Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The semi-global isometric embedding of surfaces with curvature changing
  signs stably   A semi-global isometric embedding of abstract surfaces with Gaussian
curvature changing signs of any finite order is obtained through solving the
Darboux equation.

34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph