Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monomials as sums of powers: the Real binary case   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.

10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat