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数学公式：

Let $f\colon[a,b]\to\R$ be Riemann integrable. Let $F\colon[a,b]\to\R$ be $F(x)=\int_{a}^{x} f(t)\,dt$. Then $F$ is continuous, and at all $x$ such that $f$ is continuous at $x$, $F$ is differentiable at $x$ with $F'(x)=f(x)$.

$$I = \int_0^{2\pi} \sin(x)\,dx$$ $$\text{corr}_t = \text{Corr}\!\left(\text{und\_change}_{t},\ \text{vol\_change}_{t}\right)_{800}$$

$\text{returns}_t = \text{EWMA}_{\text{half-life}=90} \left( \text{und\_change}_t\right)$

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2. 开盘预处理

2.1 盘后数据加载：

• 加载前一日的盘后数据，包含标的价格变化率数据（und_change）以及期权波动率变化率数据(vol_change)；
• 基于corr的计算要求，从前一日加载的数据切片数量应不小于800个，从而实现数据初步预热。