"수식 표현 안내"의 두 판 사이의 차이

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93번째 줄: 93번째 줄:
  
 
==예==
 
==예==
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* <math>\mathcal{H}om</math>
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<math>\mathcal{H}om</math>
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* <math>G\"odel</math>
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<math>G\"odel</math>
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* http://www.phil.cam.ac.uk/teaching_staff/Smith/LaTeX/other-macros/godelcorners.html
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http://www.phil.cam.ac.uk/teaching_staff/Smith/LaTeX/other-macros/godelcorners.html
  
 
<math>\chi(t)=\left(\frac{t}{p}\right)</math>
 
<math>\chi(t)=\left(\frac{t}{p}\right)</math>
105번째 줄: 105번째 줄:
 
   
 
   
  
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* <math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>
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<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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* <math>e^{i \pi} +1 = 0</math>
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<math>2\pi-3\times\frac{3\pi}{5}=\frac{\pi}{5}</math>
  
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# e^{i\pi}+1=0
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<math>\frac{\sqrt{3}}{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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* <math>\frac{\sqrt{3}}{5}</math>
 
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# \frac{\sqrt{3}}{5}
 
  
 
* <math>720\div12=60</math>
 
* <math>720\div12=60</math>
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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>
 
* <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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* <math>\Large A\ =\ \large\left(        \begin{array}{c.cccc}&1&2&\cdots&n\\     1&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\\         \hdash 1&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\\        \hdash 1&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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# \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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# \Large\left.\begin{eqnarray}    x+y+z&=&3\\2y&=&x+z\\2x+y&=&z\end{eqnarray}\right\}
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$$\Large\left.\begin{eqnarray}    x+y+z&=&3\\2y&=&x+z\\2x+y&=&z\end{eqnarray}\right\}$$
  
 
* <math>\int e^{-\frac{x^2}{2}} dx</math>
 
* <math>\int e^{-\frac{x^2}{2}} dx</math>
  
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# \int%20e^{-\frac{x^2}{2}}%20dx
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$$ \int e^{-\frac{x^2}{2}} dx$$
  
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<math>e^x=\lim_{n\to\infty} \left(1+\frac~xn\right)^n</math>
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$$e^x=\lim_{n\to\infty} \left(1+\frac{x}{n}\right)^n$$
  
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# e^x=\lim_{n\to\infty} \left(1+\frac~xn\right)^n
 
  
 
* <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>
 
* <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>

2012년 10월 22일 (월) 13:26 판

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LaTeX 명령예

cases $$f(n) = \begin{cases} n/2, & \text{if $n$ is even} \\ 3n+1, & \text{if $n$ is odd} \\ \end{cases}$$


연립방정식 $$ \left\{ \begin{array}{c} a_1x+b_1y+c_1z=d_1 \\ a_2x+b_2y+c_2z=d_2 \\ a_3x+b_3y+c_3z=d_3 \end{array} \right. $$


array $$ \begin{array}{c|lcr} n & \text{Left} & \text{Center} & \text{Right} \\ \hline 1 & 0.24 & 1 & 125 \\ 2 & -1 & 189 & -8 \\ 3 & -20 & 2000 & 1+10i \\ \end{array} $$

예

\(\mathcal{H}om\) \(G\"odel\) http://www.phil.cam.ac.uk/teaching_staff/Smith/LaTeX/other-macros/godelcorners.html

\(\chi(t)=\left(\frac{t}{p}\right)\)


\(\operatorname{Re} a > 0 \)


\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

\(e^{i \pi} +1 = 0\)

\(2\pi-3\times\frac{3\pi}{5}=\frac{\pi}{5}\)

\(\frac{\sqrt{3}}{5}\)

  • \(720\div12=60\)
  • \(\large f^\prime(x)\ = \lim_{\Delta x\to0}\frac{f(x+\Delta x)-f(x)}{\Delta x}\)
  • \(\Large A\ =\ \large\left( \begin{array}{c.cccc}&1&2&\cdots&n\\ 1&a_{11}&a_{12}&\cdots&a_{1n}\\ 2&a_{21}&a_{22}&\cdots&a_{2n}\\ \vdots&\vdots&\vdots&\ddots&\vdots\\ n&a_{n1}&a_{n2}&\cdots&a_{nn}\end{array}\right)\)

$$ \LARGE\tilde y=\left\{ {\ddot x\text{ if $\vec x$ odd}\atop\hat{\,\bar x+1}\text{ if even}}\right.$$

$$\Large\left.\begin{eqnarray} x+y+z&=&3\\2y&=&x+z\\2x+y&=&z\end{eqnarray}\right\}$$

  • \(\int e^{-\frac{x^2}{2}} dx\)

$$ \int e^{-\frac{x^2}{2}} dx$$

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


  • \(\Large\begin{array}{rccclBCB} &f&\longr[75]^{\alpha:{\normalsize f\rightar~g}}&g\\ \large\gamma&\longd[50]&&\longd[50]&\large\gamma\\ &u&\longr[75]_\beta&v\end{array}\)
  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}}
  1. \sum_{k=1}^{\infty}\frac{1}{k^2}=\frac{\pi^2}{6}
  1. \int_{a}^{b}f(x)dx=F(b)-F(a)
  1. \exists c \in (a,b) \quad \mathbf{s.t.} \quad f'(c)=\frac{f(b)-f(a)}{b-a}
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