Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spherical Distribution of 5 Points with Maximal Distance Sum   In this paper, we mainly consider the problem of spherical distribution of 5
points, that is, how to configure 5 points on a sphere such that the mutual
distance sum attains the maximum. It is conjectured that the sum of distances
is maximal if 5 points form a bipyramid configuration in which case two points
are positioned at two poles of the sphere and the other three are positioned
uniformly on the equator. We study this problem using interval methods and
related technics, and give a proof for the conjecture through computers in
finite time.

9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph