2 problems

Let $K$ be a centrally symmetric convex body in $\boldsymbol{R}^d$, let $F$ be a linear subspace of dimension $s\in[d]$, and let $E$ be an origin-centered ellipsoid solving the fix…

Let $n$ be a positive integer, and let a simplex and its inverted simplex be given in $n$-dimensional space. Consider their Minkowski interpolations and define the volume ratio as…