Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds on the Location of the Maximum Stirling Numbers of the Second
  Kind   Let K_n denote the smaller mode of the nth row of Stirling numbers of the
second kind S(n, k). Using a probablistic argument, it is shown that for all
n>=2, [exp(w(n))]-2<=K_n<=[exp(w(n))]+1, where [x] denotes the integer part of
x, and w(n) is Lambert's W-function.

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The categories of this paper are: hep-ph
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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: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph