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Arithmetic for closed balls.
- Source :
- QM - Quaestiones Mathematicae; Oct2022, Vol. 45 Issue 9, p1459-1471, 13p
- Publication Year :
- 2022
-
Abstract
- Inspired by circular complex interval arithmetic, an arithmetic for closed balls in ℝ<superscript>n</superscript> is pursued. In this sense, the properties of certain operations on closed balls in ℝ<superscript>n</superscript>, some of which related either to the Hadamard product of vectors or to the 2-fold vector cross product when n ∈ {3,7}, are studied. In particular, known results for operations on closed balls in ℂ, which can be identified with ℝ<superscript>2</superscript>, are extended to closed balls in ℝ<superscript>n</superscript>. [ABSTRACT FROM AUTHOR]
- Subjects :
- INTERVAL analysis
ARITHMETIC
Subjects
Details
- Language :
- English
- ISSN :
- 16073606
- Volume :
- 45
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- QM - Quaestiones Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 160240782
- Full Text :
- https://doi.org/10.2989/16073606.2021.1949402