Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast and exact evaluation of box splines via the PP-form   For the class of non-degenerate box splines, we prove that these box splines
are piecewise polynomial. This is not a new result, it is in fact a well known
and useful property of box splines. However, our proof is constructive, and the
main result of this work is a corollary that follows from this proof, namely
one that gives an explicit construction scheme for the polynomial pieces in the
interior regions of any non-degenerate box spline.

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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
11
The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
7
The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol