高中物理(二下)
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HotEqn範例:常用符號 2

ElementsCode SyntaxExamples
Brackets  \left<char>
  \right<char>
  <char>
  <char> :=  (  )  [  ]  {  }  |  \|  .(dot)  \langle  \rangle

z=\{a+b\,[c+d\,(e+f+|h|-\|k\|)]\}z=\{a+b\,[c+d\,(e+f+|h|-\|k\|)]\}
\sin(\frac{\pi}{2}z^2)= \sin\left(\frac{\pi}{2}z^2\right)\sin(\frac{\pi}{2}z^2)= \sin\left(\frac{\pi}{2}z^2\right)
z_ab=\langle a,b \ranglez_ab=\langle a,b \rangle
math_failure (math_unknown_error\array): \vec{x}+\vec{y}+\vec{z} =\left(\array{a^2\\b_0}\right[ \vec{x}+\vec{y}+\vec{z} =\left(\array{a^2\\b_0}\right[
math_failure (math_unknown_error): y\;=\;\left\{\begin{array} {r@{\quad:\quad}l} -1&x<0\\ 0&x=0\\+1&x>0\end{array}\right. y\;=\;\left\{\begin{array} {r@{\quad:\quad}l} -1&x<0\\ 0&x=0\\+1&x>0\end{array}\right.

math_failure (math_unknown_error\Laplace): \left[\frac{\Gamma^2}{2\pi^2}\;\int y(t+\tau)d\tau\right]_{t=0}^{t=1} + \left.\Laplace\left\{\frac{f^2(t)} {g^2(t)}\right\}\right|_{s=0}

\left[\frac{\Gamma^2}{2\pi^2}\;\int y(t+\tau)d\tau\right]_{t=0}^{t=1} + \left.\Laplace\left\{\frac{f^2(t)} {g^2(t)}\right\}\right|_{s=0}

Negation  \not<eqn>

x\not\in Xx\not\in X
\not=\not9\not{\frac{x+1}{y-2}}\not=\not9\not{\frac{x+1}{y-2}}
math_failure (math_unknown_error\array): \not\left[\array{a_11 & a_12 & a_13 \\ a_21 & a_22 & a_23 \\ a_31 & a_32 & a_33}\right] \not\left[\array{a_11 & a_12 & a_13 \\ a_21 & a_22 & a_23 \\ a_31 & a_32 & a_33}\right]

Overline
Underline
  \overline<eqn>
  \underline<eqn>

\underline{\overline{this \;is\;an\;example}}\underline{\overline{this \;is\;an\;example}}
math_failure (math_image_error): _\underline{\underline {\overline{\overline{this\;is \;an\;other\;example}}}} _\underline{\underline {\overline{\overline{this\;is \;an\;other\;example}}}}
\overline{\overline{a}^2 + \underline{xy} + \overline{\overline{z}}}\overline{\overline{a}^2 + \underline{xy} + \overline{\overline{z}}}
\dot{\underline{x}}(t) \;=\;\underline{A}\;\underline{x}(t) \;+\;\underline{B}\;\underline{u}(t)\dot{\underline{x}}(t) \;=\;\underline{A}\;\underline{x}(t) \;+\;\underline{B}\;\underline{u}(t)

Overbrace
Underbrace
  \overbrace<eqn>[^<eqn>]
  \underbrace<eqn>[_<eqn>]

\underbrace{a+\overbrace{b+ \cdots + y}^{123}+z}_{\alpha\beta\gamma}\underbrace{a+\overbrace{b+ \cdots + y}^{123}+z}_{\alpha\beta\gamma}
\overbrace{a+\underbrace{b+c}+d}\overbrace{a+\underbrace{b+c}+d}
V_n^m=\prod_{i=0}^{m-1}(n-i)= \underbrace{n(n-1)(n-2)\cdots (n-m+1)}_{m\;\mbox{factors}} =\frac{n!}{(n-m)!}V_n^m=\prod_{i=0}^{m-1}(n-i)= \underbrace{n(n-1)(n-2)\cdots (n-m+1)}_{m\;\mbox{factors}} =\frac{n!}{(n-m)!}

Stackrel  \stackrel<eqn upper><eqn lower>

math_failure (math_unknown_error\def): \vec{x}\;\stackrel{\def}{=} \;(x_1,\ldots x_n) \vec{x}\;\stackrel{\def}{=} \;(x_1,\ldots x_n)
A\stackrel{a}{\longrightarrow} B\stackrel{b}{\longleftarrow} CA\stackrel{a}{\longrightarrow} B\stackrel{b}{\longleftarrow} C
\int_0^\infty y^2(t)\;dt\; \stackrel{!}{=}\!\mbox{Min}\int_0^\infty y^2(t)\;dt\; \stackrel{!}{=}\!\mbox{Min}

Choose
Atop
  { <grp upper> \choose <grp lower>}
  { <grp upper> \atop <grp lower> }

{n+1 \choose k}={n \choose k}+{n \choose k-1}{n+1 \choose k}={n \choose k}+{n \choose k-1}
{n+1 \atop k}{n+1 \atop k}
A_{p_1\,p_2\cdots p_{n-k} \atop p_1\,p_2\cdots p_{n-k}}A_{p_1\,p_2\cdots p_{n-k} \atop p_1\,p_2\cdots p_{n-k}}
{1\;0\choose 0\;1}{1\;0\choose 0\;1}
\left({a\atop l}{b\atop m}{c\atop n}\right)\left({a\atop l}{b\atop m}{c\atop n}\right)

Additional Space  \,
  \:
  \;
  \quad
  \qquad
  \!

OOOOOOOO(正常間隔)
OO\,OOOO\,OO
math_failure (math_unknown_error): OO\:OO OO\:OO
OO\;OOOO\;OO
OO \quad OOOO \quad OO
OO \qquad OOOO \qquad OO
OO\!OOOO\!OO

 

0最後修改紀錄: 2004/04/17(Sat) 09:20:40


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since 2011/06/20 18:23