王半仙的学习分享

1 导数的乘法法则

$(uv)'=u'v+v'u$

乘法法则推导Part 1 $$\begin{align} \Delta(uv) & = u(x+\Delta x)v(x+\Delta x)-u(x)v(x) \ \\ & = [u(x+\Delta x)-u(x)]v(x+\Delta x)+u(x)[v(x+\Delta x)-v(x)] \ \\ & = \Delta u\times v(x+\Delta x)+u(x)\D

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一个典型的神经元

• Axon 轴突
• Dendritic tress 树突
• Axon hillock 轴突体

线性神经元

$$y = b+\sum_ix_iw_i$$

二进制阈值神经元

对线性加权运算的结果，进行阈值判定

$$z = b+\sum_ix_iw_i$$ $$\begin{equation} y = \left\{ \begin{array}{rl} 1 & \mbox{if } z \geq 0, \\ 0 &

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