2 problems

Let $P(x)=\sum_{k=0}^n a_kx^k$ be a polynomial with positive coefficients. Define … where $a_{-1}=a_{n+1}=0$. Let $0=k_1<k_2<\cdots<k_m=n$ be the sequence of all indices $k_i$ for…

Let $P(x)=\sum_{k=0}^n a_kx^k$ be a polynomial with positive coefficients. Define its weighted tropical polynomial by … A corner is a point where this piecewise-linear function is…