Monomials as sums of powers: the Real binary case

Abstract

We generalize an example, due to Sylvester, and prove that any monomial of degree $d$ in $\mathbb{R}[x_0,x_1]$, which is not a power of a variable, cannot be written as a linear combination of fewer than $d$ powers of linear forms.

5 pages

References in corpus (1)

• On the typical rank of real binary forms