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Pure Mathematics for Theoretical Computer Science | 2023

The XENVMC communication protocol to improve the efficiency of live migration for co-resident virtual machines

One of the most important features offered by virtualization is the live migration of virtual machines, and it is defined as the migration of a virtual machine from one physical host to another physical host while maintaining the continuity of service for applications running on this machine. The PRE-COPY algorithm is one of the most important live migration algorithms. The working principle of this algorithm is based on the frequent transfer of changed memory pages (dirty page) between the source and the target, so that the repetition stops at a certain threshold. This algorithm suffers from a page re-send problem, which is moving the same memory pages repeatedly in each Itern, which increases the amount of data sent over the network, and thus the total live migration time increases and the total of memory pages transferred becomes much larger than The actual size of the memory. In this paper, we build a model to improve the total time of live migration in the event that co-resident Inter-VM communication. We have made a modification to the XENVMC communication protocol, which is a protocol based on the concept of shared memory to handle communication and speed up data transfer between co-resident virtual machines. The modification of the XENVMC protocol has improved the total live migration time and reduced the number of pages transmitted over the network, for two main reasons: the first is to reduce the number of changed pages in memory caused by communication between virtual machines, and the second reason is due to the acceleration of communication and data exchange between that co-resident Inter-VM communication.

groups
Barbara Charchekhandra mail
link https://doi.org/10.54216/PMTCS.010103

Volume & Issue

Vol. Volume 1 / Iss. Issue 1

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Pure Mathematics for Theoretical Computer Science | 2023

On the Concept of Symbolic 7-Plithogenic Real Matrices

The main goal of this paper is to study the properties of symbolic 7-plithogenic matrices with real entries, where an algebraic view of their properties and relations will be presented and discussed. Also, we present many theorems that concern the computing of their eigenvalues and eigenvectors and their connection with classical ordinary matrices. Many related examples will be provided to clarify the validity of our work.

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Khadija Ben Othman mail -
Oliver Von Shtawzen mail -
Ahmad Khaldi mail -
Rozina Ali mail
link https://doi.org/10.54216/PMTCS.010201

Volume & Issue

Vol. Volume 1 / Iss. Issue 2

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Pure Mathematics for Theoretical Computer Science | 2023

On the Symbolic 8-Plithogenic Matrices

The main goal of this paper is to study the properties of symbolic 8-plithogenic matrices with real entries, where an algebraic view of their properties and relations will be presented and discussed. Also, we present many theorems that concern the computing of their eigenvalues and eigenvectors and their connection with classical ordinary matrices. Many related examples will be provided to clarify the validity of our work.

groups
Khadija Ben Othman mail -
Oliver Von Shtawzen mail -
Ahmad Khaldi mail -
Rozina Ali mail
link https://doi.org/10.54216/PMTCS.010202

Volume & Issue

Vol. Volume 1 / Iss. Issue 2

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Pure Mathematics for Theoretical Computer Science | 2023

On A Numerical Treatment of The Falkner–Skan Equation

This paper presents an iterative method based on spline function approximations for the numerical solution of the Falkner–Skan equation (FSE) over a semi-infinite interval. This technique will transform the FSE into two initial value problems, so the solution of FSE will be reduced from the interval [0,¥[ into [0,1]. Spline approximations are applied directly to the FSE without its reducing into a system of first-order differential equations, thus, the algorithm of spline method has a computational cost that is cost-effective. The spline solution of the FSE is existent and unique, and the convergence analysis for the spline method applied to the FSE is discussed. Numerical results are compared with those obtained by previous methods under various instances of the FSE. The comparisons show the accuracy and efficiency of the presented methodology.

groups
Arwa Hajjari mail
link https://doi.org/10.54216/PMTCS.010203

Volume & Issue

Vol. Volume 1 / Iss. Issue 2

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Galoitica: Journal of Mathematical Structures and Applications | 2023

Introduction to Neutrosophic Bayes Estimation Theory

This research presents the concept of neutrosophic Bayesian estimation defining the neutrosophic loss function, neutrosophic risk function, neutrosophic posterior risk function and neutrosophic maximum a posteriori estimator. Minimization of the neutrosophic posterior risk of the estimator is also discussed. An algebraic isomorphism is used to simplify equations solving. As an application of the presented theorems, a sample drawn from a neutrosophic gamma distribution with a conjugate prior is discussed and studied and the parameter of the formulated distribution is successfully estimated using neutrosophic quadratic loss function which results an estimator that equals the posterior mean.

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Nizar Altounji mail -
Mohamed Bisher Zeina mail -
Moustafa Mazhar Ranneh mail
link https://doi.org/10.54216/GJMSA.070105

Volume & Issue

Vol. Volume 7 / Iss. Issue 1

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Galoitica: Journal of Mathematical Structures and Applications | 2023

Data with Intuitionistic Plithogenic attributes and its analysis

Recent time a problem is addressed while dealing the data with multi-valued attributes and its dynamicity. The problem is that these types of data set contain lots of opposite, non-opposite and uncertainty unconsciously. One of the suitable examples is handling soil data sets and its pattern for water storage and plant growth.  The precise representation of these types of data sets and its multi-veracity is one of the crucial tasks for the data science researchers. To achieve this goal, algebra of Intuitionistic Plithogenic set and its graph is utilized in this paper. The proposed method is explained using the example of Soil pollution.

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Prem Kumar Singh mail
link https://doi.org/10.54216/GJMSA.070201

Volume & Issue

Vol. Volume 7 / Iss. Issue 2

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Galoitica: Journal of Mathematical Structures and Applications | 2023

Introduction to Symbolic 2-Plithogenic Probability Theory

In this paper we present for the first time the concept of symbolic plithogenic random variables and study its properties including expected value and variance. We build the plithogenic formal form of two important distributions that are exponential and uniform distributions. We find its probability density function and cumulative distribution function in its plithogenic form. We also derived its expected values and variance and the formulas of its random numbers generating. We finally present the fundamental form of plithogenic probability density and cumulative distribution functions. All the theorems were proved depending on algebraic approach using isomorphisms. This paper can be considered the base of symbolic plithogenic probability theory.

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Mohamed Bisher Zeina mail -
Nizar Altounji mail -
Mohammad Abobala mail -
Yasin Karmouta mail
link https://doi.org/10.54216/GJMSA.070202

Volume & Issue

Vol. Volume 7 / Iss. Issue 2

Details open_in_new
Pure Mathematics for Theoretical Computer Science | 2023

The Decay of The Solutions of a Nonlinear Viscoelastic Hyperbolic Equation

We study under some conditions on p, m and suitable conditions on g, the decay of solutions of the nonlinear viscoelastic hyperbolic equation in problem (P) as t→+∞, with Ω is a bounded domain in R^N (N>1), with smooth boundary Γ, and a, b, w are positive constants, m≥2, P≥2, and the function g(t) satisfying some conditions. We show that the energy of solutions decays exponentially if m =2 and polynomial if m >2, provided that the initial data are small enough.

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Murtada Ali Maqdisi mail
link https://doi.org/10.54216/PMTCS.010104

Volume & Issue

Vol. Volume 1 / Iss. Issue 1

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International Journal of Artificial Intelligence and Education Technology | 2023

Electronic Portfolio for Secondary School Teachers as a Tool for Forming its Competitiveness

The research is devoted to the actual problem of developing criteria for an electronic portfolio of a secondary school teacher according to a rating system. In the theoretical part of the research, the analysis of scientific and methodological literature on the problem of the elaboration of the content and criteria for evaluating the teacher's activity in accordance with modern requirements for the teaching profession was carried out. The respondents to this study were 1661 teachers at general education schools of the Republic of Uzbekistan. To conduct an experimental study, questions for the questionnaire were developed in accordance with the criteria of the rating system for evaluating the activities of a teacher identified during a theoretical analysis. The survey was conducted anonymously, which allows us to speak about the reliability of the results.

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Madina Zakirova mail -
Bahodir Zaripov mail
link https://doi.org/10.54216/IJAIET.020102

Volume & Issue

Vol. Volume 2 / Iss. Issue 1

Details open_in_new