Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical algorithms for detecting embedded components   We produce algorithms to detect whether a complex affine variety computed and
presented numerically by the machinery of numerical algebraic geometry
corresponds to an associated component of a polynomial ideal.

19
The categories of this paper are: eess
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat