Asian Journal of Current Engineering and Maths

Emphasis is made on the development of techniques for tracking a user-selected object through digital image sequences in multimedia systems. The ability to track objects in sequences is useful in situations where the motion of objects is important. It is also useful when a moving object is difficult to see and needs to be highlighted. A tracking tool is also of benefit to the developers of a multimedia system to automatically 'mark up' a moving object so a user of the system can select it and manipulate it.

In this paper, we introduce a class of functions (C,B) which are analytic and p-valent in the unit disk U. We obtain a necessary and sufficient condition for a function to be in
(C,B) ,distortion bounds and convex combination.

2010 Mathematics Subject Classification: Primary 30C45, Secondary
30C50,26A33.

In this work   Homotopy Perturbation transform Method (HPTM) is used for analytical treatment of the Cauchy Reaction-Diffusion equations .This method is the combined form of Homotopy perturbation method and Laplace transform method. The Nonlinear terms can be easily decomposed by use of He’s polynomials. This method can provide analytical solutions to the problems by just utilizing the initial conditions. The proposed iterative scheme finds the solution without any discretization, linearization or restrictive assumptions. The proposed method solves nonlinear problems without using Adomain polynomials which is the advantage of this method over Adomain Decomposition method. The results reveal that the HPTM is very effective, simple, convenient, flexible and accurate. Outcomes prove that HPTM is in very good agreement with ADM, VIM and HPM.

An analytical study is performed to investigate the effects of chemical reaction and radiation on unsteady MHD flow past an exponentially accelerated vertical plate with variable temperature and variable mass diffusion in the presence of applied transverse magnetic field. It is assumed that the effect of viscous dissipation is negligible in the energy equation and there is a first order chemical reaction between the diffusing species and the fluid. The flow is assumed to be in x’ ‐ direction which is taken along the infinite vertical plate in the upward direction and y’ ‐ axis is taken normal to the plate. At time t’ > 0, the both temperature and species concentration levels near the plate are raised linearly with time t. A general exact solution of the governing partial differential equations is obtained by usual closed analytical method. The velocity, temperature and concentration fields are studied for different physical parameters like thermal Grashof number (Gr), mass Grashof number (Gm), Schmidt number (Sc), Prandtl number (Pr), radiation parameter (R), magnetic field parameter (M), accelerated parameter (a), heat absorption parameter, chemical reaction parameter (K)  and time (t) graphically.

n this paper, the term, ‘pseudo integral ternary semigroup’ is introduced.  It is proved that every pseudo symmetric ternary semigroup with nonempty kernel is a pseudo integral ternary semigroup.  It is also proved that an ideal a of a ternary semigroup t is pseudo symmetric iff t\a is a pseudo integral ternary semigroup.  If t is a pseudo integral ternary semigroup then it is proved that t is strongly archimedean, t is archimedean, t has no proper completely prime ideals, t has no proper completely semiprime ideals, t has no proper prime ideals, t has no proper semiprime ideals, every element in t is a k-potent element are equivalent.  It is proved that if s is a maximal ternary subsemigroup of a pseudo integral ternary semigroup t such that  then t\s is a minimal prime ideal in t.

 

Mathematical  subject classification (2010) : 20M07; 20M11; 20M12.

Frequency analysis plays vital role in the applications like cryptanalysis, steganalysis [6], system identification, controller tuning, speech recognition, noise filters, etc. Discrete Fourier Transform (DFT) is a principal mathematical method for the frequency analysis. The way of splitting the DFT gives out various fast algorithms. In this paper, we present the implementation of two fast algorithms for the DFT for evaluating their performance. One of them is the popular radix-2 Cooley-Tukey fast Fourier transform algorithm (FFT) [1] and the other one is the Grigoryan FFT based on the splitting by the paired transform [2]. We evaluate the performance of these algorithms by implementing them on the TMS320C5515 and TMS320C5416 DSPs. We developed C programming for these DSP processors. Finally we show that the paired-transform based algorithm of the FFT is faster than the radix-2 FFT, consequently it is useful for higher sampling rates. Working at higher data rates is a challenge in the applications of Digital Signal Processing.

This paper concern an axisymmetric incompressible Stokes flow past a swarm of porous cylindrical particles enclosing a solid cylindrical core, using cylinder-in-cell model. The flow has been divided into two regions. The region I is the region outside the porous cylindrical particle enclosed by a hypothetical cylindrical cell in which the flow is governed by Stokes equation. However, region II is the porous cylinder enclosing a solid cylindrical core and flow through which is governed by Brinkman equation. This model is in resemblance with solid particles having a coating of porous layers due to adsorption of polymers during the membrane filtration process. Continuity of velocity components, continuity of normal and tangential stress at the permeable boundary are used. The no slip condition at solid cylindrical core has been employed. On the hypothetical cell the uniform velocity and Mehta-Morse boundary condition is used.  Some previous results for drag force have been verified. Variation of the drag coefficient with permeability parameter and particle volume fraction  has been studied and some new results are reported. The flow patterns through both the regions have been analyzed by stream lines.. Effect of particle volume fraction  on flow pattern is also discussed. In our opinion, these results will have significant contributions in analyzing the hydrodynamic permeability of a membrane and also in calculating the specific resistance of aggregated colloidal cake layers in membrane filtration process which is used for the wastewater treatment.

 

MSC (2000): 76D07

Given a graph G, a substantial independent set S is a subset of the vertices G which satisfies the conditions namely, S is an independent set of G and more over every vertex in V\S is adjacent to at most one vertex in S. The substantial independence number  is the maximum cardinality of a maximal substantial independent set S of G. In this paper we study the substantial independence number for the generalized Petersen graphs, by finding both sharp bounds and exact results for the Generalized Peterson Graphs.

 AMS No.:  05C69

The  five dimensional  Cosmic string with constant Bulk viscous fluid in Lyra Manifold  in the presence of cosmological constant  is considered. The physical and kinematical behaviors of these models are discussed. There is a finite expansion in the model. The expansion in the model decreases as the time increases.

 

PACS:04.30.Nk,98.80Cq,98.70Vc