Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The NC-proximal average for multiple functions   The NC-proximal average is a parametrized function used to continuously
transform one proper, lsc, prox-bounded function into another. Until now, it
has been defined for two functions. The purpose of this article is to redefine
it so that any finite number of functions may be used. The layout generally
follows that of [11], extending those results to the more general case and in
some instances giving alternate proofs by using techniques developed after the
publication of that paper. We conclude with an example examining the
discontinuity of the minimizers of the NC-proximal average.

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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: econ
13
The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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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: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
1
The categories of this paper are: cs