Mathematical Journal of Interdisciplinary Sciences
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Duplicating a Vertex with an Edge in Divided Square Difference Cordial Graphs
Get PDFIn this present work, we discuss divided square difference (DSD) cordial labeling in the context of duplicating a vertex with an edge in DSD cordial graphs such as path graph, cycle graph, star graph, wheel graph, helm graph, crown graph, comb graph and snake graph
Representation of Integers by Form f(x1, x2, x3) Over The Field Δf ,m
Get PDFThis paper deals with the representation by the quadratic form in three variables with odd prime invariants. In this paper a primitive quadratic form over the field of integers with odd invariants is considered and another form mutually primitive to it especially for the case m → and the field Δf,m does not change its form. Then it is proved that the number of representations by form is greater than the number of classes of integral primitive binary quadratic forms
On The Generalized Natural Transform
Get PDFIn this paper, we introduce the Natural transform in the generalized sense with the help of distribution theory. Inversion, Uniqueness theorems and some properties of generalized in¬tegral transform are proved
Some Applications of The New Integral Transform For Partial Differential Equations
Get PDFIn this paper we have derived Sadik transform of the partial derivatives of a function of two variables. We have demonstrated the applicability of the Sadik transform by solving some examples of partial differential equations. We have verified solutions of partial differential equations by Sadik transform with the Laplace transform and the Sumudu transform
Edge Vertex Prime Labeling for K2,n and K3,n Graphs
Get PDFIn my study, I inspect edge vertex prime labeling of some graphs like complete bipartite graphs K2,n & K 3,n . I proved that the graphs K 2,n for every n & K 3,n for n = 3, 4, …, 29 are edge vertex prime
Fixed Points of Almost Generalized (a, y)-Contractions with Rational Expressions
Get PDFIn this paper, we introduce almost generalized (a, y)-contractions with rational expression type mappings and establish the existence of fixed points for such mappings in complete partially ordered metric spaces. Further, we define `Condition (H)’ and prove the existence of unique fixed point under the additional assumption `Condition (H)’. Our results generalize the results of Arshad, Karapinar and Ahmad [1] and Harjani, Lopez and Sadarangani [2]
Variance Estimation Using Quality Characteristic
Get PDFThis paper deals with estimation of unknown population variance of study variable (y) using auxiliary qualitative characteristic. The properties of the proposed class of estimators is studied and is supported through two real data sets
Effect of Deformation on Semi–infinite Viscothermoelastic Cylinder Based on Five Theories of Generalized Thermoelasticity
Get PDFWe considera dynamical problem for semi-infinite viscothermoelastic semi infinite cylinder loaded mechanically and thermally and investigated the behaviour of variations of displacements, temperatures and stresses. The problem has been investigated with the help of five theories of the generalized viscothermoelasticity by using the Kelvin – Voigt model. Laplace transformations and Hankel transformations are applied to equations of constituent relations, equations of motion and heat conduction to obtain exact equations in transformed domain. Hankel transformed equations are inverted analytically and for the inversion of Laplace transformation we apply numerical technique to obtain field functions. In order to obtain field functions i.e. displacements, temperature and stresses numerically we apply MATLAB software tools. Numerically analyzed results for the temperature, displacements and stresses are shown graphically
On Some Inequalities Involving Harmonic Mean and Moments
Get PDFWe derive bounds on the second order moment of a random variable in terms of its arithmetic and harmonic means. Both discrete and continuous cases are considered and it is shown that the present bounds provide refinements of the bounds which exist in literature. As an application we obtain a lower bound for the spread of a positive definite matrix A in terms of traces of A, A-1 and A2. Our results compare favourably with those obtained by Wolkowicz and Styan (Bounds for eigenvalues using traces, Lin. Alg. Appl. 29, 471-506, 1980)
On χs-Orthogonal Matrices
Get PDFIn this paper we, introduced the concept of χs-orthogonal matrices and extended some results of Abaraetal, [3] in the context of secondary transpose