This lecture introduces the Jordan canonical form of a matrix — we prove that every square matrix is equivalent to a (essentially) unique Jordan matrix and we give a method to derive the latter. We also introduce the notion of minimal polynomial and we point out how to obtain it from the Jordan canonical form. Finally, we make an encounter with companion matrices. 1 Jordan form and an applicati...

In this paper, we study and analyze the algebraic structure of the circular cone. We establish a new efficient spectral decomposition, set up the Jordan algebra associated with the circular cone, and prove that this algebra forms a Euclidean Jordan algebra with a certain inner product. We then show that the cone of squares of this Euclidean Jordan algebra is indeed the circular cone itself. The...

Background: The COVID-19 pandemic left hundreds of small farmers in economic problems. objective was to measure the effect impact on Jordan. Methods: Quantitative descriptive study used. questionnaire used as a tool collect data about conditions farmers. A random sample 630 were selected fill this questionnaire. Result: first prices which decreased due decrease quality. second imports and expor...

background: the control of spread of hiv takes concerted efforts at both national and international levels. education is an important component of preventing the spread of hiv. this study aimed to assess the attitudes of parents, teachers and students towards informing children about hiv/aids, attitudes concerning 'proper' age to learn about hiv/aids, possible differences in attitudes relating ...

This paper is devoted to the study of interactions between stationary electromagnetic sources for minimal and nonminimal CPT-odd photon sector Standard Model Extension (SME), where we search mainly physical phenomena not present in Maxwell electrodynamics. First consider sector, Lorentz violation caused by Carroll-Field-Jackiw (CFJ) term, namely $\sim\epsilon^{\mu\nu\alpha\beta}\left(k_{AF}\rig...

We take an algorithmic and computational approach to a basic problem in abstract algebra: determining the correct generalization to dialgebras of a given variety of nonassociative algebras. We give a simplified statement of the KP algorithm introduced by Kolesnikov and Pozhidaev for extending polynomial identities for algebras to corresponding identities for dialgebras. We apply the KP algorith...

This study aims to examine the relationship between dimensions of transformational leadership and improving employee performance by reducing incivility in private education schools Zarqa city (Jordan). The central methodology employed is survey analysis. quantitative data were collected using an electronic questionnaire system (used due its ease use speed implementation). from 238 participants ...

A Novel High Quality High Capacity Image Hiding Scheme Based on Image Compression and an Optical Pixel Adjustment Process Lo'ai A. Tawalbeh a , Omar Banimelhem b & Mohammed Al-Batati b a Department of Computer Engineering, Jordan University of Science and Technology (JUST), Irbid, Jordan b Department of Network Engineering and Security, Jordan University of Science and Technology (JUST), Irbid,...