I have a question about the last step of the proof of conditional probability of the restricted boltzman machine in the deeplearningbook.org
Below are the derivation from the book: Shouldn't equation 20.15 be
$P(h|v) = \displaystyle\prod_{j=1}^{nh}\sigma((2h_j-1)\times(c_i+\textbf{W}_{:,j}^\intercal \textbf{v}))$ (my own derived formula)
instead of
$P(h|v) = \displaystyle\prod_{j=1}^{nh}\sigma((2\textbf{h}-1)\odot(\textbf{c}+\textbf{W}^\intercal \textbf{v}))_j$ (in the deeplearningbook.org)
What would that j even refer to in the original question in the textbook anyway?