Latex, Katex 常用指令总结（持续更）

$ϵ$ - \epsilon
$⨁$ - \bigoplus
$★$ - \bigstar
$\bullet$ - \bull
$\bullet$ - \bullet
$\infty$ - \infin
$\nabla$ - \nabla
$\cdots$ - \cdots
$⋮$ - \vdots
$\ddots$ - \ddots
$\dots$ - \ldots
$\gamma$ - \gamma
$\Delta$ - \Delta
$\delta$ - \delta
$$\text{\hspace{1em}(1)}$$ - \tag{1}
$\mathbb{E}$ - \mathbb{E}
${\sum }_0^1$ - \sum_0^1
${\sum }_{s^{{}^{\prime }}}^a$ - \sum_{s^{’}}{a}
$\forall$ - \forall
$\in$ - \in

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$$\begin{array}{rl}{G}_t& =R_{t+1}+R_{t+2}+R_{t+3}+\cdots +R_T\\ G_t& =R_{t+1}+\gamma R_{t+2}+{\gamma }^2{R}_{t+3}+\cdots =\sum _{k=0}^{\infty }{\gamma }^k{R}_{t+k+1},0\le \gamma \le 1\\ G_t& =R_{t+1}+\gamma R_{t+2}+{\gamma }^2{R}_{t+3}+\cdots \\ & =R_{t+1}+\gamma (R_{t+2}+\gamma R_{t+3}+\cdots )\\ & =R_{t+1}+\gamma G_{t+1}\end{array}$$

$$
\begin{aligned}
G_t&=R_{t+1}+R_{t+2}+R_{t+3}+\cdots+R_T  \\
G_t&=R_{t+1}+\gamma R_{t+2}+\gamma^{2} R_{t+3}+\cdots=\sum_{k=0}^\infin \gamma^k R_{t+k+1}, 0≤\gamma≤1  \\
G_t &=R_{t+1}+\gamma R_{t+2}+\gamma^{2} R_{t+3}+\cdots  \\
&=R_{t+1}+\gamma (R_{t+2}+\gamma R_{t+3}+ \cdots)\\
&=R_{t+1}+\gamma G_{t+1} 
\end{aligned}
$$

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