi sample.log sample.tex sample.tex 3 sample.dvi xdvi sample.dvi 1 sample.dvi 210 sample.dvi 210 PostScript sample.dvi PostScript 1

5 dvips sample.dvi 1 xdvi This is pdvips(k) p1.7b Copyright 2010 ASCII MEDIA WORKS. (ptex-staff@ml.asciimw.jp) based on dvips(k) 5.98dev Copyright 2010 Radical Eye Software ( TeX output :1414 -> sample.ps </usr/share/texmf/dvipsj/base/tex.pro> </usr/share/texmf/dvipsj/base/texps.pro>. </usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb>[1] sample.ps ls gv sample.ps gv lp sample.ps PostScript PDF sample.dvi PDF dvipdfmx sample.dvi sample.dvi -> sample.pdf [1] 2162 bytes written sample.pdf Adobe Reader (evince sample.pdf gv ) 2

6 1.2 TEX platex.tex dvi dvipdfmx.dvi PDF V3 V3 1. Emacs tex \documentclass{jsarticle} \begin{document} \end{document} \begin{document}\end{document} ( 3 ) 2. () platex *.tex L A TEX *.dvi 3. xdvi *.dvi PostScript dvips *.dvi PDF dvipdfmx *.dvi O.K. 1.3 L A TEX sample.tex 2 \documentclass{jsarticle} \began{document} {\TeX} \end{document} 3

7 platex sample.tex This is e-ptex, Version p (utf8.euc) (TeX Live 2012/Debian) restricted \write18 enabled. entering extended mode (./sample.tex platex2e <2006/11/10> (based on LaTeX2e <2011/06/27> patch level 0) Babel <v3.8m> and hyphenation patterns for english, dumylang, nohyphenation, pi nyin, thai, loaded. (/usr/share/texlive/texmf-dist/tex/platex/jsclasses/jsarticle.cls Document Class: jsarticle 2010/03/14 okumura )! Undefined control sequence. <recently read> \began? l.2 \began {document} begin began l.2(2 ) x platex sample.tex x Enter x * (Please type a command or say \end) \end{document} 4

8 2 1 L A TEX 2.1 TEX TEX *1 Stanford Donald E. Knuth () TEX τ ϵ χ χ (typesetting) TEX TEX TEX *2 Windows MacintoshUNIX d Φ(t + δt) Φ(t) Φ(t) = lim = dt δt 0 δt S(t) ( ) B t ( U B) ds = 0 different finish different finish ff fi () TEX () Volcano Volcano o V 1 TEX 1 TEX 2.2 L A TEX TEX (primitive) TEX DEC(Digital Equipment Corporation) Leslie Lamport TEX L A TEX L A TEX TEX L A TEX HTML(HyperText Markup Languege) HTML <CENTER></CENTER> *1 TEX TeX e LATEX LaTeX KinKi Kids *2 TeXLive MacTeX 5

9 L A TEX \begin{center}\end{center} L A TEX 2.09 L A TEX L A TEX L A TEX 2ε 2.3 TEX () TEX p(publishing ) platex L A TEX 2.4 L A TEX platex platex platex version e-ptex p (utf8.euc) (TeX Live 2012/Debian) (utf8.euc) UTF-8 *3 Emacs 2 2 U UTF-8 EUC-JP E EUC-JP UTF-8 Emacs Ctrl + x Enter f Coding system for saving file (default nil): utf-8 U nkf Google *3 UTF-8 EUC-JP UNIX 6

10 2 Emacs 3 L A TEX (1) L A TEX \documentclass{jsarticle} \begin{document} \end{document} L A TEX \documentclass[]{} \begin{document} \end{document} 3.2 \documentclass {} jsarticle 7

11 jsbook report article report book articlereportbook jarticlejreportjbook jsarticlejsbook [] [] 10pt, 11pt, 12pt 10pt a4paper, b5paper, a5paper, letterpaper a4paper onecolumn 1 twocolumn 2 onecolumn landscape [], [] 3.3 \title{} \author{} \date{} \begin{document} \maketitle 3.4 L A TEX 1 1 L A TEX \part{} \chapter{} \section{} \subsection{} \subsubsection{} \paragraph{} \subparagraph{} (js)article 8

12 \section{} \subsection{} \subsection{} \section{} \subsection{} \section{} \subsection{} \subsection{} \section{} \section{} \subsection{} L A TEX 3.5 Enter TEX ( Enter ) TEX : \\ 2 9

13 L A TEX 1998 Simple Peter held the mirror up to his face and Simple Peter held the mirror up to his face and peered into it. First he peered into it. First he turned one way, then turned one way, then he turned the he turned the 1 L A TEX it First 1 2 L A TEX \\ 5 6 ~~ Fill in the blank below:\\ So Peter ( ).\\ \\ So Peter ( \ \ \ \ \ \ \ \ \ \ \ ).\\ So Peter (~~~~~~~~~~~~).\\ Fill in the blank below: So Peter ( ). So Peter ( ). So Peter ( ). 3.7 /home2/takigawa/exercise/exercise1.tex - \title - \date - \section \subsection - 10

14 4 L A TEX (2) 4.1 \{} \ { } $ & # ^ _ ~ % 10 \^~\ 4.2 L A TEX L A TEX 2 2 L A TEX \{ { \aa å \l l \dag! \} } \AA Å \L L \ddag? \$ $ \ae æ \o ø \S \pounds \& & \AE Æ \O Ø \P \copyright c \# # \oe œ \ss ß \i ı \TeX TEX \_ \OE Œ \SS SS \j ȷ \LaTeX L A TEX \% % \LaTeXe L A TEX 2ε 4.3 L A TEX NHK NHK YKK YKK This This 3 \{} 3 She is my mother, but I am She is my mother, but I am not her daughter. \textbf{not} her daughter.\\ She is my mother, but I am She is my mother, but I am not her daughter. \textit{not} her daughter. 11

15 She is my brother, but I am \textbf{\textit{not}} her daughter. She is my mother, but I am not her daughter. 3 \textrm This is Roman. \textsf This is San Serif. \texttt This is Typewriter. \textmd This is Mediumface. \textbf This is Boldface. \textit This is Italic. \textsl This is Slanted. \textsc This is Small Caps. 4 \textmc 4 \textmc \textgt \textgt{} 4.4 {\ ()} 5 10 \normalsize 12

16 5 () \tiny \scriptsize \footnotesize \small \normalsize \large \Large \LARGE \huge \Huge {\tiny } {\scriptsize } {\footnotesize } {\small } {\normalsize } {\large } {\Large } {\LARGE } {\huge } {\Huge } \footnote{} *4 4.6 % % % *4 13

17 4.7 Shift + 7 Shift + 2 Bob said, "This B is strange". Bob said, This B is strange. Shift Shift Shift + 2 Bob said, This B is strange. Bob said, This B is strange. 4.8 exercise1.tex 14

18 5 \ \{} \maketitle \textbf{} - - \begin{} \end{} flushleft center flushright 15

19 \begin{flushleft} \\ \end{flushleft} \begin{flushright} \\ \end{flushright} \begin{center} \end{center} 100\% % \begin{flushright} \end{flushright} 5.2 L A TEX itemize enumerate 1, 2, 3, description description 3 \begin{} \item[] \end{} 16

20 itemize \begin{itemize} \item planet \item dwarf planet \begin{itemize} planet \item ex) dwarf planet \end{itemize} ex) \item small solar system bodies small solar system bodies \begin{itemize} \item \begin{itemize} ex) \item ex) \end{itemize} TNO \item \item TNO \item (IAU Resolution 5A) \end{itemize} \end{itemize} (IAU Resolution 5A) description \item \begin{description} \item[unix] \item[fortran] FORTRAN90 \item[] 1 \item[] \item[] \end{description} UNIX FORTRAN FORTRAN

21 5.3 Aki and Richards [2002] A faulting \emph{aki and Richards} [2002] A faulting source is an event associated with an internal source is an event associated with an internal surface, such as slip across a fracture plane. A surface, such as slip across a fracture plane. volume source is an event associated with an A volume source is an event associated with an internal volume, such as a sudden (explosive) internal volume, such as a sudden (explosive) expansion throughout a volumetric source region. We shall find that a unified treatment expansion throughout a volumetric source region. We shall find that a unified treatment of both source type is possible,the common link of both source type is possible,the common being the concept of an internal surface across link being the concept of an internal surface which discontinuities can occur in displacemant across which discontinuities can occur in displacemant (for the faulting source) or in strain (for the faulting source) or in strain (for the volume source). (for the volume source). quote quotation quotation Aki and Richards [2002] \emph{aki and Richards} [2002] \begin{quote} A faulting source is an event associated with A faulting source is an event associated with an internal surface, such as slip an internal surface, such as slip across a across a fracture plane. A volume source fracture plane. A volume source is an event associated () surface across which is an event associated ( ) surface discontinuities can occur in displacemant across which discontinuities can occur in (for the faulting source) or in strain (for the displacemant (for the faulting source) or volume source). \end{quote} in strain (for the volume source). 5.4 L A TEX quote 18

22 Fortran program main implicit none integer ::i do i=1,100 write (*,*) Hello, World! end do Fortran program main implicit none integer ::i do i=1,100 write (*,*) Hello, World! end do stop end program main stop end program main verbatim verbatim L A TEX Fortran Fortran \begin{verbatim} program main implicit none integer ::i program main implicit none integer ::i do i=1,100 write (*,*) Hello, World! end do do i=1,100 end do write (*,*) Hello, World! stop end program main \end{verbatim}. stop end program main \verb + verbatim L A TEX tex tex verbatim /home2/takigawa/exercise/ exercise2.tex exercise2a.pdf pdf pdf itemize enumerate 19

23 6 TEX 6.1 $ $ $a+b$$ab$ a + b ab \[ \] *5 c = a b \[ c=a-b \] \[ c=a-b \] c = a b 6.2 L A TEX 2 $ a + ( - b ) = a - b $ \\ $a+(-b)=a-b$ a + ( b) = a b a + ( b) = a b b L A TEX 7 7 \, \: \; \ \quad 2 \qquad \! *5 $$...$$plaintex 20

24 \[ \int \int f(x,y) dx dy \] \[ \int \!\!\! \int f(x,y) \, dx \, dy \] f(x, y)dxdy f(x, y) dx dy 6.3 ^_ ^{} _{} 2 1 $x^2$2 $x^{22}$\\ $a_2$2 $a_{22}$\\ $x^22$$a_22$ x 2 2 x 22 a 2 2 a 22 x 2 2 a () 8 8 \frac{}{} \sqrt{} sqrt{}{} \int_{}^{} \sum_{}^{} 8 $\frac{1}{2},\sum_{n=1}^{n}, \int_{0}^{1}$ \[ \frac{1}{2},\sum_{n=1}^{n},\int_{0}^{1} \] \displaystyle 1 2, N n=1, N 2, 1, n=1 0 8 a/b 21

25 $\displaystyle \frac{1}{2}, \sum_{n=1}^{n},\int_{0}^{1}$ \\ $a/b$ 1 2, N 1, n=1 0 a/b 6.5 sin x $sinx$ sinx s i n x sin L A TEX 9 9 \arccos arccos \csc csc \ker ker \min min \arcsin arcsin \deg deg \lg lg \Pr Pr \arctan arctan \det det \lim lim \sec sec \arg arg \dim dim \liminf lim inf \sin sin \cos cos \exp exp \limsup lim sup \sinh sinh \cosh cosh \gcd gcd \ln ln \sup sup \cot cot \hom hom \log log \tan tan \coth coth \inf inf \max max \tanh tanh \[ \lim_{x\to 0} \frac{\sin x}{x} = 1 \] sin x lim x 0 x = o(omicron) o() () \alpha α \eta η \nu ν \tau τ \beta β \theta θ \xi ξ \upsilon υ \gamma γ \iota ι o o \phi ϕ \delta δ \kappa κ \pi π \chi χ \epsilon ϵ \lambda λ \rho ρ \psi ψ \zeta ζ \mu µ \sigma σ \omega ω 22

26 11 () \varepsilon ε \varpi ϖ \varsigma ς \vartheta ϑ \varrho ϱ \varphi φ 12 () \Gamma Γ \Lambda Λ \Sigma Σ \Psi Ψ \Delta \Xi Ξ \Upsilon Υ \Omega Ω \Theta Θ \Pi Π \Phi Φ \mathrm{a} \le \pm ± \hbar ħ \leftarrow \ge \mp \Re R \Leftarrow \ll \times \Im I \longleftarrow \gg \div \imath ı \Longleftarrow = \in \ast \jmath ȷ \rightarrow \ni \star \ell l \Rightarrow \neq \cdot \partial \longrightarrow \equiv \circ \infty \Longrightarrow = \sim \bullet \nabla \leftrightarrow \subset \bigcirc \natural \Leftrightarrow \supset \vee \flat \longleftrightarrow \parallel \wedge \sharp \Longleftrightarrow \[ 3 \times (2+5) = 21 \] \[ \frac{1}{2} \times ( \frac{4}{7} - \frac{5}{13} ) \neq \frac{19}{162} \] 3 (2 + 5) = ( )

27 \left{} \right{} \[ \frac{1}{2} \times \left( \frac{4}{7} - \frac{5}{13} \right) = \frac{17}{182} \] ( ) = L A TEX array \begin{array}{} a 1,1 & & a 1,n \\. &... &. \\ a m,1 & & a m,n \end{array} array l c r 24

28 \[ \begin{array}{cc} \cos x & -\sin x \\ \sin x & \cos x \end{array} \] \[ \begin{array}{ll} \cos x & -\sin x \\ \sin x & \cos x \end{array} \] cos x sin x cos x sin x sin x cos x sin x cos x 6.8 \[ \left( \begin{array}{cc} \cos x & -\sin x \\ \sin x & \cos x \end{array} \right) \] ( cos x ) sin x sin x cos x 6.10 AMS-L A TEX L A TEX AMS-L A TEX \usepackage{amsmath} \[ A = \begin{pmatrix} \cos x & -\sin x \\ \sin x & \cos x \end{pmatrix} \] ( ) cos x sin x A = sin x cos x 25

29 {\LaTeX} \[ \int \int f(x,y) dx dy \] \[ \int \!\!\! \int f(x,y) dx dy \] {\AmS-\LaTeX} \[ \iint f(x,y) dx dy \] L A TEX f(x, y)dxdy f(x, y)dxdy AMS-L A TEX f(x, y)dxdy 6.11 /home2/takigawa/exercise/exercise3.tex exercise3a.pdf - sin - - equation - eqnarray *6 *6 AMS-LATEX align 26

30 L A TEX 7.1 tabular \begin{tabular}{} a 1,1 & & a 1,n \\. &... &. \\ a m,1 & & a m,n \end{tabular} array array \begin{tabular}{lll} l & & Left \\ c & & Center \\ r & & Right \end{tabular} \begin{tabular}{ c c c } l & & Left \\ c & & Center \\ r & & Right \end{tabular} 15 l Left c Center r Right l Left c Center r Right 15 \hline \hline\hline \vline \cline{} \multicolumn{}{}{} \hline\hline\hline\vline 27

31 \begin{tabular}{lll}\hline\hline l & & Left \\ \hline l Left c & & Center\vline \\ c Center \hline\hline \end{tabular} \hline r & \vline & Right \\ r Right \vline \cline \begin{tabular}{lll}\hline\hline l & & Left \\ \cline{1-1} l Left c & & Center \\ c Center \hline\hline \end{tabular} \cline{2-3} r & & Right \\ r Right \multcolumn {} \begin{tabular}{ c c c }\hline \multicolumn{3}{ c }{} \\ \hline l & & Left \\ l Left \hline c & & Center \\ c Center \hline r Right r & & Right \\ \hline \end{tabular} \multcolumn {1} \begin{tabular}{ c c c c }\hline \multicolumn{3}{ l }{ } & \\ \cline{2-2} & & \multicolumn{2}{l }{} \\ \cline{4-4} \multicolumn{2}{ l }{} & \multicolumn{2}{l }{} \\ \cline{1-1} \multicolumn{1}{l }{} & & & \\ \cline{3-3} \multicolumn{2}{ l }{} & \multicolumn{2}{l }{} \\ \cline{1-2}\cline{4-4} \end{tabular} 28

32 sin(x) sin(x) () L A TEX gnuplot eps \usepackage[]{graphicx} graphicx dvipdfm *7 \includegraphics[]{} [ ] height= width= sin.eps 50mm 1 sin(x) mm \\ \includegraphics[width=50mm]{sin.eps}\\ $\sin x$ sin x 20mm \\ \includegraphics[height=20mm]{sin.eps}\\ $\sin x$ 20mm sin x \\ \includegraphics[height=20mm,width=50mm] {sin.eps}\\ $\sin x$ sin x *7 platex dvi File dvipdfm.def not found. dvipdfmx 29

33 \verb+degree+ \\ \includegraphics[width=20mm,angle=90.0] {sin.eps}\\ $\sin x$ degree sin x sin(x) L A TEX (float) table figure L A TEX \begin{figure}[] \includegraphics[]{} \caption{} \label{} \end{figure} \begin{table}[] \caption{} \label{} \begin{tabular} () \end{tabular} \end{table} \includegraphics tabular \begin{figure}\end{figure}\begin{tabular}\end{tabular} L A TEX 16 [htbp] 16 h t b p [tbp] 30

34 htbp \caption \caption \label{} *8 \ref{tab:float} \begin{table}[htbp] \begin{center} \caption{} \label{tab:float} \begin{tabular}{ll} () \end{tabular} \end{center} \end{table} \label{tab:float}\ref{tab:float} () \label \ref tab:float hyou \ref{} L A TEX \label{}\caption platex 2 (?? ) aux 7.4 EPS dvipdfm(x) EPS PDFPNGJPEG L A TEX sample.jpg \includegraphics[width=50mm,bb= ]{sample.jpg} TA eps Emacs 6 eps dvipdfm ebb ebb sample.jpg bb L A TEX L A TEX jpgpng bb *8 \begin{center}\centering 31

35 ebb *.{jpg or png} Imagemagick EPS EPS 7.5 /home2/takigawa/exercise/exercise4.tex poincare.eps exercise4.tex - - \label{poincare}\ref{poincare} (\label{chaos}\ref{chaos}) 32

36 8 TEX TEX t \frac{\partial}{\partial t} \def define \def\deln#1{\frac{\partial}{\partial {\mbox{$#1$}}}} \def \deln \deln #1 \deln (nothing) \def\riderkick#1 \\ $\deln{x}$\\ x \def \newcommand 33

37 9 L A TEX Emacs YaTeX 9.1 Emacs YaTeX().emacs less.emacs Emacs L A TEX YaTeX SPC begin Ctrl + C Ctrl + B SPC Begin environment(default document): Enter \begin{document} \end{document} \begin{} \end{} (equation ) Enter (equation E ) Tab section Ctrl + C Ctrl + S (C-v for view-section)???{}(default documentclass): large Ctrl + C Ctrl + L {??? }(default large): Enter {\large } { } \bigskip Ctrl + C SPC Tab : ; α β \frac{\partial \alpha}{\partial\beta} 34

38 ; f Enter, ; 6 Enter, : a Enter, Enter, ; 6 Enter, : b Enter itemizeenumerate,description \item \item[*] Esc + Enter *9 \item L A TEX Ctrl + C Ctrl + T J)latex R)egion E)nv B)ibtex mk(i)dx latex+p(d)f K)ill P)review V)iewErr L)pr J LA TEX P xdvi D pdf 9.2 Windows Max OS X Emacs+YaTeX Windows GNU Emacs xyzzy KaTeX( ) Emacs+YaTeX kamei/ Mac OS X UNIX OS Emacs Cygwin MSYS2 UNIX Windows GNU Emacs 9.3 L A TEX Emacs+YaTeX Emacs L A TEX GUI () * 10 Emacs+YaTeX TeXStudio Lyx Lyx Word L A TEX *9 Alt + Enter *10 GUI() Xcode Visual Studio,Eclipse 35

39 10 /home2/takigawa/homework/homework.pdf TEX gnuplot ( ) /home2/takigawa/homework/ s (/s1726?? * 11 ).tex PDF 4 25 ()23:59(JST) (takigawa@atmos.rcast.u-tokyo.ac.jp) *11?? 2 36

40 A tex (210 edu utf-8 ) platex dvi A.1 Emacs 2.4 Ctrl + x Enter f UTF-8 Emacs EUC-JP.emacs Emacs.emacs ;; YaTeX-mode (setq auto-mode-alist (cons (cons "\\.tex$" yatex-mode) auto-mode-alist)) (setq dvi2-command "xdvi" tex-command "platex" dviprint-command-format "dvips %s -o!lpr -Pionia" YaTeX-kanji-code 3) YaTeX-kanji-code 3 YaTeX EUC-JP YaTeX-kanji-code 4 ;; YaTeX-mode (setq auto-mode-alist (cons (cons "\\.tex$" yatex-mode) auto-mode-alist)) (setq dvi2-command "xdvi" tex-command "platex" dviprint-command-format "dvips %s -o!lpr -Pionia" YaTeX-kanji-code 4) YaTeX UTF-8 Ctrl + x Enter r Emacs UTF-8 utf-8 yes.emacs 37

41 (set-default-coding-systems (set-terminal-coding-system (set-keyboard-coding-system utf-8) utf-8) utf-8) (set-buffer-file-coding-system utf-8) (set-clipboard-coding-system utf-8) (setq default-enable-multibyte-characters t) A.2 echo $LANG ja_jp.euc-jp EUC-JP ja_jp.utf8 UTF-8 UTF-8 export LANG=ja JP.utf8 EUC-JP.bashrc export LANG=ja_JP.EUC-JP LANG.bashrc EUC-JP # #export LANG=ja_JP.EUC-JP export LANG=ja_JP.utf8 UTF-8 source.bashrc 38

L A TEX ver 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/sampl

L A TEX ver 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/sampl 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

More information

1.2 L A TEX 2ε Unicode L A TEX 2ε L A TEX 2ε Windows, Linux, Macintosh L A TEX 2ε 1.3 L A TEX 2ε L A TEX 2ε 1. L A TEX 2ε 2. L A TEX 2ε L A TEX 2ε WYS

1.2 L A TEX 2ε Unicode L A TEX 2ε L A TEX 2ε Windows, Linux, Macintosh L A TEX 2ε 1.3 L A TEX 2ε L A TEX 2ε 1. L A TEX 2ε 2. L A TEX 2ε L A TEX 2ε WYS L A TEX 2ε 16 10 7 1 L A TEX 2ε L A TEX 2ε TEX Stanford Donald E. Knuth 1.1 1.1.1 Windows, Linux, Macintosh OS Adobe Acrobat Reader Adobe Acrobat Reader PDF 1.1.2 1 1.2 L A TEX 2ε Unicode L A TEX 2ε L

More information

1 L A TEX L A TEX L A TEX 2 L A TEX 2 L A TEX L A TEX L A TEX Word L A TEX L A TEX L A TEX L A TEX 2.1 L A TEX 1 L A TEX 2

1 L A TEX L A TEX L A TEX 2 L A TEX 2 L A TEX L A TEX L A TEX Word L A TEX L A TEX L A TEX L A TEX 2.1 L A TEX 1 L A TEX 2 L A TEX dareka@dokoka.org 2005 9 2 1 2 2 L A TEX 2 2.1................................. 2 2.2 L A TEX..................................... 4 3 L A TEX 4 3.1............................. 4 3.2......................

More information

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

More information

r6.dvi

r6.dvi 14 1 WYSIWYG/ 2014.5.27 1 WYSIWYG/ (LaTeX HTML+CSS ) 2 Web 3 ( GUI) 4 Web (1) 5 Web (2) 1 1.1 ( ) ( ) 1 1: / ( 1) ( ) ( ) 1 1 ( 2) / (text editor) Emacs Windows Mac OS X Unix ( ) (script) 2: 1.2??? 1 (

More information

L A TEX? Word Word Word Word WYSIWYG T E X by Donald Knuth L A T E X by Leslie Lamport L A T E X 2ε L A T E X 2ε, pt E X, pl A T E X LATEX p.2/27

L A TEX? Word Word Word Word WYSIWYG T E X by Donald Knuth L A T E X by Leslie Lamport L A T E X 2ε L A T E X 2ε, pt E X, pl A T E X LATEX p.2/27 L A TEX 2007 2007 10 5 ( ) 338 8570 255 Tel: 048 858 3577, Fax : 048 858 3716 Email: tohru@mail.saitama-u.ac.jp URL: http://www.nls.ics.saitama-u.ac.jp/ tohru/ LATEX p.1/27 L A TEX? Word Word Word Word

More information

電気通信大学 コンピュータリテラシー 文書整形 --- LaTeX ---

電気通信大学 コンピュータリテラシー 文書整形 --- LaTeX --- 1 L A TEX B5 1. LaTeX ( ) : 1 3 2. LaTeX ( ) : 4 7 3. LaTeX (,, EPS ) : 8 10 4. LaTeX ( ) : 11 textlatex.pdf : tiny.tex, tiny.pdf : 1 small.tex, small.pdf : 2 normal.tex, normal.pdf : f1.eps : normal.tex

More information

r6.dvi

r6.dvi 13 1 WYSIWYG/ 2013.5.21 1 WYSIWYG/ (LaTeX HTML+CSS ) 2 Web 3 ( GUI) 4 Web (1) 5 Web (2) 1 1.1 ( ) ( ) 1 1: / ( 1) ( ) ( ) 1 1 ( 2) / (text editor) Emacs Windows Mac OS X Unix ( ) (script) 2: 1.2??? 1 (

More information

基礎数学I

基礎数学I I & II ii ii........... 22................. 25 12............... 28.................. 28.................... 31............. 32.................. 34 3 1 9.................... 1....................... 1............

More information

4.4... 17 4.5... 18 4.6... 18 4.7 sin log lim... 18 5 19 6 20 6.1... 20 6.2... 21 7 22 7.1... 22 7.2... 23 8 Deutsch 24 9 24 1 Hello, TEX World! 1.1 T

4.4... 17 4.5... 18 4.6... 18 4.7 sin log lim... 18 5 19 6 20 6.1... 20 6.2... 21 7 22 7.1... 22 7.2... 23 8 Deutsch 24 9 24 1 Hello, TEX World! 1.1 T -platex2 by MiYaGG 1 Hello, TEX World! 2 1.1 TEX... 2 1.2 pl A TEX2... 3 1.3 TEX... 4 1.4 TEX... 4 1.5 To err is human......... 6 1.6 UNIX... 6 2 7 2.1... 7 2.2... 8 2.3... 8 2.4... 9 2.5... 10 2.6...

More information

tex03final1.dvi

tex03final1.dvi 2002 3 L A TEX 2002 4 20 : TEX dvi PDF mikilab 1 L A TEX 1.1 Table 1.1 Table 1 1 1400 1 1700 Fig. 1 \begin{tabular}{ ()}. Fig. 2 tabular Table 2 tabular l c r \begin{center} \begin{tabular}{lcr} & & \\

More information

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

More information

1.5,. ( A, 7, * ) Emacs,., <Return>., <Delete>. <Delete>, Delete. <Delete>,. 1.6,.,, Emacs.,. ( ), ( ),,. C-x,., Emacs.,. C-x C-f ( )... C-x C-s. Emac

1.5,. ( A, 7, * ) Emacs,., <Return>., <Delete>. <Delete>, Delete. <Delete>,. 1.6,.,, Emacs.,. ( ), ( ),,. C-x,., Emacs.,. C-x C-f ( )... C-x C-s. Emac L A TEX 1 1.1 Emacs Emacs, (, CTRL, CTL ) (, )., CONTROL META,. C-< >, < >., C-f, f. ESC < >, < >. < >,. Emacs, C-x C-c.,. C-v. ESC v. 1.2., (previous) (next) (forward) (backward)., C-p, C-n, C-f, C-b,.

More information

visit.dvi

visit.dvi L A TEX 1 L A TEX 1.1 L A TEX,. L A TEX,. ( Emacs). \documentclass{jarticle} \begin{document} Hello!!, \LaTeX Hello!!, L A TEX L A TEX2ε. \LaTeXe. \end{document},. \, L A TEX. L A TEX. \LaTeX L A TEX..

More information

L A TEX Copyright c KAKEHI Katsuhiko All Rights Reserved 1 L A TEX \documentstyle[< >]{jarticle} \title{< >} \author{< >} \date{< >} < > \be

L A TEX Copyright c KAKEHI Katsuhiko All Rights Reserved 1 L A TEX \documentstyle[< >]{jarticle} \title{< >} \author{< >} \date{< >} < > \be L A TEX Copyright c KAKEHI Katsuhiko 1996-1998 All Rights Reserved 1 L A TEX \documentstyle[< >]{jarticle} \title{} \author{< >} \date{} \begin{document} \end{document} article jarticle report jreport

More information

semi10.dvi

semi10.dvi TEX 2001 4 9 4 1 TEX 2 1.1 TEX.................................................. 2 1.2 L A TEX................................................ 2 1.2.1............................................. 2 1.2.2.............................................

More information

DVIOUT-マスタ-

DVIOUT-マスタ- L A TEX T.T TEX TEX 1 TEX TEX Donald E. Knuth tex 2 L A TEX TEX LATEX( DEC Leslie Lamport TEX TEX 3 L A TEX 3.1 L A TEX documentclass[]{} begin{document} end{document} LATEX 3.1.1 documentclass[a4paper,twocolumn,11pt]{jarticle}

More information

cpall.dvi

cpall.dvi 137 A L A TEX LATEX 1 TEX 2 (American Mathematical Society) L A TEX L. Lamport, L A TEX: a Document Preparation System, Addison Wesley (1986). Edgar Cooke, L A TEX (1990). LATEX2 ε (2003). LATEX A.1 L

More information

Microsoft PowerPoint - 第13回 TeX 1日目.ppt [互換モード]

Microsoft PowerPoint - 第13回 TeX 1日目.ppt [互換モード] 平成 21 年度情報リテラシー 担当 : 木下浩二 (4 号館 404) kinoshita@cs.ehime-u.ac.jp http://ipr20.cs.ehime-u.ac.jp/~kinoshita/literacy/ 準備 リテラシ用のディレクトリ内に, 新たなディレクトリ tex を作成 HP からファイル tex.tar.gz をダウンロードして, 作成したディレクトリに保存 解凍

More information

PowerPoint プレゼンテーション

PowerPoint プレゼンテーション 秋学期情報スキル応用 田中基彦教授, 樫村京一郎講師 ( 工学部 共通教育科 ) DTP の基礎 (2) 1. 日本語の入力法 2. 数式, グラフィック, テーブル - 数式 のみは理数系 3. 相互参照, 目次, 文献参照 - あの項目はどこにある? * 提出問題 5 DTP について 提出問題 5 LaTeX 言語を用いる DTP (DeskTop Publishing) について, つぎの各問に答えなさい

More information

1.3 I Tab Tab Tab 1 :~$ cd De # T a b 2 :~$ cd Desktop # E n t e r 3 debian :~/ Desktop$ 2 Tab to Tab 1

1.3 I Tab Tab Tab 1 :~$ cd De # T a b 2 :~$ cd Desktop # E n t e r 3 debian :~/ Desktop$ 2 Tab to Tab 1 I 2 I 2018 2 1 MathLibre USB 1.1 Ricty Diminished O 0 1 $ wget http :// math. shinshu -u.ac.jp /~ isasaki / classes /2018 dp1 / files / instfonts.sh 2 $ chmod + x instfonts. sh 3 $./ instfonts. sh 1 $

More information

1 1 1...................... 1 2 6 1.................. 6 2...................... 8 3 9 1........................ 9 2........................ 12 4 15 1...... 15 2........................... 18 3..........................

More information

tex02.dvi

tex02.dvi 2002 2 L A TEX 2002 4 15 : L A TEX EPS EPS 1 L A TEX L A TEX L A TEX L A TEX 1.1 L A TEX 1.1.1 L A TEX TEX.tex.tex.tex 1.1.2 TEX 1. TEX L A TEX Y TEX L A TEX Y (@ ) TEX L A TEX 2. 1 YTeX YTeX ( ) 3. 2

More information

2 (2) WinShell 2 (3) WinShell L A TEX ( ) ( ) 2 1 L A TEX.tex L A TEX WinShell (4) WinShell 2 L A TEX L A TEX DVI DeVice Independent (5) WinShell 2 DV

2 (2) WinShell 2 (3) WinShell L A TEX ( ) ( ) 2 1 L A TEX.tex L A TEX WinShell (4) WinShell 2 L A TEX L A TEX DVI DeVice Independent (5) WinShell 2 DV 1 L A TEX 2014 1 L A TEX [ 1 ] 1 : L A TEX 1.1 L A TEX L A TEX ( ) L A TEX L A TEX ( ) ( ) L A TEX \ \ Windows Y= \ Windows Y= 1.2 L A TEX WinShell Windows L A TEX WinShell Windows L A TEX WinShell L A

More information

web04.dvi

web04.dvi 4 MATLAB 1 visualization MATLAB 2 Octave gnuplot Octave copyright c 2004 Tatsuya Kitamura / All rights reserved. 35 4 4.1 1 1 y =2x x 5 5 x y plot 4.1 Figure No. 1 figure window >> x=-5:5;ψ >> y=2*x;ψ

More information

PowerPoint Presentation

PowerPoint Presentation 平成 25 年度 情報リテラシー 担当 : 一色正晴 (4 号館 405) isshiki@cs.ehime-u.ac.jp http://ipr20.cs.ehime-u.ac.jp/~isshiki/literacy/ 準備 リテラシ用のディレクトリ内に, 新たなディレクトリ tex を作成 HP からファイル tex.tar.gz をダウンロードして, 作成したディレクトリに保存 解凍 展開

More information

MediaWiki for Kisorigaku

MediaWiki for Kisorigaku MediaWiki for Kisorigaku 22 10 1 1 Kisorigaku 5 1.1... 6... 6... 6 2 MediaWiki 7 2.1... 8... 8... 8... 8 2.2... 9... 9... 10... 10... 10..................................... 11 3 13 3.1... 14... 14...

More information

2 TEX, TEX Donald Knuth 2 3 ( ) TEX ( ) , WWW 4 TEX (.tex,.dvi,.ps,.pdf ) 3 TEX ( ) ( ) 5 (.tex Windows, Mac, Unix, MS-DOS TEX TEX ( ) & METAFON

2 TEX, TEX Donald Knuth 2 3 ( ) TEX ( )  , WWW 4 TEX (.tex,.dvi,.ps,.pdf ) 3 TEX ( ) ( ) 5 (.tex Windows, Mac, Unix, MS-DOS TEX TEX ( ) & METAFON II 8 (1) TEX 2002 6 13 DTP TEX PDF 1 UNIX TEX TEX.cshrc 1.cshrc set path=(/usr/meiji/pub/lib/tetex/bin $path) TEX http://www.isc.meiji.ac.jp/~ae00050/ ( WWW myreport.tex (dvi ) isc-xas06% platex myreport.tex

More information

Chapter 1 latex latex divout for windouws,texmaker,beamer latex 2012/2/2 2

Chapter 1 latex latex divout for windouws,texmaker,beamer latex 2012/2/2 2 Contents 1 2 2 latex 3 2.1 latex..................... 3 3 divout 4 3.1 divout for windouws.................... 4 3.2 divout for windows pdf................ 4 4 Texmaker 5 4.1 texmaker.............................

More information

semi4.dvi

semi4.dvi 1 2 1.1................................................. 2 1.2................................................ 3 1.3...................................................... 3 1.3.1.............................................

More information

JSIAM URL TEX Web jsjsiam.cls jsiammacrover

JSIAM URL   TEX Web jsjsiam.cls jsiammacrover TeX. 200. How to use the TEX class files for the Transaction of the Japan Society for Industrial and Applied Mathematics Taro Ouyou Hanako Suzuki Jirou Nihon Saburou Yamada Harumi Ouyou Nihon Suuri University

More information

: , 2.0, 3.0, 2.0, (%) ( 2.

: , 2.0, 3.0, 2.0, (%) ( 2. 2017 1 2 1.1...................................... 2 1.2......................................... 4 1.3........................................... 10 1.4................................. 14 1.5..........................................

More information

微分積分 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 初版 1 刷発行時のものです.

微分積分 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます.   このサンプルページの内容は, 初版 1 刷発行時のものです. 微分積分 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. ttp://www.morikita.co.jp/books/mid/00571 このサンプルページの内容は, 初版 1 刷発行時のものです. i ii 014 10 iii [note] 1 3 iv 4 5 3 6 4 x 0 sin x x 1 5 6 z = f(x, y) 1 y = f(x)

More information

1 L A TEX

1 L A TEX L A TEX ( ) 2011 11 4 L A TEX 2007 4 4 2007 2007 9 4 2007 2007 9 18 2009 9 9 2009 2011 9 4 2011 2011 11 4 (A,B) http://osksn2.hep.sci.osaka-u.ac.jp/ taku/kakenhilatex/ http://jelt.mtk.nao.ac.jp/ iye/kakenhilatex/

More information

L A L A TEX UTF-8 Makefile \begin{jabstract} \end{jabstract} \begin{eabstract} \end{eabstract} main.tex L A TEX i

L A L A TEX UTF-8 Makefile \begin{jabstract} \end{jabstract} \begin{eabstract} \end{eabstract} main.tex L A TEX i 2012 24 L A TEX 2013 1 2012 24 L A TEX @kurokobo L A TEX UTF-8 Makefile \begin{jabstract} \end{jabstract} \begin{eabstract} \end{eabstract} main.tex L A TEX i Abstract Of Master s Thesis Academic Year

More information

2012 24 L A TEX 2013 1 2012 24 L A TEX @kurokobo L A TEX UTF-8 Makefile \begin{jabstract} \end{jabstract} \begin{eabstract} \end{eabstract} main.tex L A TEX i Abstract Of Master s Thesis Academic Year

More information

b3e2003.dvi

b3e2003.dvi 15 II 5 5.1 (1) p, q p = (x + 2y, xy, 1), q = (x 2 + 3y 2, xyz, ) (i) p rotq (ii) p gradq D (2) a, b rot(a b) div [11, p.75] (3) (i) f f grad f = 1 2 grad( f 2) (ii) f f gradf 1 2 grad ( f 2) rotf 5.2

More information

基礎から学ぶトラヒック理論 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 初版 1 刷発行時のものです.

基礎から学ぶトラヒック理論 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます.   このサンプルページの内容は, 初版 1 刷発行時のものです. 基礎から学ぶトラヒック理論 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. http://www.morikita.co.jp/books/mid/085221 このサンプルページの内容は, 初版 1 刷発行時のものです. i +α 3 1 2 4 5 1 2 ii 3 4 5 6 7 8 9 9.3 2014 6 iii 1 1 2 5 2.1 5 2.2 7

More information

コンピュータ基礎 5. マークアップによるレポート作成

コンピュータ基礎 5. マークアップによるレポート作成 5. Chris Plaintail December 13, 2016 1 / 70 1 L A TEX L A TEX 2 L A TEX 3 4 L A TEXbeamer 2 / 70 L A TEX 3 / 70 PDF 4 / 70 HTML(Hyper Text Markup Language) XML(eXtensible Markup Language) XHTML, SVG, SMIL,

More information

LATEX

LATEX LATEX 2018 5 16 i 1 1 1.1 L A TEX?... 1 1.2 L A TEX?... 2 2 L A TEX 3 2.1... 3 2.2... 3 2.3... 4 2.4... 6 2.5... 7 3 ( ) 8 3.1... 8 3.2... 8 4 9 4.1... 9 4.2... 11 4.3... 11 4.4... 12 5 13 5.1 BiBTeX...

More information

I

I I 6 4 10 1 1 1.1............... 1 1................ 1 1.3.................... 1.4............... 1.4.1.............. 1.4................. 1.4.3........... 3 1.4.4.. 3 1.5.......... 3 1.5.1..............

More information

TEX 6.2. EQUATIONS Y=[ Y=] equation y = ax + b y = ax + b (6.1) Y=[ Y=] Y=nonumber eqnarray 3 2 eqnarray equation Y=Y= eqnarray y = ax + b (6.2) y = x

TEX 6.2. EQUATIONS Y=[ Y=] equation y = ax + b y = ax + b (6.1) Y=[ Y=] Y=nonumber eqnarray 3 2 eqnarray equation Y=Y= eqnarray y = ax + b (6.2) y = x 6 ArkOak TEX L A TEX2e 2015 11 4 6.1 making title 6.2 Equations 6.2.1 y = ax + b $ $ x x $ 6.2.2 Y=[ Y=] equation 1 TEX 6.2. EQUATIONS Y=[ Y=] equation y = ax + b y = ax + b (6.1) Y=[ Y=] Y=nonumber eqnarray

More information

LaTeX実践講座 - これから TeXを使って文書を書きまくる人のために

LaTeX実践講座 - これから TeXを使って文書を書きまくる人のために L A T E X T E X 2 2016 7 29 ( ) ITPASS @ 3 508 1 2 3 L A T E X Tips 4 Beamer Emacs T E X YaTeX 5 1 2 3 L A T E X Tips 4 Beamer Emacs T E X YaTeX 5 T E X T E X T E X L A T E X,, , T E X, 1,... T E X 1 2

More information

数学の基礎訓練I

数学の基礎訓練I I 9 6 13 1 1 1.1............... 1 1................ 1 1.3.................... 1.4............... 1.4.1.............. 1.4................. 3 1.4.3........... 3 1.4.4.. 3 1.5.......... 3 1.5.1..............

More information

II A A441 : October 02, 2014 Version : Kawahira, Tomoki TA (Kondo, Hirotaka )

II A A441 : October 02, 2014 Version : Kawahira, Tomoki TA (Kondo, Hirotaka ) II 214-1 : October 2, 214 Version : 1.1 Kawahira, Tomoki TA (Kondo, Hirotaka ) http://www.math.nagoya-u.ac.jp/~kawahira/courses/14w-biseki.html pdf 1 2 1 9 1 16 1 23 1 3 11 6 11 13 11 2 11 27 12 4 12 11

More information

プレゼン資料 - MathML

プレゼン資料 - MathML MathML2006.03 MathML MathML2006.03-0.1 MathML 2 URL http://www.hinet.mydns.jp/~hiraku/presentation/?mathml2006.03 MathML2006.03-0.2 1. 1. Web MathML 2. MathML 3. CMS Wiki 2. CMS + MathML = 1. tdiary Hiki

More information

1 1.1 1.2 1.3 (a) WYSIWYG (What you see is what you get.) (b) (c) Hyper Text Markup Language: SGML (Standard Generalized Markup Language) HTML (d) TEX

1 1.1 1.2 1.3 (a) WYSIWYG (What you see is what you get.) (b) (c) Hyper Text Markup Language: SGML (Standard Generalized Markup Language) HTML (d) TEX L A TEX HTML 2000 7 2 ([-30]5051.49) 1 2 1.1.............................................. 2 1.2.............................................. 2 1.3................................................ 2 1.4.............................................

More information

sarutex.dvi

sarutex.dvi LATEX L A TEX which monkeys cannot use. LATEX Ver2.0 SaRuTEX LATEX LATEX L A TEX L A TEX LATEX LATEX L A TEX LATEX L A TEX PAW PAW ROOT ROOT LATEX L A TEX LATEX LATEX 2001 3 S a RuTEX ( 1 ) i LATEX Ver1.1

More information

I A A441 : April 21, 2014 Version : Kawahira, Tomoki TA (Kondo, Hirotaka ) Google

I A A441 : April 21, 2014 Version : Kawahira, Tomoki TA (Kondo, Hirotaka ) Google I4 - : April, 4 Version :. Kwhir, Tomoki TA (Kondo, Hirotk) Google http://www.mth.ngoy-u.c.jp/~kwhir/courses/4s-biseki.html pdf 4 4 4 4 8 e 5 5 9 etc. 5 6 6 6 9 n etc. 6 6 6 3 6 3 7 7 etc 7 4 7 7 8 5 59

More information

1. A0 A B A0 A : A1,...,A5 B : B1,...,B

1. A0 A B A0 A : A1,...,A5 B : B1,...,B 1. A0 A B A0 A : A1,...,A5 B : B1,...,B12 2. 3. 4. 5. A0 A, B Z Z m, n Z m n m, n A m, n B m=n (1) A, B (2) A B = A B = Z/ π : Z Z/ (3) A B Z/ (4) Z/ A, B (5) f : Z Z f(n) = n f = g π g : Z/ Z A, B (6)

More information

Year 2010 Graduation Thesis A LATEX Template for Graduation Thesis Keio University Faculty of Environment and Information Studies Fusuke Hogeyama Advi

Year 2010 Graduation Thesis A LATEX Template for Graduation Thesis Keio University Faculty of Environment and Information Studies Fusuke Hogeyama Advi 22 L A TEX Year 2010 Graduation Thesis A LATEX Template for Graduation Thesis Keio University Faculty of Environment and Information Studies Fusuke Hogeyama Advisor: Professor Hogeta Bahnaka 2010 22 L

More information

( ; ) C. H. Scholz, The Mechanics of Earthquakes and Faulting : - ( ) σ = σ t sin 2π(r a) λ dσ d(r a) =

( ; ) C. H. Scholz, The Mechanics of Earthquakes and Faulting : - ( ) σ = σ t sin 2π(r a) λ dσ d(r a) = 1 9 8 1 1 1 ; 1 11 16 C. H. Scholz, The Mechanics of Earthquakes and Faulting 1. 1.1 1.1.1 : - σ = σ t sin πr a λ dσ dr a = E a = π λ σ πr a t cos λ 1 r a/λ 1 cos 1 E: σ t = Eλ πa a λ E/π γ : λ/ 3 γ =

More information

211 kotaro@math.titech.ac.jp 1 R *1 n n R n *2 R n = {(x 1,..., x n ) x 1,..., x n R}. R R 2 R 3 R n R n R n D D R n *3 ) (x 1,..., x n ) f(x 1,..., x n ) f D *4 n 2 n = 1 ( ) 1 f D R n f : D R 1.1. (x,

More information

readme.dvi

readme.dvi Vol. 34, No. 1 (2005), 1 15 L A TEX jjas.cls pl A TEX2ε jjas.cls http://www.applstat.gr.jp/ L A TEX L A TEX 1. 2 3 4 2. template.tex 2.1. \documentclass[mentuke]{jjas} \usepackage{graphicx} \usepackage[varg]{txfonts}

More information

確率論と統計学の資料

確率論と統計学の資料 5 June 015 ii........................ 1 1 1.1...................... 1 1........................... 3 1.3... 4 6.1........................... 6................... 7 ii ii.3.................. 8.4..........................

More information

() x + y + y + x dy dx = 0 () dy + xy = x dx y + x y ( 5) ( s55906) 0.7. (). 5 (). ( 6) ( s6590) 0.8 m n. 0.9 n n A. ( 6) ( s6590) f A (λ) = det(a λi)

() x + y + y + x dy dx = 0 () dy + xy = x dx y + x y ( 5) ( s55906) 0.7. (). 5 (). ( 6) ( s6590) 0.8 m n. 0.9 n n A. ( 6) ( s6590) f A (λ) = det(a λi) 0. A A = 4 IC () det A () A () x + y + z = x y z X Y Z = A x y z ( 5) ( s5590) 0. a + b + c b c () a a + b + c c a b a + b + c 0 a b c () a 0 c b b c 0 a c b a 0 0. A A = 7 5 4 5 0 ( 5) ( s5590) () A ()

More information

( ) sin 1 x, cos 1 x, tan 1 x sin x, cos x, tan x, arcsin x, arccos x, arctan x. π 2 sin 1 x π 2, 0 cos 1 x π, π 2 < tan 1 x < π 2 1 (1) (

( ) sin 1 x, cos 1 x, tan 1 x sin x, cos x, tan x, arcsin x, arccos x, arctan x. π 2 sin 1 x π 2, 0 cos 1 x π, π 2 < tan 1 x < π 2 1 (1) ( 6 20 ( ) sin, cos, tan sin, cos, tan, arcsin, arccos, arctan. π 2 sin π 2, 0 cos π, π 2 < tan < π 2 () ( 2 2 lim 2 ( 2 ) ) 2 = 3 sin (2) lim 5 0 = 2 2 0 0 2 2 3 3 4 5 5 2 5 6 3 5 7 4 5 8 4 9 3 4 a 3 b

More information

Note.tex 2008/09/19( )

Note.tex 2008/09/19( ) 1 20 9 19 2 1 5 1.1........................ 5 1.2............................. 8 2 9 2.1............................. 9 2.2.............................. 10 3 13 3.1.............................. 13 3.2..................................

More information

医系の統計入門第 2 版 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 第 2 版 1 刷発行時のものです.

医系の統計入門第 2 版 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます.   このサンプルページの内容は, 第 2 版 1 刷発行時のものです. 医系の統計入門第 2 版 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. http://www.morikita.co.jp/books/mid/009192 このサンプルページの内容は, 第 2 版 1 刷発行時のものです. i 2 t 1. 2. 3 2 3. 6 4. 7 5. n 2 ν 6. 2 7. 2003 ii 2 2013 10 iii 1987

More information

,. Black-Scholes u t t, x c u 0 t, x x u t t, x c u t, x x u t t, x + σ x u t, x + rx ut, x rux, t 0 x x,,.,. Step 3, 7,,, Step 6., Step 4,. Step 5,,.

,. Black-Scholes u t t, x c u 0 t, x x u t t, x c u t, x x u t t, x + σ x u t, x + rx ut, x rux, t 0 x x,,.,. Step 3, 7,,, Step 6., Step 4,. Step 5,,. 9 α ν β Ξ ξ Γ γ o δ Π π ε ρ ζ Σ σ η τ Θ θ Υ υ ι Φ φ κ χ Λ λ Ψ ψ µ Ω ω Def, Prop, Th, Lem, Note, Remark, Ex,, Proof, R, N, Q, C [a, b {x R : a x b} : a, b {x R : a < x < b} : [a, b {x R : a x < b} : a,

More information

I A A441 : April 15, 2013 Version : 1.1 I Kawahira, Tomoki TA (Shigehiro, Yoshida )

I A A441 : April 15, 2013 Version : 1.1 I   Kawahira, Tomoki TA (Shigehiro, Yoshida ) I013 00-1 : April 15, 013 Version : 1.1 I Kawahira, Tomoki TA (Shigehiro, Yoshida) http://www.math.nagoya-u.ac.jp/~kawahira/courses/13s-tenbou.html pdf * 4 15 4 5 13 e πi = 1 5 0 5 7 3 4 6 3 6 10 6 17

More information

LLG-R8.Nisus.pdf

LLG-R8.Nisus.pdf d M d t = γ M H + α M d M d t M γ [ 1/ ( Oe sec) ] α γ γ = gµ B h g g µ B h / π γ g = γ = 1.76 10 [ 7 1/ ( Oe sec) ] α α = λ γ λ λ λ α γ α α H α = γ H ω ω H α α H K K H K / M 1 1 > 0 α 1 M > 0 γ α γ =

More information

5 36 5................................................... 36 5................................................... 36 5.3..............................

5 36 5................................................... 36 5................................................... 36 5.3.............................. 9 8 3............................................. 3.......................................... 4.3............................................ 4 5 3 6 3..................................................

More information

(iii) 0 V, x V, x + 0 = x. 0. (iv) x V, y V, x + y = 0., y x, y = x. (v) 1x = x. (vii) (α + β)x = αx + βx. (viii) (αβ)x = α(βx)., V, C.,,., (1)

(iii) 0 V, x V, x + 0 = x. 0. (iv) x V, y V, x + y = 0., y x, y = x. (v) 1x = x. (vii) (α + β)x = αx + βx. (viii) (αβ)x = α(βx)., V, C.,,., (1) 1. 1.1...,. 1.1.1 V, V x, y, x y x + y x + y V,, V x α, αx αx V,, (i) (viii) : x, y, z V, α, β C, (i) x + y = y + x. (ii) (x + y) + z = x + (y + z). 1 (iii) 0 V, x V, x + 0 = x. 0. (iv) x V, y V, x + y

More information

量子力学 問題

量子力学 問題 3 : 203 : 0. H = 0 0 2 6 0 () = 6, 2 = 2, 3 = 3 3 H 6 2 3 ϵ,2,3 (2) ψ = (, 2, 3 ) ψ Hψ H (3) P i = i i P P 2 = P 2 P 3 = P 3 P = O, P 2 i = P i (4) P + P 2 + P 3 = E 3 (5) i ϵ ip i H 0 0 (6) R = 0 0 [H,

More information

I, II 1, A = A 4 : 6 = max{ A, } A A 10 10%

I, II 1, A = A 4 : 6 = max{ A, } A A 10 10% 1 2006.4.17. A 3-312 tel: 092-726-4774, e-mail: hara@math.kyushu-u.ac.jp, http://www.math.kyushu-u.ac.jp/ hara/lectures/lectures-j.html Office hours: B A I ɛ-δ ɛ-δ 1. 2. A 1. 1. 2. 3. 4. 5. 2. ɛ-δ 1. ɛ-n

More information

2011-10-22 16:50 17:40 2011-10-23 ptex CIO 20 1991 1994 1997 2000 2004 2007 2010 TEX 1986 1987 1987 ASCII TEX MicroTEX 98,000 34,000 1990 ptex ptexst C 1991 2003 LATEX 1991 min10 1993 JIS X 4051 LATEX

More information

meiji_resume_1.PDF

meiji_resume_1.PDF β β β (q 1,q,..., q n ; p 1, p,..., p n ) H(q 1,q,..., q n ; p 1, p,..., p n ) Hψ = εψ ε k = k +1/ ε k = k(k 1) (x, y, z; p x, p y, p z ) (r; p r ), (θ; p θ ), (ϕ; p ϕ ) ε k = 1/ k p i dq i E total = E

More information

( ) 2002 1 1 1 1.1....................................... 1 1.1.1................................. 1 1.1.2................................. 1 1.1.3................... 3 1.1.4......................................

More information

1 1.1 ( ). z = a + bi, a, b R 0 a, b 0 a 2 + b 2 0 z = a + bi = ( ) a 2 + b 2 a a 2 + b + b 2 a 2 + b i 2 r = a 2 + b 2 θ cos θ = a a 2 + b 2, sin θ =

1 1.1 ( ). z = a + bi, a, b R 0 a, b 0 a 2 + b 2 0 z = a + bi = ( ) a 2 + b 2 a a 2 + b + b 2 a 2 + b i 2 r = a 2 + b 2 θ cos θ = a a 2 + b 2, sin θ = 1 1.1 ( ). z = + bi,, b R 0, b 0 2 + b 2 0 z = + bi = ( ) 2 + b 2 2 + b + b 2 2 + b i 2 r = 2 + b 2 θ cos θ = 2 + b 2, sin θ = b 2 + b 2 2π z = r(cos θ + i sin θ) 1.2 (, ). 1. < 2. > 3. ±,, 1.3 ( ). A

More information

No δs δs = r + δr r = δr (3) δs δs = r r = δr + u(r + δr, t) u(r, t) (4) δr = (δx, δy, δz) u i (r + δr, t) u i (r, t) = u i x j δx j (5) δs 2

No δs δs = r + δr r = δr (3) δs δs = r r = δr + u(r + δr, t) u(r, t) (4) δr = (δx, δy, δz) u i (r + δr, t) u i (r, t) = u i x j δx j (5) δs 2 No.2 1 2 2 δs δs = r + δr r = δr (3) δs δs = r r = δr + u(r + δr, t) u(r, t) (4) δr = (δx, δy, δz) u i (r + δr, t) u i (r, t) = u i δx j (5) δs 2 = δx i δx i + 2 u i δx i δx j = δs 2 + 2s ij δx i δx j

More information

( ) ± = 2018

( ) ± = 2018 30 ( 3 ) ( ) 2018 ( ) ± = 2018 (PDF ), PDF PDF. PDF, ( ), ( ),,,,., PDF,,. , 7., 14 (SSH).,,,.,,,.,., 1.. 2.,,. 3.,,. 4...,, 14 16, 17 21, 22 26, 27( ), 28 32 SSH,,,, ( 7 9 ), ( 14 16 SSH ), ( 17 21, 22

More information

0.,,., m Euclid m m. 2.., M., M R 2 ψ. ψ,, R 2 M.,, (x 1 (),, x m ()) R m. 2 M, R f. M (x 1,, x m ), f (x 1,, x m ) f(x 1,, x m ). f ( ). x i : M R.,,

0.,,., m Euclid m m. 2.., M., M R 2 ψ. ψ,, R 2 M.,, (x 1 (),, x m ()) R m. 2 M, R f. M (x 1,, x m ), f (x 1,, x m ) f(x 1,, x m ). f ( ). x i : M R.,, 2012 10 13 1,,,.,,.,.,,. 2?.,,. 1,, 1. (θ, φ), θ, φ (0, π),, (0, 2π). 1 0.,,., m Euclid m m. 2.., M., M R 2 ψ. ψ,, R 2 M.,, (x 1 (),, x m ()) R m. 2 M, R f. M (x 1,, x m ), f (x 1,, x m ) f(x 1,, x m ).

More information

A 2008 10 (2010 4 ) 1 1 1.1................................. 1 1.2..................................... 1 1.3............................ 3 1.3.1............................. 3 1.3.2..................................

More information

linux_apli02.dvi

linux_apli02.dvi 2002 2 Linux 2002 5 16 : UNIX GUI X Window System KDE GNOME. Linux Tex 1 X Window System 1.1 X Window System X Window System Unix GUI Linux X Window System X X Project Athena MIT X X X Microsoft Windows

More information

m(ẍ + γẋ + ω 0 x) = ee (2.118) e iωt P(ω) = χ(ω)e = ex = e2 E(ω) m ω0 2 ω2 iωγ (2.119) Z N ϵ(ω) ϵ 0 = 1 + Ne2 m j f j ω 2 j ω2 iωγ j (2.120)

m(ẍ + γẋ + ω 0 x) = ee (2.118) e iωt P(ω) = χ(ω)e = ex = e2 E(ω) m ω0 2 ω2 iωγ (2.119) Z N ϵ(ω) ϵ 0 = 1 + Ne2 m j f j ω 2 j ω2 iωγ j (2.120) 2.6 2.6.1 mẍ + γẋ + ω 0 x) = ee 2.118) e iωt Pω) = χω)e = ex = e2 Eω) m ω0 2 ω2 iωγ 2.119) Z N ϵω) ϵ 0 = 1 + Ne2 m j f j ω 2 j ω2 iωγ j 2.120) Z ω ω j γ j f j f j f j sum j f j = Z 2.120 ω ω j, γ ϵω) ϵ

More information

1 1 sin cos P (primary) S (secondly) 2 P S A sin(ω2πt + α) A ω 1 ω α V T m T m 1 100Hz m 2 36km 500Hz. 36km 1

1 1 sin cos P (primary) S (secondly) 2 P S A sin(ω2πt + α) A ω 1 ω α V T m T m 1 100Hz m 2 36km 500Hz. 36km 1 sin cos P (primary) S (secondly) 2 P S A sin(ω2πt + α) A ω ω α 3 3 2 2V 3 33+.6T m T 5 34m Hz. 34 3.4m 2 36km 5Hz. 36km m 34 m 5 34 + m 5 33 5 =.66m 34m 34 x =.66 55Hz, 35 5 =.7 485.7Hz 2 V 5Hz.5V.5V V

More information

I, II 1, 2 ɛ-δ 100 A = A 4 : 6 = max{ A, } A A 10

I, II 1, 2 ɛ-δ 100 A = A 4 : 6 = max{ A, } A A 10 1 2007.4.13. A 3-312 tel: 092-726-4774, e-mail: hara@math.kyushu-u.ac.jp, http://www.math.kyushu-u.ac.jp/ hara/lectures/lectures-j.html Office hours: B A I ɛ-δ ɛ-δ 1. 2. A 0. 1. 1. 2. 3. 2. ɛ-δ 1. ɛ-n

More information

ω 0 m(ẍ + γẋ + ω0x) 2 = ee (2.118) e iωt x = e 1 m ω0 2 E(ω). (2.119) ω2 iωγ Z N P(ω) = χ(ω)e = exzn (2.120) ϵ = ϵ 0 (1 + χ) ϵ(ω) ϵ 0 = 1 +

ω 0 m(ẍ + γẋ + ω0x) 2 = ee (2.118) e iωt x = e 1 m ω0 2 E(ω). (2.119) ω2 iωγ Z N P(ω) = χ(ω)e = exzn (2.120) ϵ = ϵ 0 (1 + χ) ϵ(ω) ϵ 0 = 1 + 2.6 2.6.1 ω 0 m(ẍ + γẋ + ω0x) 2 = ee (2.118) e iωt x = e 1 m ω0 2 E(ω). (2.119) ω2 iωγ Z N P(ω) = χ(ω)e = exzn (2.120) ϵ = ϵ 0 (1 + χ) ϵ(ω) ϵ 0 = 1 + Ne2 m j f j ω 2 j ω2 iωγ j (2.121) Z ω ω j γ j f j

More information

TOP URL 1

TOP URL   1 TOP URL http://amonphys.web.fc.com/ 3.............................. 3.............................. 4.3 4................... 5.4........................ 6.5........................ 8.6...........................7

More information

24.15章.微分方程式

24.15章.微分方程式 m d y dt = F m d y = mg dt V y = dy dt d y dt = d dy dt dt = dv y dt dv y dt = g dv y dt = g dt dt dv y = g dt V y ( t) = gt + C V y ( ) = V y ( ) = C = V y t ( ) = gt V y ( t) = dy dt = gt dy = g t dt

More information

液晶の物理1:連続体理論(弾性,粘性)

液晶の物理1:連続体理論(弾性,粘性) The Physics of Liquid Crystals P. G. de Gennes and J. Prost (Oxford University Press, 1993) Liquid crystals are beautiful and mysterious; I am fond of them for both reasons. My hope is that some readers

More information

Table of Contents 1 What is TEX? 2 TEX Online? 3 Online TEX Sites 4 Let s Try TEX Online! 5 日本語 Template H. Suzuki (ICU) TEX Online April 8, /

Table of Contents 1 What is TEX? 2 TEX Online? 3 Online TEX Sites 4 Let s Try TEX Online! 5 日本語 Template H. Suzuki (ICU) TEX Online April 8, / TEX Online Hiroshi Suzuki ( 鈴木寛 ) International Christian University April 8, 2016 H. Suzuki (ICU) TEX Online April 8, 2016 1 / 10 Table of Contents 1 What is TEX? 2 TEX Online? 3 Online TEX Sites 4 Let

More information

2009 I 2 II III 14, 15, α β α β l 0 l l l l γ (1) γ = αβ (2) α β n n cos 2k n n π sin 2k n π k=1 k=1 3. a 0, a 1,..., a n α a

2009 I 2 II III 14, 15, α β α β l 0 l l l l γ (1) γ = αβ (2) α β n n cos 2k n n π sin 2k n π k=1 k=1 3. a 0, a 1,..., a n α a 009 I II III 4, 5, 6 4 30. 0 α β α β l 0 l l l l γ ) γ αβ ) α β. n n cos k n n π sin k n π k k 3. a 0, a,..., a n α a 0 + a x + a x + + a n x n 0 ᾱ 4. [a, b] f y fx) y x 5. ) Arcsin 4) Arccos ) ) Arcsin

More information

Ver.2.2 20.07.2 3 200 6 2 4 ) 2) 3) 4) 5) (S45 9 ) ( 4) III 6) 7) 8) 9) ) 2) 3) 4) BASIC 5) 6) 7) 8) 9) ..2 3.2. 3.2.2 4.2.3 5.2.4 6.3 8.3. 8.3.2 8.3.3 9.4 2.5 3.6 5 2.6. 5.6.2 6.6.3 9.6.4 20.6.5 2.6.6

More information

4. ϵ(ν, T ) = c 4 u(ν, T ) ϵ(ν, T ) T ν π4 Planck dx = 0 e x 1 15 U(T ) x 3 U(T ) = σt 4 Stefan-Boltzmann σ 2π5 k 4 15c 2 h 3 = W m 2 K 4 5.

4. ϵ(ν, T ) = c 4 u(ν, T ) ϵ(ν, T ) T ν π4 Planck dx = 0 e x 1 15 U(T ) x 3 U(T ) = σt 4 Stefan-Boltzmann σ 2π5 k 4 15c 2 h 3 = W m 2 K 4 5. A 1. Boltzmann Planck u(ν, T )dν = 8πh ν 3 c 3 kt 1 dν h 6.63 10 34 J s Planck k 1.38 10 23 J K 1 Boltzmann u(ν, T ) T ν e hν c = 3 10 8 m s 1 2. Planck λ = c/ν Rayleigh-Jeans u(ν, T )dν = 8πν2 kt dν c

More information

cpall.dvi

cpall.dvi 55 7 gnuplot gnuplot Thomas Williams Colin Kelley Unix Windows MacOS gnuplot ( ) ( ) gnuplot gnuplot 7.1 gnuplot gnuplot () PC(Windows MacOS ) gnuplot http://www.gnuplot.info gnuplot 7.2 7.2.1 gnuplot

More information

Part () () Γ Part ,

Part () () Γ Part , Contents a 6 6 6 6 6 6 6 7 7. 8.. 8.. 8.3. 8 Part. 9. 9.. 9.. 3. 3.. 3.. 3 4. 5 4.. 5 4.. 9 4.3. 3 Part. 6 5. () 6 5.. () 7 5.. 9 5.3. Γ 3 6. 3 6.. 3 6.. 3 6.3. 33 Part 3. 34 7. 34 7.. 34 7.. 34 8. 35

More information

PowerPoint プレゼンテーション

PowerPoint プレゼンテーション テーマ1で 作 成 した5つのグラフ 画 像 ファイルはテーマ2の 実 習 で 使 います fig2-cnm-joins-time-series.pdf fig3-cnm-ratio-join.png fig5-all-etime-size.pdf fig6-tw-etime-size-m.pdf fig7-hn-ratio-join-500k.png なるべく 早 く 完 成 させ OCW-iからの

More information

2.2 Sage I 11 factor Sage Sage exit quit 1 sage : exit 2 Exiting Sage ( CPU time 0m0.06s, Wall time 2m8.71 s). 2.2 Sage Python Sage 1. Sage.sage 2. sa

2.2 Sage I 11 factor Sage Sage exit quit 1 sage : exit 2 Exiting Sage ( CPU time 0m0.06s, Wall time 2m8.71 s). 2.2 Sage Python Sage 1. Sage.sage 2. sa I 2017 11 1 SageMath SageMath( Sage ) Sage Python Sage Python Sage Maxima Maxima Sage Sage Sage Linux, Mac, Windows *1 2 Sage Sage 4 1. ( sage CUI) 2. Sage ( sage.sage ) 3. Sage ( notebook() ) 4. Sage

More information

(1) (2) (3) (4) HB B ( ) (5) (6) (7) 40 (8) (9) (10)

(1) (2) (3) (4) HB B ( ) (5) (6) (7) 40 (8) (9) (10) 2017 12 9 4 1 30 4 10 3 1 30 3 30 2 1 30 2 50 1 1 30 2 10 (1) (2) (3) (4) HB B ( ) (5) (6) (7) 40 (8) (9) (10) (1) i 23 c 23 0 1 2 3 4 5 6 7 8 9 a b d e f g h i (2) 23 23 (3) 23 ( 23 ) 23 x 1 x 2 23 x

More information

n ξ n,i, i = 1,, n S n ξ n,i n 0 R 1,.. σ 1 σ i .10.14.15 0 1 0 1 1 3.14 3.18 3.19 3.14 3.14,. ii 1 1 1.1..................................... 1 1............................... 3 1.3.........................

More information

W u = u(x, t) u tt = a 2 u xx, a > 0 (1) D := {(x, t) : 0 x l, t 0} u (0, t) = 0, u (l, t) = 0, t 0 (2)

W u = u(x, t) u tt = a 2 u xx, a > 0 (1) D := {(x, t) : 0 x l, t 0} u (0, t) = 0, u (l, t) = 0, t 0 (2) 3 215 4 27 1 1 u u(x, t) u tt a 2 u xx, a > (1) D : {(x, t) : x, t } u (, t), u (, t), t (2) u(x, ) f(x), u(x, ) t 2, x (3) u(x, t) X(x)T (t) u (1) 1 T (t) a 2 T (t) X (x) X(x) α (2) T (t) αa 2 T (t) (4)

More information

Microsoft Word - Wordで楽に数式を作る.docx

Microsoft Word - Wordで楽に数式を作る.docx Ver. 3.1 2015/1/11 門 馬 英 一 郎 Word 1 する必要がある Alt+=の後に Ctrl+i とセットで覚えておく 1.4. 変換が出来ない場合 ごく稀に以下で説明する変換機能が無効になる場合がある その際は Word を再起動するとまた使えるようになる 1.5. 独立数式と文中数式 数式のスタイルは独立数式 文中数式(2 次元)と文中数式(線形)の 3 種類があ り 数式モードの右端の矢印を選ぶとメニューが出てくる

More information

/02/18

/02/18 3 09/0/8 i III,,,, III,?,,,,,,,,,,,,,,,,,,,,?,?,,,,,,,,,,,,,,!!!,? 3,,,, ii,,,!,,,, OK! :!,,,, :!,,,,,, 3:!,, 4:!,,,, 5:!,,! 7:!,,,,, 8:!,! 9:!,,,,,,,,, ( ),, :, ( ), ( ), 6:!,,, :... : 3 ( )... iii,,

More information

(5) 75 (a) (b) ( 1 ) v ( 1 ) E E 1 v (a) ( 1 ) x E E (b) (a) (b)

(5) 75 (a) (b) ( 1 ) v ( 1 ) E E 1 v (a) ( 1 ) x E E (b) (a) (b) (5) 74 Re, bondar laer (Prandtl) Re z ω z = x (5) 75 (a) (b) ( 1 ) v ( 1 ) E E 1 v (a) ( 1 ) x E E (b) (a) (b) (5) 76 l V x ) 1/ 1 ( 1 1 1 δ δ = x Re x p V x t V l l (1-1) 1/ 1 δ δ δ δ = x Re p V x t V

More information

S I. dy fx x fx y fx + C 3 C dy fx 4 x, y dy v C xt y C v e kt k > xt yt gt [ v dt dt v e kt xt v e kt + C k x v + C C k xt v k 3 r r + dr e kt S dt d

S I. dy fx x fx y fx + C 3 C dy fx 4 x, y dy v C xt y C v e kt k > xt yt gt [ v dt dt v e kt xt v e kt + C k x v + C C k xt v k 3 r r + dr e kt S dt d S I.. http://ayapin.film.s.dendai.ac.jp/~matuda /TeX/lecture.html PDF PS.................................... 3.3.................... 9.4................5.............. 3 5. Laplace................. 5....

More information

III 1 (X, d) d U d X (X, d). 1. (X, d).. (i) d(x, y) d(z, y) d(x, z) (ii) d(x, y) d(z, w) d(x, z) + d(y, w) 2. (X, d). F X.. (1), X F, (2) F 1, F 2 F

III 1 (X, d) d U d X (X, d). 1. (X, d).. (i) d(x, y) d(z, y) d(x, z) (ii) d(x, y) d(z, w) d(x, z) + d(y, w) 2. (X, d). F X.. (1), X F, (2) F 1, F 2 F III 1 (X, d) d U d X (X, d). 1. (X, d).. (i) d(x, y) d(z, y) d(x, z) (ii) d(x, y) d(z, w) d(x, z) + d(y, w) 2. (X, d). F X.. (1), X F, (2) F 1, F 2 F F 1 F 2 F, (3) F λ F λ F λ F. 3., A λ λ A λ. B λ λ

More information

x () g(x) = f(t) dt f(x), F (x) 3x () g(x) g (x) f(x), F (x) (3) h(x) = x 3x tf(t) dt.9 = {(x, y) ; x, y, x + y } f(x, y) = xy( x y). h (x) f(x), F (x

x () g(x) = f(t) dt f(x), F (x) 3x () g(x) g (x) f(x), F (x) (3) h(x) = x 3x tf(t) dt.9 = {(x, y) ; x, y, x + y } f(x, y) = xy( x y). h (x) f(x), F (x [ ] IC. f(x) = e x () f(x) f (x) () lim f(x) lim f(x) x + x (3) lim f(x) lim f(x) x + x (4) y = f(x) ( ) ( s46). < a < () a () lim a log xdx a log xdx ( ) n (3) lim log k log n n n k=.3 z = log(x + y ),

More information

a0postercls? Gerlinde Kettl, Matthias Weiser T E Xmacro wwwctanorg/tex-archive/macros/latex/contrib/a0poster LAT E X

a0postercls? Gerlinde Kettl, Matthias Weiser T E Xmacro wwwctanorg/tex-archive/macros/latex/contrib/a0poster LAT E X a0postercls, http://wwwmathkobe-uacjp/a0poster ( ) ( ): orange (Debian/GNU Linux, Etch) ssh -X orange pdf :, - pdf ( ) orange / tex a0postercls? Gerlinde Kettl, Matthias Weiser T E Xmacro wwwctanorg/tex-archive/macros/latex/contrib/a0poster

More information