Multicomponent Number Systems

• Authors: V. Majerník
• Languages of publication: EN

Abstracts

EN

We introduce three types of the four-component number systems which are constructed by joining the complex, binary and dual two-component numbers. We study their algebraic properties and rewrite the Euler and Moivre formulas for them. The most general multicomponent number system joining the complex, binary dual numbers is the eight-component number system, for which we determine the algebraic properties and the generalized Euler and Moivre formulas. Some applications of the multicomponent number systems in differential and integral calculus, which are of physical relevance, are also presented.

Keywords

EN

02.10.Lh

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 1996
• Volume: 90
• Issue: 3
• Pages: 491-498

Dates

published

1996-09

received

1996-02-13

(unknown)

1996-05-07

Contributors

author

V. Majerník

• Department of Theoretical Physics, Palacký University, Svobody 26, 77146 Olomouc, Czech Republic

Identifiers

DOI

10.12693/APhysPolA.90.491