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Perturbation Differential A-Infinity Algebra, Alaa Hassan Noreldeen Mohamed
Perturbation Differential A-Infinity Algebra, Alaa Hassan Noreldeen Mohamed
Applied Mathematics & Information Sciences
In the present paper, we investigate and introduce the perturbation of dA∞-algebra and the homotopy property (SDR-case). We also verify the homotopy theory of dA∞-algebras and A∞- differential module. In addition, We construct a property of homotopy invariant property of A∞-differential algebras.
D-Integrity And E-Integrity Numbers In Graphs, Sultan Senan Mahde, Alanod M. Sibih, Veena Mathad
D-Integrity And E-Integrity Numbers In Graphs, Sultan Senan Mahde, Alanod M. Sibih, Veena Mathad
Applied Mathematics & Information Sciences
Inspired by the definition of integrity and the alternative formulations for integrity, we investigate the D−Integrity and E−Integrity numbers of a graph in the present study. The D-Integrity number of a graph G is denoted by DIk(G) defined as: DIk(G) = ∑ p Dk (G), and the E -Integrity number of a graph G, is denoted by E Il (G) defined as: E Il (G) = ∑ p El (G). In this paper, we establish k=1 l=0 the general formulas for the D−Integrity and E−Integrity numbers of some classes of graphs. Also, some properties of D−Integrity and E−Integrity numbers are …
A New Technique For Solving Unbalanced Intuitionistic Fuzzy Transportation Problems, A. Edward Samuel, P. Raja, Srinivasarao Thota
A New Technique For Solving Unbalanced Intuitionistic Fuzzy Transportation Problems, A. Edward Samuel, P. Raja, Srinivasarao Thota
Applied Mathematics & Information Sciences
In this paper, a new method is proposed for solving unbalanced Intuitionistic fuzzy transportation problems assuming that a decision maker is uncertain about the precise values of transportation costs, demand and supply of the product. In this proposed method, transportation costs, demand and supply of the product are represented by triangular Intuitionistic fuzzy numbers. To illustrate it, a numerical example is solved and the obtained result is compared with the results of other existing methods. It is very easy to understand this method which can be applied to real life transportation problems.
Optimal Control Of A Fishery Utilizing Compensation And Critical Depensation Models, Mahmud Ibrahim
Optimal Control Of A Fishery Utilizing Compensation And Critical Depensation Models, Mahmud Ibrahim
Applied Mathematics & Information Sciences
This study proposes optimal control problems with two different biological dynamics: a compensation model and a critical depensation model. The static equilibrium reference points of the models are defined and discussed. Also, bifurcation analyses on the models show the existence of transcritical and saddle-node bifurcations for the compensation and critical depensation models respectively. Pontyagin’s maximum principle is employed to determine the necessary conditions of the model. In addition, sufficiency conditions that guarantee the existence and uniqueness of the optimality system are defined. The characterization of the optimal control gives rise to both the boundary and interior solutions, with the former …
The Efficacy Measurement Of Treatment Methods: An Application To Stress-Strength Model, Rashad M. El-Sagheer, Mahmoud M. M. Mansour
The Efficacy Measurement Of Treatment Methods: An Application To Stress-Strength Model, Rashad M. El-Sagheer, Mahmoud M. M. Mansour
Applied Mathematics & Information Sciences
This paper addresses how to use a statistical model to compare two different treatment methods for cystic fibrosis disease. The stress-strength model is used in a parametric form to compare the efficacy of the two treatment methods. Since the available data in most clinical situations are censored, the stress-strength model is investigated in presence of progressively Type II censored data. The kumaraswamy exponential (Kw-E) distribution is used as a parametirc form for the stress-strength model. The statistical inference of the stress–strength reliability R = P[Y < X] is performed when X and Y are independent random variables and follow the Kw-E distribution.
Hermite-Hadamard Type Mean Square Integral Inequalities For Stochastic Processes Whose Twice Mean Square Derivative Are Generalized Η−Convex., Miguel Vivas-Cortez, Artion Kashuri, Carlos Garc ́Ia, Jorge E. Herna ́Ndez Herna ́Ndez
Hermite-Hadamard Type Mean Square Integral Inequalities For Stochastic Processes Whose Twice Mean Square Derivative Are Generalized Η−Convex., Miguel Vivas-Cortez, Artion Kashuri, Carlos Garc ́Ia, Jorge E. Herna ́Ndez Herna ́Ndez
Applied Mathematics & Information Sciences
In the present work, a new concept of generalized convexity (i.e. generalized η−convexity ) is established and applied to stochastic process.Using the aforementioned concept, some new Hermite - Hadamard type inequalities for stochastic processes are found. From these results, some other inequalities for convex stochastic processes and s-convex stochastic processes in the first sense are deduced. Some Lemmas are introduced and the classical Ho ̈lder and power mean inequalities are used as tools for the development of the main results.
A Note On The Characteristic Properties Of Geodesic Sub-(Α,B,S)-Preinvex Functions, Wedad Saleh, Dem Kılıc ̧Man
A Note On The Characteristic Properties Of Geodesic Sub-(Α,B,S)-Preinvex Functions, Wedad Saleh, Dem Kılıc ̧Man
Applied Mathematics & Information Sciences
In the present paper, we investigate the properties of geodesic sub-(α,b,s)-preinvex functions on Hadamard manifolds and establish some basic properties in both general and differential cases. Furthermore, we explored sufficient conditions of optimal solutions and proved some new inequalities under geodesic sub-(α,b,s)-preinvexity.
Back Radiation Reduction In Jean’S Slot Patch Antenna Using Reflector, Indira Raman, Thenmozhi Alagarsamy
Back Radiation Reduction In Jean’S Slot Patch Antenna Using Reflector, Indira Raman, Thenmozhi Alagarsamy
Applied Mathematics & Information Sciences
In this paper, the minimization of back radiation by means of sophisticated designs using the Jeans slot patch antenna with reflector is discussed. We focus on decreasing the back radiation and increasing the gain and directivity. It is shown that, the reflecting layer with an air gap of 5 mm with first layer maximize the gain. The simulation results show that the antenna parameters are enhanced reaching a gain up to 9.14dBi with directivity 9.21 dB with -30 dB return loss.
Fixed Point Results For Some Contractions In Non- Triangular Non-Archimedean Extended Fuzzy B-Metric Spaces, V. Parvaneh, R. J. Shahkoohi, N. Hussain, Z. Bagheri
Fixed Point Results For Some Contractions In Non- Triangular Non-Archimedean Extended Fuzzy B-Metric Spaces, V. Parvaneh, R. J. Shahkoohi, N. Hussain, Z. Bagheri
Applied Mathematics & Information Sciences
In this paper, we investigate the existence of fixed points under various contractive conditions such as Geraghty contractions, comparison contractions and JS-contractions in the setup of extended fuzzy $b$-metric spaces. Moreover, some examples are provided here to illustrate the usability of the obtained results. Our results generalize and extend comparable results in fuzzy metric and fuzzy b-metric spaces.
The Maximum-Entropy-Based Weight Function In Discrete-Activity-Thermostatted Models, Carlo Bianca, Marco Menale
The Maximum-Entropy-Based Weight Function In Discrete-Activity-Thermostatted Models, Carlo Bianca, Marco Menale
Applied Mathematics & Information Sciences
Recently the weighted thermostatted kinetic theory framework with discrete activity has been proposed for modeling the weighted interactions in complex systems. This paper addresses the derivation of the weight function as a solution of an inverse problem based on the macroscopic quantities and specifically on the high-order moments. The weight function, obtained by employing the maximum entropy principle, generalizes the previous published results obtained by employing the zero-order moment.
Polynomial And Non-Polynomial Splines With The Fourth Order Of Approximation, I. G. Burova, D. E. Zhilin
Polynomial And Non-Polynomial Splines With The Fourth Order Of Approximation, I. G. Burova, D. E. Zhilin
Applied Mathematics & Information Sciences
This paper addresses the construction of polynomial and non-polynomial splines of the fourth order of approximation. Smooth non-polynomial splines of the minimal defect are constructed using preliminarily constructed Hermite-type splines. The estimates of the approximations are given and the constants they include are calculated.
Approach To Modeling And Control Of Operational Modes For Chemical And Engineering System Based On Various Information, Batyr Orazbayev, Dinara Kozhakhmetova, Kulman Orazbayeva, Balbupe Utenova
Approach To Modeling And Control Of Operational Modes For Chemical And Engineering System Based On Various Information, Batyr Orazbayev, Dinara Kozhakhmetova, Kulman Orazbayeva, Balbupe Utenova
Applied Mathematics & Information Sciences
Method on development of mathematical models for chemical and engineering system (CES) in the conditions of deficit and illegible initial information is presented based on system approach and use of the available information sources. The method is implemented when developing models of chemical and engineering system of reforming block used for the production of high-quality gasoline. Mathematical problem definitions for control and selection of effective operating modes for chemical and engineering system are formalized and obtained on the basis of mathematical modeling. Based on principles of relative assumption and equality principles, heuristic algorithm is developed for the solution of formulated …
An Investigation On Edge Ideal Of A Simple Graph In The Theory Of Coatomic Modules, Carlos Henrique Tognon, Radwan A. Kharabsheh
An Investigation On Edge Ideal Of A Simple Graph In The Theory Of Coatomic Modules, Carlos Henrique Tognon, Radwan A. Kharabsheh
Applied Mathematics & Information Sciences
We introduce local cohomology for the edge ideal of a graph, and investigate some properties of local cohomology modules for Artinian modules and coatomic modules, such that the property to be finitely generated, Artinian and coatomic. Also we present vanishing results. Moreover, we present results which involve the theory of local cohomology modules together with the edge ideal of a finite simple graph, with no isolated vertices.
Adaptation Of Residual Power Series Approach For Solving Time-Fractional Nonlinear Kline-Gordon Equations With Conformable Derivative, Rasha Amryeen, Fatimah Noor Harun, Mohammed Al-Smadi, Azwani Alias
Adaptation Of Residual Power Series Approach For Solving Time-Fractional Nonlinear Kline-Gordon Equations With Conformable Derivative, Rasha Amryeen, Fatimah Noor Harun, Mohammed Al-Smadi, Azwani Alias
Applied Mathematics & Information Sciences
In this paper, the time-fractional nonlinear Kline-Gordon equations are considered and solved using the adaptive of residual power series method. The fractional derivative is considered in a conformable sense. Analytical solutions are obtained based on conformable Taylor series expansion by substituting the truncated conformable series solutions to residual error functions. This adaptation can be implemented as a novel alternative technique to handle many nonlinear issues occurring in physics and engineering. Effectiveness, validity, and feasibility of the proposed method are demonstrated by testing some numerical applications. Tabular and graphic results indicate that the method is superior, accurate and appropriate for solving …
Euler Matrices And Their Algebraic Properties Revisited, Yamilet Quintana, William Ram ́Irez, Alejandro Urieles
Euler Matrices And Their Algebraic Properties Revisited, Yamilet Quintana, William Ram ́Irez, Alejandro Urieles
Applied Mathematics & Information Sciences
This paper addresses the generalized Euler polynomial matrix E(α)(x) and the Euler matrix E. Taking into account some properties of Euler polynomials and numbers, we deduce product formulae for E (α)(x) and define the inverse matrix of E . We establish some explicit expressions for the Euler polynomial matrix E (x), which involves the generalized Pascal, Fibonacci and Lucas matrices, respectively. From these formulae, we get some new interesting identities involving Fibonacci and Lucas numbers. Also, we provide some factorizations of the Euler polynomial matrix in terms of Stirling matrices, as well as a connection between the shifted Euler matrices …
Separation Axioms Modulo A Tolerance Relation, Mireya R. Bracamonte, Angel Guale, Jorge E. Vielma
Separation Axioms Modulo A Tolerance Relation, Mireya R. Bracamonte, Angel Guale, Jorge E. Vielma
Applied Mathematics & Information Sciences
In this paper we present separation axioms T0, T1, T2, R0, module a tolerance relation. That is, the separation axioms are generalized, fixing previously closeness or tolerable level of error. We also investigate their properties and relations between these axioms and some types of classic separation axioms.
Dynamics Of A Delayed Rumor Propagation Model With Consideration Of Psychological Factors And Forgetting Mechanism, Mouhcine Naim, Fouad Lahmidi, Abdelwahed Namir
Dynamics Of A Delayed Rumor Propagation Model With Consideration Of Psychological Factors And Forgetting Mechanism, Mouhcine Naim, Fouad Lahmidi, Abdelwahed Namir
Applied Mathematics & Information Sciences
A delayed rumor propagation model with psychological factors and forgetting mechanism is formulated. The local stability of the rumor-free equilibrium and the rumor-prevailing equilibrium is discussed by analyzing the corresponding characteristic equations. Using Lyapunov functional, we prove that the rumor-free equilibrium is globally asymptotically stable when the basic reproduction number R0 ≤ 1. Also, a sufficient condition is obtained for the global asymptotic stability of the rumor-prevailing equilibrium when R0 > 1. Numerical examples are presented to illustrate the theoretical results.
Performance Evaluation Of Some Confidence Intervals For Estimating The Shape Parameter Of The Two-Parameter Lomax Distribution, Nitaya Jantakoon, Poonsak Sirisom
Performance Evaluation Of Some Confidence Intervals For Estimating The Shape Parameter Of The Two-Parameter Lomax Distribution, Nitaya Jantakoon, Poonsak Sirisom
Applied Mathematics & Information Sciences
The Lomax distribution has had wide application in a variety of fields. It has been used in the analysis of income data, business failure data, and atmospheric data. In this article, we propose new approaches for the confidence intervals of the shape parameter of the Lomax distribution based on the maximum likelihood (ML) approach, bootstrap (BS) approach, Bayesian approach using Jeffreyss Prior (BJ) and Conjugate Prior (BC), and generalized probability weighted moment (GPWM). The performance of each method is assessed by simulation in terms of the coverage probabilities and average widths by the Monte Carlo simulation. An extensive simulation study …
Properties Of Some New Classes Of Generalized Exponentially Convex Functions, Muhammad Aslam Noor, Khalida Inayat Noor
Properties Of Some New Classes Of Generalized Exponentially Convex Functions, Muhammad Aslam Noor, Khalida Inayat Noor
Applied Mathematics & Information Sciences
In this paper, we define and introduce some new concepts of the generalized exponentially convex functions. We investigate several properties of the generalized exponentially convex functions and discuss their relations with convex functions. Optimality conditions are characterized by a class of variational inequalities. Several interesting results characterizing the generalized exponentially convex functions are obtained. The results represent a significant improvement of in the previous results.
Global Stability Of A Secondary Dengue Viral Infection Model, A. A. Raezah, A. M. Elaiw, A. S. Alofi
Global Stability Of A Secondary Dengue Viral Infection Model, A. A. Raezah, A. M. Elaiw, A. S. Alofi
Applied Mathematics & Information Sciences
This paper proposes and analyzes a secondary dengue viral infection model with two antibodies, namely heterologous antibody and homologous antibody. The well-posedness of the model is established by showing that the solutions of the model are nonnegative and bounded. We have shown that the model has four steady states, namely: infection-free steady state S0, infected steady state with inactive antibody immune response S1, infected steady state with only active heterologous antibody S2, and infected steady state with only active homologous antibody S3. We derive three bifurcation parameters: the basic infection reproduction number R0, the heterologous antibody immune response activation number …
Extreme Analysis Of Maxima Rainfall In The Upper East Region Of Ghana: A Case Study Of Navrongo Municipality, Irene Angbing, Abdul Ghaniyyu Abubakari, Suleman Nasiru
Extreme Analysis Of Maxima Rainfall In The Upper East Region Of Ghana: A Case Study Of Navrongo Municipality, Irene Angbing, Abdul Ghaniyyu Abubakari, Suleman Nasiru
Applied Mathematics & Information Sciences
Climate change represents great concern to the world as a result of extreme weather conditions, such as floods, droughts and heat waves, which are observed all over the world. The sustainanble development of developing nations is greatly affected because their economies are sensitive to these conditions. Extreme weather conditions have had devastating effect on human lives, infrastructure and the environment. Therefore, the present paper investigates the extremal behaviour of yearly maximum rainfall data of the Upper East Region of Ghana with Navrongo Municipality as a case study, using generalized extreme value distribution considering both stationary and non-stationary models. Data consist …
Modeling And Analysis Of Symptomatic And Asymptomatic Infections Of Zika Virus Disease With Non-Monotonic Incidence Rate, Naba Kumar Goswami, B. Shanmukha
Modeling And Analysis Of Symptomatic And Asymptomatic Infections Of Zika Virus Disease With Non-Monotonic Incidence Rate, Naba Kumar Goswami, B. Shanmukha
Applied Mathematics & Information Sciences
In this Zika virus disease model, we have incorporated a non-monotonic incidence rate for the human to human transmission, which describes the psychological effect from the behavioural change of the susceptible individuals and the crowding effect of the infected individuals. The proposed epidemic model has seven mutually exclusive sub-classes of humans and mosquitoes which are analyzed by a suitable approach to control the Zika virus. Transmission of Zika virus is of three types, which are between human to human, human to mosquito and mosquito to human. The existence, the local stability of the disease-free, and the endemic equilibrium have been …
Differential Graded Algebras And Derived E∞-Algebras, Alaa Hassan Noreldeen Mohamed
Differential Graded Algebras And Derived E∞-Algebras, Alaa Hassan Noreldeen Mohamed
Applied Mathematics & Information Sciences
In this paper, we introduce the derived E-infinity and the homology of differential graded algebra and seen as an E- infinity algebra.We display two hypotheses of the homology theory of differential graded algebra A over commutative ground ring k. Furthermore, exhibit that it is the minimal derived E∞-algebra. Finally, we give satisfying fitting relations in the class E-infinity algebra.
An Automated Tool For Data Flow Testing Of Asp.Net Web Applications, Islam T. Elgendy, Moheb R. Girgis, Adel A. Sewisy
An Automated Tool For Data Flow Testing Of Asp.Net Web Applications, Islam T. Elgendy, Moheb R. Girgis, Adel A. Sewisy
Applied Mathematics & Information Sciences
The structure of ASP.NET web applications is very different from traditional ones. This paper discusses the adaptation of data flow testing techniques for such applications. In addition, it describes the data flow analysis of ASP.NET web applications, presents a proposed model for data flow testing of these applications, and describes the structure of a supporting automated tool. The tool generates the definition-use pairs for all variables in the application under test, then the application is executed with test data to cover these pairs, if possible. At the end of each test run, the tool shows the covered and uncovered pairs. …
Numerical Study Of Mhd-Duct Flow Using The Two-Dimensional Finite Difference Method, K. R. Raslan, Khalid K. Ali
Numerical Study Of Mhd-Duct Flow Using The Two-Dimensional Finite Difference Method, K. R. Raslan, Khalid K. Ali
Applied Mathematics & Information Sciences
This article presents a two-dimensional finite difference method (FDM) to solve the model of magnetohydrodynamics (MHD) duct flow of an incompressible fluid in a rectangular duct under the action of an external uniform magnetic field applied transverse to the flow direction has been investigated. All the sides of the duct are electrically insulated. The coupled momentum and magnetic induction equations for velocity and induced magnetic field are first transformed into coupled non-dimensional equations by introducing non-dimensional quantities.
Adaptive Multimodal Feature Fusion For Content-Based Image Classification And Retrieval, Samy Bakheet, Mahmoud Mofaddel, Emadedeen Soliman, Mohamed Heshmat
Adaptive Multimodal Feature Fusion For Content-Based Image Classification And Retrieval, Samy Bakheet, Mahmoud Mofaddel, Emadedeen Soliman, Mohamed Heshmat
Applied Mathematics & Information Sciences
Content-Based Image Retrieval (CBIR) is a potential application of computer vision to the image retrieval problem to search images from large-scale image databases according to a users request in terms of a query image. Semantic gap remains an endemic and awkward challenge for the development of high accuracy CBIR systems. It arises due to the inherent difference between the digital representation of images by machine and high-level semantic concepts of images. In this paper, we introduce an adaptive feature fusion framework for Content-Based Image Classification and Retrieval (CBICR) based on stacked random forests for feature fusion, where salient multimodal features, …
Fuzzy Soft Inner Product Spaces, Nashat Faried, Mohamed S. S. Ali, Hanan H. Sakr
Fuzzy Soft Inner Product Spaces, Nashat Faried, Mohamed S. S. Ali, Hanan H. Sakr
Applied Mathematics & Information Sciences
In this paper, we investigate the structure of a fuzzy soft inner product on fuzzy soft linear spaces and invoke a definition in terms of fuzzy soft points. We examine some properties and examples of fuzzy soft inner product spaces as well as fuzzy soft Cauchy- Schwartz inequality. It is shown that fuzzy soft orthogonality and fuzzy soft Hilbert spaces can be used as new tools to understand the most complex problems.
Support Vector Regression And Beta Distribution For Modeling Incumbent Party For Presidential Elections, C. R. Kikawa, M. N. Ngungu, D. Ntirampeba, A. Ssematimba
Support Vector Regression And Beta Distribution For Modeling Incumbent Party For Presidential Elections, C. R. Kikawa, M. N. Ngungu, D. Ntirampeba, A. Ssematimba
Applied Mathematics & Information Sciences
The present paper aims to model, predict, and explain presidential election results using selected quarterly macroeconomic indicators, i.e., gross national product, consumer price index, unemployment rate and gross national product from 1994-2017. We also seek to provide predictions of presidential winner prior to the elections based on the beta distribution and the support vector regression (SVR) as prediction models.Two models are primarily built based on beta distribution and SVR. Due to the forecasting aspect, model performance focuses on one goodness-of-fit measure, i.e., the prediction error rather than the squared correlation coefficient R2 as it makes little sense in a practical …
Soliton Propagation In A Left-Handed Four-Level Atomic System, N. Boutabba
Soliton Propagation In A Left-Handed Four-Level Atomic System, N. Boutabba
Applied Mathematics & Information Sciences
In this paper we analyze and discuss the solitons propagation in a left-handed four-level atomic system coupled to three laser fields. The system is analyzed through the density matrix formalism. We show that by varying the external probe field amplitude in time, the soliton propagation is obtained in the left-handed medium . Our scheme allows to engineer under certain conditions, the soliton propagation in the four- level atomic system while maintaining the negative refractive index.
Model Averaged Benchmark Dose Analysis For Multiple Outcomes In Developmental Toxicity Experiments, Eman Khorsheed, Mehdi Razzaghi
Model Averaged Benchmark Dose Analysis For Multiple Outcomes In Developmental Toxicity Experiments, Eman Khorsheed, Mehdi Razzaghi
Applied Mathematics & Information Sciences
To assess the adverse effect of a toxin, animal bioassay experiments are frequently designed and performed on animals. In a typical experiment, pregnant mice are exposed to a dose of a chemical during a critical period of gestation. Animals are sacrificed before term and uterine content is examined for the number of fetuses that are dead/resorbed, malformed or normal. The outcomes are used to fit a dose-response relationship for risk assessment and determination of safe dosage levels. The choice of the dose-response model can severely affect the results. Although several models can fit the data well in the experimental dose …