Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic Behavior of an Implicit Algebraic Plane Curve   In this paper, we introduce the notion of infinity branches as well as
approaching curves. We present some properties which allow us to obtain an
algorithm that compares the behavior of two implicitly defined algebraic plane
curves at the infinity. As an important result, we prove that if two plane
algebraic curves have the same asymptotic behavior, the Hausdorff distance
between them is finite.

11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat