Abstract of Volume 17 (3M) 2005
Representing
Pgl2(q) on a Riemann surface of least genus
Kuntala
Patra1 and Hiramala Talukdar2
Abstract: This paper deals with the problem of finding minimum genus of
the surface on which a given finite group acts as a group of automorphisms. In
this paper we consider the Projective general linear groups PGL2(p) and
PGL2(p2), p an odd prime and obtain the minimum genus of the compact Riemann
surfaces admitting PGL2(p) and PGL2(p2) as their group of automorphisms.
Approaches for
uncertainty management in information systems: an overview
Karan Singh1,
S.S. Thakur2 and Devraj3
Abstract: We studied a simple and general model of information systems,
and use this model to classify the various kinds of uncertainty in information
systems into two major categories: uncertainty in descriptions of the real world
and uncertainty in manipulations of descriptions. We surveyed briefly several
approaches that have been developed for dealing with these kinds of uncertainty,
and we speculate on the reasons that information systems have been slow to
incorporate such uncertainty capabilities. The paper deals with basic issues
regarding the measurement of relevant types of uncertainty and uncertainty-based
information in theories that represent imprecise information of various types.
Finally, we stressed that relevant research in the area of databases may be
applicable to information systems, after it is adapted to address the specific
concerns and constraints.
Image
compression using 2-D autoregressive model
R.
Krishnamoorthi and K. Seetharaman*
Abstract: In this paper, we propose a 2-D autoregressive model for image
compression, where images are assumed to be Gaussian Markov Random Field (GMRF).
The parameters of the model are estimated by employing the Metropolis-Hastings
algorithm based on Bayesian approach. We use arithmetic coding to store seed
values and parameters of the model as it gives furthermore compression. Both
textured and untextured images are used for experimentation to illustrate the
efficiency of the proposed model.
Key words: Image compression, Stochastic process, Auto regressive Model,
Metropolis-Hastings Algorithm, Seed values.
Heat transfer through three-dimensional couette flow between a stationary porous
plate bounded by porous medium and a moving porous plate
P.R. Sharma
and G.R. Yadav*
Abstract: Heat transfer through three dimensional couette flow of a
viscous incompressible fluid through a stationary porous plate bounded by a
porous medium and a porous plate moving with uniform motion is investigated. The
fluid is injected with sinusoidal velocity through lower plate and sucked with
constant velocity through upper moving porous plate. The paper is divided into
two sections, taking lower plate isothermal in section-A and lower plate is an
adiabatic in section-B. The governing equations of motion and energy with
dissipation function are solved by using the regular perturbation and separation
of variable techniques. The expressions of temperature distributions are derived
in both the sections and shown through graphs. In section-A, the rate of
heat transfer in terms of the Nusselt number at the lower plate and upper plate
are derived and discussed numerically and their numerical values for various
values of physical parameters are presented through Table-1. In section-B, the
expressions of recovery factor at lower plate and Nusselt number at upper plate
are derived and discussed numerically and their numerical values for various
values of physical parameters are presented through Table-2.
Key words : Couette flow, isothermal, adiabatic, sinusoidal,
Injection/suction, porous medium, Nusselt number, recovery factor.
Gestation Period and its Correlates
K.
Senthamarai Kannan#, D. Nagarajan* and T. Tamizh Chelvam#
Abstract: During the past three decades the gestation period or the
infecundable period of pregnancy, measured from the date of conception to the
date of termination of pregnancy by live birth, has received much attention
among the researchers including Biswas1, Srinivasan (1998) and Senthamaraikannan
et al.3. The gestation period is considered as one of the components in
analysing birth intervals in human reproduction process. The aim of this paper
is to study the gestation period with respect to the socio-ecological and
demographic variables.
Key words: Infecundability, Socio-ecological, Demographic variables.
Stability analysis of a community having stage-structured prey, predator with
infected prey
Manju Agarwal
and Maneesha Behari Nigam*
Abstract: A stage structured prey, predator model with a infected prey is
developed using a state dependent time. The prey population is being structured
according to the two stages of life, immature and mature. The infection in prey
is also been considered .The criteria for existence and uniqueness of the
multiple positive equilibria are given. The stability of the equilibria are
discussed and it is shown that there exists a globally asymptotically stable
positive equilibrium in the absence of delay. The effect of delay on the
stability of the system is also discussed. It is shown that if the length of
delay increases, the stability will be violated and Hopfbifurcation may occur,
of small amplitudes.
Key words : Stage structure, equilibrium, stability, region of
attraction, bifurcation.
-type and
-type plane waves in four dimensional space-time
Kadhao S. R.
and Thengane K. D.*
Abstract: In the paper1, we have obtained the plane wave solutions of the
field equations Rij=0 in V4. In the present paper, we have studied these
solutions in detail for -type and -type plane waves and results are found as
and , .
Frequent
Pattern Mining: Opportunities and Challenges
R.S. Thakur*
and R.C. Jain**
Abstract: Mining frequent patterns from large databases play an essential
role in many data mining tasks and have broad application. There are many
methods available for mining frequents patterns from large databases; most of
them adopt Apriori-like candidate-generation-and-test approach. Some of
algorithm adopts a divide-and-conquer approach. In this work, we studied such
type of algorithms, and find their serious challenges. These challenges provide
new opportunities to researches for future work to generate efficient and
minimum database scan algorithms.
A
Study on Orthographs
E.K.R.
Nagarajan and M.S. Mutharasu
Abstract: In this paper, we introduce a lattice theoretic approach to the
study of Graphs and we classify the graphs as orthographs, orthomodular graphs,
modular orthographs and Boolean graphs. We prove G is a complete bipartite graph
if, and only if, L(G ) is the Boolean algebra B2. We also prove that a path Pn
with
n ³ 4 vertices and a cycle Cn with n ³ 5 vertices are orthographs. All star tree
graphs are Boolean graphs and all non-star tree graphs are orthographs.
Key words: ortho graphs, ortho modular graphs, modular ortho graphs and
Boolean graphs.
Generrating measures of fuzzy entropy through fuzzy directed divergence
Om Parkash
and C.P. Gandhi*
Abstract: Some relationships between fuzzy entropy and fuzzy divergence
have been established and using the idea of distance function, many new measures
of fuzzy entropy have been developed through the measures of fuzzy directed
divergence.
MHD Free
Convection Flow of Kuvshiniki type Visco-elastic Fluid along a Vertically Moving
Porous Plate with Uniform Heat and Mass Flux in Porous Media
Renu Parihar
and S.S. Tak
Abstract: An analysis of unsteady two dimensional free convection flow
and mass transfer of a visco-elastic (Kuvshiniki type) fluid through a porous
medium bounded by a vertically moving infinite vertical plane surface with
constant suction and constant heat and mass flux in presence of a uniform
magnetic field is presented. It is assumed that the vertical plate moves upward
in its own plane with a decreasing velocity. The plate velocity is represented
by a steady part and a superimposed unsteady part, which decreases exponentially
with time. The case of plate at rest and the case of plate moving with uniform
velocity are particular cases of the present problem. The effect of various
parameters entering in to the problem, on velocity, temperature and
concentration fields and on skinfriction is discussed in detail.
Key words : Free Convection, Conducting Visco-elastic Fluid, Porous
Medium, Diffusing Species.
Flow of a
thermoviscous fluid in a radially non-symmetric constricted tube
S. Srinivas
and R. Muthuraja
Abstract: An approximate solution for the problem of fluid flow through a
rigid tube with a mild constriction is given. It is assumed that the fluid is
thermo viscous and constriction is non-symmetric with respect to the radial
distance. Analytical solutions for velocity and temperature field have been
obtained. The effect of various parameters entering into the problem is
discussed with the help of graphs.
Key words: Constricted tube, thermo viscous fluid, flow rate, Nusselt number.
Estimation of
Asymptotic Limit and Threshold Limit for the Expenditure
Smita Verma,
Paheli Bansal and Sufia Aziz
Abstract: This paper highlights the threshold limit and asymptotic limit
for each of the five basic commodities, which are: cooking gas, food ration,
petrol, electricity and communication media. With the help of given data income
elasticities for these five basic commodities are calculated.
This paper also highlights on economic aspects i.e., the threshold limit up to
which any particular level of income group people can purchase.
Migration of parents and their children dropping out of schools-a fuzzy approach
W.B. Vasantha
Kandasamy, T. Pathinathan and Mary John*
Abstract: Though today’s children are considered to be tomorrow’s leaders
of new and modern India, nothing is done to take care of the children who drop
out of school for various reasons. There are many reasons as the stack holders
in this case are children, parents and the government. We are not in a position
to put the blame on the parents alone as they are in a way are selfish and
unconcerned about their children’s education. Most of the parents from very poor
sections of the society are more worried about their day to day living and they
do not even mind stopping the children from school if they can earn some daily
wages.
Generalization of Common Fixed Point Theorems of Naimpally and Singh
Shoyeb Ali
Sayyed and V.H. Badshah
Abstract: Ciric1 introduced the notion of generalized contraction mapping
and proved fixed point theorems. Hicks and Kubicek3, Rhoades5,6, Singh8,9, have
been shown that for mapping T satisfying certain contractive condition, if the
sequence of Mann iterates converges it converges to a fixed point of T. In this
paper it is shown that for mappings T1 and T2 satisfying condition (7), if the
sequence of Ishiksawa iterates converges, it converges to common fixed point of
T1 and T2.
Key words and Phrases : Hilbert Space, Contraction mappings, Common fixed
point.
AMS (2000) Subject Classifications : Primary 47H10 Secondary 54H25
The existence
of the periodic solution and first order perturbation with contribution of
kaplerian's rectilinear periodic motion
A.K.
CHOUDHARY and A.K. SHARMA*
Abstract: In this paper we have calculated the first order perturbation
by considering the possibility of double collision with the larger mass.
Newton's interpolation formulas
N.A. Sheikh
Abstract: The main aim of this note is to give the details about the
various interpolation formulas used in Numerical analysis in a simplified manner
without lengthy calculations. The interpolation formulas of Newton have been
obtained directly using divided difference formulas.
Simulating MPMDs on Sequential Environments
1Moses E.
Ekpenyong, 2Dr. Souley Boukari and 3Prof. E.J.A. Edemenang+
Abstract: This paper simulates the behaviour of Multi-Program Multi-Data
(MPMD) on sequential machines. The designed MPMD processes three
independent programs executing different tasks/functions (Matrix Multiplication,
Sorting and Summation of the square roots of squares) using java threads. The
performance of this model is compared with a sequential or non-paralleled
version. Results obtained reveal that the simulated MPMD model was faster than
its sequential version by 80ms.
Key words: Asynchronous, Simulation, Multitasking, Sub-problems, Threads.
Exponential Methods for Convex Function Under Linear Constraints
Ismail bin
Mohd1 and Parwadi Moengin2
Abstract: The barrier and penalty functions methods are one of the
Lagrangian multiplier method for solving both constrained nonlinear equation and
optimisation problems. In this paper, we introduce a new method called
exponential (barrier and penalty) method to solve optimisation problem on convex
function under linear constraints. It presents some variety of the method. The
global behavior of this method will be given. Theorems for the method are also
given in this paper.
Key word: convex function, exponential method, barrier and penalty.
Heat Transfer to Pulsatile Hydromagnetic flow of a Viscoelastic fluid
T. MALATHY
and S. SRINIVAS
Abstract: Captivated by the problem of flow in channels, an investigation
is made on the influence of magnetic field on the rate of heat transfer to
pulsatile hydromagnetic flow of a viscoelastic fluid. The influence of various
pertinent parameters on velocity and temperature distribution has been studied
and numerical results obtained are presented graphically.
Bitransformation of bivector spaces
W.B. Vasantha
Kandasamy and K. Ilanthenral*
Abstract: In this paper we for the first introduce linear
bitransformation of bivector spaces which results in associated bimatrices
analogous to linear transformation associated with matrices. We assume
throughout V = V1 È V2 is only a finite dimensional bivector space.
Generalized Strongly Nonlinear Quasivariational Inequalities And Related
Complementarity Problem
Ragvendra
Singh Chandel1, M.S. Rathore2 and Ravindra Parsai3
Abstract: In this paper we develop the algorithm for finding the
approximate solution of a general strongly nonlinear quasivariational inequality
and a strongly nonlinear quasicomplementarity problem. Our results include as
special cases several known results in this area.
Some results on fixes points in pseudo compact Tichonov space
Rizwana Jamal
and P.K. Mathur
Abstract: In the present paper, the results of Ciric3, Bohare2, and
Chaurasia1 have been extended to a more general case in Pseuduocompact Tichonov
space for pair of mapping. For related results we refer to Fisher4 and
Harinath6.