Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inscribed triangles in the unit sphere and a new class of geometric
  constants   We will introduce a new geometric constant GL(X) based on the constant H(X)
proposed by Gao. We first further survey the constant H(X) and discuss some of
the properties of this constant that have not yet been discovered. Next, we
focus on a new constant GL(X) along with some of its basic properties. In
addition, we show some relations between the well-known geometric constants and
GL(X) through some inequalities. Finally, we characterize some generalized
forms of the constant GL(X).

20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con