2 problems

Two-value minimizer conjecture. The minimum of $F(a)$ without changing the signs of $a_j$ is attained at a vector of the form $\tilde a=(\xi,\dots,\xi,\eta,\dots,\eta)$, for some…

Let $w_n$ denote the width of a regular $n$-simplex in its original scaling, and let ${\Greekmath 0117}_{n+1}$ denote the expected range of $n+1$ independent standard normal random…