Multicomponent Number Systems
Vladimír Majerník · Acta Physica Polonica A · 1996
We introduce three types of the four-component number systems which are constructed by joining the compΙex, binary and dual two-component numbers.We study their algebraic properties and rewrite the Euler and Moivre formułas for them.The most general mułticomponent number system joining the compalex, 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.