KHALSA PUBLICATIONS

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    2182 research outputs found

    Problem-Based Teaching Design in Engineering Mathematical Analysis Course

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    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

    On The Teaching Innovation of The Differential Equation Course for Engineering Students

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    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

    On the existence of a bounded variation solution of a fractional integral equation in L1[0, T] due to the spread of COVID 19

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    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

    Backward doubly stochastic differential equations (BDSDEs): Existence and Uniqueness

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    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 condition

    On Hesitant Fuzzy Primary Ideal In Γ- ring

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    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 semiprimar

    The Use of One Sample t-Test in the Real Data

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     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

    Article Review: Survey about Generalizing Distances

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    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

    Distributions generated by the boundary values of functions in Privalov spaces

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    We characterise the distributions generated by the boundary values of functions from Privalov spaces

    Hypergraphs: Application in Food networks

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    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

    An analytical approximate method for solving unsteady state two-dimensional convection-diffusion equations

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     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

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