5 citations · 12 across the 9 of their papers we have counts for
9 papers
The basic principles and the structure and algorithmically software of computing by hypercomplex number
Ya. Kalinovsky, Yu. Boyarinova, A. Sukalo +1
In article the basic principles put in a basis of algorithmicallysoftware of hypercomplex number calculations, structure of a software, structure of functional subsystems are consi…
Computer modeling of exponential and logarithmic functions of generalized quaternions in symbolic computation system
Yakiv O. Kalinovsky, Yuliya E. Boyarinova, Dmitry V. Lande +1
The paper deals with the process of mathematical modeling representations of exponential and logarithmic functions hypercomplex number system of generalized quaternions via determi…
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…
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…
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…
The model of information retrieval based on the theory of hypercomplex numerical systems
D. V. Lande, Ya. A. Kalinovskiy, Yu. E. Boyarinova
The paper provided a description of a new model of information retrieval, which is an extension of vector-space model and is based on the principles of the theory of hypercomplex n…