Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximating a norm by a polynomial   We prove that for any norm |*| in the d-dimensional real vector space V and
for any odd n>0 there is a non-negative polynomial p(x), x in V of degree 2n
such that p^{1/2n}(x) < |x| < c(n,d) p^{1/2n}(x), where c(n,d)={n+d-1 choose
n}^{1/2n}. Corollaries and polynomial approximations of the Minkowski
functional of a convex body are discussed.

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The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
1
The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga