Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An algebraic approach to the set of intervals (a new approach of
  arithmetic of intervals)   In this paper we present the set of intervals as a normed vector space. We
define also a four-dimensional associative algebra whose product gives the
product of intervals in any cases. This approach allows to give a notion of
divisibility and in some cases an euclidian division. We introduce differential
calculus and give some applications.

37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio