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Jan 21, 2016 at 17:27 comment added Douglas Zare Do the linear combinations have coefficients that are "not explicit formulas" in the sense of this question?
Jan 20, 2016 at 19:58 comment added Adam Also, I am looking for a "nice" family, which I hope can be explicitly written down. (Obviously, there are various brut force approaches possible, leading to some messy definitions of $s_\alpha$)
Jan 20, 2016 at 19:49 comment added Adam I agree, but I was hoping for functions $\mathbb R\to [0,1]$...
Jan 20, 2016 at 19:32 history answered Robert Israel CC BY-SA 3.0