Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A purely 3-D geometrical solution to Mathematics Magazine Problem 2065   We proposed a purely 3-D geometrical solution to Mathematics Magazine Problem
2065. Let $\mathcal{Q}$ be a cube centered at the origin of $\mathbb{R}^3$.
Choose a unit vector $(a,b,c)$ uniformly at random on the surface of the unit
sphere $a^2+b^2+c^2=1$, and let $\Pi$ be the plane $ax+by+cz=0$ through the
origin and normal to $(a,b,c)$. What is the probability that the intersection
of $\Pi$ with $\mathcal{Q}$ is a hexagon?

19
The categories of this paper are: eess
1
The categories of this paper are: cs
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics