5 citations · 12 across the 9 of their papers we have counts for
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Reversible Digital Filters Total Parametric Sensitivity Optimization using Non-canonical Hypercomplex Number Systems
Yakiv O. Kalinovsky, Yuliya E. Boyarinova, Iana V. Khitsko
Digital filter construction method, which is optimal by parametric sensitivity, based on using of non-canonical hypercomplex number systems is proposed and investigated. It is show…
Generalized quaternions and their relations with Grassmann-Clifford procedure of doubling
Yakiv O. Kalinovsky, Yuliya E. Boyarinova, Alina S. Turenko +1
The class of non-commutative hypercomplex number systems (HNS) of 4-dimension, constructed by using of non-commutative Grassmann-Clifford procedure of doubling of 2-dimensional sys…
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…
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…