|
Mixed ligand complex formation
of M2+ ions
with pantoprazole and
b-alanine
Sarita Shrivastava and
Chitra Rekha Tiwari
Abstract:
Peptic ulcer is mainly caused
by Gastric acid Protom pump inhibitors (PPI) play important role to suppress
the stomach acids. Pantoprazole is one of the important PPI drug. The
interaction of Cd (11), Co (11), Cu (11), Mn (11) and Zn (11) ions with
Pantoprazole, in presence of an amino-acid, B-Alanine, has been investigated
potentiometrically at 26oC
and 36oC
and 0.1M (NaNO3)
ionic strength. The stability constants of the Binary (1:1) and ternary (l:l:l)
complexes indicate the stability order as : Cd (11)< Zn (11) < Mn (11) < Cu
(11) < Co (11).
D
log K values obtained are positive and suggest greater stabilisation of
ternary complexes. The calculated values of thermodynamic parameters (
DG,
DH
and D
S) indicate that the interactions are enthalpy characterised.
Key words :
Proton pump inhibitors (PPT), Pantoprazole, Cd (11), Co (11), Cu (11), Mn
(11) and Zn (11), B-Alanine, ternary complexes, M2+ -
Pantoprazole - alanine equilibria, stability of Pantoprazole complexes,
stability of bivalent metal complexes.)
|
|
|
Effect of magnetic field on
mixed convection in porous medium.
*K.
Rama Krishna, **V. V. Sobha
and
***A. Rami Reddy
Abstract: This paper deals with the
effects of magnetic field on mixed convective flow over a heated vertical
flat plate embedded in a highly conducting fluid saturated porous medium.
It is assumed that the wall temperature of the plate is a power function of
the distance from the leading edge. Boundary layer
approximations are invoked by considering a
very large Rayleigh number. The ratio of Rayleigh number to Peclet number
is considered to assess the forced, aiding mixed and opposed mixed
convection effects on the plate. Further the effect of magnetic field on
the boundary layer thickness and heat transfer
characteristics is studied by introducing the
Hartmann number. Results indicate that applied magnetic field will enhance
the rate of heat transfer and is found more effective in aided mixed forced
convection than in opposed mixed convection.
Key words :
Porous medium, mixed
convection, Magnetic field, Hartmann number.
|
|
|
Order of Elements in a
Topological Space
*Kiran Shrivastava
and
** Sushma Duraphe
Abstract :In this paper, we define
order of elements in a topological space. Several results concerning
various properties of order of elements, are established.
Subject Classification :
AMS(2000): 54 A 99
Key words :
order, open set, point finite, finite, infinite.
|
|
|
Conformality and isometry of
Riemannian manifolds to spheres
S.S.
Pujar and
S.M. Bhati
Abstract: In this paper, we consider
the n-dimensional (n>2) compact and orientable Riemannian manifold M
admitting a conformal transformation X in M satisfying (2.1). The main
purpose of the paper is to obtained the integral formulas in Riemannian
manifold and use them as powerful tool to describe the global results. In fact, we obtained some conditions
in terms of integral formula for M to be isometric to a sphere without
putting restrictions on the scalar curvature of M. In section 4, it is shown
that our results shall include the results of Yano and Sawaki2,5 and
some of those of Amur and Pujar3 as
a special case.
Key words:
Riemannian manifolds, Lie derivative, conformal transformation, and scalar
curvature.
|
|
|
Inventory models for items
having stock dependent demand and fuzzy deterioration rate
U.V.
Adinarayana Rao1 and
K. Venkata Subbaiah2
Abstract: Most of the perishable
inventory models are developed with the assumption that the deterioration
rate is constant. But in practical situation there will be little variations
for deterioration rate. In present study inventory models are developed with
stock dependent demand and fuzzy deterioration rate using triangular
membership function in case of without shortages. Methodology for getting
the optimum total cost is also presented. To explore the effectiveness of
the model developed, numerical illustration is presented and discussed.
Sensitivity analysis is carried out to study the effect of under-estimation
and over-estimation of system parameters on the optimal operating
strategies.
Key words:
perishable inventory, Stock
dependent demand, and fuzzy deterioration rate.
|
|
|
Management and decision making
using fuzzy set theory
Nisha
Agrawal1 and
R.C. Jain2
Abstract: Probability theory cannot
deal with important aspects of project uncertainty and cannot explain some
important aspects of observed project management practice. Decision-making
methods using fuzzy set theory have gradually gained acceptance because of
their capablities in handling the impreciseness that is common in system
specifications, states and alternatives ratings. In this paper, a fuzzy
model of decisions is presented that accommodates certain constrainst C and
goals G. Here both constraints and goals are treated as fuzzy sets
characterized by membership functions. The fuzzy model of decision making
is illustrated by a simple example.
Key words:
Fuzzy sets, Decision-making, Probability, Uncertainty, Fuzzy set
intersection.
|
|
|
MHD Free Convection Flow with
Viscous Dissipation in a Vertical Wavy Channel
S.S.
Tak and
H. Kumar
Abstract: In the present problem,
two-dimensional free convective MHD flow and Heat transfer of a viscous
incompressible fluid, in a vertical wavy channel with frictional heating
studied. The non-linear equations governing the flow have been solved by
assuming that the flow consists of a mean part and a perturbed part as the
walls are pure sinusoidal wavy perturbations to the planes y=±1. It is also
assumed that one of the walls is isothermal and the other is adiabatic. The
effects of the various parameters, entering into the problem, on the
velocity and temperature field are discussed. Numerical values of the skin-
friction coefficient and Nusselt number for the isothermal wall and Recovery
Factor for adiabatic wall are tabulated for different values of the
parameters.
|
|
|
Shock model approach to the
determination of optimal time interval between recruitments
R. ELANGOVAN, C. ANANTHARAJ and
R. SATHIYAMOORTHI
Abstract: In any organization the
exit or wastage of personnel is very common. The exit of personnel in
marketing organizations is very frequent, especially when policies regarding
incentives, targets are revised. In this paper the optimal time interval
between recruitments is obtained using the shock model approach with
associated costs. The probability of the breakdown of the organization for
the first time due to the exists of personnel is also incorporated while
considering the cost aspects. Special cases are discussed with numerical
illustrations.
Key words Used :
Wastage, Shock Model
Approach, Manpower Planning, Threshold Level, Decision Making Epochs, Inter
Arrival Times.
|
|
|
W+ Model
Dharminder Kumar and
Sonia
Abstract:
In software development process, testing activity consumes approximately 40%
of the whole project time1.
That's why if smart testing is done, significant amount of time could be
saved still maintaining the quality. The W model of testing clarifies that
testing and debugging is not the same thing4.
The present study extends this model by introducing the fact that the job of
a tester may be to test in a way so as to evaluate and manage risk also.
|
|
|
Neighborhood in subdivision
graphs
N.D. SONER and PUTTASWAMY*
Abstract: In this paper, we
investigate the properties of neighborhood number, connected neighborhood
number and independent neighborhood number in subdivision graphs.
2000 Mathematics subject classification : 05C70
Keywords
and phrases :
Neighborhood set, connected neighborhood set, independent neighborhood set,
subdivision.
|
|
|
A stochastic model for expected
time to cross the antigenic diversity threshold (cadt)
in hiv infection
R.
Jaisankar1 and
R. Sathiyamoorthi2
Abstract: Successive contacts with a
HIV infected person tends to weaken the immune system which is due to
genetic variability gained by HIV and this is called the antigenic
diversity. As the antigenic diversity reaches the antigenic diversity
threshold, the immune system is unable to sustain against the viral
population and gets collapsed which leads to the state of onset of AIDS
symptoms. The present work describes of simple mathematical model to
estimate the time to cross the antigenic diversity threshold, which
signifies onset of AIDS. The expected time to the collapse of the immune
system and its variance are obtained assuming that the threshold follows Erlang 2 distribution.
|
|
|
A classical solution of the
Burger’s equation arising into the Imbibition Phenomenon in double phase
flow through Homogeneous Porous Media
Twinkle Patel and
M.N. Mehta
Abstract: The basic Burger’s equation
arising into the imbibition phenomenon has been converted into the perturb
Burger’s equation by introducing a term as
g3Si,
such that as
g3 ®
0 and finally it has been proved that, given solution is not solution of
perturb Burger’s equation but it is solution of Burger’s equation by using
appropriate boundary condition under certain standard assumption.
Key words:
Burger’s equation, perturb
burger’s equation, fluid mechanics, imbibition phenomenon.
AMS Subject Classification
No:76S05.
|
|
|
Evolving Next Generation
Internet Protocol on indows and Linux
Dharminder
Kumar and
Anubhuti Yadav
Abstract: IPv6, the next generation
protocol is the best solution for the problems that current Internet
protocol faced. In this paper IPv6 is introduced, including comparison of
IPv4 and IPv6, transition mechanism. In order to assure the IPv6
implementation to be consistent there is a need to evaluate the performance
benefits or drawbacks for end users that the new IPv6 protocol will have compared to the well established IPv4
protocol. . Like any other protocols, the acceptance of various IPv6
implementations heavily relies on end-user performance. Hence with the
availability of a variety of IPv6 implementations, it is essential to
evaluate their performance under different operating systems. The IPv6 performance will be compared with the
performance of IPv6 for operating systems, namely Red Hat Linux Enterprise (RHLE)
4.0 and Windows XP.
|
|
|
Results in best approximation
theory for compatible mapping
Hemant Kumar Nashine and
C.L. Dewangan
Abstract: Some existence results on
common fixed theorem for best approximation involving six mappings are
proved for general type of starshapedness condition of domain and without
linearity condition of mappings in the setup of q-normed space. Our works
generalize the recent results of Singh and Chandel11.
Some known results Beg, Shahzad and Iqbal1,2,4,10,12 are
also generalized and improved. A property known as Property(G)
is defined to restore the linearity nature of mapping.
2000 Mathematics Subject Classification.54H25,47H10.
Key words and Phrases:
best approximation, fixed point, normed space, compatible pair, semi-convex
structure.
|
|
|
Finite element analysis of
Hagen-Poiseuille flow in circular duct bounded by porous bed
G.
Sreedhara Rao,
S. Ramakrishna and D.V.
KRISHNA*
Abstract: In this paper, the Hagen-Poiseuille
flow in circular duct bounded by a porous lining is discussed using finite
element analysis. The Brinkman equation is used in the porous bed while the
Navier-Stokes equation governs the flow in the core region. The velocity,
shear stresses are evaluated and their behaviour is investigated for
different values of the governing parameters.
Key words :
Radial flow, Coaxial permeable bed, Linear elements, Quadratic elements,
Global matrices, Darcy parameter, Reynold’s number.
|
|
|
Oscillatory free convection flow
of an elastico-viscous fluid past an infinite vertical oscillating plate
with constant heat flux
R. C.
Chaudhary* Abhay Kumar Jha
and
Sawai Singh
Abstract:
Free convection flow of an elastico-viscous fluid past an
infinite vertical oscillating plate with constant heat flux has been
discussed. The flow is subjected to a constant suction. Analytical
expressions are derived for mean and transient velocities and temperature
field. The effects of k, the elastic parameter, w,
the frequency of oscillation, P, the Prandtl number have been discussed in
detail with the help of graphs.
|
|
|
Modular orthographs
E.K.R.
Nagarajan and
M.S. Mutharasu
Abstract:
We introduced6 a
lattice theoretic approach to the study of graphs. In this paper we obtain a
necessary and sufficient condition for a graph to be a modular orthograph.
Key
words:
orthographs, orthomodular graphs, modular orthographs and Boolean graphs.
|
|
|
On almost Euler Summability of
Legendre Series
V. N.
Tripathi and
A.K. Yadav
Abstract: Sharma, Dixit and Shukla3 have
defined for the first time almost Borel summability and proved a theorem on
almost Borel summability of Fourier series under certain condition. Here, in
the persent paper, we have defined almost Euler summability of order q>0,
i.e almost (E,q) summability and studied almost Euler summability of
Legendre series under very general condition. It is well known that (E,q)
summability redues to (E,1) summbility for q=1 which is a generalization of
Borel summability1.
|
|
|
Quadrupe series equations
involving jacobi polynomials
Kuldeep Narain* and
Sarjit Singh**
Abstract: The present paper seeks to
solve the quadruple series equations involving Jacobi polynomials as kernel.
These equations are finally reduced to Fredholm integral equations of second
kind.
|
|
|
On Covering Dimension of Crisp
Subsets in L-Topology
Shakeel Ahmed
Abstract:
In this paper, we have introduced the concept of covering dimension of crisp
subsets in L-topological spaces and studied it’s various properties.
Key words :
0-open covering, 0-covering
dimension, homeomorphism, L-topological spaces.
AMS (MOS) Mathematics
subject classification (1991). 54A40, 04A72.
|
|
|
Convergence of fixed points of
nearly nonexpansive mapping with error member in Banach space
G.S.
Saluja
Abstract: The paper discusses the
convergence of Ishikawa iteration process for nearly nonexpansive mapping
with error term in Banach space. In this paper, we give the sufficient and
necessary condition for Ishikawa iterative sequence to converge to fixed
point for above said mapping with error term in Banach space.
2000 Mathematics Subject Ciassification No. : 47H09, 47H10.
Key words :
Ishikawa iteration process with errors, fixed point, nearly nonexpansive
mapping.
|
|
|
Finite element analysis of
magnetohydrodynamic flow in circular duct bounded by porous bed
G.
Sreedhara Rao, S. Ramakrishna
and
D.V. KRISHNA*
Abstract: In this paper, the influence
of radial magnetic field on the flow through duct is discussed. The
analytical and numerical solutions are obtained using finite element method.
The behaviour of the velocity, shear stresses under the influence of a
magnetic field is discussed, making use of computational analysis.
Key words :
Radial flow, Radial Magnetic field, Coaxial permeable bed, Linear elements,
Quadratic elements, Global matrices, Darcy parameter, Magnetic parameter,
Reynolds number.
|
|
|
Fixed Points of expansive
mappings in probabilistic D-metric spaces
Renu
Chugh and
Savita Rathi
Abstract: The purpose of this paper is
two fold. First we observe that under suitable conditions an expansive
mapping can be viewed as a Banach contraction mapping in probabilistic
D-metric space. Secondly, we prove some common fixed point theorems for
expansive mapping in probabilistic D-metric spaces, which are probabilistic
analogue of the result of Ahmad, Ashraf and Rhoades1 in
D-metric space. In this paper it is shown that the class of probabilistic
D-metric spaces is metrizable. The metric D (as defined by Dhage in5)
is related to the distribution function F by D(x,y,z) < t if and only if
F(x,y,z;t) > 1-t.
1991 AMS Subject classification 47H10,54H25.
Key
word and Phrases:
Probabilistic D-metric Space, Expansive mapping.
|
|
|
On the genera of compact Riemann
surfaces admitting Cp
´
Dm as
a group of automorphisms
Kuntala Patra and
Dipankar Sarma
Abstract: In the study of groups of automorphisms of compact Riemann surfaces one of the most remarkable results
is that a finite group can be represented as a group of automorphisms of a
compact Riemann surface of genus y
³
2. The same group may be representable as a group of automorphisms of
compact Riemann surfaces of different genera. It is of interest to determine
the complete set of genera of compact Riemann surfaces for some finite
group.
In this paper, we find the
set of genera for the group G = Cp ´
Dm,
where m (³
= 3) is an odd positive integer and p is any odd prime, acting as an
automorphism group of a compact Riemann surface of genus g. Here we have
proved that there exists a compact Riemann surface of genus g
³
2 on which G acts as a group of automorphisms if and only if the integer g
can be expressed as
g =
l
+ ma
+ pmb,
where
l,
a,
b
are integers, not simultaneously zero satisfying the conditions
l £
1, b ³
0, |l|
< a
+ pm
b.
Key
words: Riemann
surface, Fuchsian group, Automorphism, Epimorphism, Smooth quotient, Cyclic
group, Dihedral group, Metacyclic group, Genus,
Genera.
1991 Mathematics
subject classification: 20 H 10, 30 F 35.
|
|
|
Mining the predictive class
association rule set
Dharminder
Kumar and
Richa Singh
Abstract: This paper presents a
predictive class association rule set i.e. the minimum rule set
having the same predictive power of the complete class association rule set.
This rule set has the same predictive power since it excludes the less
accurate and more complex rules from the rule set. We also present an
efficient algorithm for mining the predictive class association rule set
using an upward closure property of pruning weak rules before they are
actually generated. Hence, using this rule set instead of the complete class
association rule set we can avoid redundant computation that would otherwise
be required for mining class association rule set. We also characterize the
relationships with other rule discovery schemes such as non redundant
association rule discovery. We have applied the algorithm on a small
database and our results show that the algorithm generates the predictive
class association rule set, where efficiency of the mining process is
significantly improved. The proposed criterion will be very effective for
pruning weak rules in dense databases.
Key
words: Data mining;
Association rule mining; Class association rule set.
|
|
|
Comparison of Analytical Results
with Simulated Results of a Model of Clinic
P.R.
Sharma and
Archana Sharma*
Abstract: The aim of the paper is the
comparison of results obtained analytically and using simulation for the
model of a clinic. Queueing phenomena occurs in several reallife
situations. The applications of queuing theory for daily-life problems have
remained rather restricted. People believe that queuing analysis is too detailed and too mathematically complex to
allow for a direct practical application, other than for technical or
industrial purposes. In this paper, a queue model is considered which
simulate an abstract model of a clinic. Various performance measures of
queueing are studied taking a single server model cited in Deo(1979). This
model is redesigned to carry out performance measures for n-servers. On the
basis of this model, analytical results are compared with simulated results
for various performance measures .
Key
words:
Queueing model, arrival time, service time, utilization factor, idle time,
waiting time, queue length.
|
|
|
A parameter expansion with the
standard finite difference method of order two for the two-point Singularly
Perturbed Boundary Value Problems
J.O.
Fatokun and
P. Onumanyi*
Abstract: A parameter expansion with
the standard Finite Difference Method of order two is presented. An
economized polynomial in powers of the small parameter
e
appearing in the differential equation is obtained with the Finite
Difference Method.
The procedure can be applied
conveniently to handle two-point Singularly Perturbed Boundary Value
Problems. Two numerical examples are shown and the errors are compared with
that of the parameter expansion in the Tau method. The new procedure
competes favourably and can be applied to a wider range of problems with
non-polynomial coefficients.
Key words :
Parameter expansion,
Singularly Perturbed Boundary Value problems, Standard Finite Difference
Methods, Tau-method.
|
|
|
Modelling of gene frequencies
G.
Eswara Prasad# and
D. Nagarajan*
Abstract: Every human being can be
classified into one of the four blood groups O,A,B and AB. The inheritance
of these blood groups are controlled by three allelomorphic genes O, A, B of
which O is recessive to A and B. This paper analysis the homogeneity of
rural, urban matured and prematured babies blood groups and
examine whether the frequencies in each group are in accordance with
Bernstein's hypothesis and test whether the gene frequencies are the same in
all population.
Key
words : Blood
group, matured baby, prematured baby
|
|
|
Approximation of Functions By
(N, pna )
of a Conjugate Fourier Series
Anil
Kumar Dalela * Anil Goyal**
and
Sandeep Kumar Tiwari***
Abstract: Phlate
2 has proved the following theorem
on the order of approximation.
Theorem Let 0 <
b
< 1, 0 <
d £ p
if x be such a point
a | dF (w) |
£
= A tb
when 0 £
t £ d
then
snb(x)
- f (x) = O ( n
-b)
where
snb denotes
the (C,
b)
means of Fourier series.
The object of the present paper is to
establish the following theorem:-
Theorem:- If K (x, t)=du=O(1)
where {pan}
is non-negative, non increasing sequence of real numbers such that the
condition
u p'
a (u) du = O (pan)
where pa'(u)
= pa(u)
holds, then
|| tn (x)
- f (x) || = O (1/Pan)
*Department of Mathematics,
Govt. Model Science College (Autonomous),
(Centre of Excellence for Science),
Jabalpur-482001 (M.P.) INDIA **Department of Applied Mathematics,
Hitkarini College of Engineering & Technology, Jabalpur - 482001 (M.P.)
INDIA |
|
|
A new data structure for the
engine of computer games programming
Andrei
Kelarev1
Abstract:
Our research article gives a complete description of a new data structure
for the engine of computer games programming. We establish that every ideal
in this data structure has one generator. This property is convenient for
computer storage and manipulation of data. In fact we obtain a more general
technical result of independent interest. A complete proof of correctness
for this result is given in the paper.
|
|
|
On an extension of bilateral
generating function of Gegenbauer polynomials by group theoretic method
ARABINDA
DAS
Abstract: In this note, we have
obtained an extension of a bilateral generating relation of Gegenbauer
polynomials by group theoretic method. An application of our theorem is also
given here.
Key
words & Phrases :
Generating functions, Gegenbauer polynomials.
AMS Classification Code :
33A75
|
|
|
Home |