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Iwwelewant Cowwection! Actual Bayes law is:

P(W|A) = P(A|W)P(W)/P(A)



If you're maximizing over all possible values of W, A never changes, which is why the /P(A) will usually be omitted from the function you're maximizing.

You're right, though, it shouldn't be written as P(W|A) in that case, that's misleading.


P(A) is the same for all candidates you are considering so you drop it.


True, but I didn't feel like writing \propto




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