Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reducing the number of variables of a polynomial   In this paper, we consider two basic questions about presenting a homogeneous
polynomial f: how many variables are needed for presenting f? How can one find
a presentation of f involving as few variables as possible? We give a complete
answer to both questions, determining the minimal number of variables needed,
NEssVar(f), and describing these variables through their linear span,
EssVar(f). Our results give rise to effective algorithms which we implemented
in the computer algebra system CoCoA.

3
The categories of this paper are: physics
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol