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Computing Characteristics of One Class of Non-commutative Hypercomplex Number Systems of 4-dimension
Yakiv O. Kalinovsky, Dmitry V. Lande, Yuliya E. Boyarinova +1
The class of non-commutative hypercomplex number systems (HNS) of 4-dimension constructed by using of non-commutative procedure of Grassman-Clifford doubling of 2-dimensional syste…
Clifford Type Algebra Characteristics Investigation
Yakiv O. Kalinovsky, Dmitry V. Lande, Dr. Sc. +2
The main properties of hypercomplex generalization of quaternion system as antiquaternion are presented in this article. Definitions and studied of antiquaternions conjugation are…
Building of Networks of Natural Hierarchies of Terms Based on Analysis of Texts Corpora
Dmitry Lande
The technique of building of networks of hierarchies of terms based on the analysis of chosen text corpora is offered. The technique is based on the methodology of horizontal visib…
Some isomorphic classes for noncanonical hypercomplex number systems of dimension 2
Yakiv O. Kalinovsky, Dmitry V. Lande, Yuliya E. Boyarinova +1
Building of some isomorphic classes for noncanonical hypercomplex number systems o dimension 2 is described. In general case, such systems with specific constraints to structural c…
Inifnite hypercomplex number system factorization methods
Yakiv O. Kalinovsky, Dmitry V. Lande, Yuliya E. Boyarinova +1
The method of obtaining the set of noncanonical hypercomplex number systems by conversion of infinite hypercomplex number system to finite hypercomplex number system depending on m…