An algebraic approach to the set of intervals (a new approach of arithmetic of intervals)

Details An algebraic approach to the set of intervals (a new approach of arithmetic of intervals) An algebraic approach to the set of intervals (a new approach of arithmetic of intervals)

2008-09-30

arxiv.org/abs/0809.5173v2

Computer Science

Numerical Analysis

Scientific paper

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.

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