Search Results - Shawki Al-Rashed

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  1. 1

    Application of Groebner Bases to Study a Communication System by Alaa Jony, Shawki Al-Rashed

    Published 2022-02-01

    This paper introduces a relationship between the independence of polynomials associated with the links of the network, and the Jacobian determinant of these polynomials. Also, it presents a way to simplify a given communication network through an algorithm that splits the network into subnets and re...

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  2. 2

    Attacking Jacobian Problem Using Resultant Theory by Alaa Jony, Shawki Al-Rashed

    Published 2022-04-01

         This paper introduces a relation between resultant and the Jacobian determinant by generalizing Sakkalis theorem from two polynomials in two variables to the case of (n) polynomials in (n) variables. This leads us to study the results of the type:  ,            and use this relation to attack...

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