Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constructing Positive Interpolatory Cubature Formulas   Positive interpolatory cubature formulas (CFs) are constructed for quite
general integration domains and weight functions. These CFs are exact for
general vector spaces of continuous real-valued functions that contain
constants. At the same time, the number of data points -- all of which lie
inside the domain of integration -- and cubature weights -- all positive -- is
less or equal to the dimension of that vector space. The existence of such CFs
has been ensured by Tchakaloff in 1957. Yet, to the best of the author's
knowledge, this work is the first to provide a procedure to successfully
construct them.

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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: quant-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: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th