- 追加された行はこの色です。
- 削除された行はこの色です。
#rst2hooktail_source
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LaTeX初級テンプレート
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by LaTeX友の会・事務局 since 2006-08-06
.. csv-table:: あああ
.. csv-table:: 数式のテンプレート
:header: "表示項目", "原稿表示", "TeX表示"
"分数 式番号","y=a/x=\\frac{a}{x} \\tag{88}"," $y=a/x=\frac{a}{x} \tag{88} $ "
"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!}{(n-r)!r!},"," $_{\it n}\mathrm{C}_{\it r} = \frac{n!}{(n-r)!r!},$ "
"1次微分","\\dot x^{\\prime} = dx/dt
=\\frac{d x(t)}{d t}
=\\frac{d}{d t}\\left(x(t)\\right),"," $ \dot x = x^{\prime} = d x/d t=\frac{d x(t)}{d t}=\frac{d}{d t}\left(x(t)\right), $ "
"2次微分","\\ddot x^{\\prime \\prime} = d^{2}x/dt^{2}
=\\frac{d^{2} x(t)}{d t^{2}}
=\\frac{d}{d t^{2}}\\left(x(t)\\right),"," $ \ddot x = x^{\prime} = d^{2} x/d t^{2}=\frac{d^{2} x(t)}{d t^{2}}=\frac{d^{2}}{d t^{2}}\left(x(t)\right), $ "
"積分 ","\\int f(x)dx, \\ g(x)=\\int^{x} f(x')dx', \\ \\int_{\\alpha}^{\\beta} f(x)dx."," $ \int f(x)dx, \ g(x)=\int^{x} f(x')dx', \ \int_{\alpha}^{\beta} f(x)dx. $ "
"面積分，線積分 \\rm≡\\mathrm","\\int\\mspace{-11mu}\\int_{S} f(x,y)\\mspace{2mu}{\\rm d}x \\mspace{2mu}\\rm d}y, \\quad \\oint_{C} f(z){\\rm d}z."," $ \int\mspace{-11mu}\int_{S} f(x,y) \mspace{2mu}{\rm d} x \mspace{2mu}{\rm d}y, \quad \oint_{C} f(z){\rm d}z. $ "
"偏微分 ","\\frac{\\partial f(x,y)}{\\partial x} =\\partial_{x}f(x,y)=f_{x}(x,y),"," $ \frac{\partial f(x,y)}{\partial x} =\partial_{x}f(x,y)=f_{x}(x,y), $ "
"2点間のヴェクタ(上の長い矢) ","\\cos\\left(\\angle \\mathrm{AOB}\\right)= \\frac{\\overrightarrow{\\mathrm{OA}}\\cdot \\overrightarrow{\\mathrm{OB}}}{| \\overrightarrow{\\mathrm{OA}}| \\cdot|\\overrightarrow{\\mathrm{OB}}|}. "," $ \cos\left(\angle \mathrm{AOB}\right)=\frac{\overrightarrow{\mathrm{OA}}\cdot\overrightarrow{\mathrm{OB}}}{|\overrightarrow{\mathrm{OA}}|\cdot|\overrightarrow{\mathrm{OB}}|}.$ "
"ヴェクタ(上→，太斜体) \\bm≡\boldmath","\\vec A &= A_x\\vec e_x +A_y\\vec e_y +A_z\\vec e_z, \\\\ \\bm{A} &=A_x\\bm{i} +A_{y}\\mspace{3mu}\\bm{j} +A_z\\bm{k},","$ \vec A &= A_x\vec e_x +A_y\vec e_y+A_z\vec e_z, \\ \bm{A} &=A_x\bm{i}+A_{y}\mspace{3mu}\bm{j}+A_z\bm{k}.$"
"ヴェクタ内積 dot-product","\\vec A\\cdot\\vec B \\equiv A_xB_x +A_yB_y +A_zB_z.","$\vec A\cdot\vec B &\equiv A_xB_x +A_yB_y +A_zB_z. \\ &\text{(inner product or dot product)} $"
"ヴェクタ外積 cross-product","\\vec A \\times \\vec B &\\equiv \\begin{vmatrix}\\vec e_{x} & \\vec e_{y} & \\vec e_{z} \\\\ A_x & A_y & A_z \\\ B_x & B_y & B_z \\end{vmatrix}.","$\vec A \times \vec B &\equiv \begin{vmatrix}\vec e_{x} & \vec e_{y} & \vec e_{z} \\ A_x & A_y & A_z \\ B_x & B_y & B_z \end{vmatrix}. \\ &\text{(outer product or cross product)} $"
"nabla演算子 ","\\overrightarrow{\\bigtriangledown} \\equiv \\frac{\\partial}{\\partial x}\\vec e_{x} +\\frac{\\partial}{\\partial y}\\vec e_{y} +\\frac{\\partial }{\\partial z}\\vec e_{z}, \\quad \\nabla \\equiv \\frac{\\partial}{\\partial x}\\bm{e}_{x} +\\frac{\partial}{\\partial y}\\bm{e}_{y} +\\frac{\\partial }{\\partial z}\\bm{e}_{z}. ","$ \overrightarrow{\bigtriangledown} &\equiv \frac{\partial}{\partial x}\vec e_{x} +\frac{\partial}{\partial y}\vec e_{y} +\frac{\partial }{\partial z}\vec e_{z}, \\ \nabla &\equiv \frac{\partial}{\partial x}\bm{e}_{x} +\frac{\partial}{\partial y}\bm{e}_{y} +\frac{\partial }{\partial z}\bm{e}_{z}. $"
"gradient:勾配","\\mathrm{grad}\\ f(\vec r)=\\overrightarrow{\\bigtriangledown} f(\\vec r) =\\frac{\\partial f(\\vec r)}{\\partial x}\\vec e_{x} +\\frac{\\partial f(\\vec r)}{\\partial y}\\vec e_{y} +\\frac{\partial f(\\vec r)}{\\partial z}\\vec e_{z},","$ \mathrm{grad}\ f(\vec r)=\overrightarrow{\bigtriangledown} f(\vec r) =\frac{\partial f(\vec r)}{\partial x}\vec e_{x} +\frac{\partial f(\vec r)}{\partial y}\vec e_{y} +\frac{\partial f(\vec r)}{\partial z}\vec e_{z}, $"
"divergence:発散","\\mathrm{div}\\ \\vec E(\\vec r,t)= \\overrightarrow{\\bigtriangledown} \\cdot \\vec E(\\vec r,t) =\\frac{\\partial E_{x}(\\vec r,t)}{\\partial x} +\\frac{\\partial E_{y}(\\vec r,t)}{\\partial y} +\\frac{\\partial E_{z}(\\vec r,t)}{\\partial z},","$\mathrm{div}\ \vec E(\vec r,t)= \overrightarrow{\bigtriangledown} \cdot \vec E(\vec r,t) =\frac{\partial E_{x}(\vec r,t)}{\partial x} +\frac{\partial E_{y}(\vec r,t)}{\partial y} +\frac{\partial E_{z}(\vec r,t)}{\partial z}, $ "
"rotation:回転","\\mathrm{rot}\\ \\vec H(\\vec r,t)= \\overrightarrow{\bigtriangledown} \\times \\vec H(\\vec r,t) =\\begin{vmatrix}\\vec e_{x} & \\vec e_{y} & \\vec e_{z}\\\ \\dfrac{\\partial}{\\partial x} & \\dfrac{\\partial}{\\partial y} & \\dfrac{\partial}{\\partial z} \\\ H_{x}(\\vec r,t) & H_{y}(\\vec r,t) & H_{z}(\\vec r,t) \\end{vmatrix}.","$\mathrm{rot}\ \vec H(\vec r,t)= \overrightarrow{\bigtriangledown} \times \vec H(\vec r,t) =\begin{vmatrix}\vec e_{x} & \vec e_{y} & \vec e_{z}\\ \dfrac{\partial}{\partial x} & \dfrac{\partial}{\partial y} & \dfrac{\partial}{\partial z} \\ H_{x}(\vec r,t) & H_{y}(\vec r,t) & H_{z}(\vec r,t) \end{vmatrix}.$"
"Laplacian(ラプラシアン：ラプラスの演算子)","\\bigtriangleup &\\equiv \\left( \\frac{\\partial^2}{\\partial x^2} +\\frac{\\partial^2}{\\partial y^2} +\\frac{\\partial^2}{\\partial z^2}\\right) \\\\ &= \\overrightarrow{\\bigtriangledown}^2 \\\\ &= \\mathrm{div}\\cdot\\mathrm{grad}.","$\bigtriangleup &\equiv \left( \frac{\partial^2}{\partial x^2} +\frac{\partial^2}{\partial y^2} +\frac{\partial^2}{\partial z^2}\right)\\ &= \overrightarrow{\bigtriangledown}^{2} \\ &= \mathrm{div}\cdot\mathrm{grad}.$"
"ラプラスの方程式 <br>ポアッソンの方程式","\\bigtriangleup \\Psi(\vec r) &=0 && \\leftarrow \text{Laplace eq.} & \\Psi(\vec r): \quad \\text{harmonic function} \\\\ \bigtriangleup \\Phi(\vec r) & = q(\vec r) && \leftarrow \\text{Poisson's equation}","$\bigtriangleup \Psi(\vec r) &=0 && \leftarrow \text{Laplace eq.} \quad \Psi(\vec r): \text{harmonic function} \\ \bigtriangleup \Phi(\vec r) & = q(\vec r) && \leftarrow \text{Poisson's equation}$"
"複素数 成分により表示","z=x+\\mathrm{i}y =r\\mathrm{e}^{+\\mathrm{i}\\theta} =r\\left(\\cos(\\theta)+\\mathrm{i}\\sin(\\theta)\\right), \\\\ \\bar z =x-\\mathrm{i}y=r\\mathrm{e}^{-\\mathrm{i}\\theta} =r\\left(\\cos(\\theta)-\\mathrm{i}\\sin(\\theta)\\right).","$z=x+\mathrm{i}y=r\mathrm{e}^{+\mathrm{i}\theta} =r\left(\cos(\theta)+\mathrm{i}\sin(\theta)\right), \\ \bar z=x-\mathrm{i}y=r\mathrm{e}^{-\mathrm{i}\theta} = r\left(\cos(\theta)-\mathrm{i}\sin(\theta)\right),$"
"オイラの公式","\\left\\{ \\begin{array}{l c} \\mathrm{e}^{\\mathrm{i}\\theta} & =\\cos(\\theta)+\\mathrm{i}\\sin(\\theta), \\\\ \\mathrm{e}^{-\\mathrm{i}\\theta} & =\cos(\\theta)-\\mathrm{i}\\sin(\\theta).\\end{array} \\right.","$\left\{ \begin{array}{l c} \mathrm{e}^{\mathrm{i}\theta} & =\cos(\theta)+\mathrm{i}\sin(\theta), \\ \mathrm{e}^{-\mathrm{i}\theta} & =\cos(\theta)-\mathrm{i}\sin(\theta).\end{array} \right.$"
"オイラの逆公式","\\left\\{ \\begin{array}{l c} \\cos(\theta) &=\\dfrac{\\mathrm{e}^{\\mathrm{i}\\theta} +\\mathrm{e}^{-\\mathrm{i}\\theta}}{2},\\\\ \\sin(\theta) &=\\dfrac{\\mathrm{e}^{\\mathrm{i}\\theta} -\\mathrm{e}^{-\\mathrm{i}\\theta}}{2\\mathrm{i}}, \\end{array} \\right.","$\left\{ \begin{array}{l c} \cos(\theta) &=\dfrac{\mathrm{e}^{\mathrm{i}\theta} +\mathrm{e}^{-\mathrm{i}\theta}}{2},\\ \sin(\theta) &=\dfrac{\mathrm{e}^{\mathrm{i}\theta} -\mathrm{e}^{-\mathrm{i}\theta}}{2\mathrm{i}}, \end{array} \right.$"
"指数関数と双曲線関数","\\left\\{ \\begin{array}{l c} \\mathrm{e}^{x} &=\\cosh(x)+\\sinh(x), \\\\ \\mathrm{e}^{-x} &=\\cosh(x)-\\sinh(x), \\end{array} \\right. \\\\ \\left\\{ \\begin{array}{lcc} \\cosh(x) &=\\dfrac{\\mathrm{e}^{x}+\\mathrm{e}^{-x}}{2}, & \\\\ \\sinh(x) &= \\dfrac{\\mathrm{e}^{x}-\\mathrm{e}^{-x}}{2}, & \\\\ \\tanh(x) &= \\dfrac{\\sinh(x)}{\\cosh(x)} &= \dfrac{\\mathrm{e}^{x}-\\mathrm{e}^{-x}} {\\mathrm{e}^{x}+\\mathrm{e}^{-x}}. \\end{array} \\right.","$\left\{ \begin{array}{l c} \mathrm{e}^{x} &=\cosh(x)+\sinh(x), \\ \mathrm{e}^{-x} &=\cosh(x)-\sinh(x), \end{array} \right. \\ \left\{ \begin{array}{lcc} \cosh(x) &=\dfrac{\mathrm{e}^{x}+\mathrm{e}^{-x}}{2}, & \\ \sinh(x) &= \dfrac{\mathrm{e}^{x}-\mathrm{e}^{-x}}{2}, & \\ \tanh(x) &= \dfrac{\sinh(x)}{\cosh(x)} &= \dfrac{\mathrm{e}^{x}-\mathrm{e}^{-x}} {\mathrm{e}^{x}+\mathrm{e}^{-x}}. \end{array} \right.$"
＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝
.. csv-table:: Greek letters
.. csv-table:: Greek lowercase letters
:header: "Type", "See", "見出し3", "見出し1", "見出し2", "見出し3", "見出し1", "見出し2"
"\\alpha", "$\alpha$", "\\eta", "$\eta$", "\\nu", "$\nu$", "\\tau", "$\tau$"
"\\beta", "$\alpha$", "\\theta", "$\theta$", "\\xi", "$\xi$", "\\upsilon", "$\upsilon$"
"\\beta", "$\beta$", "\\theta", "$\theta$", "\\xi", "$\xi$", "\\upsilon", "$\upsilon$"
"\\gamma", "$\gamma$", "\\iota", "$\iota$", "omega", "", "\\phi", "$\phi$"
"\\delta", "$\delta$", "\\kappa", "$\kappa$", "\\pi", "$\pi$", "\\chi", "$\chi$"
"\", "$$", "\", "$$", "\", "$$", "\", "$$"
"\", "$$", "\", "$$", "\", "$$", "\", "$$"
"\", "$$", "\", "$$", "\", "$$", "\", "$$"
"\", "$$", "\", "$$", "\", "$$", "\", "$$"
"\", "$$", "\", "$$", "\", "$$", "\", "$$"
"\", "$$", "\", "$$", "\", "$$", "\", "$$"
"\", "$$", "\", "$$", "\", "$$", "\", "$$"
"\", "$$", "\", "$$", "\", "$$", "\", "$$"
■14■ 良く使うギリシャ文字
--------------------------- ◇原稿の表示◇ ---------------------------+
<pre> \alpha \eta \nu \tau
\beta \theta \xi \upsilon
\gamma \iota \phi
\delta \kappa \pi \chi
\epsilon \lambda \rho \psi
\zeta \mu \sigma \omega
\Gamma \Theta \Xi \Upsilon
\Delta \Lambda \Pi \Phi
\Sigma \Psi
\Omega
\varGamma \varTheta \varXi \varUpsilon
\varDelta \varLambda \varPi \varPhi
\varSigma \varPsi
\varOmega
</pre>--------------------------- ◇TeXの表示◇ ----------------------------+
<tex>
\begin{array}{cc|cc|cc|cc|}
alpha &\alpha &eta &\eta &nu &\nu &tau &\tau \\
beta &\beta &theta &\theta &xi &\xi &upsilon &\upsilon \\
gamma &\gamma &iota &\iota &omicron & &phi &\phi \\
delta &\delta &kappa &\kappa &pi &\pi &chi &\chi \\
epsilon &\epsilon &lambda &\lambda &rho &\rho &psi &\psi \\
zeta &\zeta &mu &\mu &sigma &\sigma &omega &\omega \\
\cline{1-8}
\text{Gamma} &\Gamma &\text{Theta} &\Theta &\text{Xi} &\Xi &\text{Upsilon} &\Upsilon \\
\text{Delta} &\Delta &\text{Lambda} &\Lambda &\text{Pi} &\Pi &\text{Phi} &\Phi\\
\cline{1-4}
& & & &\text{Sigma} &\Sigma &\text{Psi} &\Psi \\
\cline{5-6}
& & & & & &\text{Omega} &\Omega \\
\cline{1-8}
varGamma &\varGamma &varTheta &\varTheta &varXi &\varXi &varUpsilon &\varUpsilon \\
varDelta &\varDelta &varLambda &\varLambda &varPi &\varPi &varPhi &\varPhi\\
\cline{1-4}
& & & &varSigma &\varSigma &varPsi &\varPsi \\
\cline{5-6}
& & & & & &varOmega &\varOmega \\
\cline{1-8}
\end{array}
</tex>
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@@author:mNeji@@
@@accept: 2006-08-28@@
@@category: script@@
@@id: latexTemplate@@
記事ソース/れいてふ・てんぷれーと のバックアップ差分(No.18)
