Abstract of 19(1M), 2007
A new
numerical procedure for the solution of y' = f (x,y), y(a) = y0
E.A.
IBIJOLA, A.J. OMOWAYE and O. AKINYEMI
Abstract :
A new Numerical procedure for the solution of initial value problem of the form
y' = f
(x,y), y(a) = y0 is proposed. The proposed scheme is
particularly suited to initial value problems having oscillatory and
exponential solutions.
Weibull distribution maximum likelyhood
estimation and it's use in estimation of rainfall
parameters
R.B. Singh
and Surabhi Jain
Abstract :
The Weibull
distribution is one of the most widely used lifetime distributions in
reliability engineering. It is a versatile distribution that can take on the
characteristics of other type of distributions, based on the value of the shape
parameter. It can therefore model a great variety of data and life
characteristics. In this paper weibull two parameters
model is discussed for estimate of rainfall. The parameters are obtained by
maximum likelihood method and also to attend has been made to estimate the
relation between the shape and scale parameters of the distribution for the rainfall
data.
On the
convergence of
E. A.
IBIJOLA*, R. A. ADELEKE and O. AKINYEMI
Abstract :
A boundary value problem is said to be of class M if it is of the form y"
= f(x,y), y(a) = A, y(b) = B, where – ¥ < a < b
< ¥, A and B are arbitrary constants. The function f(x,y) satisfy the Lipschit
condition and fulfill the condition that fy (x,y) ³ 0, a £ x £ b, – ¥ < y < ¥. The source of
motivation for this work is that of Henrici2. In this work, we examine the
convergence of
Key words :
Heat
and mass transfer flow past a porous vertical plate embedded with
non-homogeneous porous medium
AJAY KUMAR
SINGH#, N. P. SINGH and D. C. AGARWAL
Abstract :
In the present paper we shall discuss unsteady flow with heat and mass
transfer, of an incompressible, electrically conducting, viscous fluid through
a time dependent porous medium past an infinite porous vertical plate with
constant suction/injection in the presence of a uniform magnetic field applied
perpendicular to the flow region. It is considered that the plate is subjected
to a constant suction / injection velocity normal to the plate and the flow is
through a
non-homogeneous time dependent porous medium. The solutions for velocity field,
temperature field and concentration field are obtained using perturbation
technique. The effects of various parameters on primary velocity and secondary
velocity are numerically discussed with the help of figures. The effects of
important parameters on in skin-friction due to primary and secondary
velocities, rate of heat and mass transfer are discussed with the help of
tables.
Trace Element Analysis of 500-800
A.D. Coins Using X-Ray Fluorescence Technique
A.K.
Sharma1, Manmohan Kumar2 and Nirmal
Singh3
Abstract :
The qualitative as well as quantitative estimation of multielements including the trace elements present in the
material remains and coins found during the archaeological excavations and
explorations was carried out on 55 samples using X-ray fluorescence technique.
The samples belong to 500-800 AD period. Some of the samples were of 58 B.C.
period. It is observed that copper was the main and dominating metal used,
whereas tin and silver were used as trace elements. Some coins were also found
containing iron and lead. These studies are helpful in assigning the periods
and metallurgical techniques adopted for minting these coins. Also, the
presence and percentage of specific trace element/s differentiate between
genuine and forged coins.
Key words : Trace elements, X-ray fluorescence, Si (Li) detector, Multichannel analyser.
Elevating Fingerprint Verification System
Chander
Kant1, Parvinder Singh2 and Rajender
Nath3
Abstract :
This paper is concerned with increasing the performance of fingerprint
verification system. Verification is 1:1 matching process, establishing the
validity of a claimed identity by comparing a verification template to an
enrollment template. Verification requires that an identity be claimed, after
which the individual's enrollment template is located and compared with the
verification template.
This paper presents an approach that
improves existing conventional fingerprint verification system. The approach is
useful when fingerprint verifications are made at large scale level. In the
proposed method, first the dimensions of Finger/ Thumb are matched while
scanning the fingerprint for verification. The minute points are calculated and
matched further only when the dimensions are matched. This technique improves
FAR (False Accept Rate) and Total Response Time of conventional fingerprint
verification systems. The approach presented here is based on hand/ finger
geometry verification systems as the geometry-based systems have very fast
response time.
Key
words: Biometrics; Multimodal; Fingerprints; Face; Hand geometry;
identification; Verification.
Forecasting
the Rainfall Through Stochastic Modeling
with Application to Andhra Pradesh Data
P.
TIRUPATHI RAO1 K.
SRINIVASA RAO2 and M. HARI KRISHNA3
Abstract :
In this paper Rainfall data of Andhra pradesh is
modeled through Non stationary stochastic modeling. Since the rainfall in different parts is
random, there is a need of modeling the rainfall phenomena, so that the water
management and planning for various activities like drinking water supply,
irrigation supply etc. can be done effectively. Depending on the topographical
conditions of Andhra Pradesh, the total region is divided into 5 regions,
namely North Coastal, South Coastal, North Telangana,
Analysis
of a system of coexistence equations
M.H.
RAHMANI DOUST
Abstract :
In this paper, we study a special class of Kolmogorov
models for coexistence of two species. The nature of equilibrium points and
their manifolds are analyzed.
Mathematics
Subject Classification (2000): 34A34, 34C30, 92D25, 93A30.
Key
word: Coexistence Model, Equilibrium Point, Stable Manifold, Vector Field.
Use of Metrics in Reengineering Process
Hardeep
Singh, Sumesh Sood1 and Arvind
Kalia2
Abstract :
Software metrics support various reengineering tasks. Software metrics helps in
finding the useful and useless components of the software. They help in
understanding of the legacy system and can often finds hints about design flaws
that are obstructing the modification and the extension of the system. With the
help of metrics one can estimate the cost of reengineering process and compare
it with new software development. Metrics can help to provide easy access to
meaningful information about the source code without requiring the software
engineer to read through the entire source code. Instead information given by
metrics can be used to make a more efficient study of the source code based on
the points of interest indicated by the metrics result. The purposed rainfall
model is used as candidate model of this text.
A note
on an optimal replenishment policy for deteriorating items with constant demand
and partial backlogging
SUDHIR
KUMAR SAHU1, REHENA BEGUM2 and ABDUL KALAM2
Abstract :
In this paper, we consider a problem of determining the optimal replenishment
policy for deteriorating items with constant demand. In the model shortages are
allowed and backlogging rate is variable and depended on the waiting time for
the next replenishment. The results for the model with deterioration rate and
shortages are considered. Sensitivity of the decision variables to changes in
the parameter values is examined and effects of these changes on the optimal
policy are discussed. Numerical examples are used to illustrate the developed
model and the solution procedure.
Flow of a Visco-elastic fluid through an
annulus
RITA
CHOUDHURY and HRIDI RANJAN DEB
Abstract :
The flow of a visco-elastic fluid through an annulus
has been studied under the assumption that the inner surface of the annulus is
a smooth rigid cylinder while the outer surface is flexible cylinder whose
radius is varying with time as well as with axial distance. The governing
equations have been solved by using regular perturbation technique, taking
variation in the outer surface as perturbation parameter. The boundary conditions
at the outer surface are suitably amended with the use of
Key words : Visco-elastic, Shearing
stress, Regular perterbation technique
1991 AMS
Mathematics Subject Classification : 76A05, 76A10
Weak and strong convergence theorems for two asymptotically nonexpansive
mappings
G.S. Saluja and G. Gupta
Abstract :
In this paper, we prove weak and strong convergence of common fixed points of
modified Ishikawa iterative sequence with errors for two asymptotically nonexpansive mappings in a uniformly convex Banach space. Our results generalize and improve the
corresponding result of Das and Debata2, Khan and
Takahashi5, Schu7, Takahashi and Tamura10 and others.
2000 Mathematics Subject Ciassification No. : 47H10.
Key words : Asymptotically nonexpansive
mapping, common fixed point, the modified lshikawa
iterative sequence with errors, uniformly convex Banach
space.
Unsteady
MHD flow between a stretching sheet and an oscillating porous upper parallel
plate with constant suction
A.K. Mathur and K. K. Mishra
Abstract :
The unsteady MHD flow of an incompressible viscous electrically conducting
fluid between two horizontal parallel non-conducting plates, where the lower
one is a stretching sheet and the upper one is an oscillating porous plate is
studied in the presence of a transverse magnetic field. Fluid motion is caused
by the stretching of the lower sheet and a constant suction is applied at the
upper plate which is oscillating in its own plane. The stretching velocity of
the sheet is assumed to be a linear function of distance along the channel. The
expressions relating to the velocity distribution are obtained and effect of
different values of various physical parameters are calculated numerically and
shown graphically.
Key words : Unsteady,
MHD, stretching sheet, suction,
oscillating porous plate.
Soret effect due to natural convection between heated vertical plates
in a horizontal small magnetic field
B. R.
SHARMA and R. N. SINGH1
Abstract :
The effect of a small uniform applied horizontal magnetic field on separation
of a binary mixture for the case of the fully developed natural convection of a
fluid between two heated vertical walls is investigated. Neglecting the
induced
electric field the equations governing the motion, temperature and concentration
are solved analytically by series expansion in terms of a dimensionless
parameter measuring buoyancy force. The solution obtained for concentration
distribution is plotted against the width of the channel. It is found that the
temperature gradient as well as dimensionless number
measuring the buoyancy force retard the species separation of binary
mixture. In the central part the rarer and lighter component of the binary
mixture increases with the decrease in the value of the magnetic parameter
measuring the magnetic field strength but reverse effect is found near the
plates.
Key words:
Binary mixture, incompressible fluids, natural convection, thermal diffusion,
magnetic field.
Unsupervised
image classification using finite truncated Gaussian mixture model
1Srinivas Yarramalle and Srinivas Rao K.2
Abstract :
Image Segmentation is a Prime desiderata of Image Analysis. Recently much work has been reported in
literature regarding Model Based Image Segmentation. Among these models the Finite Gaussian
Mixture Model with EM algorithm is considered to be more recent and
accurate. However, in this approach the
number of segments that an image can be divided is taken through a priori
probability. If the assumptions
regarding the number of segments and the probability distribution for pixels in
the segments are not suitably chosen then the classifier may not serve the
purpose efficiently. Hence in this
paper, an attempt is made to develop and analyze a Finite Mixture Truncated Gaussian
Model with EM algorithm, in
which the number of segments
are selected through the K-means realignment algorithm. The
performance evaluation of this classifier is done through Signal to Noise Ratio
and Root Mean Squared Error. This
classifier retrieves the images more accurately than the Finite Gaussian
Mixture Classifier.
A
Mathematical Study of Strategic Frame Work for Productivity Improvement in
Steel Industries through Automatic Dimensional Measurements of Steel Products
Ravindra
Sharma* and
G.P. Chhalotra*
Abstract :
Steel Plants some time face the shortage of Input and store of the product is
not sold properly. These two events form a strategic planning, for steel
Industries. The steel industry is assumed as a system with a large number of
elements or components. One can form a Fuzzy set F(z)
using these elements and their elementhoods between 0
and 1. The mutual coupling, interaction, co-ordination ,co-operation,
synchronism can help to derive Fuzzy grades of truth for each element. The
contribution of each element of the industry can be described in a Fuzzy set
with their Fuzzy grades of truth. The inputs are land, labour,
capital and organization in the Economic system as and output is the Fuzzy
productivity the decision Fuzzy productivity as the controlled by the
constraint.
The productivity can be
controlled by the constraints. The complementary function can be used as the
controller. A Fuzzy logic dead beat controller is used to control the
productivity and the automatic dimensional measurements of the products are
encouraged. The dimensional automatic measurements will be another output. This
method will be computerized to measure the parameters of the product. These parameter will be density, volume, weight, area,
holes, squares, plates, nuts, bolts, sheets, rails, wheels and other finished
goods and articles. The cost of the products are also
calculated automatically by the computers. Steel
Industries run on the random planning and working without any systematic
modeling using mathematics and system theory. There is a great loss is such
industries due to lack of control parameters. Here a model is presented to
increase the productivity of the steel industries using Fuzzy logic systems and
neural networks. All the mechanical and electrical system can be transformed to
the neural network and Fuzzy system. The static and dynamic behavior of the steel industry is described
under the Fuzzy logic universe of discourse. Every Fuzzy system has a dual
function which can be used to control the output of the system. In Fuzzy logic
this is called a constraint of an objective.
Steady
inclined two layered flow with periodic body acceleration
V. P. Rathod* and Habeeb Ahmed
Abstract :
A mathematical model has been formulated to study the steady inclined two-layer
blood flow with periodic body acceleration. The effect of periodic body
acceleration and inclined angle on the blood flowing through a uniform
cylindrical tube has been analyzed. Blood is considered as a couple stress fluid. Analytic expressions for axial velocity, core region,
peripheral layer and flow rate have been obtained by applying finite Hankel transform technique. The velocity variation for
different parameters have been discussed and presented in the form of graphs.
The result has been compared with existing theoretical models and is found in
good agreement with the other results.
Key words : Blood flow, Couple stress fluid, Body acceleration, Two-layer,
Inclined.
MHD
flow between two coaxial rotating cylinders bounded by a permeable bed
D.
Subramanyam1, K. Ravindranath2, S.V.K. Varma3 and K.J. Pillai4
Abstract :
In the present work we have studied the flow of electrically conducting viscous
incompressible fluid between two coaxial rotating cylinders with the outer
cylinder bounded by a permeable bed under the influence of inform radial
magnetic field. The cylinders are rotating with angular velocities 
and 
respectively
in the same direction. The fluid
injected / sucked at the inner cylinder with a constant velocity. The flow in
the annulus and in the porous medium is governed by the same pressure gradient 
the expressions for velocity, Torque and temperature are
obtained and the results are discussed graphically.
A
solution of the Burger’s equation of the problem of seepage in two layered soil
with an inclined boundary
Twinkle
Patel
Abstract :
The present paper discusses the seepage of groundwater in two layered soil with
an inclined boundary when the layer below is heterogeneous and the upper one is
homogeneous. The governing differential equation of this problem has been
transformed to the diffusion type heat equation and it has been converted into
the Burger’s equation by using Hopf-Cole
transformation. The solution of the problem has been obtained by using
appropriate boundary conditions and its graphical presentation is also
discussed.
Key words : Burger’s equation, Fluid mechanics.
Transition probability of enrollment figures
Ugbe,
Thomas A.1, Akpan, Stephen S.2, Udoh,
Mfon E.3 and Ekabua, Obenten O.4
Abstract :
The paper deals with transition probability, a special type of conditional
probability used in studying many life processes in which the likelihood of
changing from one 'state' to another depends solely on the present 'state'. The
goal here is to calculate the likelihood of transiting from one state to
another and to make forecast as regards the trend of such transition in the
long run. This was demonstrated with an illustrative data (student enrollment
in selected secondary schools in Calabar Metropolis).
The probabilities were found to be very high, which in
effect means that the number of steps before the system will converge to a
‘steady state’ will be minimal. The result shows that the transition matrix is
non-ergodic.
Key words : Conditional probability, transition probability,
steady state, enrollment, Markov process, convergence.
On
Partial Quasi-bilinear Generating Functions Involving Generalised
Bessel Polynomials
P. K. Maiti*1 and A. K. Chongdar**
Abstract :
In this note we shall show that the existence of a partial quasi-bilinear
generating function implies the existence of a more general generating function
from the concept of one parameter group of continuous transformations. Some
particular cases of interest are also pointed out.
AMS -
2000 classification code: 33A47.
A new component based software development model
Ashok
Kumar and Naveeta Adlakha
Abstract :
Component Based development has been widely accepted in both academia and
industry for building software with reusable components. With the need to
produce larger and more complex software systems, the use of reusable components
has become increasingly imperative. A component is a self-
contained
piece of software that has open interfaces and provides clear functionality.
Component based software development is expected to at the forefront of new
approaches to the construction of large and complex software systems. As
software is growing increasingly complex, so too the effort required to produce it,
on this account the new component based software development model is proposed.
Attempts to rationalize component-based development have to recognize thal the construction of software system is complex mulitifaceted actively. These activities, among others, are
encompassed by a software life cycle, put forwarded in this study. This new
model provides guidance for the major phases to be followed during development
of software.
Key words : Component Based Development. Software
life Cycle. Domain analysis. Component
assembly & Archicing.
MHD
Oscillatory Free Convective Flow and Heat Transfer through a Porous Medium with
Constant Suction and Heat Sink
N. Ahmed
and D.P. Barua
Abstract :
The problem of two dimensional oscillatory convective flow of a viscous
incompressible and electrically conducting fluid through a porous medium
bounded by an infinite vertical porous plate in presence of a heat sink is
discussed, when the plate temperature varies periodically with time. A uniform
magnetic field is assumed to be applied transversely to the direction of the flow,
the plate being subjected to a constant suction velocity. The magnetic Reynolds
number is assumed to be small so that the induced magnetic field can be
neglected. Discussion is confined to the small Eckert number E.
The expressions for the skin friction at the plate in the
direction of the flow, rate of heat transfer in terms of the Nusselt number from the plate to the fluid, the velocity
field and the temperature field are obtained in non-dimensional forms. The
amplitudes and the phases of the fluctuating parts of the skin friction and
heat transfer at the plate are demonstrated in graphs for different values of
the parameters involved.
2000 Mathematics Subject Classification: 76D
Key words : MHD, heat transfer, porous medium, suction velocity,
heat sink, permeability, electrically conducting, viscous incompressible.
Uniformly
convex functions and the corresponding class of starlike
functions defined by fractional integral
K.K.
Dixit1 and Pradeep Pandey2
Abstract :
In the present paper we define and investigate a class of analytic functions
defined by fractional integral over the elements of the classes of Uniformly
convex functions and starlike functions corresponding
to uniformly convex
functions
having negative coefficients.
Coefficient estimates, class preserving integral operators, radius of
convexity, distortion bounds and closure Theorems are obtained for these
classes.
Key words : Analytic, Univalent, starlike,
uniformly convex, Fractional Integral, radius of convexity, radius of starlikeness.
On
firmly nonexpansive mappings
T.D. Narang
Abstract
: It is shown that each sunny nonexpansive retraction
for a closed convex subset K of a convex linear metric space (X , d ) is firmly
nonexpansive and fixed point sets of nonexpansive mapping T : K ® K and of firmly nonexpansive mapping fl = lT o fl
+ (1 – l) I,0 < l < 1 are the same.
AMS
Subject Classification (2000): 47H20, 54C15, 54H25.
Key words : Firmly nonexpansive,
firmly quasi-nonexpansive, sunny nonexpansive,
sunny retraction, convex linear metric space.
Semi-
compatibility and common fixed point theorem in fuzzy metric space using
implicit relation
V.H. Badshah1 and Nidhi Shrivastava2
Abstract :
In this paper the concept of semicompatibility is
used to prove results on existence of unique common fixed point of four self
maps satisfying a general contractive condition. This has been done by using
the notion of semicompatible maps in Fuzzy metric
space. All the results of this paper are new.
Key
words and Phrases : Fuzzy metric space, Common fixed
point, semicompatibility, compatibility, weak
compatibility.
An
Analytical Approach to Secure Global Computer Network From
Catastrophic Attack
Ashok Kumar1 and S.N. Panda2
Abstract
: Due to amazing growth of IT
infrastructure and Communication Technology both in size and influence in our
society has lead to increase risks of it's exploitation by criminal and
terrorist groups. So, there is a need to act and to develop intelligence
methodologies to aid analysis of Internet-based National Security, Criminal threats
and to augment existing NET-Security Practices.
So the aim of this paper is to focus
on effective utilization of Information, Communication Technology, it's Security
considerations and prevention from suspect an attack, increasing rate vulnerability in www, and
potential consequences.
Key words :
Terrorist, Criminal, Vulnerability, Prevention
Investigations
on 24,500 km Long-haul Path-Averaged Soliton
Transmission Link at 10 & 20 Gbit/s with
Higher-order Dispersion at Varied Chirp
Ajay K.
Sharma, Manoj Kumar* and T. S. Kamal#
Abstract :
In this paper, we have investigated the performance of long haul path-averaged soliton transmission link including the effect of second-
and third-order dispersion terms at varied chirp. In this paper the varied
chirp is considered keeping in view the inadvertent frequency chirp imposed on
all practical sources of short optical pulses. The investigations reveal that
the system is capable of transmitting a pulse upto
the distance of 24,500 km at bitrate of 10 and 20 Gbit/s. Further, the investigations have been carried out
by varying the chirp factor in the range 0-1 and 0-0.4 for 10 and 20 Gbit/s respectively to demonstrate the robustness of the
long haul soliton link. The observations establish
that the pulse width (FWHM) remain within the optimal range even at the
transmission distance of 24,500 kms. It has been
observed that the soliton pulse remain stable up to
the chirp factor of 0.5 and 0.3 in case of 10 and 20 Gbit/s
respectively.
Key
words: path-averaged soliton, soliton
links, higher-order dispersion, loss-managed link.
Effects
of Mass Transfer on Transient MHD Free Convection Flow of Dissipative Fluid Past an Infinite Vertical Porous Isothermal Plate
B. Rushi Kumar*, S. Ramakrishna*, A.S. Nagarajan**
and V.M. Soundalgekar***
Abstract :
A numerical study is performed to analyze the effects of mass transfer on
transient MHD free convection flow of dissipative fluid past an infinite
vertical porous isothermal plate is considered on taking into account viscous
dissipative heat, under the influence of transverse magnetic field. The
velocity profiles, the temperature profiles and the concentration profiles are
shown in graphs for different magnetic field parameter M, suction parameter g,
Schmidt number Sc, Eckert number E and ratio of Mass transformation N. It is
observed that the velocity decreases with the increase in magnetic field
parameter M. It is also noticed that as the suction parameter g increases, the
velocity, temperature and concentration decreases.
Key words : Transient MHD free convection flow: Dissipative
fluid: infinite vertical porous isothermal plate, Non-linear systerns.
Finitisticness of Bitopological Spaces
Shakeel Ahmed
Abstract :
In this paper, we have introduced the concept of B-Finitistic
Bitopological Spaces and studied its various
properties.
Key words : Finitisticness, Bitopological Space, Open refinement, Homeomorphism.
AMS 2000
Mathematics Subject Classification: 54A40,04A72.
On a
fixed point theorem of two L-spaces
N.K.
TIWARI and MAMTA
AWASTHY
Abstract :
A new fixed point theorem of Two L-Spaces is obtained.
Key words : Fixed point,Complete
L-Spaces.
A
mathematical model for growth of bacterial population under toxic effects
RAJESH
SHRIVASTAVA and AMIT KUMAR SRIVASTAVA
Abstract :
In the present paper, growth of a bacterial colony is discussed assuming the
toxic substances produced by certain bacteria as a rate-limiting factor. Integro-differential equation of growth is studied
considering the
mortality rate linearly
dependent on the concentration of the toxic substances produced by bacteria in
the culture.
Key words : Population, micro-organisms, mortality, toxic
products.
Comparison
of designs based on loss of information as an optimality criterion
Akpan, Stephen S.,1 Ekabua, Obenten O.,1 Udoh, Mfon E.1 and Ugbe, Thomas A.1
Abstract:
Admissible designs are compared using loss of information as
an optimality criteria, a theorem is here proved to show how two designs
can be compared using the aforementioned criteria. A numerical application and
optimality checks to ascertain our claims is equally put to use.
Key words : Fractional Experiment, Loss of Informations
Confounding, 2k experiment, Odd-fractional Design.
Some
results on metric space over topological semifield
Rizwana Jamal
Abstract :
In the present paper we have generalized the field of all real numbers and
improved the result of Edelstinen4 on metric
space over topological semifield. The result of Chaterjea1 Reich2 Hardy and Rogers3 have also been
generalized.
A
representation of generalized hypergeometric function
pFq in terms of fractional differintegration
Paheli Bansal
Abstract :
In the paper a representation of hyper geometric function in terms of
Fractional Differ integration has been derived with the help on N-fractional
operator.