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Dec
18
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?
Dec
17
awarded  Supporter
Dec
3
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!
Dec
3
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 :)
Dec
3
asked How to characterize the partial order on the k-combinations of a totally ordered set?
Mar
12
awarded  Teacher
Mar
12
answered Find $P(X\gt Y)$ using the joint density
Mar
12
awarded  Student
Mar
12
asked Showing uniqueness of solution to IVP under certain conditions