Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal Presentations of Mathematical Objects   We discuss the optimal presentations of mathematical objects under well
defined symbol libraries. We shall examine what light our chosen symbol
libraries and syntax shed upon the objects they represent. A major part of this
work will focus on discrete sets, particularly the natural numbers, with
results that describe the presentation of the natural numbers under specific
symbol libraries and what those presentations may reveal about the properties
of the natural numbers themselves. We shall present bounds and constraints on
the length and shape of presentations, connect already existing problems in
other fields of mathematics to questions relevant to these presentations and
otherwise illuminate why such a study can produce exciting results.

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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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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: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: funct-an