Abstract
of Volume 19(3M), 2007
A study about birth intervals on regression models
D. Nagarajan*, G. Easwara Prasad# and M. Musthafa Ibrahim*
Abstract : Several studies have indicated that the maternal factor prior to
pregnancy, during pregnancy and during early neonation
pregnancy. Further the clinical course
of pregnancy and childbirth depends on combined effect of genetic and
environmental factors. In this paper attempts to develop a prediction model
to identify the risk of the mothers. Based on the above factors, which are likely to produce low weight
birth babies. Data was obtained
from 500 single born live birth babies along with their primiparous
mothers without any systematic
diseases with the age group between 19 and
45 years, which constitutes the material study.
"Some theorems on fixed point in two-L spaces"
Mamta Awasthy
Abstract : Some related fixed point
theorems of Two L-Spaces are obtained.
Key words : Fixed point,Complete L-Spaces.
A
Mathematical model for population growth of hemiptera
under starvation
Rajan Kumar Sharma and Vindhyachal
Lal
Abstract : In the present paper, The population growth of hemiptera
like aphides and mazus percisae
is discussed. Hemiptera discharges a type of lethal
mucilaginous material called saliva that smeared over the surface of the leaf
preventing the individuals from further sucking and movements and so causing
deaths due to starvation. Integro-differential
equation of growth is studied assuming linear dependence between mortality rate
and the integral density n (s) ds, the area covered by saliva at time t.
Key Words : Population, hemiptera, starvation,
mortality.
Isomorphical 0-1 labeling for network characterization
Ponnammal Natarajan1, K. Thiagarajan2,
Abstract
: In this paper we
deal with iteration of links with nodes in combinations with Binary digit
labeling thereby observing the isomorphism of 2 different network topology one
of which having a cycle network. This method helps to access a given network,
under set of constraints, hence having traffic growth with regards to network
characterization, without having to consider the extension to the general case
with more than one interior or exterior nodes.
Key words : Network utilization, Network capacity, Traffic in, and Traffic out
Determination
optimal reserve inventory between two machines in series using order statistics
P.S. Sehik Uduman*, A. Sulaiman**,
R. Sathiyamoorthy***
Abstract : Inventory systems may be under the category of parallel systems, or
series systems. A
system in which two machines M1 and M2, which are
in series is considered. The output of M1
happens to be the raw material for M2. The shortage cost arises due to the idle time
of M2 caused by a breakdown of M1. Hence a reserve in between M1 and M2 is cost
effective. The optimal size of the
reserve inventory in between M1 and M2 considering the interarrival times between the successive breakdowns of M1
as i.i.d random variables has been considered by some
authors. In this paper an expression for
the optimal reserve inventory is obtained taking the interarrival
times as order statistics. Numerical Illustrations are provided.
Key words : Series system, Optimal reserve, Order statistics
A
regular perturbation method for Fisher-kolmogorov type pdes
R. Rangarajan and Chandrali baishya,
Abstract : is a well known equation by name, Fisher-Kolmogorov
equation in the literature. It is one of the standard models used in population
dynamics. The term u(1-u)
is the reaction term with logistic distribution. In the present paper, we have
worked out a perturbation series solution for models which resembles Fisher-Kolmogorov equation.
Key
word:
Reaction-Diffusion equation, Perturbation series solution, Fisher-Kolmogorov equation.
2000
AMS Classification No: 58F07, 33D35.
Unsteady
flow of a non-Newtonian fluid past along a rotating porous disk
U. K. Tripathy1, A. Kalam1
and R. Dash2
Abstract : An approximate analysis of the unsteady flow of a non- Newtonian fluid
along a rotating porous disk has been carried out. The suction velocity on the
wall of the disk is assumed to be time dependent and assuming the rigid body
rotation, the equation of motion has been formulated. This equation is solved
by the method of Kelley using Fourier series analysis. It is noticed that the
velocity components are affected by the terms of order 2
and not
by the term of order . It is also noted that the flow field is considerably
influenced by the non-Newtonian parameter. The effects of other parameters over
flow field have been depicted through graphs.
How
to Determine the Sample Size
WAN
MUHAMAD AMIR W AHMAD1 , NYI NYI NAING2 and MOHD. TENGKU ARIFF RAJA HUSSEIN3
Abstract : Determining sample size is a very important issue because samples that
are too large may waste time, resources and money, while samples that are too
small may lead to inaccurate results. The sample size is very simply the size
of the sample. If there is only one sample, the letter "N" is
used to designate the sample size. If samples are taken from each of
"a" populations, then the small letter "n" is used
to designate size of the sample from each population. When there are samples
from more than one population, N is used to indicate the total number of
subjects sampled. If the sample sizes from the various populations are
different, then would indicate the
sample size from the first population, n2 from the second, etc. The total number
of subjects sampled would still be indicated by N. In this paper, we
will illustrate how to determine the sample size for an experiment in a study.
Key words : Sample size, population mean and proportion mean.
The
immunization and nutritional status among children aged under
five in a major District in
R.
ELANGOVAN* and M. SHANMUGHAM1
Abstract : Children in rural areas in
Key words : Immunization Status, Nutritional Status.
Some Algebraic curves in Public key cryptosystems
A. Chandra Sekhar1, K.R. Sudha2 and Prasad Reddy P.V.G.D.3
Abstract : Cryptography falls under the umbrella of Cryptology, the
science of making and breaking secret communications. Information security
manifests itself in many ways according to the situation and requirements.
Regardless of who is involved, to one degree or another, all parties to a
transaction must have confidence that certain objectives associated with
information security have been met. This paper provides the main trends and
process of asymmetric key cryptosystems, Public Key Cryptosystems (PKC) using
Algebraic Curve Cryptosystems (ACC).
Key words : public key
cryptosystems, algebraic curve cryptosystems.
Solution of problem arising during vertical groundwater recharge
by spreading in slightly saturated porous media
*M.N. Mehta and Saroj R. Yadav
Abstract : An approximate solution for problem of vertical
groundwater in slightly saturated porous media has been obtained by using the
small parameter method. The soil water diffusivity coefficient is assumed to be
directly proportional to moisture content and aqueous conductivity is
considered directly proportional
to moisture content, depth and inversely proportional to
time.
Key words: Groundwater, Small parameter, Moisture content.
Appraisal of Least Absolute Value Analysis of Variance
R. Elangovan, V. Ramachandran* and
Abstract : In linear model analysis, a wide variety of statistical
tools are applied to obtain valid inferences. The prime among them is the
Key words :
The Cayley transform and the unit cycle
in elliptic and hyperbolic cases
Debapriya Biswas
Abstract : In this paper, the Cayley transform and the
unit cycle in the elliptic and hyperbolic (EH) cases have been studied. We
first study the Cayley transform for the elliptic and
hyperbolic cases. We give a result that for both elliptic and hyperbolic cases
the "real" axis u is transformed to the unit cycle but only the upper
half plane in the elliptic case, is transformed to the
unit disk. We have also defined the elliptic and hyperbolic alternative Cayley transforms.
Key
words and phrases:
Cayley transform, EH cases, Clifford algebras, unit cycle,
Möbius transformation.
2000 Mathematics Subject Classification. Primary 30G35;
Secondary 22E46.
Three Dimensional Free Convective MHD Flow and Mass Transfer
through a Porous Medium with Periodic Permeability and Heat Flux
1S.S. Das, 2S.R.
Biswal, 2J.K. Das and 3J.P. Panda
Abstract : This paper considers
the three dimensional free convective MHD flow and mass transfer through a
porous medium with periodic permeability and heat flux. Here we study the
effect of periodic permeability and mass transfer on free convective MHD flow
of a viscous incompressible fluid through a highly porous medium bounded by an
infinite vertical porous plate. Assuming the free stream velocity to be
uniform, approximate solutions are obtained for the velocity field, the
temperature field, concentration distribution, the skin friction and the rate
of heat transfer. The effects of the flow parameters on the flow field are
studied with the help of figures.
Key words: MHD, free convection, mass transfer, porous, periodic
permeability, heat flux.
On a D-conformal transformation in an sp-sasakian
manifold
Kalpana and Priti
Srivastava
Abstract : In the present paper we have established some invariants
of a D-conformal transformation of a semi-symmetric metric connexion
in an SP-Sasakian manifold.
Steady free convective mhd
flow and heat transfer through a porous medium bounded by a uniformly moving
porous vertical plate
S. Ahmed
Abstract
: The
effects of permeability of porous medium on the two dimensional steady laminar
free convective flow of an electrically conducting fluid along a porous
uniformly moving hot vertical plate in presence of heat source/sink has been analysed. The governing equations of motion are solved by
perturbations technique. The velocity profile, temperature profile, skin
friction and the heat transfer coefficient are demonstrated graphically for
different values of the parameters involved.
Key words and phrases : MHD Flow, Porous medium, Permeability, Heat
transfer, Free convection, Eckert Number.
Generalized Co-Symplectic Manifold of
Second Class
Bhagwat Prasad and Satya Prakash Gupta
Abstract : Recently Mishra1
defined a generalized co-symplectic manifold of
second class. In the present paper we discuss the integrability
condition of this manifold. Some inclusions relations have been also
investigated. Finally we
studied affine connection of generalized co- symplectic manifold of second class.
Path and multiple regression analysis for human fertility
K. Senthamari Kannan* and V. Nagarajan**
Abstract : This paper focuses on the study of human fertility. In
this study the number of children ever born is conceived as the measure of
fertility. The rational for the choice of this fertility variable over the
others is because it is direct and easy to measure. This study is useful to
find solution for certain demographic and Socio-economic problems. Its contribution
will have a major impact in the area of social statistics.
Key words : Socio-economic Variables. Fecundity,
Fertility, Regression coefficient, path coefficients.
Fuzzy
covering and Fuzzy Neighborhood Set in Fuzzy Graphs
Q. M. Mahyoub and
N. D. Soner
Abstract : In this paper we present a concepts of adjacency, incident in a fuzzy
graphs and we extend the notions of a covering number and independence number
in a crisp graphs to a fuzzy covering number and fuzzy independence number in
fuzzy graphs. Furthermore, we discuss the relationship between these
parameters. This study gives the notion of fuzzy neighborhood set of a fuzzy
vertex, a fuzzy adjacency matrix of them and its properties, then we give the
concept of a fuzzy neighborhood number of a fuzzy graphs.
Also many other results are given in this paper.
Key
words: Fuzzy covering number, fuzzy independence
number, Fuzzy neighborhood set, adjacency fuzzy matrix fuzzy neighborhood number.
On totally real warped products in locally conformal almost osymplectic manifolds
S.S. Shukla and Pavan
Kumar Chaubey*
Abstract : In this article, we establish the inequality between the
warping function of a warped product submanifold isometrically immersed in a locally conformal almost cosymplectic manifold of pointwise
constant -sectional curvature and the squared mean curvature. Some
applications are derived.
AMS 2000 Mathematics Subject Classification : 53B25, 53C25, 53C42.
Key words and phrases : Warped product, mean
curvature, totally real submanifold, locally
conformal almost cosymplectic manifold.
Effect of heat source on hydromagnetic
convective flow through a vertical channel
AJAY KUMAR SINGH#, N. P. SINGH, SEEMA RAGHAV*
and ATUL KUMAR SINGH*
Abstract : In the present paper hydromagnetic
unsteady convective flow of an incompressible homogeneous, electrical
conducting, viscous fluid through a porous medium in a vertical channel
consisting of semi-infinite parallel walls is studied in the presence of
constant heat source. The magnetic field is applied normal to the flow. Using
A decision support system model for disaster management through gis and allied it technologies A case study, a part
of data Rajnagar Block of Kendrapada
District, Orissa (
Snehaprava
Abstract : Disaster risk in Orissa is
apparent in the physical and socio-economic vulnerability profile of the State.
The devastating Orissa super cyclone is still fresh
in our memories. A holistic approach to disaster management would therefore
include-growing environmental concerns and risk assessments towards a safer Orissa. Today Geospatial information is critical to
virtually every sphere of socio economic activity. One of the uses of this tool
in recent years has been in the field of disaster management. It is designed to
support geographical enquiry and ultimately spatial decision-making. GIS and
allied IT technologies can deliver not only data on hazards in the region,
information on buildings, life lines and critical facilities but can also
contain built in risk assessment programmes that
allow the planner to simulate disaster scenarios and graphically view the
potential damages and affected areas. It can help us in developing a decision
support system to be prepared for the future disaster.
Key words: Geographic Information System (GIS), Remote Sensing,
Decision support system (DSS), Vulnerability Analysis, Spatial decision making.
Steady free convective flow of viscous conducting fluid through a
circular pipe with constant heat source and ndt
variation
D. Subramanyam1,
K. Ravindranath2 and S.V.K. Varma3
Abstract : In the present work, we have studied the steady laminar
magneto hydro dynamic free convective flow of a viscous in compressible fluid
in a circular pipe by the consideration of NDT variation. A uniform magnetic
field is applied in the azimuthal direction. The
solutions for velocity, temperature and Nusselt
member have been obtained by using perturbation technique and results are
discussed graphically.
An Approach for detection and correction of design defects in Database
Reengineering
*Rajesh Verma and **R.K. Chauhan
Abstract : Modernizing the information systems having design defects
is a central software engineering problem in current IT industry. Often,
existing legacy database systems cannot simply be replaced by new systems,
because they maintain important legacy data pertaining to the company's
mission. Thus, reverse engineering of the design documentation of such legacy
database systems is often a necessity.1 proposed a number of design
patterns that offer good solutions for recurring design situations. Several
interactive CASE tools have been developed to solve this problem but the
practical experience indicates that their applicability is limited because they
do not consider defective knowledge about legacy systems. Reverse Engineering
is the process through which one tries to recover the specifications of a
software component. Database Reverse Engineering addresses the problem of
rebuilding the logical and conceptual schemas of a set of files or of a
database11. It is possible to recognize all locations in all schemas
that can be changed to improve quality. It is possible to recognize some
locations in some schema that can be changed to improve the internal product
quality. Our work tries to overcome the problem of detecting occurrences of
poor design patterns in legacy database systems and replacing the poor
code/design by a good design pattern by reverse engineering process.
Key words : Software reverse
engineering; reengineering; Defective knowledge, Legacy Database System, Design
Defects, Correction, Detection.
Several points modified explicit group iterative method for fast
solution of poisson equation
1Saodah
bt. Mohd. Ajil, 2Ismail bin Mohd. and
3Yosza Bin Dasril
Abstract : This paper presents
the modified explicit group iterative methods that use several points per group
for fast solution of Poisson equation.
The main concern of this paper is to construct new groupings of the mesh
points of the network into two and six points using the second order accurate
five-point finite difference equations and to investigate their advantages when
compared to the four points group explicit iterative methods. This work indicates that the six points
modified explicit group method can also be another alternative method in this
class of algorithm besides
the existing four points modified explicit group Poisson solver
which was given3. In order to confirm our recommendation, we provide
some numerical results of the test problem.
Key words : Poisson equation,
Successive Overrelaxation (SOR), Modified Explicit Group (MEG), Explicit Group
(EG).
MSC 2000 : 65Y10
On B- Finitistic Fuzzy Bitopological Spaces and P-Finitistic
Fuzzy Bitopological Spaces
Shakeel Ahmed
Abstract
: We
have introduced the concept of Covering Dimension and Finitisticness
of general Bitopological Spaces in our paper14
and studied some basic properties of these concepts their. In this paper, we
are introducing two concepts B- Finitistic Fuzzy Bitopological Spaces and P-Finitistic
Fuzzy Bitopological Spaces and studying their some of
the basic properties.
Key words: Covering Dimension, Finitisticness,
Fuzzy Bitopological Space, Open
refinement.
AMS 2000 Mathematics Subject Classification: 54A40, 04A72.
New search direction for modifying bfgs method
1Mustafa bin Mamat, 2Wong Thean Fong, 3Ismail bin Mohd and 4Yosza
bin Dasril
3Faculty of
Computer and Electronic Engineering Universiti Teknikal (
Abstract : This paper discussed about modified BFGS methods in
solving unconstrained optimization problems. This method is efficient in
solving unconstrained optimization problems. By using the modified BFGS (mBFGS) method, the objective function has to be
differentiating in solving unconstrained optimization problems. The numerical
results will show that the hybrid modified BFGS (hmBFGS)
method at least as competitive as the modified BFGS method which is recommended
by Liao. Hybrid modified BFGS method is giving
another alternative in solving the unconstrained optimization problems.
Key words: modified BFGS, superlinear
convergence, search direction, unconstrained optimization, local
convergence.
On (H,µn) summability
of the factored fourier series
Satish Chandra
and Garima Chaudhary
Abstract : In this paper we have proved a theorem on (H, µn)
summability of the factored Fourier series, which
generalize various known results.
However, our theorem is as follows:
Theorem: If {n} is convex sequence
such that is
convergent and
Also where 0<<1 then the factored Fourier series
An (x)
n is (H, n) summable
to s at t=x,
where the sequence n is given by
xn (x) dx n=0, 1, 2, .............
and
2000 Mathematics subject classification :
40 D05, 40 E05, 40 F05, 40 G05, 42 C05, and 42 C10.
Key words and phrases : (H, µn) summability, Factored Fourier series.
Determination of vorticity in a
hydraulic jump and the use of a general velocity profile
A.E. Eyo
Abstract : The sole aim of this study is to obtain a new general
expression for the mean vorticity downstrean
of hydraulic jump in terms of the Froude number. In
doing this a new form of momentum equation for the determination of the mean vorticity downstream of a hydraulic jump is derived using
substitution method. The new momentum differs from that of Hornung
et al1 in the sense that it
contains additional term which is the vertical acceleration term. A general
linear velocity profile is proposed and incorporated into the new momentum
equation and the new torque, different from 1,
exerted by the excess bottom pressure on the fluid is obtained. Incorporating
this torque into the angular momentum balance leads to a general expression for
the mean vorticity in terms of the Froude number. The present work generalizes1
since it extends the model1 to include a general linear velocity
profile.
Key words: vorticity, hydraulic jump,
velocity profile.
On K (E, 1) summability of Fourier series
V. N. Tripathi and
R.N. Yadav
Abstract : The present paper deals with a theorem on K (E, 1) summability of Fourier
series under very general condition. It extends the result of the theorems due
to Vuckovic6 and Kathal
(1969) on K summability
of the Fourier series.
On -Homeomorphism in topological spaces
Manoj Garg*, Shikha Agarwal**, Satya Goel*** and C.K. Goel**
Abstract : In this paper we introduce a new class of closed maps
namely -closed maps which settled in between the class of closed maps and the
class of
-closed maps. We also introduce and
study new class of homeomorphisms called -homeomorphisms and c-homeomorphisms.
Further we show that the set of all c-homeomorphisms form a group under
the operation composition of maps.
Key words : -closed maps; *-closed maps;
-homoemorphisms; c-homeomorphisms.
Bianchi type tilted cosmological model with perfect fluid dust
distribution in general relativity
B. L. Meena
Abstract : Bianchi Type I tilted cosmological model for perfect fluid
dust distribution is investigated. To get the determinate model, we have
assumed the condition that the component () of shear tensor () is proportional
to the expansion () in themodel.
This leads to A=(BC)n where n is the
constant. The physical and geometrical aspects of the model are also discussed.
Key words : Tilted, Cosmological,
perfect fluid, dust.
PACS No. : 04.20-q; 04.20.Jb;
04.20.Dv.
On uniform [F, dn]
summability of fourier
series
Abstract : The concept of uniform summability
has been introduced by Saxena. Saxena
has applied summability concept for Fourier series by
harmonic mean and proved two theorems on uniform Nörlund
summability. The object of the present paper is to
prove a theorem on uniform [F, dn] means.
Backpropagation Algorithm of Fed
Forward Neural Network for the Classification of Fuzzfied
Information
P. K. Butey1*
and Manu Pratap Singh2
Abstract : In this paper, a methodology has presented for proper
classification of fuzzy information. In this system, the fuzzy rules are used
as input-output stimuli’s. The system consists of layered architecture of
fuzzy- feed forward neural network. In this architecture the first hidden layer
generates the degree of membership (DOM) for all the input-output patterns
pairs. This vector of degree of membership is now being trained into the neural
network for generating the fiinal classification of
rules using the Backpropagation algorithm of feed
forward neural network. Thus, neural network as a whole performs two tasks.
First it generates the degree of membership and later it classifies the rules
in different classes on the basis of membership function. A simulation program
in C has been deliberated and developed for analyzing the consequences. The
overall process has been illustrated by applying to one realworld
classification problems i.e. IRIS. Results show the accuracy of the
classification and improvement in the epochs for learning the fuzzy rules.
Key words: Pattern Classification. Fuzzy System.
Feed-forward Neural Networks.
Elementary functions in the quaternion and other algebras of the Cayley-Dickson series
K. N. Srinivasa Kao*
and B. Gayathri Devi**
Abstract
: The
exponential and the other elementary functions of an arbitrary element in any of the 2mdimensional (m = 1, 2,
...) algebras like the quaternion (m = 2) and the octonion
(m = 3) algebras obtained by the Cayley-Dickson
construction are shown to be well defined and explicit expressions for these
functions in terms of the components of are obtained. It turns
out that these functions satisfy almost all the identities satisfied by the
corresponding functions of a complex variable.
Special
study in (1,2)-distance coloring and (1,2)-distance
graphs
K. Thiagarajan1, L.Pushpalatha2, Ponnammal Natarajan3
Abstract : In this paper we define (1, 2)-Distance Graph and (1, 2)-Distance
Coloring for the connected graph G. We get After studying the (1,2)-Distance graphs
for paths and cycles, we observe new results under (1,2)-Distance
coloring scheme for paths and cycles.
Key
words: (1,2) - Distance Graph, (1,2) - Distance Coloring, Bi-partite
Special
study in (2,2)-distance coloring and (2,2)-distance
graphs (for Paths & Cycles)
K. Thiagarajan1 and Ponnammal Natarajan2
Abstract : In this paper we define (2, 2)-Distance Graph and (2, 2)-Distance
Coloring for the connected graph G. We get some beautiful grapgs
under (2,2)-Distance graph scheme for paths and
cycles. Also we observe new results under (2,2)-Distance
coloring scheme for paths and cycles.
Key
words: (2,2) - Distance Graph, (2,2) - Distance Coloring, Bi-partite.