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 Dec18 comment Expected value of applying the sigmoid function to a normal distribution Hi Robert, could you comment on the derivation of that series? Where does it come from? Dec17 awarded Supporter Dec3 comment How to characterize the partial order on the k-combinations of a totally ordered set? @BrianM.Scott, well if you want every combination to have a unique representation it would be the restriction to the set of points lying below the diagonal planes (i.e. we must have $i_1 < i_2 < \ldots i_k$). Anyway, can I infer from your answer that it is safe to say that the second lattice is, at least, not a totally bog-standard object in combinatorics that anyone would recognize? I ask because I'm in the sciences and always worry about naively re-deriving basic results that are already well-known to mathematicians. Thanks again! Dec3 comment How to characterize the partial order on the k-combinations of a totally ordered set? @BrianM.Scott, thanks for the reply. Doesn't the product partial order on $X^k$ contain elements like $(1,1,1\ldots)$ which do not correspond to combinations, though? PS: congrats on your recent level-up :) Dec3 asked How to characterize the partial order on the k-combinations of a totally ordered set? Mar12 awarded Teacher Mar12 answered Find $P(X\gt Y)$ using the joint density Mar12 awarded Student Mar12 asked Showing uniqueness of solution to IVP under certain conditions