Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrepancy-based error estimates for Quasi-Monte Carlo. II: Results in
  one dimension   The choice of a point set, to be used in numerical integration, determines,
to a large extent, the error estimate of the integral. Point sets can be
characterized by their discrepancy, which is a measure of its non-uniformity.
Point sets with a discrepancy that is low with respect to the expected value
for truly random point sets, are generally thought to be desirable. A low value
of the discrepancy implies a negative correlation between the points, which may
be usefully employed to improve the error estimate of a numerical integral
based on the point set. We apply the formalism developed in a previous
publication to compute this correlation for one-dimensional point sets, using a
few different definitions of discrepancy.

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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat