A Minimum problem for finite sets of real numbers with non-negative sum

Giampiero Chiaselotti, Giuseppe Marino, Caterina Nardi

Let $n$ and $r$ be two integers such that $0<r\le n$; we denote by $\gamma (n,r)$ [$\eta (n,r)$] the minimum [maximum] number of the non-negative partial sums of a sum $\sum_{1=1}^n a_i \…