Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Power and beauty of interval methods   Interval calculus is a relatively new branch of mathematics. Initially
understood as a set of tools to assess the quality of numerical calculations
(rigorous control of rounding errors), it became a discipline in its own rights
today. Interval methods are usefull whenever we have to deal with
uncertainties, which can be rigorously bounded. Fuzzy sets, rough sets and
probability calculus can perform similar tasks, yet only the interval methods
are able to (dis)prove, with mathematical rigor, the (non)existence of desired
solution(s). Known are several problems, not presented here, which cannot be
effectively solved by any other means.
  This paper presents basic notions and main ideas of interval calculus and two
examples of useful algorithms.

28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math