Multicomponent Number Systems |
| V. Majerník Department of Theoretical Physics, Palacký University, Svobody 26, 77146 Olomouc, Czech Republic |
| Received: February 13, 1996; revised version: May 7, 1996 |
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| 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. |
| DOI: 10.12693/APhysPolA.90.491 PACS numbers: 02.10.Lh |