Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multivariate Difference-Differential Dimension Polynomials   In this paper we generalize the Ritt-Kolchin method of characteristic sets
and the classical Gr\"obner basis technique to prove the existence and obtain
methods of computation of multivariate difference-differential dimension
polynomials associated with a finitely generated difference-differential field
extension. We also give an interpretation of such polynomials in the spirit of
the A. Einstein's concept of strength of a system of PDEs and determine their
invariants, that is, characteristics of a finitely generated
difference-differential field extension carried by every its dimension
polynomial.

23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph