Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonnegative Trigonometric Polynomials, Sturms Theorem, and Symbolic
  Computation   In this paper, we explain a procedure based on a classical result of Sturm
that can be used to determine rigorously whether a given trigonometric
polynomial is nonnegative in a certain interval or not. Many examples are
given. This technique has been employed by the author in several recent works.
  The procedure often involves tedious computations that are time-consuming and
error-prone. Fortunately, symbolic computation software is available to
automate the procedure. In this paper, we give the details of its
implementation in MAPLE 13. Some who are strongly attached to a more
traditional theoretical research framework may find such details boring or even
consider computer-assisted proofs suspicious. However, we emphasize again that
the procedure is completely mathematically rigorous.

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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio