LaTex学习笔记（一）：review

1.百分号

95\%

2.下标

b_{ij}

3.表格（excel2latex）

• 符号说明

egin{table}[H]
centering
egin{tabular}{m{100pt}<{centering} m{100pt}<{centering} m{200pt}<{centering}}
	oprule
序列 &  符号& 符号说明\
midrule
  1 & $t_{ij}$ &  第i个会员第j种DVD的态度\
  2 & $s_j$ & 愿意观看第j张的DVD的会员数  \
  3 & $p_j$ & 会员愿意观看第j种DVD的概率  \
  4 & $x_{ij}$ & 第i个会员是否被分配到第j张DVD  \
  5 & $a_{ij}$ & 第i个会员对第j张DVD的满意度  \
  6 & $k_{i}$ & 第i个会员有没有被分配到DVD  \
  7 & $c_j$ & 第j种DVD购买的数量  \
  8 & $b_{ij}$ & 第i个会员是否返还第j张DVD  \
  9 & $w_j$ & 两阶段共需要购买的j种DVD数量  \
  10 & $z_{ij}$ & 第二阶段针第i个会员需求的第j种DVD  \
ottomrule
end{tabular}
end{table}

• 一般表格【有表头】

egin{table}[H]
caption{会员对5种DVD的愿意观看概率}
centering
egin{tabular}{|c|c|c|c|c|c|}
  hline
  $mbox{DVD名称}$ & $mbox{DVD1}$ & $mbox{DVD2}$ & $mbox{DVD3}$ & $mbox{DVD4}$ & $mbox{DVD5}$\
  hline
  $mbox{第j张愿意观看概率}$ & $0.2$     & 0.1 & $0.05$  & $0.025$ & $0.01$  \
  hline
end{tabular}
end{table}

• 改变字体大小

• 	iny

• 双栏

egin{table}[H]
  centering
  caption{前30个会员分配情况}
    egin{tabular}{r|rrr||r|rrr}
    	oprule
    会员编号 &DVD1&DVD2&DVD3& 会员编号&DVD1&DVD2&DVD3 \
    midrule
    C001  & D008  & D041  & D098  & C016  & D010  & D084  & D097 \
    C002  & D006  & D044  & D062  & C017  & D047  & D051  & D067 \
    C003  & D032  & D050  & D080  & C018  & D041  & D060  & D078 \
    C004  & D007  & D018  & D041  & C019  & D066  & D084  & D086 \
    C005  & D011  & D066  & D068  & C020  & D045  & D061  & D089 \
    C006  & D019  & D053  & D066  & C021  & D045  & D050  & D053 \
    C007  & D026  & D066  & D081  & C022  & D038  & D055  & D057 \
    C008  & D031  & D035  & D071  & C023  & D029  & D081  & D095 \
    C009  & D053  & D078  & D100  & C024  & D037  & D041  & D076 \
    C010  & D041  & D055  & D085  & C025  & D009  & D069  & D094 \
    C011  & D059  & D063  & D066  & C026  & D022  & D068  & D095 \
    C012  & D002  & D031  & D041  & C027  & D050  & D058  & D078 \
    C013  & D021  & D078  & D096  & C028  & D008  & D034  & D082 \
    C014  & D023  & D052  & D089  & C029  & D026  & D030  & D055 \
    C015  & D013  & D052  & D085  & C030  & D037  & D062  & D098 \
    ottomrule
    end{tabular}%
  label{tab:addlabel}%
end{table}%

4.等式

• 

egin{equation}
E=0.6*2+0.44*1=1.6
end{equation}

• 

egin{equation*}
t_{ij}=
  egin{cases}
 1,&	ext{第i个会员愿意观看第j种DVD}\
 0,&	ext{第i个会员不愿意观看第j种DVD}\
  end{cases}
end{equation*}

• 求和

$$s_j=sum_{i=1}^{100000}t_{ij},j=1,2,ldots,5$$

• 极限

egin{equation}
lim_{n 	o infty}P(frac{eta_{x}-np}{sqrt{np(1-p)}}leq x)=int _{-infty}^{x}frac{1}{sqrt{2pi}}e^{-frac{t^2}{2}} dt
=Phi (x)
end{equation}

5.另起一段，另起一页

par 

ewpage

6.字体加粗

	extbf{(2)三个月内95\%}

7.矩阵

• 

$$X=egin{pmatrix}
x_{1,1}&x_{1,2}&ldots&x_{1,100}\
x_{2,1}&x_{2,2}&ldots&x_{2,100}\
vdots &vdots & &vdots\
x_{1000,1}&x_{1000,2}&ldots&x_{1000,100}\
end{pmatrix}$$

• 相乘

$$ left(egin{array}{c}
X_1  \
X_2 \
dots \
X_p
end{array}
ight)
=
 left(egin{array}{cccc}
a_{11} & a_{12} & dots &a_{1m} \
a_{21} & a_{22} & dots &a_{2m} \
dots & dots & dots &dots \
a_{p1} & a_{p2} & dots &a_{pm} \
end{array}
ight)
 left(egin{array}{c}
F_1  \
F_2 \
dots \
F_m
end{array}
ight)
left(egin{array}{c}
varepsilon_1  \
varepsilon_2 \
dots \
varepsilon_p
end{array}
ight)
$$

8.空格

quad

9.线性规划

egin{center}
$$maxsumlimits_{i=1}^{1000}sumlimits_{j=1}^{100} = x_{ij}a_{ij} $$
egin{equation*}
s.t.
egin{cases}
sumlimits_{j=1}^{100}x_{ij} = 3k_{i}\
sumlimits_{i=1}^{1000}x_{ij} leq num_j,j = 1,2,ldots,100 \
x_{ij},k_{ij} = 0 	ext{或} 1;  \
i = 1,2,ldots,1000;  \
j = 1,2,ldots,100  \
end{cases}
end{equation*}
end{center}

10.加帽子

widehat{D_t}

 11.参考文献

ibitem{1}

12.附录

zihao{5}songti	hesection {附录1 quad  第二题lingo实现代码}
egin{verbatim}

end{verbatim}