优化公式排版和Beamer相关知识

做优化的同学可能会碰到排列形如

max    *******

s.t.   ***** = *

       ***** > ***

       ... 

  的格式

既要要求 max 和 s.t. 对齐  又要令约束式的 = >  等符号对齐！

下面几个代码以供参考：

egin{align*}

&maxquad z=sumlimits_{i=1}^m c_i x_i\

& egin{array}{r@{quad}r@{}l@{quad}l}

s.t.&sumlimits_{j=1}^m a_{ij} x_j&leq b_i,  &i=1,2,3ldots,n\

 &x_j&geq110,  &i=1,2,3ldots,n  \

 &x_j&geq10,  &i=1,2,3ldots,n  \

 &x_j&geq0,  &i=1,2,3ldots,n  \

& x_j&geq0,  &i=1,2,3ldots,n  \

end{array} .

end{align*}

效果：

egin{align*}

&max\,\, z=sum_{j=1}^n c_jx_j\

&s.t.quad

egin{cases}

sumlimits_{j=1}^n a_{ij}x_j leq b_i & (i=1,2,3,cdots, m), \

x_j geq 0 & (j=1,2,3,cdots,n).

end{cases}

end{align*}

 

 

egin{equation*}

egin{split}

&max \,\, z=sum_{j=1}^nc_jx_j\

&s.t.quad  left{egin{array}{lc}

sum_{j=1}^na_{ij}x_jleq b_j,quad & (i=1,2,cdots,m)\

x_jgeq 0,quad & (j=1,2,cdots,n) end{array} ight.

end{split}

end{equation*}

 

egin{align*}

&max\,\,z=sumlimits_{j=1}^nc_jx_j\

&s.t.egin{cases}sum_{j=1}^na_{ij}x_jleq b_i&(i=1,2,cdots,m)\

x_jgeq0&(j=1,2,cdots,n)end{cases}\

end{align*}

 

 

from: http://blog.sina.com.cn/s/blog_6850cf720101a9kk.html

 

默认一个frame就是一页slide，要想一个frame显示在多个silde里可以设置分页
egin{frame}[allowframebreaks=1]{this frame name}

egin{theorem}[some therorem]
$a^{2}=...$ hahha 
end{theorem}

egin{Definition}[new definition]
a is a ...
end{Definition}

自定义类似公式的block
egin{block}{some therorem}
$a^{2}=...$ hahha 
end{block}

自定义类似block的文本框
setbeamercolor{bgcolor}{fg=black,bg=blue!20}  

egin{beamercolorbox}[rounded=true, shadow=true,wd=12cm]{bgcolor}
   $a^{2}=...$ hahha 
end{beamercolorbox}

 

公式希腊字符的加粗
usepackage{bm}
 $m 

数学中的实数域 那种符号的字体

usepackage{dsfont}
$x in mathds{R} $

算法

usepackage{algorithm} %format of the algorithm
usepackage{algorithmic}

egin{algorithm}[H]
  caption{ABC($A$)}
 scriptsize  %下面的字特小号
  egin{algorithmic}[1]
    STATE initialization $U^{(n)}$
    REPEAT
        FOR{n=1,..,N}
          STATE $ C  leftarrow B $
        ENDFOR 
       IF{xtrue}
          STATE $ x $
        ENDIF
    UNTIL{ convergence}

    STATE STATE $ C  leftarrow B $
  end{algorithmic}
end{algorithm}

其它让算法表小或分页的方法--待测试
captionof{algorithm}{xxx}
 scalebox{0.9}{
SetAlFnt{footnotesize}

---

Beamer中block的样式（三种:normal, alert和example，这三种分别是蓝,红和绿色），也可以进行修改

documentclass{beamer}
usetheme{Warsaw}
egin{document}
	itle{title}
author{Frogge}
institute{XX}
date{	oday}
egin{frame}
  	itlepage
end{frame}

egin{frame}frametitle{Three default block styles}
egin{block}{Block}
This is a block
end{block}

egin{alertblock}{Alert block}
This is an alert block.
end{alertblock}

egin{exampleblock}{Example block}
This is an example block.
end{exampleblock}
end{frame}

egin{frame}frametitle{User-defined blcok styles}

setbeamercolor{uppercol}{fg=white,bg=green!80!black}%
setbeamercolor{lowercol}{fg=black,bg=green!20}%
egin{beamerboxesrounded}[upper=uppercol,lower=lowercol,shadow=true]{Something}
This is a user-defined blcok.
end{beamerboxesrounded}
        
end{frame}

egin{frame}frametitle{Columns}
egin{columns}
  egin{column}{0.48	extwidth}
    egin{alertblock}{Alert block}
      This is an alert block.
    end{alertblock}
  end{column}

  egin{column}{0.48	extwidth}
    egin{exampleblock}{Example block}
      This is an example block.
    end{exampleblock}
  end{column}
end{columns}
end{frame}

end{document}