一个简单的计量经济学程序学习分享

再次进行 LATEX 数学公式测试。

$$
\max~ \Ex_{t}\left[\sum_{n=0}^{T-t} \DiscFac^{n} \uFunc(\cLevBF_{t+n})\right]
$$

$$
\begin{gathered}
  {E_{t - 1}}\left( {\sigma _{t + n}^2} \right) = {E_{t - 1}}\left( {{q_{t + n}}} \right) + \sum\limits_{j = 1}^q {{\alpha _j}\left( {\varepsilon _{t + n - j}^2 - {q_{t + n - j}}} \right) + } \sum\limits_{j = 1}^p {{\beta _j}\left( {\sigma _{t + n - j}^2 - {q_{t + n - j}}} \right)}  \hfill \\
  {E_{t - 1}}\left( {\sigma _{t + n}^2} \right) = {E_{t - 1}}\left( {{q_{t + n}}} \right) + \sum\limits_{j = 1}^q {{\alpha _j}{E_{t - 1}}\left[ {\varepsilon _{t + n - j}^2 - {q_{t + n - j}}} \right] + } \sum\limits_{j = 1}^p {{\beta _j}{E_{t - 1}}\left[ {\sigma _{t + n - j}^2 - {q_{t + n - j}}} \right]}  \hfill \\
\end{gathered}
$$

$$
\begin{align}
  {E_{t - 1}}\left[ {{q_{t + n}}} \right] & = \omega  + \rho {E_{t - 1}}\left[ {{q_{t + n - 1}}} \right] + \phi {E_{t - 1}}\left[ {\varepsilon _{t + n - j}^2 - \sigma _{t + n - j}^2} \right] \\
   & = \omega  + \rho {E_{t - 1}}\left[ {{q_{t + n - 1}}} \right]\\
   & = \omega  + \rho \left[ {\omega  + \rho {E_{t - 1}}\left[ {{q_{t + n - 2}}} \right]} \right] \\
   & = \dots  \\
   & = \left( {1 + p + \dots + {\rho ^{n - 1}}} \right)\omega  + {\rho ^n}{q_t} \\
   & = \frac{{1 - {\rho ^n}}}{{1 - \rho }}\omega  + {\rho ^n}{q_t}\\
\end{align}
$$

$$

\begin{split}
H_c&=\frac{1}{2n} \sum^n_{l=0}(-1)^{l}(n-{l})^{p-2}
\sum_{l _1+\dots+ l _p=l}\prod^p_{i=1} \binom{n_i}{l _i}\\
&\quad\cdot[(n-l )-(n_i-l _i)]^{n_i-l _i}\cdot
\Bigl[(n-l )^2-\sum^p_{j=1}(n_i-l _i)^2\Bigr].
\end{split}

$$

$$

\left.\begin{aligned}
B’&=-\partial\times E,\\
E’&=\partial\times B - 4\pi j,
\end{aligned}
\right\}
\qquad \text{Maxwell’s equations}

$$

hifinecon 发表于 2021-7-2 15:14

谢谢； 除了帖子部分；
后面的是我在练习写 LATEX 数学公式， 论坛刚好支持渲染数学公式；

嘿嘿，所以就显得比较的热闹。自己顶贴。哈哈