Hydromagnetic two-phase convective flow of immiscible viscous liquids in a horizontal channel
ATUL KUMAR SINGH*, DALVIR SINGH*, N. P. SINGH AND AJAY KUMAR SINGH#
Abstract: The present study deals with hydromagnetic convective flow of two immiscible, viscous, incompressible, electrically conducting liquids in a horizontal parallel wall channel. Both the liquids are considered to have different viscosities, thermal and electrical conductivities occupying different heights. Exact solutions for velocity field and temperature field are obtained for the both phases. The expressions for flow flux and temperature flux are also derived. The results obtained are evaluated numerically, plotted graphically and discussed.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Note on Norm convergence of Martingales on Kosaki LP-spaces
A. A. TIJJANI
Abstract: In this paper we study the LP- norm convergence of martingales associated with Kosaki LP- spaces.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
On some graphs in electrical networks
M. Dhane and Shabbir Ahmed
Abstract: A physical interpretation can be viewed, in part, as a system of networks for communication and distribution of energy. Network models and solution techniques provide a rich and powerful framework which many engineering problems and electrical problems can be formulated and solved. A network model that is important from an applied standpoint is that of finding:
1) Shortest Path between two given nodes in graph G,
2) All paths between two nodes of the network passing through connected edges and without circuits in a linear graph as well as network graph.
Mathematics Subject Classification: (2006) AMS-MS06C, 37EG08.
Key words : Electrical Connectivity, Nodes, Dummy Edges, Directed Graphs.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Heat transfer effects on flow of viscous fluid through non-homogeneous porous medium
ATUL KUMAR SINGH*, P. K. SHARMA*, N. P. SINGH and AJAY KUMAR SINGH#
Abstract: This paper deals with heat transfer effects on flow of an electrically conducting, incompressible, viscous fluid through a non-homogeneous porous medium in the presence of heat source, oscillatory suction velocity and under the influence of transversely uniform magnetic field. The effects of various parameters on velocities, temperature distribution, skin-friction and rate of heat transfer are numerically discussed with the help of graphs and tables.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
1Software reliability of the commonly used software in Nigeria
Rufus C. Okoro1 and Edem E. Williams*2
Abstract: Reliability is an important characteristics of both software and hardware systems. It is a quality attribute that checks the potency of these systems based on their formal or informal applications. Sometimes it can be equated to be correctness. The aim of this study is to create a framework for accessing reliability of some commonly used software in Nigeria. In this study, data was collected from Lagos, Abuja, Port-Harcourt and Calabar, with Lagos considered as the major study area. The data was analyzed in two phases. The result shows that word processing was the highest preferred category of software used, and a model was derived to estimate reliability of the software based on 11 software quality attributes.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Peristaltic Flow of non-Newtonian fluid through cylindrical channels
D.V. Krishna** and V.B. Haleshappa*
Abstract: In this paper we discuss the peristaltic transport of an in compressible Non-Newtonian power law of fluid through a flexible cylindrical pipe. The perturbation analysis is carried out to obtain the velocity fields, the streamlines, the pressure rise per wavelength and the stresses, under the long wavelength approximation. The phenomena of reflux and trapping and the variation of the time average flux with pressure rise are discussed analytically in detail. The computational analysis has been carried out for drawing the streamline, velocity profiles, the profiles indicating the pressure rise with reference to flux etc. and profiles related to the stress are plotted for different sets of governing parameters.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Magnetohydrodynamic Three Dimensional Free Convection Couette Flow with Heat and Mass Transfer in Presence of A Heat Sink
N. Ahmed and D. P. Barua
Abstract: The problem of a three dimensional free convection Couette flow of a viscous incompressible and electrically conducting fluid in the presence of a uniform magnetic field is considered. The plates involved are vertical, the magnetic field being applied in a direction normal to the plates. The plate at rest is subjected to a transverse sinusoidal injection velocity distribution while the plate in uniform motion is subjected to a constant suction and slip boundary conditions. The analytical expressions for the velocity, temperature and species concentration fields have been obtained. The corresponding expressions for the non-dimensional skin friction components at the plates in the main flow and transverse directions, the non-dimensional rates of heat and mass transfer at the plates in terms of Nusselt number and Sherwood number respectively have been obtained and their behaviors are demonstrated graphically for different values of the parameters involved.
Key words : MHD, Free convection, Couette flow, Three dimensional flow, Viscous incompressible, electrically conducting, Heat transfer, Mass transfer, Heat sink.
2000 Mathematics Subject Classification: 76 D.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Survey of computer networking cables use in akwa ibom, cross river, imo and rivers states of Nigeria
R.C. Okoro*, A.I. Menkiti** and E.E. Williams***
Abstract: Computer networking usually is done using some media which could be cables, satellite or both. A survey is carried out using questionnaire approach to find out the major cables used for computer networking in four States of South-Eastern Nigeria. It was discovered that in Akwa Ibom State the most used cable is the optic fibre cable forming 63.7 percent; 27.6 percent and 8.7 percent are for unshielded twisted pair and coaxial cables respectively. Similarly, in Cross River State 44.7 percent use optic fibre cable and the same percent use coaxial cable while 10.7 percent use unshielded twisted pair cables. In the same vein, in Imo state the most used cable is the unshielded twisted pair cable with 57.9 percent followed by coaxial cable with 27.9 percent and optic fibre cable has only 14.2 percent. Also in Rivers State, optic fibre cable is of high use with 49.8 percent and unshielded twisted pair and coaxial cables have 41.5 and 8.7 percents respectively. It was also discovered that in areas with highly knowledgeable personnel optic fibre cables are in use.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Thermal analysis of wire-edm process by fem technique
B.J. Ranganath and A.S. Srikantappa
Abstract: EDM is gaining a significant importance in modern manufacturing activity, especially when a complicated shape is to be produced on difficult to machine materials. Wire breakage is a major problem in wire-EDM process. Wire failure in the wire-EDM process increases machining time, decreasing machining efficiency and the quality of the machined surface. This paper deals the thermal analysis of the finite element model of wire-EDM process using HCHCr steel as work, brass wire as tool and water as dielectric fluid. The heat dissipation due to forced convection and temperature and stress distribution in work material and wire tool is analysed using a mathematical model. SEM photographs and EDAX images of work and tool material in the machining process are analysed.
Key words: Wire-EDM Process, FEM, Heat dissipation, Convection
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Application of Functional Link in Neural Network
Sudhir K. Sahu and Pragnyaban Mishra
Abstract: Functional networks are a general framework, useful for solving a wide range of problems in mathematical problems, probability, statistics and engineering applications. Advantages of using neural networks to solve problems include clear visualization, powerful computation and easy to be made into hardware. In this article, we demonstrate that functional network can be use for many general purposes, in order to show how to use neural network to represent different mathematical problems and solving regression problems with strong assumption of a functional network form.
Key word : Neural networks, functional link, regression model, activation function, weight values.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
A note on slope rotatable central composite designs
B. Re. VICTORBABU
Abstract: In this paper, a new method of slope rotatable central composite designs are studied and constructed for 2 £ v £ 17 (v: the number of factors).
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Creeping flow past a swarm of porous approximate oblate spheroidal particles with kuwabara boundary condition
PRAMOD KUMAR YADAV1 and SATYA DEO2
Abstract: The solution of the problem of symmetrical creeping flow of an incompressible viscous fluid past a swarm of porous approximate oblate spheroidal particles with Kuwabara boundary condition is investigated. The Brinkman equation for the flow inside the porous region and the Stokes equation for the free-flow region in their stream functions formulations are used. As boundary conditions, continuity of velocity and surface stresses across the porous surface and Kuwabara boundary condition on the cell surface are employed. Explicit expressions are investigated for both the inside and outside flow fields to the first order in small parameter characterizing the deformation. The drag force experienced by each porous oblate spheroid in a cell is evaluated. The dependence of drag coefficient on permeability for porous oblate spheroid is presented graphically and discussed. The earlier results reported for a perfect porous sphere and for a solid oblate spheroid, are then deduced from the present analysis.
Key words: Cell model technique; Stokes flow; Gegenbauer Functions; Modified Bessel Functions, Drag force.
MSC (2000): 76D07
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
A comparative study of the exhaust emissions of a low heat rejection engine with two different levels of insulation with jatropha oil based bio diesel
M.V.S. Murali Krishna1, P.V.K. Murthy2, C.M. Vara Prasad3 and A.V. Sita Rama Raju4
Abstract: In the context of fast depletion of fossil fuels and increase of pollution levels with conventional fuels, the search for alternate fuels has become pertinent. Alcohols and vegetable oils are probable candidates to replace diesel fuels as they are renewable in nature. However, use of alcohols in internal combustion engines is limited, as the properties of alcohol fuels are not compatible with diesel fuels. Hence much emphasis is given to the non-edible vegetable oils as alternate fuels in internal combustion engines. However, the drawbacks of low volatility and high viscosity associated with non-edible vegetable oils call for hot combustion chamber, provided by low heat rejection diesel engine. The crude vegetable oils are converted into bio-diesel by the process of esterification, to reduce the molecular weight and viscosity of crude oil. The investigations are carried out on low heat rejection diesel engines which consist of different degree of insulations such as i) air gap insulated piston with superni crown, air gap insulated liner with superni insert and ii) air gap insulated piston with superni crown, air gap insulated liner with superni insert and ceramic coated cylinder head with esterified jatropha oil (bio-diesel) with varied injection pressures. Pollution levels decreased with high degree of insulation with vegetable oil in comparison with conventional engine with pure diesel operation.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Graceful Number of a Non-Graceful Graph
S. Manikandan1 and R. Sattanathan2
Abstract: Graceful number of graph is an optimization parameter which is introduced for any non-graceful graph.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
MHD forced convection in horizontal porous channel with hydrodynamic anisotropy
*A. Jyothi Bala and **S. Vijaya Kumar Varma
Abstract: This paper presents an exact solution for fully developing forced convective flow of conduction fluid in a horizontal parallel plate porous channel with an anisotropic permeability whose principal axes are oriented in a direction that is oblique to the gravity vector. A constant heat flux is applied on the channel side walls. A uniform transverse magnetic field is applied perpendicular to the plates. Expressions for velocity, temperature, average wall friction, pressure variations and Nusselt number for the two cases the high porosity and the low porosity medium are obtained. The effects of anisotropic permeabilities K*, f Darcy number Da, Reynolds number Re and the magnetic parameter M on the above flow quantities are studied numerically through graphs and tables.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Fixed points for an admissible class of asymptotically regular mappings in Banach space with uniformly normal structure
G.S. Saluja and B.P. Tripathi
Abstract: In this paper, we have proved an existence result in a Banach space which has uniformly normal structure for asymptotically regular mapping T satisfying the following condition: for each x,y in the domain and for n = 1,2,…
where, and are non-negative constants satisfying certain conditions. This result improves and extends the result of Casini and Maluta5, Gornicki9 and others and generalize the result of Lim and Xu 11.
2000 Mathematics Subject Ciassification No.: 47H10, 46B20.
Key words: Asymptotic regularity, fixed point, uniformly normal stucture.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Asymptotic percentage points for testing homogeneity of covariance matrices of completely symmetric Gaussian models in the complex case
VIPIN TAYAL
Abstract: In this paper asymptotic null distribution of the likelihood ratio test criterion for testing homogeneity of covariance matrices of completely symmetric Gaussian models in the complex case is obtained in terms of chi-squared random variables using logarithmic expansion for the gamma function. The asymptotic percentage points are also computed, by using Hill and Davis expansion,for several values of the parameters.
Keywords and Phrases: Gaussian model, null moments, logarithmic gamma function, asymptotic distribution, chi-square variable, percentage points).
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Steady State Analysis of Phytoplankton and Zooplankton in Spatio-temporal Domain
Joydip Dhar and Anuj Kumar2
Abstract: A spatio-temporal model of phytoplankton and zooplankton is proposed as very little attention was given for the spatial distribution of plankton popula- tion by previous researcher. Since the plankton populations are not static and uniformly distributed over a region. Therefore, the study of existence, coex- istence and stability analysis makes sense in spatio-temporal domain. In this paper we have studied the existence of linear and nonlinear stability conditions for the uniform as well as non-uniform steady state system using Lyaponov direct method and variational matrix mehod. Moreover it is observed that the diffusion process enhances the stability of the plankton system.
Key words : Plankton populations, Spatio-temporal model, steady state, stability analysis.
AMS Classification: 92, 92A
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Minimizing Total Rental Cost Without Altering Total Elapsed Time In 3- Stage Flow Shop Including Transportation Time
T.P. Singh and Indira Vij
Abstract: The paper studies specific type of three stage flow shop scheduling which includes transportation time. For a given sequence, we have made an attempt to obtain the latest times at which the machines should be taken on rent so that total rental cost is minimized without altering the total elapsed time. The related theorems have been proved by simple logic and mathematical induction technique. An algorithm has been derived considering all parameters and constraints in account. The numerical example is given to demonstrate the algorithm.
Key words : Rental cost, Elapsed time, Transportation time, Flow shop etc.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Using Newton method to gain the optimize l values for the transformation Wan Muhamad Amir W Ahmad1, Nyi Nyi Naing2,
Tengku Mohd. Ariff Raja Hussein3 and Mustafa Mamat4
Abstract: Application is an important part of statistical analysis. Its play a major role in making inference and conclusion of an important finding in a research. A part of important application is transformation and until now, most of the researchers from others discipline using the transformation method that is introduced by Dr. George Edward Pelham Box and Dr. David Roxbee Cox in 1964 to transform the data to achieve normality assumption. This increase the applicability and usefulness of statistical techniques based on the normality assumption. This famous method is called as "Box-Cox Transformation". In Box-Cox transformation method, they transform data if the values of the data are positive with using the certain values of l. Before the process of transformation, we have to know the value of the parameter l because the values of parameter l indicate the kind of transformation needed. In this paper we will illustrate the application of modification for parameter l (improvement) in transformation by using MAPLE and MINITAB software. This study is done based on the data that has been collected from unit of records Hospital Universiti Sains Malaysia (HUSM).
Key words: Box-Cox transformation, Parameter l and Modification formula.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
An inventory model for deteriorating items with exponential demand rate and shortages
Sudhir K. Sahu1 and Pravat K. Sukla2
Abstract: In this paper an attempt has been made to incorporate the deterioration effect assuming the demand rate to be a exponential function of time and shortages which are completely backlogged, for infinite time horizon and suitable example has been illustrate the result derived.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Special study in distance coloring for prism type of graphs
K. Thiagarajan1, S. Kathirmani2 and B. Harish3
Abstract: In this paper we define (i, j) - Distance Coloring for the connected graph G. We get after studying the (1,2) - Distance graphs for prism type of graphs, we observe new results under (1,2) - Distance coloring scheme for prism type of graphs.
Key words: (1,2) - Distance Graph, (1,2) - Distance Coloring, Bi-partite
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
On balance and clusters in graph structures
M.S. Subramanya1 and P. Siva Kota Reddy2
Abstract: A graph structure graph G=(V, R1, R2,….,Rk) consists of a non-empty set V together with k relations, k ³ 2 R1, R2,….,Rk on V which are mutually disjoint such that each Ri, 1 £ i £ k, is symmetric and irreflexive. In this paper we extend the notions of balance and clusters in signed graphs to Graph structures.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Some results on fuzzy normal subgroups
Manoranjan Kumar Singh1 and Krishna Achrya2
Abstract: Fuzzy subset theory was initiated by Zadeh in 1965. A.
Rosenfeld used this concept to develop the theory of fuzzy groups. Several basic properties of group theory are found to be carried over to fuzzy groups. Fuzzy groups were also studied by Singh4,5,6. The purpose of this paper is to introduce the notion of fuzzy normal subgroup.Moreover our aim in this paper is to show that several properties of normal subgroup can be extended in an elementary manner to develop the theory of fuzzy normal subgroups.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Mass Transfer Effects on Free Convective MHD Flow of a Viscous Fluid bounded by an Oscillating Porous Plate in the Slip Flow Regime with Heat Source
S. S. Das, 1R. K. Tripathy, 2S. K. Sahoo and 3B. K. Dash
Abstract: This paper considers the effect of mass transfer on the free convective flow of a viscous incompressible electrically conducting fluid through a porous medium bounded by an oscillating porous plate in the slip flow regime with heat source in presence of a transverse magnetic field. The governing equations of the flow field are solved analytically and the expressions for velocity and temperature of the flow field, skin friction (t) and the heat flux in terms of Nusselts number (Nu) are obtained. The effects of the pertinent parameters such as magnetic parameter (M), porosity parameter (Kp), Grashof number for heat and mass transfer (Gr, Gc), Schmidt number (Sc), heat source parameter (S) and the Prandtl number (Pr) on the flow field are discussed with the help of figures.
Key words: MHD flow, mass transfer, free convection, porous medium, oscillating plate, slip flow, heat source.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
An annular disc under torsion in an elastic layer bounded to an elastic layer
M. Lal and I.K. Gautam*
Abstract: The present paper deals with the torsion by an annular disc for an elastic layer bounded to an elastic layer. The problem is reduced into triple integral equations, which are further reduced to the solution of a Fredholm integral equation of the first kind. By using iterative method, the expression tor a simple rotation of the disc through a small angle have been derived. Also, the expressions for the required torque to rotate the disc through an angle f have been derived.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
MHD unsteady free convection flow past a vertical porous plate with viscous dissipation
A. NEERAJA and N. BHASKAR REDDY
Abstract: An unsteady free convective flow of an incompressible, viscous, electrically conducting and dissipative fluid through a porous medium bounded by an infinite vertical plate whose temperature oscillates with time about a constant non-zero mean value is investigated. The equations of continuity, linear momentum and energy, which govern the flow and heat transfer are solved analytically using a regular perturbation technique. Expressions for the velocity, temperature, skin-friction and the rate of heat transfer coefficient are obtained and their behaviour has been discussed computationally for variations in the governing parameters.
Key words: Free convection, Hydromagnetic, Porous plate, Viscous dissipation.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
On A Subclass of Certain Analytic functions with positive Coefficients
K.K. Dixit and Pradeep Pandey
Abstract: By making use of the wellknown Sãlãgean derivatives the authors introduce and study a certain subclass Vk (n, m, b) of normalized analytic functions with positive coefficients. In addition to find a necessary and sufficient (and sharp) condition for a function to belong to the class Vk (n, m, b), a number of other useful and interesting properties and characteristics of functions in this class are investigated. An interesting results for the Hadamard product of functions belonging to this class are also considered. Infact the results in this paper provide generalization of these given by Uralegaddi. Ganigi and Sarangi5. Finally, several applications involving some fractional calculus operators are also investigated.
Key words: Analytic; Sãlãgean operator, Hadamard product; Univalent.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Fixed points of nonexpansive mappings on nonconvex sets in metric spaces
T.D. Narang* and Sumit Chandok**
Abstract: In this paper a result is proved on the existence of fixed points of nonexpansive mappings on a certain class of nonconvex sets in metric spaces. This work extends the previous work of W.G. Dotson1,2, M.D. Guay, K.L. Singh and J.H.M. Whitfied3, L.F. Guseman, Jr. and B.C. Peters, Jr.4, M.A. Al-Thagafi7 and others.
Key words: Non-expansive mapping, contractive family, starshaprd space, M-starshaped space and strictly monotone metric.
AMS Subject Classification (2000) : Primary 47H10, Secondary 54H25.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Nomatically Cocritical Graphs
S. Ghobadi, N. D. Soner and K. M. Yogeesha
Abstract: A graph G is said to be nomatically cocritical if h(G + u v) > h(G), for any two nonadjacent vertices u,v in G where h(G) denotes the nomatic number of G. In this paper we introduce the concept of nomatically cocritical graph and prove that, there exists a nomatically cocritical graph G such that the number of edges in complement of G is equal to p-h. We also obtain some other new results.
2000 Mathematics Subject Classification : 05C70
Key words : Neighborhood, nomatic partition, nomatically cocritical griphs.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Combined convection flow through a porous medium in a vertical channel with viscous dissipation
A. NEERAJA and N. BHASKAR REDDY
Abstract: A steady convection flow of a viscous incompressible fluid through a porous medium in a parallel vertical channel is considered. The mass, momentum and energy equations which govern the flow field are solved by using a perturbation technique. The expressions for the velocity, temperature, skin-friction and the rate of heat transfer coefficient are obtained and their behaviour has been discussed computationally for variations in the governing parameters viz., the Grashof number G, the Reynolds number R, the Darcy parameter s1 and the Eckert number E.
Key words: Combined convection, Porous media, Viscous dissipation, Darcy dissiaption.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Steady laminar flow of a non-Newtonian fluid between parallel porous discs
ALOk DAS and ALIUL HAQUE
Abstract: The steady laminar flow of a visco-elastic fluid between two parallel porous discs when upper disc is rotating moderately and the fluid is injected at uniform rate through both the discs, has been investigated analytically. The governing equations have been solved by perturbation method, taking cross flow Revnolds number as perturbation parameter. The analytical expressions for radial and tranverse, velocity components have been obtained and these results have been numerically worked out for different values of parameters involved in the solution. The expression of pressure coefficent and skin-friction coefficient at the lower disc has been obtained, discussed numerically and presented graphically for various visco-elastic parameters.
Key words: Steady laminar flow, Visco-elastic, Rotational parameter, Skin-friction, Cross-flow Reynolds number.
2000 AMS Mathematics Subject Classification: 76A05, 76A10
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
On the degree of approximation to a function belonging to a certain Banach space by Nörlund means of its Fourier series
V. N. Tripathi and Abhay Kumar Pandey
Abstract: In the present paper the authors have discussed the degree of approximation to a function belonging to a certain Banach space by Nörlund means of its Fourier Laguerre series which generalizes the result due to Yadav4 in this direction by (C,k) means, k > -1.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Bianchi type V non-static barotropic perfect fluid cosmological model in general relativity
Raj Bali* and Rajni Gupta**
Abstract: Bianchi Type V non-static barotropic perfect fluid cosmological model in General Relativity, is investigated. To get the deterministic model, we have assumed that () is proportional to the expantion (q), where is the eigen-value of shear tensor (). The stiff fluid model and disordered radiation model are discussed. The physical and geometrical aspects of the model together with singularities in the model are also discussed.
Key words: Bianchi V, barotropic, perfect fluid, non-static.
PACS Nos. 04.20.-q, 98.80.Cq
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Common Fixed Point Theorems For Nearly Densifying Mappings
Rizwana Jamal
Abstract: In this paper we obtain some common fixed-point theorems of Jungek1 for nearly densifying mappings on complete metric space. We have generalized the concept of densifying mapping introduced & studied by furi and vignoli2.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
A Certain Class of Univalent Functions with Positive Coefficients
K.K. Dixit and Vikas Chandra
Abstract: The authors derive various properties and characteristics of the new class Plg(b) of analytic and univalent functions with positive coefficients in which second coefficient is fixed. Motivated by the work of Dixit and Pathak5, several interesting results have been investigated.
Key words : Analytic functions, Univalent functions, Starlike functions, Convex functions, Fractional derivative and Fractional Integral.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Cohomology of generalized group algebras
Nilakshi Goswami
Abstract: Let G be a locally compact group and A, a Banach algebra. Using the concept of projective tensor product, we give a characterization of amenability for the generalized group algebra L1(G, A). If G1 and G2 are two locally compact groups, then amenability in the projective tensor product L1(G1) Äg L1(G2) is also discussed here with some interesting applications.
Key words: Tensor product of Banach algebras/ Cross norm/ Group algebra/ Amenability/ Approximate identity
AMS subject Classification (2000): Primary section: 46M05,Secondary section: 43A20, 46B28.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Certain triple integral equations involving legendre functions as kernels
Sudhir Singh*
Abstract: In this paper we have considered the solution of certain triple integral equations with Legendre function as kernels by using the properties of generalized Legendre functions and inversion theorem for the generalized Mehler-Focktranform.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
A Normality Study Of The Effectiveness Of Different Values Of l
WAN MUHAMAD AMIR W AHMAD1, NYI NYI NAING2 and TENGKU MOHAMAD ARIFF RAJA HUSSEIN3
Abstract: Data transformation is carried in order to transform the data and assure that it has a normal distribution (a remedy for outliers, failures of normality, linearity and homoscedasticity; this is usually done to prepare the data for regression analysis, as this analysis assumes the data is linear, normal and homoscedastic). This is also known as transformation to linearity. A good indicator of data having a normal distribution is skewness in the range of -0.8 to 0.8 and kurtosis in range of -3.0 to 3.0. One way to determine the effectiveness of a function is by comparison method. These comparisons always give us the information as such the goodness of the fits, goodness of the line in plotting graph and much more. The improvement for normality can be seen from the plotting the graph with different values of l. In this paperwork, we applied the data with the modifying formula in order to check the effectiveness of transformation based on different given l. Key words : Box-Cox transformation, Parameter and Modification formula.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Combinatorial interpretation of some identities of the Rogers-Ramanujan Type-1
P. Rajkhowa1 and Shaikh Fokor Uddin Ali Ahmed2
Abstract: In this paper we give the combinatorial interpretation of a few analytical Rogers­Ramanujan Type Identities.
Key words: Partitions, Combinatorial interpretation, Rogers-Ramanujan Type Identities.
AMS Classification code: 11P,5A,B.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Axially symmetric quasi-stationary thermoelastic problem for an infinite plane with a semi-infinite cut
M. LaL and I.K. Gautam
Abstract: The present paper deals with the axially symmetric quasi­stationary thermoelastic effects in an infinite plane with a semi-infinite cut. It is assumed that the temperature arises instantaneously on the part of a plane with a semi-infinite cut. The thermoelastic problem reduced into dual integral equations and these equations are solved by using Laplace - Carson transform technique. Finally the expressions for stress intensity factor has been derived for the semi-infinite cut.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Common fixed point theorem in probabilistic 2-metric space through compatibility
Bijendra Singh*, M.S. Chauhan** and Rajendra Gujetiya***
*S.S. in Mathematics Vikram, University, Ujjain M.P. (India)
Abstract: In this paper we prove a common fixed point theorem for four self maps on probabilistic 2-metric space using the concept of semi-compatibility.
Key words : Common fixed point, probabilistic 2-metric space semi-compatible; weak compatible maps.
AMS Subject Classification (2000) : Primary 47H10, Secondary 54H25.
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
On Quaternions and function spaces
Pralahad S.M. and Shabbir Ahmed
Abstract: Minkowski's inequality for quaternion vector and function spaces Lp and quaternion function space Lp (0,1). p>1 have been considered for its equality. We showed that the present results will be valid for Arnald's. R and Dugunge
J. 1. Engelkins. R.3 and Shabbir A.5.
Key words : Quaternions, Funcationalspaces, Quaternion vectors, inequality
Subject Classification : AMS 507 MR
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Finite n-Isoform lattices
*E.K.R.Nagarajan and **R. Rathajayalakshmi
Abstract: A lattice L is n-Isoform if for any congruence q ¹ w,i any two congruence classes A and B of q are isomorphic and are of size n. That is A @B and |A| = |B| = n. In this paper, we observe that B2 is 2 - Isoform and we prove that for every n > 3 there exists a finite n-Isoform lattice.
Key words : Congruence, Congruence Lattice, Isoform Congruence, n- Isoform Congruence, n-Isoform lattice.
Mathematics Subject Classification: Primary : 06B10, Secondary :06D05.

-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Home