Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal Pair of Two Linear Varieties   The optimal pair of two linear varieties is considered as a best
approximation problem, namely the distance between a point and the difference
set of two linear varieties. The Gram determinant allows to get the optimal
pair in closed form.

31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph