수식 표현 안내

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

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.

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$	http://bomber0.byus.net/mimetex/mimetex.cgi?x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}
$e^{i \pi} +1 = 0$	http://bomber0.byus.net/mimetex/mimetex.cgi?e^{i\pi}+1=0
$2\pi-3\times\frac{3\pi}{5}=\frac{\pi}{5}$	http://bomber0.byus.net/mimetex/mimetex.cgi?2\pi-3\times\frac{3\pi}{5}=\frac{\pi}{5}
$\frac{\sqrt{3}}{5}$	http://bomber0.byus.net/mimetex/mimetex.cgi?\frac{\sqrt{3}}{5}
$720\div12=60$	http://bomber0.byus.net/mimetex/mimetex.cgi?720\div12=60
$\large f^\prime(x)\ = \lim_{\Delta x\to0}\frac{f(x+\Delta x)-f(x)}{\Delta x}$	http://bomber0.byus.net/mimetex/mimetex.cgi?\large f^\prime(x)\ = \lim_{\Delta x\to0}\frac{f(x+\Delta x)-f(x)}{\Delta x}
$\Large A\ =\ \large\left( \begin{array}{c.cccc}&1&2&\cdots&n\\ \hdash1&a_{11}&a_{12}&\cdots&a_{1n}\\ 2&a_{21}&a_{22}&\cdots&a_{2n}\\ \vdots&\vdots&\vdots&\ddots&\vdots\\ n&a_{n1}&a_{n2}&\cdots&a_{nn}\end{array}\right)$	http://bomber0.byus.net/mimetex/mimetex.cgi?\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.$	http://bomber0.byus.net/mimetex/mimetex.cgi?\LARGE\tilde y=\left\{ {\ddot x\text{ if $\vec x$ odd}\atop\hat{\,\bar x+1}\text{ if even}}\right.
$\Large\left.\begin{eqnarray} x+y+z&=&3\\2y&=&x+z\\2x+y&=&z\end{eqnarray}\right\}$	http://bomber0.byus.net/mimetex/mimetex.cgi?\Large\left.\begin{eqnarray} x+y+z&=&3\\2y&=&x+z\\2x+y&=&z\end{eqnarray}\right\}
$\Large f(x)=\int_{-\infty}^x e^{-t^2}dt$	http://bomber0.byus.net/mimetex/mimetex.cgi?\Large f(x)=\int_{-\infty}^x e^{-t^2}dt
$\Large\begin{array}{rccclBCB} &f&\longr[75]^{\alpha:{\normalsize f\rightar~g}}&g\\ \large\gamma&\longd[50]&&\longd[50]&\large\gamma\\ &u&\longr[75]_\beta&v\end{array}$	http://bomber0.byus.net/mimetex/mimetex.cgi?\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}
$e^x=\lim_{n\to\infty} \left(1+\frac~xn\right)^n$	http://bomber0.byus.net/mimetex/mimetex.cgi?e^x=\lim_{n\to\infty} \left(1+\frac~xn\right)^n
$\Large\overbrace{a,...,a}^{\text{k a^,s}}, \underbrace{b,...,b}_{\text{l b^,s}}\hspace{10} \large\underbrace{\overbrace{a...a}^{\text{k a^,s}}, \overbrace{b...b}^{\text{l b^,s}}}_{\text{k+l elements}}$	http://bomber0.byus.net/mimetex/mimetex.cgi?\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}}
$\int e^{-\frac{x^2}{2}} dx$	http://bomber0.byus.net/mimetex/mimetex.cgi?\int%20e^{-\frac{x^2}{2}}%20dx
$\epsilon$	http://bomber0.byus.net/mimetex/mimetex.cgi?\epsilon
$\delta$	http://bomber0.byus.net/mimetex/mimetex.cgi?\delta
$\Delta=b^2-4ac$	http://bomber0.byus.net/mimetex/mimetex.cgi?\Delta=b^2-4ac


$\normalsize \left(\large\begin{array}{GC+23} \varepsilon_x\\\varepsilon_y\\\varepsilon_z\\\gamma_{xy}\\ \gamma_{xz}\\\gamma_{yz}\end{array}\right)\ {\Large=} \ \left[\begin{array}{CC} \begin{array}\frac1{E_{\fs{+1}x}} &-\frac{\nu_{xy}}{E_{\fs{+1}x}} &-\frac{\nu_{\fs{+1}xz}}{E_{\fs{+1}x}}\\ -\frac{\nu_{yx}}{E_y}&\frac1{E_{y}}&-\frac{\nu_{yz}}{E_y}\\ -\frac{\nu_{\fs{+1}zx}}{E_{\fs{+1}z}}& -\frac{\nu_{zy}}{E_{\fs{+1}z}} &\frac1{E_{\fs{+1}z}}\end{array} & {\LARGE 0} \\ {\LARGE 0} & \begin{array}\frac1{G_{xy}}&&\\ &\frac1{G_{\fs{+1}xz}}&\\&&\frac1{G_{yz}}\end{array} \end{array}\right] \ \left(\large\begin{array} \sigma_x\\\sigma_y\\\sigma_z\\\tau_{xy}\\\tau_{xz}\\\tau_{yz} \end{array}\right)$	http://bomber0.byus.net/mimetex/mimetex.cgi?\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 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)
ㅎ

수식 표현 안내

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\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)	http://bomber0.byus.net/mimetex/mimetex.cgi?x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}
\(e^{i \pi} +1 = 0\)	http://bomber0.byus.net/mimetex/mimetex.cgi?e^{i\pi}+1=0
\(2\pi-3\times\frac{3\pi}{5}=\frac{\pi}{5}\)	http://bomber0.byus.net/mimetex/mimetex.cgi?2\pi-3\times\frac{3\pi}{5}=\frac{\pi}{5}
\(\frac{\sqrt{3}}{5}\)	http://bomber0.byus.net/mimetex/mimetex.cgi?\frac{\sqrt{3}}{5}
\(720\div12=60\)	http://bomber0.byus.net/mimetex/mimetex.cgi?720\div12=60
\(\large f^\prime(x)\ = \lim_{\Delta x\to0}\frac{f(x+\Delta x)-f(x)}{\Delta x}\)	http://bomber0.byus.net/mimetex/mimetex.cgi?\large f^\prime(x)\ = \lim_{\Delta x\to0}\frac{f(x+\Delta x)-f(x)}{\Delta x}
\(\Large A\ =\ \large\left( \begin{array}{c.cccc}&1&2&\cdots&n\\ \hdash1&a_{11}&a_{12}&\cdots&a_{1n}\\ 2&a_{21}&a_{22}&\cdots&a_{2n}\\ \vdots&\vdots&\vdots&\ddots&\vdots\\ n&a_{n1}&a_{n2}&\cdots&a_{nn}\end{array}\right)\)	http://bomber0.byus.net/mimetex/mimetex.cgi?\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)
\(\LARGE\tilde y=\left\{ {\ddot x\text{ if $\vec x$ odd}\atop\hat{\,\bar x+1}\text{ if even}}\right.\)	http://bomber0.byus.net/mimetex/mimetex.cgi?\LARGE\tilde y=\left\{ {\ddot x\text{ if $\vec x$ odd}\atop\hat{\,\bar x+1}\text{ if even}}\right.
\(\Large\left.\begin{eqnarray} x+y+z&=&3\\2y&=&x+z\\2x+y&=&z\end{eqnarray}\right\}\)	http://bomber0.byus.net/mimetex/mimetex.cgi?\Large\left.\begin{eqnarray} x+y+z&=&3\\2y&=&x+z\\2x+y&=&z\end{eqnarray}\right\}
\(\Large f(x)=\int_{-\infty}^x e^{-t^2}dt\)	http://bomber0.byus.net/mimetex/mimetex.cgi?\Large f(x)=\int_{-\infty}^x e^{-t^2}dt
\(\Large\begin{array}{rccclBCB} &f&\longr[75]^{\alpha:{\normalsize f\rightar~g}}&g\\ \large\gamma&\longd[50]&&\longd[50]&\large\gamma\\ &u&\longr[75]_\beta&v\end{array}\)	http://bomber0.byus.net/mimetex/mimetex.cgi?\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}
\(e^x=\lim_{n\to\infty} \left(1+\frac~xn\right)^n\)	http://bomber0.byus.net/mimetex/mimetex.cgi?e^x=\lim_{n\to\infty} \left(1+\frac~xn\right)^n
\(\Large\overbrace{a,...,a}^{\text{k a^,s}}, \underbrace{b,...,b}_{\text{l b^,s}}\hspace{10} \large\underbrace{\overbrace{a...a}^{\text{k a^,s}}, \overbrace{b...b}^{\text{l b^,s}}}_{\text{k+l elements}}\)	http://bomber0.byus.net/mimetex/mimetex.cgi?\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}}
\(\int e^{-\frac{x^2}{2}} dx\)	http://bomber0.byus.net/mimetex/mimetex.cgi?\int%20e^{-\frac{x^2}{2}}%20dx
\(\epsilon\)	http://bomber0.byus.net/mimetex/mimetex.cgi?\epsilon
\(\delta\)	http://bomber0.byus.net/mimetex/mimetex.cgi?\delta
\(\Delta=b^2-4ac\)	http://bomber0.byus.net/mimetex/mimetex.cgi?\Delta=b^2-4ac


\(\normalsize \left(\large\begin{array}{GC+23} \varepsilon_x\\\varepsilon_y\\\varepsilon_z\\\gamma_{xy}\\ \gamma_{xz}\\\gamma_{yz}\end{array}\right)\ {\Large=} \ \left[\begin{array}{CC} \begin{array}\frac1{E_{\fs{+1}x}} &-\frac{\nu_{xy}}{E_{\fs{+1}x}} &-\frac{\nu_{\fs{+1}xz}}{E_{\fs{+1}x}}\\ -\frac{\nu_{yx}}{E_y}&\frac1{E_{y}}&-\frac{\nu_{yz}}{E_y}\\ -\frac{\nu_{\fs{+1}zx}}{E_{\fs{+1}z}}& -\frac{\nu_{zy}}{E_{\fs{+1}z}} &\frac1{E_{\fs{+1}z}}\end{array} & {\LARGE 0} \\ {\LARGE 0} & \begin{array}\frac1{G_{xy}}&&\\ &\frac1{G_{\fs{+1}xz}}&\\&&\frac1{G_{yz}}\end{array} \end{array}\right] \ \left(\large\begin{array} \sigma_x\\\sigma_y\\\sigma_z\\\tau_{xy}\\\tau_{xz}\\\tau_{yz} \end{array}\right)\)	http://bomber0.byus.net/mimetex/mimetex.cgi?\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)