Cover Image

System of hypercpomplex operations in Maple

The program-algorithmic system of operations on hypercomplex numbers is considered. The most important procedures included in the system, its structure, listing of programs, and examples of their application are presented.Operating with hypercomplex numbers, especially in symbolic form, causes consi...

Full description

Saved in:

Bibliographic Details
Date:	2017
Main Authors:	Kalinovsky, J. А., Boyarinova, Y. E., Sukalo, A. S., Khitsko, J. V.
Format:	Article
Language:	Ukrainian
Published:	Інститут проблем реєстрації інформації НАН України 2017
Subjects:	hypercomplex numerical system procedure computer algebra operation Maple
Online Access:	http://drsp.ipri.kiev.ua/article/view/126528
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Data Recording, Storage & Processing

Institution

Data Recording, Storage & Processing

Similar Items

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

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

Studying of Computing Properties of System of Antiquaternions
by: Turenko, A. S.
Published: (2014)

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

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

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

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

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

APPLICATION OF THE COMPUTING ENVIRONMENT MAPLE TO THE CALCULATION OF THE DYNAMICS OF THE ELECTROMAGNETS IN THE COMPLICATED SYSTEMS OF FORCED CONTROL
by: Baida, E. I., et al.
Published: (2019)

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

Features of representations of exponential functions in HNS of high dimensions by software of hypercomplex calculations
by: Боярінова, Ю. Є., et al.
Published: (2021)

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

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

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

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

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

PECULIARITIES OF CALCULATING STATIONARY HEATING OF WINDINGS OPERATING IN COMPLEX FORCED CONTROL SYSTEMS
by: Baida, E. I., et al.
Published: (2019)

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

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

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

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

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

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

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

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

OPERATOR METHOD IN THE PROBLEM OF THE H-POLARIZED WAVE DIFFRACTION BY TWO SEMI-INFINITE GRATINGS PLACED IN THE SAME PLANE
by: Kaliberda, M. E., et al.
Published: (2021)

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

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

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

ENERGY STORAGE SYSTEMS APPLICATION FOR OPERATION MANAGEMENT PROBLEMS IN ELECTRIC POWER SYSTEM OF UKRAINE. STATUS AND DEVELOPMENT PROSPECTS
by: Bolotnyi, N., et al.
Published: (2022)

COMPUTING EXPERIMENTS FOR CALCULATION OF ELECTROSTATIC AXISYMMETRIC FIELD IN PIECEWISE-HOMOGENEOUS INSULATION WITH SPHERICAL INCLUSIONS
by: Bezprozvannych, G. V., et al.
Published: (2014)

An automated analysis of the patient’s condition and assessment of medical sessions (hypoxic therary).
by: Poliagushko, L. G.
Published: (2019)

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

Algorithmic computation of principal posets using Maple and Python
by: Gąsiorek, Marcin, et al.
Published: (2018)

DETERMINATION OF INSULATION PARAMETERS OF CURRENT TRANSFORMERS AT MULTIPLE MEASUREMENTS IN MONITORING SYSTEMS UNDER WORKING VOLTAGE
by: Beliaev, V. K., et al.
Published: (2016)

Rings of differential operators on singular generalized multi-cusp algebras
by: Bavula, Volodymyr V., et al.
Published: (2025)

Galois orders of symmetric differential operators
by: Futorny, Vyacheslav, et al.
Published: (2017)

Representations and relative Rota-Baxter operators of Hom-Leibniz-Poisson algebras
by: Attan, Sylvain
Published: (2025)

The Use of Hyper-Complex Number Systems for Mathematical Modeling of Limit Modes Electrical Systems
by: Klipkov, S. I.
Published: (2012)

АНАЛІТИЧНИЙ МЕТОД ФОРМУВАННЯ ІНТЕГРОВАНИХ ДИНАМІЧНИХ МОДЕЛЕЙ ТА ЇХ ПРОГРАМНА РЕАЛІЗАЦІЯ
by: Sytnik, Aleksandr Alekseevich
Published: (2012)