Features of representations of exponential functions in HNS of high dimensions by software of hypercomplex calculations

Features of representations of exponential functions in HNS of high dimensions by software of hypercomplex calculations

By one of the creators of hyper-complex numbers V. Hamilton was the first proposed a constructive definition of nonlinear transcendental functions from hypercomplex variables. In particular, the researcher proposed to define the exponential function of a quaternion variable as the sum of a power ser...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Datum:	2021
Hauptverfasser:	Боярінова, Ю. Є., Каліновський, Я. О.
Format:	Artikel
Sprache:	Ukrainian
Veröffentlicht:	Інститут проблем реєстрації інформації НАН України 2021
Schlagworte:	hypercomplex number system (HNS) function representation exponent characteristic number computer algebra systems algebraic operation Cayley table
Online Zugang:	http://drsp.ipri.kiev.ua/article/view/239191
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Data Recording, Storage & Processing

Institution

Data Recording, Storage & Processing

Ähnliche Einträge

Method of hypercomplex numbers systems generation for modeling digital reversible filters of 4th order
von: Kalinovsky, Ya. A., et al.
Veröffentlicht: (2019)

Isomorphism of Commutative Hypercomplex Number Systems and Representations of Exponential Functions in Them
von: Каліновський, Я. О., et al.
Veröffentlicht: (2012)

Construction of High-Dimensional Isomorphic Hypercomplex Number Systems
von: Боярінова, Ю. Є., et al.
Veröffentlicht: (2012)

Criteria Conceived Commutative Hypercomplex Number Systems Direct Sum of Low-Dimensional Systems
von: Kalinovsky, J. А.
Veröffentlicht: (2012)

Structure of an algoritsm for quick two-dimensional convolution by means of isomorphing hypercomplex numerical systems
von: Kalinovsky, Ya. A., et al.
Veröffentlicht: (2018)

Dynamic network model based on the use of hypercomplex number systems
von: Ланде, Д. В., et al.
Veröffentlicht: (2020)

The General Case of an Isomorphism of Commutative Hypercomplex Number Systems and Presentation of Exponential Functions in Them
von: Kalinovsky, Ja. A., et al.
Veröffentlicht: (2012)

Hypercomplex Approach to Modeling of Reputation in Social Networks
von: Lande, D. V., et al.
Veröffentlicht: (2013)

Recursive method for constructing linear convolution algorithms of various lengths using hypercomplex number systems.
von: Kalinovsky, Ya. A., et al.
Veröffentlicht: (2019)

System of hypercpomplex operations in Maple
von: Kalinovsky, J. А., et al.
Veröffentlicht: (2017)

A study of algebraic and functional properties of generalized hyper-complex number systems of fourth dimension
von: Kalynovskyi, J. A., et al.
Veröffentlicht: (2017)

Constructing representations of the logarithmic function in the same class of commutative hypercomplex numerical systems of fourth dimension
von: Kalinovskiy, J. A., et al.
Veröffentlicht: (2016)

The Structure of a Hyper Fast Calculation Method Linear Convolution of Discrete Signals
von: Калиновський, Я. О.
Veröffentlicht: (2013)

Synthesis of matrix representations of generalized quaternions
von: Kalinovsky, Ya. O., et al.
Veröffentlicht: (2014)

Algorithms for Fast Computation of Cyclic Convolutions with the Notion of Discrete Signals Hypercomplex Numbers
von: Kalinovsky, Ya. O., et al.
Veröffentlicht: (2014)

Study of Symmetries Operator of Isomorphism Hypercomplex Number Systems and Their Application for the Synthesis of Algorithms of Fast Calculations of Cyclic Convolution
von: Kalinovsky, Ya. O.
Veröffentlicht: (2014)

Application of non-canonical hypercomplex numerical systems to optimize total parametric sensitivity of reversible digital filters
von: Kalinovsky, Ya. O., et al.
Veröffentlicht: (2014)

Hypercomplex Parametric Numerical System in the Mathematical Modeling
von: Klipkov, S. I.
Veröffentlicht: (2013)

Development of representations of hyperbolic and trigonometric nonlinearities inside the system of generalized quaternions
von: Kalinovsky, Ya. O., et al.
Veröffentlicht: (2016)

Computing characteristics of one class of non-commutative hypercomplex number systems of 4-dimension
von: Kalinovsky, Ya. O., et al.
Veröffentlicht: (2014)

Generalized analysis of matrix representations for associative hypercomplex number systems used in power engineering
von: Klipkov, S. I.
Veröffentlicht: (2014)

Study of relations between the generalized quaternions and procedure of doubling of hypercomplex numerical systems
von: Kalinovsky, Ya. O., et al.
Veröffentlicht: (2015)

Algorithmic and Structural Circuit Technology Characteristics for Hardware Implementation of Operations with Quaternions in Functional Processors
von: Kalinovsky, Ya.O., et al.
Veröffentlicht: (2013)

About relationship between table algebra of infinite tables and multiset table algebra
von: Glushko, I.M.
Veröffentlicht: (2018)

Investigation of properties of generalized hyper-number systems of the fourth order found with help of the Grassmann-Clifford doubling procedure
von: Kalinovsky, J. A., et al.
Veröffentlicht: (2016)

Mathematical modeling representations of exponential and logarithmic functions in the hypercomplex numerical system of generalized quaternions
von: Kalinovsky, Ya. O., et al.
Veröffentlicht: (2015)

Features of representations of exponential functions in HNS of high dimensions by software of hypercomplex calculations
von: Yu. Ye. Boiarinova, et al.
Veröffentlicht: (2021)

Studying of Computing Properties of System of Antiquaternions
von: Turenko, A. S.
Veröffentlicht: (2014)

A study of efficiency usage of representations for functions of hype-complex variable
von: Kalinovsky, Ya. O., et al.
Veröffentlicht: (2016)

Group of continuous transformations of real interval preserving tails of \(G_2\)-representation of numbers
von: Pratsiovytyi, M. V., et al.
Veröffentlicht: (2020)

Automorphic equivalence of the representations of Lie algebras
von: Shestakov, I., et al.
Veröffentlicht: (2018)

Representations of nodal algebras of type \(\mathrm{A}\)
von: Drozd, Yuriy A., et al.
Veröffentlicht: (2018)

A method of selecting hyper complex numbers systems for modeling digital reversible filters
von: Kalinovsky, Ya. A., et al.
Veröffentlicht: (2019)

On characteristic properties of semigroups
von: Bondarenko, Vitaliy M., et al.
Veröffentlicht: (2015)

Studying the Properties of a Single Hypercomplex Generalization of Quaternions
von: Turenko, A. S.
Veröffentlicht: (2014)

On the representation type of Jordan basic algebras
von: Kashuba, Iryna, et al.
Veröffentlicht: (2017)

Transformations of \((0,1]\) preserving tails of \(\Delta^{\mu}\)-representation of numbers
von: Isaieva, Tetiana M., et al.
Veröffentlicht: (2016)

Cryptographic Protection of Information Objects by Block Transformation from the Positional Namber System into the Residual Classes System
von: Матов, О. Я., et al.
Veröffentlicht: (2012)

Cryptographic Protection of Information Objects by Block Transformation of the System of Residual Classes to a Positional Number System
von: Mаtоv, О. Y., et al.
Veröffentlicht: (2012)

Гіперкомплексне представлення групи Лоренца
von: Karplyuk, K.S., et al.
Veröffentlicht: (2023)