2 problems

Kneser–Poulsen conjecture for unequal balls. The simultaneous inequalities

Let ${\mathbb E}^d$ be Euclidean $d$-space, let $P=\{\mathbf{p}_1,\mathbf{p}_2,\dots,\mathbf{p}_N\}\subseteq{\mathbb E}^d$, and let $P^r$ denote the intersection of the closed ball…