On the Algebra of Intervals and Convex Bodies
Дата
Авторы
Markov,Svetoslav
Journal Title
Journal ISSN
Volume Title
Издатель
Journal of Universal Computer Science
Аннотация
Описание
We introduce and study abstract algebraic systems generalizing the arithmetic systems of intervals and convex bodies involving Minkowski operations such as quasimodules and quasilinear systems. Embedding theorems are proved and computational rules for algebraic transformations are given.
Ключевые слова
Interval arithmetic , convex bodies , Minkowski operations , commutative semigroups , isomorphic embedding , quasilinear space.