Monomials as sums of powers: the Real binary case

Details Monomials as sums of powers: the Real binary case Monomials as sums of powers: the Real binary case

2010-05-17

arxiv.org/abs/1005.3050v1

Mathematics

Algebraic Geometry

5 pages

Scientific paper

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.

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