Applied Mathematics

The purpose of this paper is to introduce the idea of rough fuzzy sets in nearrings. We introduce the notion of rough fuzzy sets with respect to an ideal of a nearring which is an extended notion of an ideal of a ring and we derive some properties of the lower and upper approximations in a nearring.

In the present paper, MHD flow past an impulsively started vertical plate with variable temperature and constant mass diffusion in the presence of Hall current is studied. The fluid considered is an electrically conducting, absorbing-emitting radiation but a non-scattering medium. The Laplace transform technique has been used to find the solutions for the velocity profile and Skin friction. The velocity profile and Skin friction have been studied for different parameters like Schmidt number, Hall parameter, Magnetic parameter, Mass Grashof number, Thermal Grashof number, Prandtl number, and Time. The effect of parameters is shown graphically and the values of the skin-friction for different parameters have been tabulated.

In this paper we solved the problem of identification of distribution one of many hypotheses for three independent objects by study of simple homogeneous stationary finite state of Markov chains.

This paper analyzes the influence of thermal radiation on Soret and Dufour, steady MHD free convection heat and mass transfer from a vertical surface in a doubly stratified Darcy porous medium with viscous dissipation. The governing non–linear partial differential equations have been reduced to the coupled ordinary differential equations by the similarity transformations. The resulting equations are then solved numerically by using the implicit finite difference scheme. The effects of various parameters entering into the problem have been examined on the flow field. The non dimensional velocity, wall temperature and concentration profiles are displayed graphically and discussed in detail.

In this paper we define sets G-weakly compact relative to a topological space through ?-open sets. Further we investigate the relationships between these sets and G ?-weakly compact subspaces.

Since the world is full of indeterminacy, the neutrosophics found their place into contemporary research. In this paper we define rough neutrosophic sets and study their properties. Some propositions in this notion are proved. Possible application to computer sciences is touched upon.

An analytical solution of two-dimensional MHD free convective double diffusive dusty flow of a viscous, incompressible, electrically conducting and heat-absorbing fluid past a vertical permeable porous plate in presence of radiation and chemical reaction is presented. The plate is assumed to move with a constant velocity in the direction of fluid flow, while free stream velocity is assumed to follow the exponentially increasing small perturbation law. The Velocity, Temperature, Concentration, Skin friction, Nusselt number and Sherwood number distributions are derived and have shown through graphs and tables by using simple perturbation technique.

This article is a comprehensive study to find out the maximum age group victims of certain diseases due to the usage of pesticide Endosulfan people in South Indian State of Kerala (Palakkad and Kasargod) using CETD matrix. In the year 2003 W.B.Vasantha used to study migrant labours who were affected by HIV/AIDS. For this paper the data have been collected from Palakkad and Kasargod District of Kerala covering 101 victims.

Let G = (V,E) be a simple graph. A set S ? V is a dominating set of G, if every vertex in V? S is adjacent to atleast one vertex S. Let Dg(Pn, i) be the family of geodetic dominating sets of the graph Pn with cardinality 'i'. Let dg(Pn, i) = | Dg(Pn, i)|. In this paper, we obtain a recursive for dg(Pn, i). Using the recursive formula, we construct the polynomial, Dg(Pn,x) = xi which we call geodetic dominating polynomial of Pn and obtain some properties of this polynomial.

Functions of multi-Pendula systems in spatial motion in classical mechanics can be derived using the Lagrangian formalism. Limited research has been done for plane and spatial motion of linearly suspended mass units. This paper is therefore intended for multiple (many) masses linearly connected at varying lengths and for relatively small angular displacements in spatial motion. The objective is to develop governing relations of spatial motions in 3-dimensions for multi- pendula systems set to oscillate in space. The basis of the study is to formulate the Lagrangian for a multi-pendula system in spatial dynamics and determine the Lagangian functions and equations of the resultant motions.