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@@ -75,11 +75,11 @@ $$ f^{\prime}(x)=f(x)(1-f(x))$$
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[解析]：略
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[解析]：略
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## 5.10
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## 5.10
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-$$\begin{align*}
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+$$\begin{aligned}
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g_j&=-\frac{\partial {E_k}}{\partial{\hat{y}_j^k}} \cdot \frac{\partial{\hat{y}_j^k}}{\partial{\beta_j}}
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g_j&=-\frac{\partial {E_k}}{\partial{\hat{y}_j^k}} \cdot \frac{\partial{\hat{y}_j^k}}{\partial{\beta_j}}
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\\&=-( \hat{y}_j^k-y_j^k ) f ^{\prime} (\beta_j-\theta_j)
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\\&=-( \hat{y}_j^k-y_j^k ) f ^{\prime} (\beta_j-\theta_j)
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\\&=\hat{y}_j^k(1-\hat{y}_j^k)(y_j^k-\hat{y}_j^k)
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\\&=\hat{y}_j^k(1-\hat{y}_j^k)(y_j^k-\hat{y}_j^k)
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-\end{align*}$$
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+\end{aligned}$$
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[推导]：参见5.12
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[推导]：参见5.12
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## 5.11
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## 5.11
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Sm1les