Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the cardinality of sets in ${\bf R}^d$ obeying a slightly obtuse
  angle bound   In this paper we explicitly estimate the number of points in a subset $A
\subset \R^{d}$ as a function of the maximum angle $\angle A$ that any three of
these points form, provided $\angle A < \theta_d := \arccos(-\frac 1 {d}) \in
(\pi/2,\pi)$. We also show $\angle A < \theta_d$ ensures that $A$ coincides
with the vertex set of a convex polytope. This study is motivated by a question
of Paul Erd\H{o}s and indirectly by a conjecture of L\'aszl\'o Fejes T\'oth.

34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin