Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards historical roots of necessary conditions of optimality. Regula
  of Peano   At the end of 19th century Peano discerned vector spaces, differentiability,
convex sets, limits of families of sets, tangent cones, and many other
concepts, in a modern perfect form. He applied these notions to solve numerous
problems. The theorem on necessary conditions of optimality (Regula) is one of
these. The formal language of logic that he developed, enabled him to perceive
mathematics with great precision and depth. Actually he built mathematics
axiomatically based exclusively on logical and set-theoretic primitive terms
and properties, which was a revolutionary turning point in the development of
mathematics.

27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat