Investigation of properties of generalized hyper-number systems of the fourth order found with help of the Grassmann-Clifford doubling procedure

Abstract

Using the Grassmann-Clifford doubling procedure, the generalized hyper-complex number systems (HNS) of the fourth order has been formed. Available options in the definition of these systems makes them a generalization of whole classes of various HNS. It has been studied the algebraic and functional properties of generalized HNS and their relationship with the HNS lower dimensions. Refs: 23 titles.

Authors and Affiliations

Ya. Kalinovsky, Yu. Boyarinova, A. Sukalo

Keywords

Related Articles

Multilayer perceptron as the primary instrument for image clustering

A multilayer perceptron as an instrument of the primary analysis of the image, in particular, its application to search for regions of interest or clusterization is described. Various implementations of training procedur...

Application of tools for text analysys as an instrument for optimizing decision support in the tasks of eleborating plans of social and economic development of Ukraine

A question of the use of SAS Text Mining tools in tasks of decision support has been examined. Text analytics tools are used to automate the preliminary analysis of the problem, determining factors in the external enviro...

Problems of active protection of information from leakage through vibroacoustic channels

Properties of different materials in the propagation of vibration signals in them, at different distances from the source of vibrations are investigated. The measurements have been performed for glass, concrete, plastic,...

Investigation of the factors of informal communication inside social networks for identification of agents carrying privacy threats

It is suggested the results of an investigation of informal communication in social net-works for identification of agents carrying the privacy threats. The developed computer program as a tool for the research is presen...

Development of representations of hyperbolic and trigonometric nonlinearities inside the system of generalized quaternions

It is considered the process of mathematical modeling for representations of hyperbolic and trigonometric nonlinearities in hypercomplex number system of generalized quaternions by the method of associated system of diff...

Download PDF file
  • EP ID EP177691
  • DOI -
  • Views 87
  • Downloads 0

How To Cite

Ya. Kalinovsky, Yu. Boyarinova, A. Sukalo (2016). Investigation of properties of generalized hyper-number systems of the fourth order found with help of the Grassmann-Clifford doubling procedure. Реєстрація, зберігання і обробка даних, 18(3), 3-11. https://europub.co.uk/articles/-A-177691