Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Almost periodic functions and an analytical method of solving the number
  partitioning problem   In the present paper, we study the limit sets of the almost periodic
functions $f(x)$. It is interesting that the values $r=\inf|f(x)|$ and
$R=\sup|f(x)|$ may be expressed in the exact form. We show that the ring $r\leq
|z|\leq R$ is the limit set of the almost periodic function $f(x)$ (under some
natural conditions on $f$). The exact expression for $r$ coincides with the
well known partition problem formula and gives a new analytical method of
solving the corresponding partition problem. Several interesting examples are
considered. For instance, in the case of the five numbers, the well-known
Karmarkar--Karp algorithm gives the value $m=2$ as the solution of the
partition problem in our example, and our method gives the correct answer
$m=0.$ The figures presented in Appendix illustrate our results.

22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph