Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Essay on the Application of mathematical Analysis to the theories of
  Electricity and Magnetism   Green's famous essay (Nottingham, 1828), with which he introduced the
potential function, was transcribed from its reprint in Crelle's Journal
(1850-54), with several typographical corrections and a reference section
added. Green starts with accounts of earlier work, and some introductory
remarks motivating his notation and method. Then, he gives a textual summary of
later formal calculations, beginning with the general results. Finally, Green
applies the results to several problems concerning electricity and magnetism.

36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con