Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Floating Bodies of Equilibrium. Explicit Solution   Explicit solutions of the two-dimensional floating body problem (bodies that
can float in all positions) for relative density rho different from 1/2 and of
the tire track problem (tire tracks of a bicycle, which do not allow to
determine, which way the bicycle went) are given, which differ from circles.
Starting point is the differential equation given in archive physics/0205059
and Studies in Appl. Math. 111 (2003) 167-183.

26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
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