Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Explicit Formula for the Spherical Curves with Constant Torsion   The purpose of this article is to give an explicit formula for all curves of
constant torsion $\tau$ in the unit two-sphere $S^2(1)$. These curves and their
basic properties have been known since the 1890's, and some of these properties
are discussed in the Appendix. Some example curves, computed with a standard
ODE package, with $\tau=.1,.5,1,2$ are shown in Figure \ref{peter}. Though
their existence and some of their general properties were known, our explicit
formulas for them, in terms of hypergeometric functions, are new.

10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
3
The categories of this paper are: physics
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga