Setting up the back propagation algorithm, part 2

Thereafter we compute the ouput error $\boldsymbol{\delta}^L$ by computing all

$$\delta_j^L = \sigma'(z_j^L)\frac{\partial {\cal C}}{\partial (a_j^L)}.$$

Then we compute the back propagate error for each $l=L-1,L-2,\dots,1$ as

$$\delta_j^l = \sum_k \delta_k^{l+1}w_{kj}^{l+1}\sigma'(z_j^l).$$

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