Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distances Induced by Barbilian's Metrization Procedure   Several authors have pointed out the connection between Barbilian's metric
introduced in 1934 and the recent study of Apollonian metrics. We provide
examples of various distances that can be obtained by Barbilian's metrization
procedure and we discuss the relation between this metrization procedure and
important Riemannian and generalized Lagrangian metrics. Then we prove an
extension of Barbilian's metrization procedure.

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The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat