高中物理(二下)
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HotEqn範例:一些較特殊的指令

ElementsCode SyntaxExamples
Functions\arccos \arcsin \arctan \arg \cos \cosh \cot \coth \csc \def \deg \det \dim \exp \gcd \hom \ker \lg \ln \log \sec \sin \sinh \tan \tanh 
\det[_<eqn limit>] 
\gcd[_<eqn limit>] 
\inf[_<eqn limit>] 
\lim[_<eqn limit>] 
\liminf[_<eqn limit>]   \limsup[_<eqn limit>] 
\max[_<eqn limit>] 
\min[_<eqn limit>] 
\Pr[_<eqn limit>] 
\sup[_<eqn limit>]
\sqrt{\sin^2(x)+\cos^2(x)}=1\sqrt{\sin^2(x)+\cos^2(x)}=1
e^y=\exp(y)=\cosh\,y+\sqrt{\cosh^2y-1}e^y=\exp(y)=\cosh\,y+\sqrt{\cosh^2y-1}
\lim_{x\rightarrow0} \frac{1}{\sqrt{1+x}+1}=\frac{1}{2}\lim_{x\rightarrow0} \frac{1}{\sqrt{1+x}+1}=\frac{1}{2}
\max_{c_1,\ldots,c_k}\, \sum_{i=1}^k\min_{c\in C_i}\,c_i\,(C)\max_{c_1,\ldots,c_k}\, \sum_{i=1}^k\min_{c\in C_i}\,c_i\,(C)
z_{opt}\;=\; \limsup_{\bar{h}\rightarrow\vec{b}_0} \,\|x_n(\bar{h},\vec{b}_0)\|z_{opt}\;=\; \limsup_{\bar{h}\rightarrow\vec{b}_0} \,\|x_n(\bar{h},\vec{b}_0)\|
Arrays\begin{array}{<format>} <grp> [& <grp>][\\ <grp>[& <grp>]]\end{array}
\begin{eqnarray} <grp> [& <grp>][\\ <grp>[& <grp>]]\end{eqnarray}
\array{ <grp> [& <grp>][\\ <grp>[& <grp>]]}*)
\begin{array}{cccc}a_{11} & a_{12} & \cdots & a_{1n} \\ \vdots & \vdots & \ddots & \vdots \\ a_{n1} & a_{n2} & \cdots & a_{nn} \end{array}\begin{array}{cccc}a_{11} & a_{12} & \cdots & a_{1n} \\ \vdots & \vdots & \ddots & \vdots \\ a_{n1} & a_{n2} & \cdots & a_{nn} \end{array}
math_failure (math_unknown_error): \begin{array} {*{3}{c@{\:+\:}}c@{\;=\;}c} a_{11}x_1 & a_{12}x_2 & \cdots & a_{1n}x_n & b_1 \\ a_{11}x_1 & a_{12}x_2 & \cdots & a_{1n}x_n & b_1 \\ \cdots\\ a_{n1}x_1 & a_{n2}x_2 & \cdots & a_{nn}x_n &b_n \end{array} \begin{array} {*{3}{c@{\:+\:}}c@{\;=\;}c} a_{11}x_1 & a_{12}x_2 & \cdots & a_{1n}x_n & b_1 \\ a_{11}x_1 & a_{12}x_2 & \cdots & a_{1n}x_n & b_1 \\ \cdots\\ a_{n1}x_1 & a_{n2}x_2 & \cdots & a_{nn}x_n &b_n \end{array}
\left(\begin{array}{c} \left|\begin{array}{cc} x_{11} & x_{12} \\ x_{21} & x_{22} \end{array}\right| \\ x\\y \end{array}\right)\left(\begin{array}{c} \left|\begin{array}{cc} x_{11} & x_{12} \\ x_{21} & x_{22} \end{array}\right| \\ x\\y \end{array}\right)
math_failure (math_unknown_error\fbox): \fbox{\begin{array}{ccc} x & y & z \\ u & \fbox{v}& w \\ z & x & y \end{array}} \fbox{\begin{array}{ccc} x & y & z \\ u & \fbox{v}& w \\ z & x & y \end{array}}
f(x)=\left\{\begin{array}{r} c_0+c_1(z-a)+c_2(z-a)^2 + \cdots+c_n(z-a)^n+\cdots\\ +c_{-1}(z-a)^{-1} + c_{-2}(z-a)^{-2}+\cdots\\ c_{-n}(z-a)^{-n}+\cdots \end{array}\right.f(x)=\left\{\begin{array}{r} c_0+c_1(z-a)+c_2(z-a)^2 + \cdots+c_n(z-a)^n+\cdots\\ +c_{-1}(z-a)^{-1} + c_{-2}(z-a)^{-2}+\cdots\\ c_{-n}(z-a)^{-n}+\cdots \end{array}\right.
math_failure (math_unknown_error\begin): \left\|\begin{eqnarray} (x+y)(x-y) & = & x^2 - xy +xy -y^2 \\ & = & x^2 -y^2 \\ (x+y)^2 & = & x^2+2xy+y^2 \end{eqnarray} \right\| \left\|\begin{eqnarray} (x+y)(x-y) & = & x^2 - xy +xy -y^2 \\ & = & x^2 -y^2 \\ (x+y)^2 & = & x^2+2xy+y^2 \end{eqnarray} \right\|
math_failure (math_unknown_error\array): A=\left[\array{1.5 & \sqrt{\alpha} & x \\ 2 & 3 & 4\\ 1 & 2 & 3 \\ 4 & 3 & 2 \\ -1 & -3 & -V} \right]

This is a shortened version of \begin{array}{lll...}...

A=\left[\array{1.5 & \sqrt{\alpha} & x \\ 2 & 3 & 4\\ 1 & 2 & 3 \\ 4 & 3 & 2 \\ -1 & -3 & -V} \right]

Text

\mbox{<text>}
\mbox{This is a text}\mbox{This is a text}
_\mbox{This is a smaller text}_\mbox{This is a smaller text}
X_n=X_k \quad\mbox{if and only if}\quad y_n=Y_k\quad\mbox{and}\quad Z_n=Z_kX_n=X_k \quad\mbox{if and only if}\quad y_n=Y_k\quad\mbox{and}\quad Z_n=Z_k
Framebox\fbox<eqn>
math_failure (math_unknown_error\fbox): \mbox{This is an} \fbox{\backslash fbox} \mbox{This is an} \fbox{\backslash fbox}
math_failure (math_unknown_error\fbox): \fbox{\int_0^\infty g(x)\;dx\;\approx\;\sum_{i=1}^n w_i e^{x_i}g(x_i)} \fbox{\int_0^\infty g(x)\;dx\;\approx\;\sum_{i=1}^n w_i e^{x_i}g(x_i)}
math_failure (math_unknown_error\fbox): \fbox{\fbox{\begin{array}{ccc} X & Y & Z \\ U & \fbox{V}& W \\ Z & X & Y \end{array}}} \fbox{\fbox{\begin{array}{ccc} X & Y & Z \\ U & \fbox{V}& W \\ Z & X & Y \end{array}}}

Foreground color

Background color

\fgcolor{ rrggbb }<eqn>*)

\bgcolor{ rrggbb }<eqn>*)

math_failure (math_unknown_error\fgcolor): \fgcolor{0000ff}{H}\fgcolor{5050ff}{o} \fgcolor{7070ff}{t}\fgcolor{9999ff}{E} \fgcolor{bdbdff}{q}\fgcolor{eaeaff}{n} \fgcolor{0000ff}{H}\fgcolor{5050ff}{o} \fgcolor{7070ff}{t}\fgcolor{9999ff}{E} \fgcolor{bdbdff}{q}\fgcolor{eaeaff}{n}
math_failure (math_unknown_error\bgcolor): \bgcolor{000099} {\fgcolor{0000ff}{H}\fgcolor{5050ff} {o}\fgcolor{7070ff}{t}\fgcolor{9999ff}{E} \fgcolor{bdbdff}{q}\fgcolor{eaeaff}{n\;}} \bgcolor{000099} {\fgcolor{0000ff}{H}\fgcolor{5050ff} {o}\fgcolor{7070ff}{t}\fgcolor{9999ff}{E} \fgcolor{bdbdff}{q}\fgcolor{eaeaff}{n}}
math_failure (math_unknown_error\array): \left[\array{a_11 & a_12 & a_13 \\ a_21 & a_22 & \fgcolor{ff0000}{a_23} \\ a_31 & \bgcolor{ff0000}{a_32} & a_33}\right] \left[\array{a_11 & a_12 & a_13 \\ a_21 & a_22 & \fgcolor{ff0000}{a_23} \\ a_31 & \bgcolor{ff0000}{a_32} & a_33}\right]

 

0最後修改紀錄: 2004/04/17(Sat) 09:25:06


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since 2011/06/20 18:23