JOURNAL OF ADVANCES IN MATHEMATICS https://rajpub.com/index.php/jam en-US <p><a href="http://creativecommons.org/licenses/by/4.0/" rel="license"><img src="https://i.creativecommons.org/l/by/4.0/88x31.png" alt="Creative Commons License" /></a> All articles published in <em>Journal of Advances in Linguistics</em> are licensed under a <a href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</a>.</p> editor@rajpub.com (Editorial Office) jam@rajpub.comJ (Bavneet Kaur) Sat, 22 Jan 2022 05:39:31 +0000 OJS 3.3.0.7 http://blogs.law.harvard.edu/tech/rss 60 Existence of a bounded variation solution of a nonlinear integral equation in L1(R+) https://rajpub.com/index.php/jam/article/view/9317 <p>In this paper we study the existence of a unique solution of a nonlinear integral equation in the space of bounded variation on an unbounded interval by using measure of noncompactness and Darbo fixed point theorem.</p> Wagdy El-Sayed, Ragab O. Abd El-Rahman, Sheren A. Abd El-Salam, Asmaa El Shahawy Copyright (c) 2022 Wagdy El-Sayed, Ragab O. Abd El-Rahman, Sheren A. Abd El-Salam, Asmaa El Shahawy https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9317 Mon, 14 Nov 2022 00:00:00 +0000 Rate of Growth of Triple Sequence Spaces Defined in Double Orlicz Function https://rajpub.com/index.php/jam/article/view/9302 <p><span style="font-weight: 400;">By this article we present the rate for growth of triple sequences space</span> <span style="font-weight: 400;"> which defined by double Orlisz function and introduce universal properties of these spaces.</span></p> Elaf Hussein Copyright (c) 2022 Elaf Hussein https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9302 Sun, 02 Oct 2022 00:00:00 +0000 A Unifying Theory for Quantum Physics, Part 1: https://rajpub.com/index.php/jam/article/view/9284 <p><span style="font-weight: 400;">Is the quantum world as strange as they say? If this were an unsolved mathematics question, we might try a new angle of attack. We know quantum mechanics (QM) is the most accurate and productive science humans ever had, meaning its probability predictions are accurate. Every probability has two square roots. The Born rule says either would produce the same probability. Assume nature uses the negative of QM’s equations. What could that mean? We’d need to revise Feynman’s path-integrals and Schrödinger’s equation. If waves travel in the opposite direction as what QM believes, that could produce the negative equations. No wave-particle duality. Free particles would follow backwards zero-energy waves coming from detectors. This, surprisingly, gets rid of quantum weirdness. Our proposal is that nature uses the negative of QM’s equations because particles follow zero-energy waves backwards. Considerable evidence fits this model, including a neutron-interferometer and the Davisson-Germer experiments, a quantum-eraser experiment, Wheeler-</span><em><span style="font-weight: 400;">gedanken</span></em><span style="font-weight: 400;"> and double-slit experiments, Bell-test experiments, Stern-Gerlach, and high-energy scattering experiments. Finally, we propose a plan for how to motivate students to want to study quantum technologies, thereby addressing the most prominent problem in QM today: the shortage of an educated workforce, the scarcity of aspiring students.</span></p> Jeffrey H. Boyd Copyright (c) 2022 Jeffrey H. Boyd https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9284 Sat, 17 Sep 2022 00:00:00 +0000 The Use of One Sample t-Test in the Real Data https://rajpub.com/index.php/jam/article/view/9279 <p><span style="font-weight: 400;"> The t-statistic is the ratio of the departure of the estimated value of a parameter from its hypothesized value to its standard error. The term "t-statistic" is abbreviated from "hypothesis test statistic". It was first derived as a posterior distribution in 1876 by Helmertand Lüroth. The purpose of this research is to study the t-test, especially the one sample t-test to determine if the sample data come from the same population. The grade points average (GPA) of the students for the second, third, and fourth grades of the Department of Mathematics Education, Tishk International University are used. The one sample t test is used to predict the GPA of the students for the second, third, and the fourth grades respectively, in addition to the overall average scores for the three grades. The 95% confidence interval for the true population average is also conducted.</span></p> Mowafaq Al-kassab Copyright (c) 2022 Mowafaq Al-kassab https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9279 Sat, 03 Sep 2022 00:00:00 +0000 On hyper Z-algebras https://rajpub.com/index.php/jam/article/view/9271 <p><span style="font-weight: 400;">This study introduces the concept of hyperZ-algebra and investigates its features. In addition, we establish and prove a number of theorems about the relation between </span><span style="font-weight: 400;"> </span><span style="font-weight: 400;">(Ṟ</span><span style="font-weight: 400;">-</span><span style="font-weight: 400;">ḧZ </span><span style="font-weight: 400;">, </span><span style="font-weight: 400;">Ḉ</span><span style="font-weight: 400;">-</span><span style="font-weight: 400;">ḧZ </span><span style="font-weight: 400;">,</span><span style="font-weight: 400;"> Ḓ</span><span style="font-weight: 400;">-</span><span style="font-weight: 400;">ḧZ </span><span style="font-weight: 400;">,</span><span style="font-weight: 400;"> Ṱ</span><span style="font-weight: 400;">-</span><span style="font-weight: 400;">ḧZ </span><span style="font-weight: 400;">,</span><span style="font-weight: 400;"> Ṿ</span><span style="font-weight: 400;">-</span><span style="font-weight: 400;">ḧZ </span><span style="font-weight: 400;">). Moreover, we explain the hyper subalgebra ,a weakhyper Z-ideal and a stronghyper Z-ideal, as well as their relationship. Finally, the hyperhomomorphism Z-algebra is constructed and the isomorphism theorems are examined.</span></p> Sahar Jaafar Mahmood, Dhirgam Allawy Hussein Copyright (c) 2022 Sahar Jaafar Mahmood, Dhirgam Allawy Hussein https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9271 Sat, 20 Aug 2022 00:00:00 +0000 A New Class of Holomorphic Univalent Functions Defined by Linear Operator https://rajpub.com/index.php/jam/article/view/9258 <p>In the present work, we submit and study a new class AN(τ, λ, η, ρ) containing holomorphic univalent functions defined by linear operator in the open unit disk Λ={s ϵ C :|s | &lt;1} We get some geometric properties, such as, coefficient inequality, growth, and distortion bounds, convolution properties, convex set, neighborhood property, radii of starlikeness and convexity , weighted mean and arithmetic mean for functions belonging to the class AN(τ, λ, η, ρ)&nbsp;</p> Najah Ali Jiben Al-Ziadi, Ali Mohammed Ramadhan Copyright (c) 2022 Najah Ali Jiben Al-Ziadi, Ali Mohammed Ramadhan https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9258 Thu, 04 Aug 2022 00:00:00 +0000 On the existence of a bounded variation solution of a fractional integral equation in L1[0, T] due to the spread of COVID 19 https://rajpub.com/index.php/jam/article/view/9254 <p>In this article, we will investigate the existence and uniqueness of a bounded variation solution for a fractional integral equation in the space L1[0, T] of Lebesgue integrable functions.</p> Wagdy G. El-Sayed, Ragab O. Abd El-Rahman, Sheren A. Abd El-Salam, Asmaa A. El Shahawy Copyright (c) 2022 Wagdy G. El-Sayed, Ragab O. Abd El-Rahman, Sheren A. Abd El-Salam, Asmaa A. El Shahawy https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9254 Fri, 29 Jul 2022 00:00:00 +0000 Certain Families of Holomorphic and Sălăgean Type Bi-Univalent Functions Defined by (p,q)-Lucas Polynomials Involving a Modified Sigmoid Activation Function https://rajpub.com/index.php/jam/article/view/9253 <p>The aim of the present paper is to introduce a certain families of holomorphic and Sălăgean type bi-univalent functions by making use (p, q) - Lucas polynomials involving the modified sigmoid activation function Φ(δ)=z/(1+e<sup>-δ</sup>) δ&gt;=1 in the open unit disk Λ. For functions belonging to these subclasses, we obtain upper bounds for the second and third coefficients. Also, we debate Fekete-Szegö inequality for these families. Further, we point out several certain special cases for our results.</p> Ali Mohammed Ramadhan, and Najah Ali Jiben Al-Ziadi Copyright (c) 2022 Ali Mohammed Ramadhan, and Najah Ali Jiben Al-Ziadi https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9253 Thu, 21 Jul 2022 00:00:00 +0000 On Hesitant Fuzzy Primary Ideal In Γ- ring https://rajpub.com/index.php/jam/article/view/9251 <p>In this paper, we introduce the notions of hesitant fuzzy primary ideal and completely primary ideal, hesitant fuzzy semiprimary ideals of a -ring, and discuss the relation between hesitant primary ideal, completely primary and semiprimary</p> Mazen Omran Karim, Rand Shafea Ghanim Copyright (c) 2022 Mazen Omran Karim, Rand Shafea Ghanim https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9251 Thu, 21 Jul 2022 00:00:00 +0000 An analytical approximate method for solving unsteady state two-dimensional convection-diffusion equations https://rajpub.com/index.php/jam/article/view/9242 <p><strong> </strong>In this paper, an analytic approximate method for solving the unsteady two-dimensional convection-diffusion equations is introduced. Also, the convergence of the approximate methods is analyzed. Three test examples are presented, two have exact and one has not exacted solutions. The results obtained show that these methods are powerful mathematical tools for solving linear and nonlinear partial differential equations, moreover, new analytic Taylor method (NATM), reduced differential transform method (RDTM), and homotopy perturbation method (HPM), are more accurate and have less CPU time than the other methods.</p> A. S. J. Al-Saif, Zinah A. Hasan Copyright (c) 2022 A. S. J. Al-Saif, Zinah A. Hasan https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9242 Wed, 22 Jun 2022 00:00:00 +0000 Hesitant Fuzzy Prime Ideal of Γ- ring https://rajpub.com/index.php/jam/article/view/9230 <p>In this paper, we introduce the notions of hesitant fuzzy ideal, hesitant fuzzy prime ideal, hesitant fuzzy strongly prime ideal in gamma rings and hesitant 3-prime ideal. Also, we study the relation between the above concepts</p> Mazen Omran Karim, Rand Shafea Ghanim Copyright (c) 2022 Mazen Omran Karim, Rand Shafea Ghanim https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9230 Fri, 27 May 2022 00:00:00 +0000 Backward doubly stochastic differential equations (BDSDEs): Existence and Uniqueness https://rajpub.com/index.php/jam/article/view/9211 <p>In this paper, we present a class of stochastic differential equations with terminal condition, called backward doubly stochastic differential equations (BDSDEs). Precisely, we will prove the existence and uniqueness of the solutions of FBDSDEs but under weaker conditions</p> Asma Alwasm Copyright (c) 2022 Asma Alwasm https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9211 Thu, 24 Mar 2022 00:00:00 +0000 Hypergraphs: Application in Food networks https://rajpub.com/index.php/jam/article/view/9207 <p>A hypergraph is a generalization of a graph since, in a graph an edge relates only a pair of points, but the edges of a hypergraph known as hyperedges can relate groups of more than two points. The representation of complex systems as graphs is appropriate for the study of certain problems. We give several examples of social, biological, ecological and technological systems where the use of graphs gives very limited information about the structure of the system. We propose to use hypergraphs to represent these systems.</p> Ibtesam Ali Rasheed Alrowily Copyright (c) 2022 Ibtesam Ali Rasheed Alrowily https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9207 Sun, 13 Mar 2022 00:00:00 +0000 Some properties of meromrphic univalent functions with negative coefficients defined by Dziok-Srivastava operator https://rajpub.com/index.php/jam/article/view/9193 <p>The main aim of the present investigation is to introduce a new class of meromorphic univalent functions with negative coefficients defined by Dziok-Srivastava operator. Some geometric properties are introduced, like coefficient estimate, integral operator, Feket-Szegӧ bounds for this class of meromorphic functions.</p> Zainab Aodeh A. Mohmmed Copyright (c) 2022 Dziok-Srivastava Operator https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9193 Tue, 15 Mar 2022 00:00:00 +0000 Distributions generated by the boundary values of functions in Privalov spaces https://rajpub.com/index.php/jam/article/view/9201 <p>We characterise the distributions generated by the boundary values of functions from Privalov spaces.</p> Mejdin Saliji, Bedrije Bedjeti, Vesna Manova Erakovikj Copyright (c) 2022 Mejdin Saliji, Bedrije Bedjeti, Vesna Manova Erakovikj https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9201 Mon, 07 Mar 2022 00:00:00 +0000 On The Teaching Innovation of The Differential Equation Course for Engineering Students https://rajpub.com/index.php/jam/article/view/9202 <p>This paper focuses on the teaching innovation of differential equation course for engineering students, and explores the innovative methods and ways of teaching mode, teaching content and teaching means in this course.</p> shufen zhao Copyright (c) 2022 shufen zhao https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9202 Mon, 07 Mar 2022 00:00:00 +0000 Problem-Based Teaching Design in Engineering Mathematical Analysis Course https://rajpub.com/index.php/jam/article/view/9199 <p>According to the characteristics of engineering mathematics analysis course, this paper discuss the problem-based teaching design of engineering mathematics analysis from the perspectives of problem raising, problem analysis, problem solving and problem feedback during the whole teaching process.</p> Shufen Zhao Copyright (c) 2022 shufen zhao https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9199 Mon, 07 Mar 2022 00:00:00 +0000 Mathematical Modelling of Oil Pipeline Leakages Using Computational Fluid Dynamics - Case of BIDCO Oil Processing Refinery, Uganda. https://rajpub.com/index.php/jam/article/view/9163 <p>The leakage flow phenomena of a refinery oil pipe with a leakage point is numerically studied with the purpose to minimize oil leakage using Computational Fluid Dynamics (CFD) approach. Among consequences of oil pipe leakages are losses as a result of property loss (oil), cost of pipe replacement and also death due to fire or explosion. To understand the leakage phenomena, pipe characteristics at the leakage orifice are necessary. In the simulation, considering a pipe with a leak orifice of 0.002m, diameter 0.06 m and length 10 m, single phased flow was considered. The leakage through the pipe was studied based on fluid dynamics simulations using a Computational fluid dynamic tool ANSYS FLUENT software 17.2 where the Navier-Stokes were solved and for turbulence the standard k-ε was considered. Results from this study show that the leakage flow rate increases with increase in velocity inflow of the fluid. The pressure effect was also studied at the vicinity of the leak and results also show that an increase in velocity increases the pressure drop. Therefore, keeping the inflow velocity range of 0.1ms−1 to 2 ms−1 show minimal leakage rates.</p> Ali Wambi Wateya, Twaibu Semwogerere, Richard O. Awichi, Asaph Keikara Muhumuza Copyright (c) 2022 Ali Wambi Wateya, Twaibu Semwogerere, Richard O. Awichi, Asaph Keikara Muhumuza https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9163 Wed, 16 Feb 2022 00:00:00 +0000 W-Power N-Binormal Operator on Hilbert Space https://rajpub.com/index.php/jam/article/view/9166 <p>In this paper we present a new class of operators on Hilbert space called w-power n-binormal operator. We study this operator and give some properties of it.</p> Dr. Alaa Hussein Mohammed Copyright (c) 2022 Dr. Alaa Hussein Mohammed https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9166 Mon, 14 Feb 2022 00:00:00 +0000 Problem Oriented Learning and Teaching to Improve the Teaching Quality of Engineering Mathematical Analysis https://rajpub.com/index.php/jam/article/view/9187 <p>This paper objectively analyzes the challenges faced by the teaching of engineering mathematical analysis, analyzes the connotation and essence of problem-oriented learning and teaching, puts forward the problem-oriented learning and teaching mode, and tries to improve the teaching quality of engineering mathematical analysis.</p> Shufen Zhao Copyright (c) 2022 shufen zhao https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9187 Mon, 14 Feb 2022 00:00:00 +0000 Article Review: Survey about Generalizing Distances https://rajpub.com/index.php/jam/article/view/9170 <p>As known, in general topology the talking be about “nearness”. This is exactly needed to discuss subjects such convergence and continuity. The simple way to study about nearness is to correspond the set with a distance function to inform us how far apart two elements of are. The metric concept introduced by a French mathematician Maurice René Fréchet (1878 – 1973) in 1906 in his work on some points of the functional calculus. However, the name is due to a German mathematician Felix Hausdorff (1868 –1942) who is considered to be one of the founders of modern topology. In addition to these contribution, he contributed significantly to set theory, descriptive set theory, measure theory, and functional analysis.</p> Shaimaa S. Al-Bundi Copyright (c) 2022 Shaimaa Albundi https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9170 Tue, 08 Feb 2022 00:00:00 +0000 Jordan Generalized Centralizerhomo on Prime Rings. https://rajpub.com/index.php/jam/article/view/9159 <p><strong> </strong>In this article we introduce the concepts of generalized centralizerhomo and Jordan generalized centralizerhomo on prime ring. The aim object of this paper we prove: Every Jordan generalized centralizerhomo of 2-torsion free prime ring is Jordan generalized triple centralizerhomo on .</p> Mazen Karim Copyright (c) 2022 Mazen Karim https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9159 Sat, 22 Jan 2022 00:00:00 +0000