Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Size reduction and partial decoupling of systems of equations   A method is presented that reduces the number of terms of systems of linear
equations (algebraic, ordinary and partial differential equations). As a
byproduct these systems have a tendency to become partially decoupled and are
more likely to be factorizable or integrable. A variation of this method is
applicable to non-linear systems. Modifications to improve efficiency are given
and examples are shown. This procedure can be used in connection with the
computation of the radical of a differential ideal (differential Groebner
basis).

20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
16
The categories of this paper are: stat
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio