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Wave equation is


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KTUGBoard:2641 ¿¬»ê $\times$ °¡ Á¤ÀÇµÈ °øÁýÇÕÀÌ ¾Æ´Ñ ÁýÇÕ $G$ °¡ ´ÙÀ½ 4°¡Áö Á¶°ÇÀ» ¸¸Á·Çϸé, $G$ ¸¦ ±º(ÏØ)À̶ó ÇÑ´Ù.

  • ´ÜÀ§¿ø °¡ Á¸ÀçÇÑ´Ù. : $$ a\times{}e=e\times{}a=a $$
  • ÀÓÀÇÀÇ ¿ø¼Ò $a$ ¿¡ ´ëÇÏ¿© ¿ª¿ø $a^{-1}$ °¡ Á¸ÀçÇÑ´Ù. : $$ a\times{}a^{-1}=a^{-1}\times{}a=e $$
  • ÀÓÀÇÀÇ ÀÌÇ׿¬»ê $a\times b$ ÀÌ ÁýÇÕÀÇ ¾î¶² ¿ø¼Ò¿Í °°´Ù. : $$a\times{}b\in{}G $$
  • ¿¬»ê $\times$ ¿¡ ´ëÇØ °áÇÕ¹ýÄ¢ÀÌ ¼º¸³ÇÑ´Ù. : $$(a\times{}b)\times{}c=a\times{}(b\times{}c) $$
´Ü, ${}^\forall{}a,\;{}^\forall{}b,\;{}^\forall{}c,\;e\in{}G$ .

$$ \sum_{i=0}^{100} x_i y_i^3 $$

Normal Distribution. mean=1, std=0.6

$$ gnuplot $$

normaldistribution(x)=exp(-(x-1)**2/(2*(0.6)**2))/(sqrt(2*pi)*0.6)
rx=3*0.6
plot [1-rx:1+rx] normaldistribution(x)

test E

Å×½ºÆ® ÀÔ´Ï´Ù.

A+B=B+A

test

$$ \frac{\dd y_i}{\dd t}=y_i(r_i+\sum_j^N b_{ij}y_j)\quad (i,j=1,2,\ldots, N) $$

$$ \sum'\sqrt[n]{10} $$

$\sqrt{\mathstrut a}+\sqrt{\mathstrut d}+\sqrt{\mathstrut y}$ Å×½ºÆ® ÁßÀÔ´Ï´Ù.

test2

$$\displaystyle 
\frac{32}{64} 
=\frac{2\times4\times4}{4\times4\times4} 
=\frac{\cancelto{1}{2}\times\cancel{4}\times\cancel{4}}{\cancelto{2}{4}\times\cancel{4}\times\cancel{4}} 
=\frac12 $$

-- Karnes 2005-12-29 00:14:44 latex processor ÄÚµå Å×½ºÆ®

$ x^2 + y^2 = z^2 $
Å×½ºÆ® ÁßÀÔ´Ï´Ù. À§ÀÇ °ÍÀº ÀÌ»ó¾øÀ½

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Blog Macro Test

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Google Page Rank

miscs

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last modified 2013-02-27 10:26:42