"수식 표현 안내"의 두 판 사이의 차이

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LaTeX 명령어 테스트는 http://www.forkosh.dreamhost.com/source_mimetex.html#preview 에서 할 수 있음.
 
LaTeX 명령어 테스트는 http://www.forkosh.dreamhost.com/source_mimetex.html#preview 에서 할 수 있음.
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LaTeX 명령예
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* <math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>
 
* <math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>
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* x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}
 
  
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<math>e^{i \pi} +1 = 0</math>
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# x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}
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* <math>e^{i \pi} +1 = 0</math>
  
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e^{i\pi}+1=0
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# e^{i\pi}+1=0
  
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<math>2\pi-3\times\frac{3\pi}{5}=\frac{\pi}{5}</math>
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* <math>2\pi-3\times\frac{3\pi}{5}=\frac{\pi}{5}</math>
  
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2\pi-3\times\frac{3\pi}{5}=\frac{\pi}{5}
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# 2\pi-3\times\frac{3\pi}{5}=\frac{\pi}{5}
  
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<math>\frac{\sqrt{3}}{5}</math>
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* <math>\frac{\sqrt{3}}{5}</math>
  
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\frac{\sqrt{3}}{5}
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# \frac{\sqrt{3}}{5}
  
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<math>720\div12=60</math>
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* <math>720\div12=60</math>
  
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720\div12=60
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# 720\div12=60
  
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<math>\large f^\prime(x)\ =        \lim_{\Delta x\to0}\frac{f(x+\Delta x)-f(x)}{\Delta x}</math>
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* <math>\large f^\prime(x)\ =        \lim_{\Delta x\to0}\frac{f(x+\Delta x)-f(x)}{\Delta x}</math>
  
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\large f^\prime(x)\ =         \lim_{\Delta x\to0}\frac{f(x+\Delta x)-f(x)}{\Delta x}
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# \large f^\prime(x)\ =         \lim_{\Delta x\to0}\frac{f(x+\Delta x)-f(x)}{\Delta x}
  
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<math>\Large A\ =\ \large\left(        \begin{array}{c.cccc}&1&2&\cdots&n\\        \hdash1&a_{11}&a_{12}&\cdots&a_{1n}\\        2&a_{21}&a_{22}&\cdots&a_{2n}\\        \vdots&\vdots&\vdots&\ddots&\vdots\\        n&a_{n1}&a_{n2}&\cdots&a_{nn}\end{array}\right)</math>
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* <math>\Large A\ =\ \large\left(        \begin{array}{c.cccc}&1&2&\cdots&n\\        \hdash1&a_{11}&a_{12}&\cdots&a_{1n}\\        2&a_{21}&a_{22}&\cdots&a_{2n}\\        \vdots&\vdots&\vdots&\ddots&\vdots\\        n&a_{n1}&a_{n2}&\cdots&a_{nn}\end{array}\right)</math>
  
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\Large A\ =\ \large\left(         \begin{array}{c.cccc}&1&2&\cdots&n\\         \hdash1&a_{11}&a_{12}&\cdots&a_{1n}\\         2&a_{21}&a_{22}&\cdots&a_{2n}\\         \vdots&\vdots&\vdots&\ddots&\vdots\\         n&a_{n1}&a_{n2}&\cdots&a_{nn}\end{array}\right)
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# \Large A\ =\ \large\left(         \begin{array}{c.cccc}&1&2&\cdots&n\\         \hdash1&a_{11}&a_{12}&\cdots&a_{1n}\\         2&a_{21}&a_{22}&\cdots&a_{2n}\\         \vdots&\vdots&\vdots&\ddots&\vdots\\         n&a_{n1}&a_{n2}&\cdots&a_{nn}\end{array}\right)
  
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<math>\LARGE\tilde y=\left\{  {\ddot x\text{ if $\vec x$ odd}\atop\hat{\,\bar x+1}\text{ if even}}\right.</math>
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* <math>\LARGE\tilde y=\left\{  {\ddot x\text{ if $\vec x$ odd}\atop\hat{\,\bar x+1}\text{ if even}}\right.</math>
  
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\LARGE\tilde y=\left\{  {\ddot x\text{ if $\vec x$ odd}\atop\hat{\,\bar x+1}\text{ if even}}\right.
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# \LARGE\tilde y=\left\{  {\ddot x\text{ if $\vec x$ odd}\atop\hat{\,\bar x+1}\text{ if even}}\right.
  
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<math>\Large\left.\begin{eqnarray}    x+y+z&=&3\\2y&=&x+z\\2x+y&=&z\end{eqnarray}\right\}</math>
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* <math>\Large\left.\begin{eqnarray}    x+y+z&=&3\\2y&=&x+z\\2x+y&=&z\end{eqnarray}\right\}</math>
  
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\Large\left.\begin{eqnarray}    x+y+z&=&3\\2y&=&x+z\\2x+y&=&z\end{eqnarray}\right\}
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# \Large\left.\begin{eqnarray}    x+y+z&=&3\\2y&=&x+z\\2x+y&=&z\end{eqnarray}\right\}
  
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<math>\Large f(x)=\int_{-\infty}^x e^{-t^2}dt</math>
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* <math>\int e^{-\frac{x^2}{2}} dx</math>
  
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\Large f(x)=\int_{-\infty}^x e^{-t^2}dt
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# \int%20e^{-\frac{x^2}{2}}%20dx
  
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<math>\int e^{-\frac{x^2}{2}} dx</math>
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<math>e^x=\lim_{n\to\infty} \left(1+\frac~xn\right)^n</math>
  
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\int%20e^{-\frac{x^2}{2}}%20dx
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# e^x=\lim_{n\to\infty} \left(1+\frac~xn\right)^n
  
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<math>e^x=\lim_{n\to\infty} \left(1+\frac~xn\right)^n</math>
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* <math>\Large\begin{array}{rccclBCB}    &f&\longr[75]^{\alpha:{\normalsize f\rightar~g}}&g\\    \large\gamma&\longd[50]&&\longd[50]&\large\gamma\\   &u&\longr[75]_\beta&v\end{array}</math>
  
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e^x=\lim_{n\to\infty} \left(1+\frac~xn\right)^n
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# \Large\begin{array}{rccclBCB}    &f&\longr[75]^{\alpha:{\normalsize f\rightar~g}}&g\\    \large\gamma&\longd[50]&&\longd[50]&\large\gamma\\    &u&\longr[75]_\beta&v\end{array}
  
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<math>\Large\begin{array}{rccclBCB}    &f&\longr[75]^{\alpha:{\normalsize f\rightar~g}}&g\\    \large\gamma&\longd[50]&&\longd[50]&\large\gamma\\    &u&\longr[75]_\beta&v\end{array}</math>
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* <math>\Large\overbrace{a,...,a}^{\text{k a^,s}},   \underbrace{b,...,b}_{\text{l b^,s}}\hspace{10}   \large\underbrace{\overbrace{a...a}^{\text{k a^,s}},    \overbrace{b...b}^{\text{l b^,s}}}_{\text{k+l elements}}</math>
  
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\Large\begin{array}{rccclBCB}    &f&\longr[75]^{\alpha:{\normalsize f\rightar~g}}&g\\    \large\gamma&\longd[50]&&\longd[50]&\large\gamma\\    &u&\longr[75]_\beta&v\end{array}
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# \Large\overbrace{a,...,a}^{\text{k a^,s}},    \underbrace{b,...,b}_{\text{l b^,s}}\hspace{10}    \large\underbrace{\overbrace{a...a}^{\text{k a^,s}},    \overbrace{b...b}^{\text{l b^,s}}}_{\text{k+l elements}}
  
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<math>\Large\overbrace{a,...,a}^{\text{k a^,s}},    \underbrace{b,...,b}_{\text{l b^,s}}\hspace{10}   \large\underbrace{\overbrace{a...a}^{\text{k a^,s}},    \overbrace{b...b}^{\text{l b^,s}}}_{\text{k+l elements}}</math>
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* <math>\normalsize        \left(\large\begin{array}{GC+23}        \varepsilon_x\\\varepsilon_y\\\varepsilon_z\\\gamma_{xy}\\        \gamma_{xz}\\\gamma_{yz}\end{array}\right)\ {\Large=}        \ \left[\begin{array}{CC}        \begin{array}\frac1{E_{\fs{+1}x}}        &-\frac{\nu_{xy}}{E_{\fs{+1}x}}         &-\frac{\nu_{\fs{+1}xz}}{E_{\fs{+1}x}}\\         -\frac{\nu_{yx}}{E_y}&\frac1{E_{y}}&-\frac{\nu_{yz}}{E_y}\\        -\frac{\nu_{\fs{+1}zx}}{E_{\fs{+1}z}}&        -\frac{\nu_{zy}}{E_{\fs{+1}z}}         &\frac1{E_{\fs{+1}z}}\end{array} & {\LARGE 0} \\        {\LARGE 0} & \begin{array}\frac1{G_{xy}}&&\\        &\frac1{G_{\fs{+1}xz}}&\\&&\frac1{G_{yz}}\end{array}        \end{array}\right]        \ \left(\large\begin{array}         \sigma_x\\\sigma_y\\\sigma_z\\\tau_{xy}\\\tau_{xz}\\\tau_{yz}        \end{array}\right)</math>
  
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\Large\overbrace{a,...,a}^{\text{k a^,s}},    \underbrace{b,...,b}_{\text{l b^,s}}\hspace{10}    \large\underbrace{\overbrace{a...a}^{\text{k a^,s}},    \overbrace{b...b}^{\text{l b^,s}}}_{\text{k+l elements}}
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# \normalsize         \left(\large\begin{array}{GC+23}         \varepsilon_x\\\varepsilon_y\\\varepsilon_z\\\gamma_{xy}\\         \gamma_{xz}\\\gamma_{yz}\end{array}\right)\ {\Large=}         \ \left[\begin{array}{CC}         \begin{array}\frac1{E_{\fs{+1}x}}         &-\frac{\nu_{xy}}{E_{\fs{+1}x}}         &-\frac{\nu_{\fs{+1}xz}}{E_{\fs{+1}x}}\\         -\frac{\nu_{yx}}{E_y}&\frac1{E_{y}}&-\frac{\nu_{yz}}{E_y}\\         -\frac{\nu_{\fs{+1}zx}}{E_{\fs{+1}z}}&         -\frac{\nu_{zy}}{E_{\fs{+1}z}}         &\frac1{E_{\fs{+1}z}}\end{array} & {\LARGE 0} \\         {\LARGE 0} & \begin{array}\frac1{G_{xy}}&&\\         &\frac1{G_{\fs{+1}xz}}&\\&&\frac1{G_{yz}}\end{array}         \end{array}\right]         \ \left(\large\begin{array}         \sigma_x\\\sigma_y\\\sigma_z\\\tau_{xy}\\\tau_{xz}\\\tau_{yz}         \end{array}\right)
  
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<math>\normalsize        \left(\large\begin{array}{GC+23}        \varepsilon_x\\\varepsilon_y\\\varepsilon_z\\\gamma_{xy}\\        \gamma_{xz}\\\gamma_{yz}\end{array}\right)\ {\Large=}        \ \left[\begin{array}{CC}        \begin{array}\frac1{E_{\fs{+1}x}}        &-\frac{\nu_{xy}}{E_{\fs{+1}x}}        &-\frac{\nu_{\fs{+1}xz}}{E_{\fs{+1}x}}\\        -\frac{\nu_{yx}}{E_y}&\frac1{E_{y}}&-\frac{\nu_{yz}}{E_y}\\        -\frac{\nu_{\fs{+1}zx}}{E_{\fs{+1}z}}&        -\frac{\nu_{zy}}{E_{\fs{+1}z}}        &\frac1{E_{\fs{+1}z}}\end{array} & {\LARGE 0} \\        {\LARGE 0} & \begin{array}\frac1{G_{xy}}&&\\        &\frac1{G_{\fs{+1}xz}}&\\&&\frac1{G_{yz}}\end{array}        \end{array}\right]        \ \left(\large\begin{array}        \sigma_x\\\sigma_y\\\sigma_z\\\tau_{xy}\\\tau_{xz}\\\tau_{yz}        \end{array}\right)</math>
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\normalsize         \left(\large\begin{array}{GC+23}         \varepsilon_x\\\varepsilon_y\\\varepsilon_z\\\gamma_{xy}\\         \gamma_{xz}\\\gamma_{yz}\end{array}\right)\ {\Large=}         \ \left[\begin{array}{CC}         \begin{array}\frac1{E_{\fs{+1}x}}         &-\frac{\nu_{xy}}{E_{\fs{+1}x}}         &-\frac{\nu_{\fs{+1}xz}}{E_{\fs{+1}x}}\\         -\frac{\nu_{yx}}{E_y}&\frac1{E_{y}}&-\frac{\nu_{yz}}{E_y}\\         -\frac{\nu_{\fs{+1}zx}}{E_{\fs{+1}z}}&         -\frac{\nu_{zy}}{E_{\fs{+1}z}}         &\frac1{E_{\fs{+1}z}}\end{array} & {\LARGE 0} \\         {\LARGE 0} & \begin{array}\frac1{G_{xy}}&&\\         &\frac1{G_{\fs{+1}xz}}&\\&&\frac1{G_{yz}}\end{array}         \end{array}\right]         \ \left(\large\begin{array}         \sigma_x\\\sigma_y\\\sigma_z\\\tau_{xy}\\\tau_{xz}\\\tau_{yz}         \end{array}\right)
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 http://www.sitmo.com/latex/ 에서 수식 이미지를 복사해서 붙여 넣어도 됨. 위 방법과 동일하게 LaTeX 기반입니다.
 
 http://www.sitmo.com/latex/ 에서 수식 이미지를 복사해서 붙여 넣어도 됨. 위 방법과 동일하게 LaTeX 기반입니다.

2008년 10월 27일 (월) 14:38 판

왼쪽의 수식을 입력하고 싶으면, 오른쪽의 주소를 적당히 변형, 복사하여, '삽입'->'이미지 첨부'->'외부 URL로 첨부하기' 를 선택. (powered by MIMETEX)

[1]

수식의 구조는 http://bomber0.byus.net/mimetex/mimetex.cgi? + LaTeX 명령어

LaTeX 명령어 테스트는 http://www.forkosh.dreamhost.com/source_mimetex.html#preview 에서 할 수 있음.

 

LaTeX 명령예

 

  • \(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)
  1. x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}
  • \(e^{i \pi} +1 = 0\)
  1. e^{i\pi}+1=0
  • \(2\pi-3\times\frac{3\pi}{5}=\frac{\pi}{5}\)
  1. 2\pi-3\times\frac{3\pi}{5}=\frac{\pi}{5}
  • \(\frac{\sqrt{3}}{5}\)
  1. \frac{\sqrt{3}}{5}
  • \(720\div12=60\)
  1. 720\div12=60
  • \(\large f^\prime(x)\ = \lim_{\Delta x\to0}\frac{f(x+\Delta x)-f(x)}{\Delta x}\)
  1. \large f^\prime(x)\ =         \lim_{\Delta x\to0}\frac{f(x+\Delta x)-f(x)}{\Delta x}
  • \(\Large A\ =\ \large\left( \begin{array}{c.cccc}&1&2&\cdots&n\\ \hdash1&a_{11}&a_{12}&\cdots&a_{1n}\\ 2&a_{21}&a_{22}&\cdots&a_{2n}\\ \vdots&\vdots&\vdots&\ddots&\vdots\\ n&a_{n1}&a_{n2}&\cdots&a_{nn}\end{array}\right)\)
  1. \Large A\ =\ \large\left(         \begin{array}{c.cccc}&1&2&\cdots&n\\         \hdash1&a_{11}&a_{12}&\cdots&a_{1n}\\         2&a_{21}&a_{22}&\cdots&a_{2n}\\         \vdots&\vdots&\vdots&\ddots&\vdots\\         n&a_{n1}&a_{n2}&\cdots&a_{nn}\end{array}\right)
  • \(\LARGE\tilde y=\left\{ {\ddot x\text{ if $\vec x$ odd}\atop\hat{\,\bar x+1}\text{ if even}}\right.\)
  1. \LARGE\tilde y=\left\{  {\ddot x\text{ if $\vec x$ odd}\atop\hat{\,\bar x+1}\text{ if even}}\right.
  • \(\Large\left.\begin{eqnarray} x+y+z&=&3\\2y&=&x+z\\2x+y&=&z\end{eqnarray}\right\}\)
  1. \Large\left.\begin{eqnarray}    x+y+z&=&3\\2y&=&x+z\\2x+y&=&z\end{eqnarray}\right\}
  • \(\int e^{-\frac{x^2}{2}} dx\)
  1. \int%20e^{-\frac{x^2}{2}}%20dx

\(e^x=\lim_{n\to\infty} \left(1+\frac~xn\right)^n\)

  1. e^x=\lim_{n\to\infty} \left(1+\frac~xn\right)^n
  • \(\Large\begin{array}{rccclBCB} &f&\longr[75]^{\alpha:{\normalsize f\rightar~g}}&g\\ \large\gamma&\longd[50]&&\longd[50]&\large\gamma\\ &u&\longr[75]_\beta&v\end{array}\)
  1. \Large\begin{array}{rccclBCB}    &f&\longr[75]^{\alpha:{\normalsize f\rightar~g}}&g\\    \large\gamma&\longd[50]&&\longd[50]&\large\gamma\\    &u&\longr[75]_\beta&v\end{array}
  • \(\Large\overbrace{a,...,a}^{\text{k a^,s}}, \underbrace{b,...,b}_{\text{l b^,s}}\hspace{10} \large\underbrace{\overbrace{a...a}^{\text{k a^,s}}, \overbrace{b...b}^{\text{l b^,s}}}_{\text{k+l elements}}\)
  1. \Large\overbrace{a,...,a}^{\text{k a^,s}},    \underbrace{b,...,b}_{\text{l b^,s}}\hspace{10}    \large\underbrace{\overbrace{a...a}^{\text{k a^,s}},    \overbrace{b...b}^{\text{l b^,s}}}_{\text{k+l elements}}
  • \(\normalsize \left(\large\begin{array}{GC+23} \varepsilon_x\\\varepsilon_y\\\varepsilon_z\\\gamma_{xy}\\ \gamma_{xz}\\\gamma_{yz}\end{array}\right)\ {\Large=} \ \left[\begin{array}{CC} \begin{array}\frac1{E_{\fs{+1}x}} &-\frac{\nu_{xy}}{E_{\fs{+1}x}} &-\frac{\nu_{\fs{+1}xz}}{E_{\fs{+1}x}}\\ -\frac{\nu_{yx}}{E_y}&\frac1{E_{y}}&-\frac{\nu_{yz}}{E_y}\\ -\frac{\nu_{\fs{+1}zx}}{E_{\fs{+1}z}}& -\frac{\nu_{zy}}{E_{\fs{+1}z}} &\frac1{E_{\fs{+1}z}}\end{array} & {\LARGE 0} \\ {\LARGE 0} & \begin{array}\frac1{G_{xy}}&&\\ &\frac1{G_{\fs{+1}xz}}&\\&&\frac1{G_{yz}}\end{array} \end{array}\right] \ \left(\large\begin{array} \sigma_x\\\sigma_y\\\sigma_z\\\tau_{xy}\\\tau_{xz}\\\tau_{yz} \end{array}\right)\)
  1. \normalsize         \left(\large\begin{array}{GC+23}         \varepsilon_x\\\varepsilon_y\\\varepsilon_z\\\gamma_{xy}\\         \gamma_{xz}\\\gamma_{yz}\end{array}\right)\ {\Large=}         \ \left[\begin{array}{CC}         \begin{array}\frac1{E_{\fs{+1}x}}         &-\frac{\nu_{xy}}{E_{\fs{+1}x}}         &-\frac{\nu_{\fs{+1}xz}}{E_{\fs{+1}x}}\\         -\frac{\nu_{yx}}{E_y}&\frac1{E_{y}}&-\frac{\nu_{yz}}{E_y}\\         -\frac{\nu_{\fs{+1}zx}}{E_{\fs{+1}z}}&         -\frac{\nu_{zy}}{E_{\fs{+1}z}}         &\frac1{E_{\fs{+1}z}}\end{array} & {\LARGE 0} \\         {\LARGE 0} & \begin{array}\frac1{G_{xy}}&&\\         &\frac1{G_{\fs{+1}xz}}&\\&&\frac1{G_{yz}}\end{array}         \end{array}\right]         \ \left(\large\begin{array}         \sigma_x\\\sigma_y\\\sigma_z\\\tau_{xy}\\\tau_{xz}\\\tau_{yz}         \end{array}\right)

 

 

 http://www.sitmo.com/latex/ 에서 수식 이미지를 복사해서 붙여 넣어도 됨. 위 방법과 동일하게 LaTeX 기반입니다.

수식 이미지 복사는 인터넷 익스플로러에서는 일단 가능한데, 파이어폭스 등의 기타 브라우저에서는 잘 안 되네요. 참고하세요.

 수식 이미지 예)

  • 1+2=3
  • \sum_{k=1}^{\infty}\frac{1}{k^2}=\frac{\pi^2}{6}
  • \int_{a}^{b}f(x)dx=F(b)-F(a)
  • \exists c \in (a,b) \quad \mathbf{s.t.} \quad f'(c)=\frac{f(b)-f(a)}{b-a}
  • E=-N\frac{d\Phi}{dt}
    •   (뜬금없이 물리)
  • \mathbf{X}=\left(\begin{array}{ccc}x_{11} & x_{12} & \ldots } & x_{22} & \ldots & \vdots & \ddots\end{array} \right)
원본 주소 "https://wiki.mathnt.net/index.php?title=수식_표현_안내&oldid=12712"