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#rst2hooktail_source
=========================================================...
LaTeX表現集
=========================================================...
この記事では $\text{\LaTeX}$ 数式の表現方法を紹介します。
皆さんが $\text{\LaTeX}$ を使用する際の参考になれば幸いで...
なお微分演算子 $\mathrm{d}$ や虚数単位 $\mathrm{i}$ は立...
本記事中では斜体、立体が入り交じっていますがご容赦くださ...
.. contents::
基本表現
=============
分数
----
.. csv-table::
:header: "表示項目", "表示", "入力"
"分数 式番号","$y=a/x=\frac{a}{x} \tag{88}.$","y=a/x=\\...
添字
-----
.. csv-table::
:header: "表示項目", "表示", "入力"
"上付添え字","$x^2+y^2=r^{2},$","x^2+y^2=r^2"
"下付添え字 ","$_{\it n}\mathrm{C}_{\it r} = \frac{n!}{(...
微分・積分
-------------
.. csv-table::
:header: "表示項目", "表示", "入力"
"1次微分", "$\dot x = x^{\prime} = d x/d t=\frac{d x(t)}...
"2次微分","$ \ddot x = x^{\prime \prime} = d^{2} x/d t^{...
"積分 ","$\int f(x)dx, \ g(x)=\int^{x} f(x')dx', \ \in...
"面積分,線積分 \\rm≡\\mathrm","$ \int\mspace{-11mu}\int...
"偏微分 ","$ \frac{\partial f(x,y)}{\partial x} =\partia...
ベクトル・行列・行列式
------------------------
.. csv-table::
:header: "表示項目", "表示", "入力"
"列ベクトルと行列の表示","$\left( \begin{array}{cc} A^{1...
"2点間のベクトル(上の長い矢) ","$ \cos\left(\angle \math...
"ベクトル内積 dot-product","${\bm A}\cdot{\bm B} &\equiv...
"ベクトル外積 cross-product","${\bm A} \times {\bm B} &\...
ベクトル演算子とラプラスの演算子
----------------------------------
.. csv-table::
:header: "表示項目", "表示", "入力"
"nabla演算子 ","$\nabla &\equiv \frac{\partial}{\partial...
"gradient:勾配","$ \mathrm{grad}\ f({\bm r}) &= \nabla f...
"divergence:発散","$\mathrm{div}{\bm E}({\bm r},t) &= \n...
"rotation:回転","$\mathrm{rot}{\bm H}({\bm r},t) &= \nab...
"Laplacian(ラプラシアン:ラプラスの演算子)","$\bigtriang...
"ラプラスの方程式 $\text{ }$ ポアッソンの方程式","$\bigt...
複素数とオイラーの公式
-----------------------
.. csv-table::
:header: "表示項目", "表示", "入力"
"複素数 成分により表示","$z=x+\mathrm{i}y=r\mathrm{e}^{+...
"オイラーの公式","$\mathrm{e}^{\mathrm{i}\theta} = \cos(...
"オイラーの逆公式","$\cos(\theta) = \frac{\mathrm{e}^{\m...
指数関数と双曲線関数
-------------------------
.. csv-table::
:header: "表示項目", "表示", "入力"
"指数関数 ← 双曲線関数","$\mathrm{e}^{x} & = \cosh(x)+...
"双曲線関数 ← 指数関数","$\cosh(x) & =\dfrac{\mathrm{e...
"式の横並び:簡易法 &&仕切り", "$u(x,0) =0, && u(0,t) =U...
記号(Symbols)
==================
.. csv-table:: 記号
:header: "表示/入力", "表示/入力", "表示/入力", "表示/入...
"$\pm$ \\pm", "$\circ$ \\circ", "$\bullet$ \\bullet", "$...
"$\aleph$ \\aleph", "$\hbar$ \\hbar", "$\Re$ \\Re", "$\I...
"$\infty$ \\infty", "$\emptyset$ \\emptyset", "$\forall$...
"$\cap$ \\cap", "$\cup$ \\cup", "$\vee$ \\vee", "$\wedge...
"$\subset$ \\subset", "$\supset$ \\supset", "$\sqsubset$...
"$\subseteq$ \\subseteq", "$\supseteq$ \\supseteq", "$\v...
"$\in$ \\in", "$\notin$ \\notin", "$\ni$ \\ni", "$\not\n...
"$\parallel$ \\parallel", "$\perp$ \\perp", "$\sim$ \\si...
"$\equiv$ \\equiv", "$\approx$ \\approx", "$\propto$ \\p...
"$\le$ \\le", "$\ll$ \\ll", "$\ge$ \\ge", "$\gg$ \\gg"
矢印と括弧
===============
.. csv-table:: 矢印と括弧
:header: "表示 \\入力", "表示 \\入力"
"$\gets$ \\gets", "$\longleftarrow$ \\longleftarrow"
"$\Leftarrow$ \\Leftarrow", "$\Longleftarrow$ \\Longleft...
"$\to$ \\to", "$\longrightarrow$ \\longrightarrow"
"$\Rightarrow$ \\Rightarrow", "$\Longrightarrow$ \\Longr...
"$\leftrightarrow$ \\leftrightarrow", "$\longleftrightar...
"$\Leftrightarrow$ \\Leftrightarrow", "$\Longleftrightar...
"$\mapsto$ \\mapsto", "$\longmapsto$ \\longmapsto"
"$\hookleftarrow$ \\hookleftarrow", "$\hookrightarrow$ \...
"$\rightleftharpoons$ \\rightleftharpoons", "$\upharpoon...
"$\uparrow$ \\uparrow", "$\downarrow$ \\downarrow"
"$\Uparrow$ \\Uparrow", "$\Downarrow$ \\Downarrow"
"$\updownarrow$ \\updownarrow", "$\Updownarrow$ \\Updown...
"$\upharpoonleft$ \upharpoonleft\", "$\downharpoonright$...
"$|$ |", "$\|$ \\|"
"$\{ x\}$ \\{ x\\}", "$\lceil x \rceil$ \\lceil x \\rcei...
"$\langle x \rangle$ \\langle x \\rangle", "$\lfloor x \...
賢いドットと省略型ドット
============================
.. csv-table:: 賢いdots と 省略型dotsX
:header: "用法", "表示", "入力"
"賢いdots(カンマ区切り)", "$a_1,a_2,\dots,a_n.$", "a_1,a...
"賢いdots(二項演算子)", "$a_1 + a_2 + \dots + a_n$", "a_...
"賢いdots(多項並べ)", "$a_1 a_2 \dots a_n$", "a_1 a_2 \\...
"賢いdots(多重積分)", "$\int \dots \int $", "\\int \\dot...
"dotsc (commas)", "$a_1,\dotsc$", "a_1,\\dotsc"
"dotsb (binary op. or relations)", "$a_1 + \dotsb$", "a_...
"dotsm (multiplications)", "$a_1 \dotsm$", "a_1 \\dotsm"
"dotsi (integrals)", "$\int \dotsi$", "\\int \\dotsi"
ギリシャ文字(小文字,大文字・立体,大文字・斜体)
===================================================
.. csv-table:: Greek letters
:header: "表示/入力", "表示/入力", "表示/入力", "表示/入...
"$\alpha$ \\alpha", "$\eta$ \\eta", "$\nu$ \\nu", "$\tau...
"$\beta$ \\beta", "$\theta$ \\theta", "$\xi$ \\xi", "$\u...
"$\gamma$ \\gamma", "$\iota$ \\iota", "omicron", "$\phi$...
"$\delta$ \\delta", "$\kappa$ \\kappa", "$\pi$ \\pi", "$...
"$\epsilon$ \\epsilon", "$\lambda$ \\lambda", "$\rho$ \\...
"$\zeta$ \\zeta", "$\mu$ \\mu", "$\sigma$ \\sigma", "$\o...
"$\Gamma$ \\Gamma", "$\Theta$ \\Theta", "$\Xi$ \\Xi", "$...
"$\Delta$ \\Delta", "$\Lambda$ \\Lambda", "$\Pi$ \\Pi", ...
" ", " ", "$\Sigma$ \\Sigma", "$\Psi$ \\Psi"
" ", " ", " ", "$\Omega$ \\Omega"
"$\varGamma$ \\varGamma", "$\varTheta$ \\varTheta", "$\v...
"$\varDelta$ \\varDelta", "$\varLambda$ \\varLambda", "$...
" ", " ", "$\varSigma$ \\varSigma", "$\varPsi$ \\varPsi"
" ", " ", " ", "$\varOmega$ \\varOmega"
数学での「数の種類分け」記号
=================================
.. csv-table::
:header: "表示", "入力", "表示", "入力", "意味", "例"
"$\mathbb{N}$", "\\mathbb{N}", "$\mathbf{N}$", "\\mathbf...
"$\mathbb{Z}$","\\mathbb{Z}", "$\mathbf{Z}$", "\\mathbf{...
"$\mathbb{Q}$","\\mathbb{Q}", "$\mathbf{Q}$", "\\mathbf{...
"$\mathbb{R}$","\\mathbb{R}", "$\mathbf{R}$", "\\mathbf{...
"$\mathbb{C}$","\\mathbb{C}", "$\mathbf{C}$", "\\mathbf{...
@@reference: hooktail.maxwell.jp/bbslog/11108.html,数式掲...
@@reference: hooktail.maxwell.jp/bbslog/11307.html,数式掲...
@@reference: hooktail.maxwell.jp/bbslog/11396.html,数式掲...
@@author: CO@@
@@accept: 2006-11-27@@
@@category: その他@@
@@id: latexImpress@@
終了行:
#rst2hooktail_source
=========================================================...
LaTeX表現集
=========================================================...
この記事では $\text{\LaTeX}$ 数式の表現方法を紹介します。
皆さんが $\text{\LaTeX}$ を使用する際の参考になれば幸いで...
なお微分演算子 $\mathrm{d}$ や虚数単位 $\mathrm{i}$ は立...
本記事中では斜体、立体が入り交じっていますがご容赦くださ...
.. contents::
基本表現
=============
分数
----
.. csv-table::
:header: "表示項目", "表示", "入力"
"分数 式番号","$y=a/x=\frac{a}{x} \tag{88}.$","y=a/x=\\...
添字
-----
.. csv-table::
:header: "表示項目", "表示", "入力"
"上付添え字","$x^2+y^2=r^{2},$","x^2+y^2=r^2"
"下付添え字 ","$_{\it n}\mathrm{C}_{\it r} = \frac{n!}{(...
微分・積分
-------------
.. csv-table::
:header: "表示項目", "表示", "入力"
"1次微分", "$\dot x = x^{\prime} = d x/d t=\frac{d x(t)}...
"2次微分","$ \ddot x = x^{\prime \prime} = d^{2} x/d t^{...
"積分 ","$\int f(x)dx, \ g(x)=\int^{x} f(x')dx', \ \in...
"面積分,線積分 \\rm≡\\mathrm","$ \int\mspace{-11mu}\int...
"偏微分 ","$ \frac{\partial f(x,y)}{\partial x} =\partia...
ベクトル・行列・行列式
------------------------
.. csv-table::
:header: "表示項目", "表示", "入力"
"列ベクトルと行列の表示","$\left( \begin{array}{cc} A^{1...
"2点間のベクトル(上の長い矢) ","$ \cos\left(\angle \math...
"ベクトル内積 dot-product","${\bm A}\cdot{\bm B} &\equiv...
"ベクトル外積 cross-product","${\bm A} \times {\bm B} &\...
ベクトル演算子とラプラスの演算子
----------------------------------
.. csv-table::
:header: "表示項目", "表示", "入力"
"nabla演算子 ","$\nabla &\equiv \frac{\partial}{\partial...
"gradient:勾配","$ \mathrm{grad}\ f({\bm r}) &= \nabla f...
"divergence:発散","$\mathrm{div}{\bm E}({\bm r},t) &= \n...
"rotation:回転","$\mathrm{rot}{\bm H}({\bm r},t) &= \nab...
"Laplacian(ラプラシアン:ラプラスの演算子)","$\bigtriang...
"ラプラスの方程式 $\text{ }$ ポアッソンの方程式","$\bigt...
複素数とオイラーの公式
-----------------------
.. csv-table::
:header: "表示項目", "表示", "入力"
"複素数 成分により表示","$z=x+\mathrm{i}y=r\mathrm{e}^{+...
"オイラーの公式","$\mathrm{e}^{\mathrm{i}\theta} = \cos(...
"オイラーの逆公式","$\cos(\theta) = \frac{\mathrm{e}^{\m...
指数関数と双曲線関数
-------------------------
.. csv-table::
:header: "表示項目", "表示", "入力"
"指数関数 ← 双曲線関数","$\mathrm{e}^{x} & = \cosh(x)+...
"双曲線関数 ← 指数関数","$\cosh(x) & =\dfrac{\mathrm{e...
"式の横並び:簡易法 &&仕切り", "$u(x,0) =0, && u(0,t) =U...
記号(Symbols)
==================
.. csv-table:: 記号
:header: "表示/入力", "表示/入力", "表示/入力", "表示/入...
"$\pm$ \\pm", "$\circ$ \\circ", "$\bullet$ \\bullet", "$...
"$\aleph$ \\aleph", "$\hbar$ \\hbar", "$\Re$ \\Re", "$\I...
"$\infty$ \\infty", "$\emptyset$ \\emptyset", "$\forall$...
"$\cap$ \\cap", "$\cup$ \\cup", "$\vee$ \\vee", "$\wedge...
"$\subset$ \\subset", "$\supset$ \\supset", "$\sqsubset$...
"$\subseteq$ \\subseteq", "$\supseteq$ \\supseteq", "$\v...
"$\in$ \\in", "$\notin$ \\notin", "$\ni$ \\ni", "$\not\n...
"$\parallel$ \\parallel", "$\perp$ \\perp", "$\sim$ \\si...
"$\equiv$ \\equiv", "$\approx$ \\approx", "$\propto$ \\p...
"$\le$ \\le", "$\ll$ \\ll", "$\ge$ \\ge", "$\gg$ \\gg"
矢印と括弧
===============
.. csv-table:: 矢印と括弧
:header: "表示 \\入力", "表示 \\入力"
"$\gets$ \\gets", "$\longleftarrow$ \\longleftarrow"
"$\Leftarrow$ \\Leftarrow", "$\Longleftarrow$ \\Longleft...
"$\to$ \\to", "$\longrightarrow$ \\longrightarrow"
"$\Rightarrow$ \\Rightarrow", "$\Longrightarrow$ \\Longr...
"$\leftrightarrow$ \\leftrightarrow", "$\longleftrightar...
"$\Leftrightarrow$ \\Leftrightarrow", "$\Longleftrightar...
"$\mapsto$ \\mapsto", "$\longmapsto$ \\longmapsto"
"$\hookleftarrow$ \\hookleftarrow", "$\hookrightarrow$ \...
"$\rightleftharpoons$ \\rightleftharpoons", "$\upharpoon...
"$\uparrow$ \\uparrow", "$\downarrow$ \\downarrow"
"$\Uparrow$ \\Uparrow", "$\Downarrow$ \\Downarrow"
"$\updownarrow$ \\updownarrow", "$\Updownarrow$ \\Updown...
"$\upharpoonleft$ \upharpoonleft\", "$\downharpoonright$...
"$|$ |", "$\|$ \\|"
"$\{ x\}$ \\{ x\\}", "$\lceil x \rceil$ \\lceil x \\rcei...
"$\langle x \rangle$ \\langle x \\rangle", "$\lfloor x \...
賢いドットと省略型ドット
============================
.. csv-table:: 賢いdots と 省略型dotsX
:header: "用法", "表示", "入力"
"賢いdots(カンマ区切り)", "$a_1,a_2,\dots,a_n.$", "a_1,a...
"賢いdots(二項演算子)", "$a_1 + a_2 + \dots + a_n$", "a_...
"賢いdots(多項並べ)", "$a_1 a_2 \dots a_n$", "a_1 a_2 \\...
"賢いdots(多重積分)", "$\int \dots \int $", "\\int \\dot...
"dotsc (commas)", "$a_1,\dotsc$", "a_1,\\dotsc"
"dotsb (binary op. or relations)", "$a_1 + \dotsb$", "a_...
"dotsm (multiplications)", "$a_1 \dotsm$", "a_1 \\dotsm"
"dotsi (integrals)", "$\int \dotsi$", "\\int \\dotsi"
ギリシャ文字(小文字,大文字・立体,大文字・斜体)
===================================================
.. csv-table:: Greek letters
:header: "表示/入力", "表示/入力", "表示/入力", "表示/入...
"$\alpha$ \\alpha", "$\eta$ \\eta", "$\nu$ \\nu", "$\tau...
"$\beta$ \\beta", "$\theta$ \\theta", "$\xi$ \\xi", "$\u...
"$\gamma$ \\gamma", "$\iota$ \\iota", "omicron", "$\phi$...
"$\delta$ \\delta", "$\kappa$ \\kappa", "$\pi$ \\pi", "$...
"$\epsilon$ \\epsilon", "$\lambda$ \\lambda", "$\rho$ \\...
"$\zeta$ \\zeta", "$\mu$ \\mu", "$\sigma$ \\sigma", "$\o...
"$\Gamma$ \\Gamma", "$\Theta$ \\Theta", "$\Xi$ \\Xi", "$...
"$\Delta$ \\Delta", "$\Lambda$ \\Lambda", "$\Pi$ \\Pi", ...
" ", " ", "$\Sigma$ \\Sigma", "$\Psi$ \\Psi"
" ", " ", " ", "$\Omega$ \\Omega"
"$\varGamma$ \\varGamma", "$\varTheta$ \\varTheta", "$\v...
"$\varDelta$ \\varDelta", "$\varLambda$ \\varLambda", "$...
" ", " ", "$\varSigma$ \\varSigma", "$\varPsi$ \\varPsi"
" ", " ", " ", "$\varOmega$ \\varOmega"
数学での「数の種類分け」記号
=================================
.. csv-table::
:header: "表示", "入力", "表示", "入力", "意味", "例"
"$\mathbb{N}$", "\\mathbb{N}", "$\mathbf{N}$", "\\mathbf...
"$\mathbb{Z}$","\\mathbb{Z}", "$\mathbf{Z}$", "\\mathbf{...
"$\mathbb{Q}$","\\mathbb{Q}", "$\mathbf{Q}$", "\\mathbf{...
"$\mathbb{R}$","\\mathbb{R}", "$\mathbf{R}$", "\\mathbf{...
"$\mathbb{C}$","\\mathbb{C}", "$\mathbf{C}$", "\\mathbf{...
@@reference: hooktail.maxwell.jp/bbslog/11108.html,数式掲...
@@reference: hooktail.maxwell.jp/bbslog/11307.html,数式掲...
@@reference: hooktail.maxwell.jp/bbslog/11396.html,数式掲...
@@author: CO@@
@@accept: 2006-11-27@@
@@category: その他@@
@@id: latexImpress@@
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