1.百分号
95\%
2.下标
b_{ij}
3.表格（excel2latex）
- 符号说明
\begin{table}[H] \centering \begin{tabular}{m{100pt}<{\centering} m{100pt}<{\centering} m{200pt}<{\centering}} \toprule 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 \\ \bottomrule \end{tabular} \end{table}
- 一般表格【有表头】
\begin{table}[H] \caption{会员对5种DVD的愿意观看概率} \centering \begin{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
-
\tiny
- 双栏
\begin{table}[H] \centering \caption{前30个会员分配情况} \begin{tabular}{r|rrr||r|rrr} \toprule 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 \\ \bottomrule \end{tabular}% \label{tab:addlabel}% \end{table}%
4.等式
\begin{equation} E=0.6*2+0.44*1=1.6 \end{equation}
\begin{equation*}
t_{ij}=
\begin{cases}
1,&\text{第i个会员愿意观看第j种DVD}\\
0,&\text{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
\begin{equation} \lim_{n \to \infty}P(\frac{\eta_{x}-np}{\sqrt{np(1-p)}}\leq x)=\int _{-\infty}^{x}\frac{1}{\sqrt{2\pi}}e^{-\frac{t^2}{2}} dt =\Phi (x) \end{equation}
5.另起一段，另起一页
\par
\newpage
6.字体加粗
\textbf{(2)三个月内95\%}
7.矩阵
$$X=\begin{pmatrix} x_{1,1}&x_{1,2}&\ldots&x_{1,100}\\ x_{2,1}&x_{2,2}&\ldots&x_{2,100}\\ \vdots &\vdots & &\vdots\\ x_{1000,1}&x_{1000,2}&\ldots&x_{1000,100}\\ \end{pmatrix}$$
- 相乘
$$ \left(\begin{array}{c} X_1 \\ X_2 \\ \dots \\ X_p \end{array}\right) = \left(\begin{array}{cccc} a_{11} & a_{12} & \dots &a_{1m} \\ a_{21} & a_{22} & \dots &a_{2m} \\ \dots & \dots & \dots &\dots \\ a_{p1} & a_{p2} & \dots &a_{pm} \\ \end{array}\right) \left(\begin{array}{c} F_1 \\ F_2 \\ \dots \\ F_m \end{array}\right) \left(\begin{array}{c} \varepsilon_1 \\ \varepsilon_2 \\ \dots \\ \varepsilon_p \end{array}\right) $$
8.空格
\quad
9.线性规划
\begin{center} $$max\sum\limits_{i=1}^{1000}\sum\limits_{j=1}^{100} = x_{ij}a_{ij} $$ \begin{equation*} s.t. \begin{cases} \sum\limits_{j=1}^{100}x_{ij} = 3k_{i}\\ \sum\limits_{i=1}^{1000}x_{ij} \leq num_j,j = 1,2,\ldots,100 \\ x_{ij},k_{ij} = 0 \text{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
\bibitem{1}
12.附录
\zihao{5}\songti\thesection {附录1 \quad 第二题lingo实现代码}
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