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Short Remark on (p 1 , p 2 , p 3)-Complex Numbers.

Authors :
Richter, Wolf-Dieter
Source :
Symmetry (20738994); Jan2024, Vol. 16 Issue 1, p9, 15p
Publication Year :
2024

Abstract

Movements on surfaces of centered Euclidean spheres and changes between those with different radii mean complex multiplication in R 3 . Here, the Euclidean norm, which generates the spheres, is replaced with an inhomogeneous functional and a product is introduced in a geometric analogy. Because a change in the radius now leads to a change in the shape of the sphere, a three-dimensional dynamic complex structure is created. Statements about invariant probability densities, generalized uniform distributions on generalized spheres, geometric measure representations, and dynamic ball numbers associated with this structure are also presented. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20738994
Volume :
16
Issue :
1
Database :
Complementary Index
Journal :
Symmetry (20738994)
Publication Type :
Academic Journal
Accession number :
175130803
Full Text :
https://doi.org/10.3390/sym16010009