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   This paper is devoted to a new approach of the arithmetic of intervals. 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.

32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess