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

Size: px
Start display at page:

Download "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"

Transcription

1 L A TEX 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,. 1.3 C-g,.,, 2,, C-g. 1.4, Emacs.,, Emacs,,,. 1

2 1.5,. ( A, 7, * ) Emacs,., <Return>., <Delete>. <Delete>, Delete. <Delete>,. 1.6,.,, Emacs.,. ( ), ( ),,. C-x,., Emacs.,. C-x C-f ( )... C-x C-s. Emacs.,.. 1.7, C-x C-c., Emacs 2 L A TEX 2.1 L A TEX,. L A TEX,. ( Emacs). \documentclass{jarticle} \begin{document} Hello!!, \LaTeX \LaTeXe. \end{document} Hello!!, L A TEX L A TEX 2ε. 2

3 ,. \, L A TEX. L A TEX. \LaTeX L A TEX.. \documentclass, \begin, \end, { }.., { } [ ].. L A TEX, \begin{ } \end{ }. 2,., \begin{document} \end{document} document..,. 2.2 \begin{document} \end{document}. L A TEX. 1,. L A TEX., 1., \\., L A TEX \maketitle \maketitle \documentclass{... } \begin{document} \title \author \maketitle \begin{document} \documentclass{jarticle} \title{ \LaTeX} \author{ \\ } \begin{document} \maketitle Hello!!, \LaTeX \LaTeXe. \end{document} L A TEX : Hello!!, L A TEX L A TEX 2ε ,. 1.1, 2.3,

4 ,. L A TEX.,. \subsection \subsubsection,, itemize. itemize \item. L A TEX \item. itemize enumerate,. \begin{itemize} \item FORTRAN \item C \item PASCAL \end{itemize},. FORTRAN C PASCAL 2.3 L A TEX, tabular. tabular,, tabular, ( ). tabular 1,. c( ), l( ), r( ) 3. &, 1 \\. (, \\. ), & 4

5 \begin{tabular}{lcr} & & 350 \\ & & 2800 \\ & 1 & 250 \\ & & 100 \\ & & 200 \end{tabular} \begin{tabular}{ l cr } & & 350 \\ & & 2800 \\ & 1 & 250 \\ & & 100 \\ & & 200 \end{tabular} \\ 1 \hline. 2 \begin{tabular}{ l cr } \hline & & 350 \\ & & 2800 \\ \hline & 1 & 250 \\ & & 100 \\ \hline 100 & & 200 \\ \hline \end{tabular} 200 \hline, \cline \cline \cline{i-j} i j \begin{tabular}{ l cr } \hline & & 350 \\ \cline{2-3} & & 2800 \\ \hline & 1 & 250 \\ \cline{1-1} \cline{3-3} & & 100 \\ \hline & & 200 \\ \hline \end{tabular}

6 2.3.4 table table \caption \begin{table} \caption{ } \begin{center} \begin{tabular}{ l cr } \hline & & 350 \\ \cline{2-3} & & 2800 \\ \hline & 1 & 250 \\ \cline{1-1} \cline{3-3} & & 100 \\ \hline & & 200 \\ \hline \end{tabular} \end{center} \end{table} 1: ,. center 2.4 L A TEX,. n x i = 1 i=0 0,, L A TEX.,. f 2.4.1, math displaymath 2. math \( \), math. ($ $. ),. 6

7 displaymath \[ \], displaymath.,., italic.., ( ) ^, _.. $a_{2} > x^{2n}/y^{2n}$ $x^{y}_{1}, x^{y_2}, x^{y^3}$ a 2 > x 2n /y 2n x y 1, xy2, x y3 /. $n/2$, $(m+n)/2$. n/2, (m + n)/2., \frac.,. \[\frac{ }{ }\],. \[ x=\frac{x+y}{1+\frac{y}{z+1}} \] x = x + y 1 + y z+1 \sqrt \root. $ \sqrt{x+y} $ x + y, \root \of. \root \of $n$ $\root n \of 2$. n n

8 2.4.4,.,, \sum. \[ \sum_{x=0}^{n}x \] n x x= log,., $log x$ logx,., Roman. L A TEX, \log,. $ \log xy = \log x + \log y $ log xy = log x + log y. \arccos arccos \cos cos \exp exp \limsup lim sup \min min \sinh sinh \cosh cosh \lg lg \ln ln \arcsin arcsin \arctan arctan \cot cot \lim lim \log log \sec sec \tan tan array. array,. \[ \begin{array}{ } \end{array} \] tabular, c( ), l( ), r( ). &., \\. \\. \[ \begin{array}{clr} a+b+c & UV & 27 \\ a+b & U+V & 134 \\ a & 3U+V & 1234 \end{array} \] a + b + c UV 27 a + b U + V 134 a 3U + V 1234, array \left( ), \right( ). \left, \right ( ). \[ \left( \begin{array}{clr} a+b+c & UV & 27 \\ a+b & U+V & 134 \\ a & 3U+V & 1234 \end{array} \right) \] a + b + c UV 27 a + b U + V 134 a 3U + V

9 .,. ( ( ) ) [ [ ] ] \{ { \} } \right \left. ( ),. \[ x = \left\{ \begin{array}{ll} y & \mbox{if $y>0$} \\ z+y & \mbox{otherwise} \end{array} \right. \] x = { y if y > 0 z + y otherwise, \mbox{}. 3 L A TEX 3.1 \section,, 3.1, \label \ref \section{ }, \label{hoge}, hoge \ref{hoge} \label, \ref,, equation, enumerate platex L A TEX,. platex,, 2 platex 3.2, thebibliography enumerate,. \bibitem{...}..., \cite{...} 3.3 Postscript L A TEX Postscript, graphicx, preamble(\documentclass \begin{document} ), \usepackage{graphicx}, graphicx \includegraphics Postscript 9

10 \documentclass{jarticle} \usepackage{graphicx} \begin{document}. \includegraphics[scale=1.2]{ridai.ps}.. \end{document} 3.4 table, figure,,, \caption,,, \caption \label, \ref 1: Postscript 1 \begin{figure}[h]\begin{center} \includegraphics[scale=1.2]{ridai.ps}\\ \caption{postscript } \label{psex} \end{center}\end{figure} \ref{psex}. 3.5 TEX (.tex ) %, ( )..tex. % \% 10

11 3.6 Error Warning L A TEX TEX, Warning Error, L A TEX TEX TEX 1, ( ).dvi, 1, [] [2] [3], 2, 3., 3 Error Warning,, ( ) l.24.,.tex 24, Error Warning, 24, 3.7 \verb, verbatim,,, \verb \verb,, \verb, *,., verbatim typewriter-face {, \verb { 3.8,,,,,,,,. L A TEX Leslie Lamport,, 1, (, ).,,, 1.,,,,,,., n, n, n, n,, n, n n math-italic, $n$,, verbatim, a2ps Postscript, typewriter-face.,, typewriter-face \ {}, \tt \verb 11

12 caption., caption, caption.,, 12

13 A C-x C-c Emacs ESC < C-g ESC > C-x C-f C-v C-x C-s ESC v C-p 1 <Ret> C-n 1 <Del> C-f 1 C-d C-b 1 C-k C-a C-l C-e C- C-\ / <Spc>(C-w) C-b <Ret>(C-l) C-f C-n C-i C-p C-o q n p B latexsym \sum \bigcap \bigodot \prod \bigcup \bigotimes \coprod \bigsqcup \bigoplus \int \bigvee \biguplus \oint \bigwedge 13

14 Γ \Gamma Λ \Lambda Σ \Sigma Ψ \Psi \Delta Ξ \Xi Υ \Upsilon Ω \Omega Θ \Theta Π \Pi Φ \Phi α \alpha θ \theta o o τ \tau β \beta ϑ \vartheta π \pi υ \upsilon γ \gamma ι \iota ϖ \varpi φ \phi δ \delta κ \kappa ρ \rho ϕ \varphi ɛ \epsilon λ \lambda ϱ \varrho χ \chi ε \varepsilon µ \mu σ \sigma ψ \psi ζ \zeta ν \nu ς \varsigma ω \omega η \eta ξ \xi ± \pm \cap \diamond \oplus \mp \cup \bigtriangleup \ominus \times \uplus \bigtriangledown \otimes \div \sqcap \triangleleft \oslash \ast \sqcup \triangleright \odot \star \vee \lhd \bigcirc \circ \wedge \rhd \dagger \bullet \ \setminus \unlhd \ddagger \cdot \wr \unrhd \amalg \leq \geq \equiv = \models \prec \succ \sim \perp \preceq \succeq \simeq \mid \ll \gg \asymp \parallel \subset \supset \approx \bowtie \subseteq \supseteq = \cong \Join \sqsubset \sqsupset \neq \smile. \sqsubseteq \sqsupseteq = \doteq \frown \in \ni \propto \vdash \dashv 14

15 \leftarrow \longleftarrow \uparrow \Leftarrow = \Longleftarrow \Uparrow \rightarrow \longrightarrow \downarrow \Rightarrow = \Longrightarrow \Downarrow \leftrightarrow \longleftrightarrow \updownarrow \Leftrightarrow \Longleftrightarrow \Updownarrow \mapsto \longmapsto \nearrow \hookleftarrow \hookrightarrow \searrow \leftharpoonup \rightharpoonup \swarrow \leftharpoondown \rightharpoondown \nwarrow \rightleftharpoons \leadsto ℵ \aleph \prime \forall \infty h \hbar \emptyset \exists \Box ı \imath \nabla \neg \Diamond j \jmath \surd \flat \triangle l \ell \top \natural \clubsuit \wp \bot \sharp \diamondsuit R \Re \Vert \ \backslash \heartsuit I \Im \angle \partial \spadesuit \mho C Error Warning Error TEX Error,. Error,!. Error.! LaTeX Error: Bad math environment delimiter. (\( \), \[ \]). ({ }).! LaTeX Error: \begin{...}on input line... ended by \end{...}. \begin{...} \end{...}. \end{...}, \begin, \end.! LaTeX Error: Can be used only in preamble. \begin{document} (preamble) \begin{document}. \begin{document} Error. 15

16 ! LaTeX Error: Command... invalid in math mode.,.! LaTeX Error: Environment... undefined. \begin{...}..! LaTeX Error: Illegal character in array arg. array tabular ( ),.! LaTeX Error: Lonely \item--perhaps a missing list envirionment. itemize enumerate \item.! Double subscript. $x_1_2$, 2 x (x 12 ) 1 (x 12 )..,! Double superscript Error.! Extra alignment tab has been changed to \cr. array tabular, 1, Error. &. \\.! Extra }, or forgotten $.,. {, \[, \( $..! Misplaces alignment tab character &. &. & arrray tabular. & \&.! Missing {inserted..! Missing }inserted.. TEX ( ), Error,. TEX Error.! Missing $ inserted.,., ( ), Error.! Undefined control sequence. TEX.. 16

17 Warning Warning( ), TEX.dvi.,, Warning.! LaTeX Warning: Command... invalid in math mode.,.,.! LaTeX Warning: Label... multiply defined. \label.! LaTeX Warning: Label(s) may have changed. Return to get cross-reference right. L A TEX,, \ref. Warning. platex.! LaTeX Warning: No \author given. \maketitle \author.,.! LaTeX Warning: Reference... on page... undefined. \ref, \label..! Overfull \hbox...! Overfull \vbox...! Underfull \hbox...! Underfull \vbox... TEX (box).,,,. hbox vbox., 1,, ( ), ( ),, 1., Overfull, Underfull. Overfull \hbox Underfull \hbox, vbox,,. [1] L A TEX 2ε 2010 [2] + pl A TEX 2εfor Windows SOFTBANK 1999 [3] L A TEX 2ε 2000 [4] L A TEX

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

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

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

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

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

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

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

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

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

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

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

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

L \ L annotation / / / ; / ; / ;.../ ;../ ; / ;dash/ ;hyphen/ ; / ; / ; / ; / ; / ; ;degree/ ;minute/ ;second/ ;cent/ ;pond/ ;ss/ ;paragraph/ ;dagger/

L \ L annotation / / / ; / ; / ;.../ ;../ ; / ;dash/ ;hyphen/ ; / ; / ; / ; / ; / ; ;degree/ ;minute/ ;second/ ;cent/ ;pond/ ;ss/ ;paragraph/ ;dagger/ L \ L annotation / / / ; /; /;.../;../ ; /;dash/ ;hyphen/ ; / ; / ; / ; / ; / ; ;degree/ ;minute/ ;second/ ;cent/;pond/ ;ss/ ;paragraph/ ;dagger/ ;ddagger/ ;angstrom/;permil/ ; cyrillic/ ;sharp/ ;flat/

More information

3 MathJax HTML \ Y \ Y mathjax.html <html> <head> <script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax /2.7.0/MathJax.js

3 MathJax HTML \ Y \ Y mathjax.html <html> <head> <script type=text/javascript src=https://cdnjs.cloudflare.com/ajax/libs/mathjax /2.7.0/MathJax.js MathJax 1 MathJax MathJax JavaScript : MathJax IE6 Chrome 0.2 Safari 2 Opera 9.6 MathJax MathJax 2010 MathJax MathJax JavaScript MathJax JavaScript MathJax MathJax 2 HTML MathJax HTML HTML mathjax.html

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

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

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

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

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

Microsoft Word - ASCII変換文字一覧.docx

Microsoft Word - ASCII変換文字一覧.docx Alpha Α alpha α Beta Β beta β Chi Χ chi χ Delta Δ delta δ Epsilon Ε epsilon ϵ Eta Η eta η Gamma or G Γ gamma γ Iota Ι iota ι Kappa Κ kappa κ Lambda Λ lambda λ Mu Μ mu μ Nu Ν nu ν Omega Ω omega ω O Ο o

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

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

semi4.dvi

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

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

L A TEX (2)

L A TEX (2) L A TEX M1 E-mail : takigawa@atmos.rcast.u-tokyo.ac.jp 2016 4 19 L A TEX ( c ) 1 1 1.1................................................. 1 1.2................................................ 3 1.3...............................................

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

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

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

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

( ) ± = 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

PowerPoint プレゼンテーション

PowerPoint プレゼンテーション LaTeX Cheat Sheet 2015 ver. 2015/10/16 Matsuoka Ryo このスライドについて 1. このスライドは 北 大 理 学 部 を 中 心 とした 有 志 で 行 われている TeX 勉 強 会 で 使 われていた 資 料 です 2. このスライドの 不 正 確 な 記 述 によって 生 じた いかなる 損 害 に 関 しても 作 者 は 責 任 を 負 いかねます

More information

2.2 h h l L h L = l cot h (1) (1) L l L l l = L tan h (2) (2) L l 2 l 3 h 2.3 a h a h (a, h)

2.2 h h l L h L = l cot h (1) (1) L l L l l = L tan h (2) (2) L l 2 l 3 h 2.3 a h a h (a, h) 1 16 10 5 1 2 2.1 a a a 1 1 1 2.2 h h l L h L = l cot h (1) (1) L l L l l = L tan h (2) (2) L l 2 l 3 h 2.3 a h a h (a, h) 4 2 3 4 2 5 2.4 x y (x,y) l a x = l cot h cos a, (3) y = l cot h sin a (4) h a

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

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

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

第86回日本感染症学会総会学術集会後抄録(II)

第86回日本感染症学会総会学術集会後抄録(II) χ μ μ μ μ β β μ μ μ μ β μ μ μ β β β α β β β λ Ι β μ μ β Δ Δ Δ Δ Δ μ μ α φ φ φ α γ φ φ γ φ φ γ γδ φ γδ γ φ φ φ φ φ φ φ φ φ φ φ φ φ α γ γ γ α α α α α γ γ γ γ γ γ γ α γ α γ γ μ μ κ κ α α α β α

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

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

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

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

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

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

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

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

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

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

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

:15: :..

:15: :.. 2016 1 1 2016 1 2017-01-17 21:15:42 9............................... 44 10.............................. 46 11.............................. 48 12 :................... 51 1 1 2 (Small Basic ) 2 1...............

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

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

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

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

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

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

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

(Compton Scattering) Beaming 1 exp [i (k x ωt)] k λ k = 2π/λ ω = 2πν k = ω/c k x ωt ( ω ) k α c, k k x ωt η αβ k α x β diag( + ++) x β = (ct, x) O O x

(Compton Scattering) Beaming 1 exp [i (k x ωt)] k λ k = 2π/λ ω = 2πν k = ω/c k x ωt ( ω ) k α c, k k x ωt η αβ k α x β diag( + ++) x β = (ct, x) O O x Compton Scattering Beaming exp [i k x ωt] k λ k π/λ ω πν k ω/c k x ωt ω k α c, k k x ωt η αβ k α x β diag + ++ x β ct, x O O x O O v k α k α β, γ k γ k βk, k γ k + βk k γ k k, k γ k + βk 3 k k 4 k 3 k

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

A = A x x + A y y + A, B = B x x + B y y + B, C = C x x + C y y + C..6 x y A B C = A x x + A y y + A B x B y B C x C y C { B = A x x + A y y + A y B B

A = A x x + A y y + A, B = B x x + B y y + B, C = C x x + C y y + C..6 x y A B C = A x x + A y y + A B x B y B C x C y C { B = A x x + A y y + A y B B 9 7 A = A x x + A y y + A, B = B x x + B y y + B, C = C x x + C y y + C..6 x y A B C = A x x + A y y + A B x B y B C x C y C { B = A x x + A y y + A y B B x x B } B C y C y + x B y C x C C x C y B = A

More information

e a b a b b a a a 1 a a 1 = a 1 a = e G G G : x ( x =, 8, 1 ) x 1,, 60 θ, ϕ ψ θ G G H H G x. n n 1 n 1 n σ = (σ 1, σ,..., σ N ) i σ i i n S n n = 1,,

e a b a b b a a a 1 a a 1 = a 1 a = e G G G : x ( x =, 8, 1 ) x 1,, 60 θ, ϕ ψ θ G G H H G x. n n 1 n 1 n σ = (σ 1, σ,..., σ N ) i σ i i n S n n = 1,, 01 10 18 ( ) 1 6 6 1 8 8 1 6 1 0 0 0 0 1 Table 1: 10 0 8 180 1 1 1. ( : 60 60 ) : 1. 1 e a b a b b a a a 1 a a 1 = a 1 a = e G G G : x ( x =, 8, 1 ) x 1,, 60 θ, ϕ ψ θ G G H H G x. n n 1 n 1 n σ = (σ 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

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

H 0 H = H 0 + V (t), V (t) = gµ B S α qb e e iωt i t Ψ(t) = [H 0 + V (t)]ψ(t) Φ(t) Ψ(t) = e ih0t Φ(t) H 0 e ih0t Φ(t) + ie ih0t t Φ(t) = [

H 0 H = H 0 + V (t), V (t) = gµ B S α qb e e iωt i t Ψ(t) = [H 0 + V (t)]ψ(t) Φ(t) Ψ(t) = e ih0t Φ(t) H 0 e ih0t Φ(t) + ie ih0t t Φ(t) = [ 3 3. 3.. H H = H + V (t), V (t) = gµ B α B e e iωt i t Ψ(t) = [H + V (t)]ψ(t) Φ(t) Ψ(t) = e iht Φ(t) H e iht Φ(t) + ie iht t Φ(t) = [H + V (t)]e iht Φ(t) Φ(t) i t Φ(t) = V H(t)Φ(t), V H (t) = e iht V (t)e

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

( ) ( )

( ) ( ) 20 21 2 8 1 2 2 3 21 3 22 3 23 4 24 5 25 5 26 6 27 8 28 ( ) 9 3 10 31 10 32 ( ) 12 4 13 41 0 13 42 14 43 0 15 44 17 5 18 6 18 1 1 2 2 1 2 1 0 2 0 3 0 4 0 2 2 21 t (x(t) y(t)) 2 x(t) y(t) γ(t) (x(t) y(t))

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

N cos s s cos ψ e e e e 3 3 e e 3 e 3 e

N cos s s cos ψ e e e e 3 3 e e 3 e 3 e 3 3 5 5 5 3 3 7 5 33 5 33 9 5 8 > e > f U f U u u > u ue u e u ue u ue u e u e u u e u u e u N cos s s cos ψ e e e e 3 3 e e 3 e 3 e 3 > A A > A E A f A A f A [ ] f A A e > > A e[ ] > f A E A < < f ; >

More information

³ÎΨÏÀ

³ÎΨÏÀ 2017 12 12 Makoto Nakashima 2017 12 12 1 / 22 2.1. C, D π- C, D. A 1, A 2 C A 1 A 2 C A 3, A 4 D A 1 A 2 D Makoto Nakashima 2017 12 12 2 / 22 . (,, L p - ). Makoto Nakashima 2017 12 12 3 / 22 . (,, L p

More information

(1.2) T D = 0 T = D = 30 kn 1.2 (1.4) 2F W = 0 F = W/2 = 300 kn/2 = 150 kn 1.3 (1.9) R = W 1 + W 2 = = 1100 N. (1.9) W 2 b W 1 a = 0

(1.2) T D = 0 T = D = 30 kn 1.2 (1.4) 2F W = 0 F = W/2 = 300 kn/2 = 150 kn 1.3 (1.9) R = W 1 + W 2 = = 1100 N. (1.9) W 2 b W 1 a = 0 1 1 1.1 1.) T D = T = D = kn 1. 1.4) F W = F = W/ = kn/ = 15 kn 1. 1.9) R = W 1 + W = 6 + 5 = 11 N. 1.9) W b W 1 a = a = W /W 1 )b = 5/6) = 5 cm 1.4 AB AC P 1, P x, y x, y y x 1.4.) P sin 6 + P 1 sin 45

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

help gem gem gem my help

help gem gem gem my help hikiutils 1234 2017 3 1 1 6 1.0.1 help gem................... 7 gem.................................... 7 gem................................... 7 my help.................................. 7 my help......................

More information

N/m f x x L dl U 1 du = T ds pdv + fdl (2.1)

N/m f x x L dl U 1 du = T ds pdv + fdl (2.1) 23 2 2.1 10 5 6 N/m 2 2.1.1 f x x L dl U 1 du = T ds pdv + fdl (2.1) 24 2 dv = 0 dl ( ) U f = T L p,t ( ) S L p,t (2.2) 2 ( ) ( ) S f = L T p,t p,l (2.3) ( ) U f = L p,t + T ( ) f T p,l (2.4) 1 f e ( U/

More information

TOP URL 1

TOP URL   1 TOP URL http://amonphys.web.fc.com/ 1 19 3 19.1................... 3 19.............................. 4 19.3............................... 6 19.4.............................. 8 19.5.............................

More information

2009 IA 5 I 22, 23, 24, 25, 26, (1) Arcsin 1 ( 2 (4) Arccos 1 ) 2 3 (2) Arcsin( 1) (3) Arccos 2 (5) Arctan 1 (6) Arctan ( 3 ) 3 2. n (1) ta

2009 IA 5 I 22, 23, 24, 25, 26, (1) Arcsin 1 ( 2 (4) Arccos 1 ) 2 3 (2) Arcsin( 1) (3) Arccos 2 (5) Arctan 1 (6) Arctan ( 3 ) 3 2. n (1) ta 009 IA 5 I, 3, 4, 5, 6, 7 6 3. () Arcsin ( (4) Arccos ) 3 () Arcsin( ) (3) Arccos (5) Arctan (6) Arctan ( 3 ) 3. n () tan x (nπ π/, nπ + π/) f n (x) f n (x) fn (x) Arctan x () sin x [nπ π/, nπ +π/] g n

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

i

i i 3 4 4 7 5 6 3 ( ).. () 3 () (3) (4) /. 3. 4/3 7. /e 8. a > a, a = /, > a >. () a >, a =, > a > () a > b, a = b, a < b. c c n a n + b n + c n 3c n..... () /3 () + (3) / (4) /4 (5) m > n, a b >, m > n,

More information

4 Mindlin -Reissner 4 δ T T T εσdω= δ ubdω+ δ utd Γ Ω Ω Γ T εσ (1.1) ε σ u b t 3 σ ε. u T T T = = = { σx σ y σ z τxy τ yz τzx} { εx εy εz γ xy γ yz γ

4 Mindlin -Reissner 4 δ T T T εσdω= δ ubdω+ δ utd Γ Ω Ω Γ T εσ (1.1) ε σ u b t 3 σ ε. u T T T = = = { σx σ y σ z τxy τ yz τzx} { εx εy εz γ xy γ yz γ Mindlin -Rissnr δ εσd δ ubd+ δ utd Γ Γ εσ (.) ε σ u b t σ ε. u { σ σ σ z τ τ z τz} { ε ε εz γ γ z γ z} { u u uz} { b b bz} b t { t t tz}. ε u u u u z u u u z u u z ε + + + (.) z z z (.) u u NU (.) N U

More information

all.dvi

all.dvi 38 5 Cauchy.,,,,., σ.,, 3,,. 5.1 Cauchy (a) (b) (a) (b) 5.1: 5.1. Cauchy 39 F Q Newton F F F Q F Q 5.2: n n ds df n ( 5.1). df n n df(n) df n, t n. t n = df n (5.1) ds 40 5 Cauchy t l n mds df n 5.3: t

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

TOP URL 1

TOP URL   1 TOP URL http://amonphys.web.fc2.com/ 1 30 3 30.1.............. 3 30.2........................... 4 30.3...................... 5 30.4........................ 6 30.5.................................. 8 30.6...............................

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

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

1 (Berry,1975) 2-6 p (S πr 2 )p πr 2 p 2πRγ p p = 2γ R (2.5).1-1 : : : : ( ).2 α, β α, β () X S = X X α X β (.1) 1 2

1 (Berry,1975) 2-6 p (S πr 2 )p πr 2 p 2πRγ p p = 2γ R (2.5).1-1 : : : : ( ).2 α, β α, β () X S = X X α X β (.1) 1 2 2005 9/8-11 2 2.2 ( 2-5) γ ( ) γ cos θ 2πr πρhr 2 g h = 2γ cos θ ρgr (2.1) γ = ρgrh (2.2) 2 cos θ θ cos θ = 1 (2.2) γ = 1 ρgrh (2.) 2 2. p p ρgh p ( ) p p = p ρgh (2.) h p p = 2γ r 1 1 (Berry,1975) 2-6

More information

z f(z) f(z) x, y, u, v, r, θ r > 0 z = x + iy, f = u + iv C γ D f(z) f(z) D f(z) f(z) z, Rm z, z 1.1 z = x + iy = re iθ = r (cos θ + i sin θ) z = x iy

z f(z) f(z) x, y, u, v, r, θ r > 0 z = x + iy, f = u + iv C γ D f(z) f(z) D f(z) f(z) z, Rm z, z 1.1 z = x + iy = re iθ = r (cos θ + i sin θ) z = x iy z fz fz x, y, u, v, r, θ r > z = x + iy, f = u + iv γ D fz fz D fz fz z, Rm z, z. z = x + iy = re iθ = r cos θ + i sin θ z = x iy = re iθ = r cos θ i sin θ x = z + z = Re z, y = z z = Im z i r = z = z

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

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

, 3, 6 = 3, 3,,,, 3,, 9, 3, 9, 3, 3, 4, 43, 4, 3, 9, 6, 6,, 0 p, p, p 3,..., p n N = p p p 3 p n + N p n N p p p, p 3,..., p n p, p,..., p n N, 3,,,,

, 3, 6 = 3, 3,,,, 3,, 9, 3, 9, 3, 3, 4, 43, 4, 3, 9, 6, 6,, 0 p, p, p 3,..., p n N = p p p 3 p n + N p n N p p p, p 3,..., p n p, p,..., p n N, 3,,,, 6,,3,4,, 3 4 8 6 6................................. 6.................................. , 3, 6 = 3, 3,,,, 3,, 9, 3, 9, 3, 3, 4, 43, 4, 3, 9, 6, 6,, 0 p, p, p 3,..., p n N = p p p 3 p n + N p n N p p p,

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

110 $\ovalbox{\tt\small REJECT}^{\mathrm{i}}1W^{\mathrm{p}}\mathrm{n}$ 2 DDS 2 $(\mathrm{i}\mathrm{y}\mu \mathrm{i})$ $(\mathrm{m}\mathrm{i})$ 2

110 $\ovalbox{\tt\small REJECT}^{\mathrm{i}}1W^{\mathrm{p}}\mathrm{n}$ 2 DDS 2 $(\mathrm{i}\mathrm{y}\mu \mathrm{i})$ $(\mathrm{m}\mathrm{i})$ 2 1539 2007 109-119 109 DDS (Drug Deltvery System) (Osamu Sano) $\mathrm{r}^{\mathrm{a}_{w^{1}}}$ $\mathrm{i}\mathrm{h}$ 1* ] $\dot{n}$ $\mathrm{a}g\mathrm{i}$ Td (Yisaku Nag$) JST CREST 1 ( ) DDS ($\mathrm{m}_{\mathrm{u}\mathrm{g}}\propto

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

1. ( ) 1.1 t + t [m]{ü(t + t)} + [c]{ u(t + t)} + [k]{u(t + t)} = {f(t + t)} (1) m ü f c u k u 1.2 Newmark β (1) (2) ( [m] + t ) 2 [c] + β( t)2

1. ( ) 1.1 t + t [m]{ü(t + t)} + [c]{ u(t + t)} + [k]{u(t + t)} = {f(t + t)} (1) m ü f c u k u 1.2 Newmark β (1) (2) ( [m] + t ) 2 [c] + β( t)2 212 1 6 1. (212.8.14) 1 1.1............................................. 1 1.2 Newmark β....................... 1 1.3.................................... 2 1.4 (212.8.19)..................................

More information

201711grade1ouyou.pdf

201711grade1ouyou.pdf 2017 11 26 1 2 52 3 12 13 22 23 32 33 42 3 5 3 4 90 5 6 A 1 2 Web Web 3 4 1 2... 5 6 7 7 44 8 9 1 2 3 1 p p >2 2 A 1 2 0.6 0.4 0.52... (a) 0.6 0.4...... B 1 2 0.8-0.2 0.52..... (b) 0.6 0.52.... 1 A B 2

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

τ τ

τ τ 1 1 1.1 1.1.1 τ τ 2 1 1.1.2 1.1 1.1 µ ν M φ ν end ξ µ ν end ψ ψ = µ + ν end φ ν = 1 2 (µφ + ν end) ξ = ν (µ + ν end ) + 1 1.1 3 6.18 a b 1.2 a b 1.1.3 1.1.3.1 f R{A f } A f 1 B R{AB f 1 } COOH A OH B 1.3

More information

.2 ρ dv dt = ρk grad p + 3 η grad (divv) + η 2 v.3 divh = 0, rote + c H t = 0 dive = ρ, H = 0, E = ρ, roth c E t = c ρv E + H c t = 0 H c E t = c ρv T

.2 ρ dv dt = ρk grad p + 3 η grad (divv) + η 2 v.3 divh = 0, rote + c H t = 0 dive = ρ, H = 0, E = ρ, roth c E t = c ρv E + H c t = 0 H c E t = c ρv T NHK 204 2 0 203 2 24 ( ) 7 00 7 50 203 2 25 ( ) 7 00 7 50 203 2 26 ( ) 7 00 7 50 203 2 27 ( ) 7 00 7 50 I. ( ν R n 2 ) m 2 n m, R = e 2 8πε 0 hca B =.09737 0 7 m ( ν = ) λ a B = 4πε 0ħ 2 m e e 2 = 5.2977

More information

1 1 1 1 1 1 2 f z 2 C 1, C 2 f 2 C 1, C 2 f(c 2 ) C 2 f(c 1 ) z C 1 f f(z) xy uv ( u v ) = ( a b c d ) ( x y ) + ( p q ) (p + b, q + d) 1 (p + a, q + c) 1 (p, q) 1 1 (b, d) (a, c) 2 3 2 3 a = d, c = b

More information

r d 2r d l d (a) (b) (c) 1: I(x,t) I(x+ x,t) I(0,t) I(l,t) V in V(x,t) V(x+ x,t) V(0,t) l V(l,t) 2: 0 x x+ x 3: V in 3 V in x V (x, t) I(x, t

r d 2r d l d (a) (b) (c) 1: I(x,t) I(x+ x,t) I(0,t) I(l,t) V in V(x,t) V(x+ x,t) V(0,t) l V(l,t) 2: 0 x x+ x 3: V in 3 V in x V (x, t) I(x, t 1 1 2 2 2r d 2r d l d (a) (b) (c) 1: I(x,t) I(x+ x,t) I(0,t) I(l,t) V in V(x,t) V(x+ x,t) V(0,t) l V(l,t) 2: 0 x x+ x 3: V in 3 V in x V (x, t) I(x, t) V (x, t) I(x, t) V in x t 3 4 1 L R 2 C G L 0 R 0

More information