Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a generalization of the plank problem   Let two concentric circles $k$ and $K$ be given on the plane with radii $r$
and $R$, $r<R$. Assume that the disc bounded by $k$ is covered by angular
domains whose vertices are within $K$. Then the sum of the angles of these
angular domains is greater than or equal to the view angle of $k$ from an
arbitrary point of $K$.

35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol