Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximation of the Lagrange and Markov spectra   The (classical) Lagrange spectrum is a closed subset of the positive real
numbers defined in terms of diophantine approximation. Its structure is quite
involved. This article describes a polynomial time algorithm to approximate it
in Hausdorff distance. It also extends to approximate the Markov spectrum
related to infimum of binary quadratic forms.

8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph