Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Velocity addition in Special Relativity and in Newtonian Mechanics are
  isomorphic   In the one dimensional case, velocity addition in Special Relativity and in
Newtonian Mechanics, respectively, are each a commutative group operation, and
the two groups are isomorphic. There are infinitely many such isomorphisms,
each indexed by one positive real parameter.

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The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
3
The categories of this paper are: physics
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex