Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Proof of the Herschel-Maxwell Theorem Using the Strong Law of Large
  Numbers   In this article, we use the strong law of large numbers to give a proof of
the Herschel-Maxwell theorem, which characterizes the normal distribution as
the distribution of the components of a spherically symmetric random vector,
provided they are independent. We present shorter proofs under additional
moment assumptions, and include a remark, which leads to another strikingly
short proof of Maxwell's characterization using the central limit theorem.

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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
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The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
3
The categories of this paper are: physics
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The categories of this paper are: cmp-lg