Recent content by kaienfr

For a better understanding of the problem, here is an example: Let $n=3$ and $d=2$, then we have all possible choices for putting $2$ balls into $3$ bins as: $$B = \{(2,0,0),(0,2,0),(0,0,2),(1,1,0),(1,0,1),(0,1,1)\}.$$ The elements in the first row of the matrix $V$ are computed as...

Hello everyone, I find an interesting matrix which seems to be always invertible. But I have no idea how to prove it! So I write down here for some ideas. Here is the problem: Let us take $n\in \mathbb{N}^*$ bins and $d\in \mathbb{N}^*$ balls. Denote the set $B = \{\alpha^1, \ldots...