Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polar tangential angles and free elasticae   In this note we investigate the behavior of the polar tangential angle of a
general plane curve, and in particular prove its monotonicity for certain
curves of monotone curvature. As an application we give (non)existence results
for an obstacle problem involving free elasticae.

32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th