Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalization of Schlafli formula to the volume of a spherically faced
  simplex   We present two identities (contiguity relation and variation formula)
concerning the volume of a spherically faced simplex in the Euclidean space.
These identities are described in terms of Cayley-Menger determinants and their
differentials involved with hypersphere arrangements. They are derived as a
limit of fundamental identities for hypergeometric integrals.

8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph