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Category: Volume 20

A result on superstability

Kiran Shrivastavau00a0
Department of Mathematics, S.N.P.G.G., College, Bhopal (INDIA)

ABSTRACT:

In this paper it is shown that a binary function on a normed linear space that satisfies a condition which implies approximate associativity, is superstable.

KEYWORDS: Normed space, associativity, superstability.


In this paper it is shown that a binary function on a normed linear space that satisfies a condition which implies approximate associativity, is superstable.

An Efficient Step Size For BFGS

Azfi Zaidi Mohammad Sofi (azfizaidi@yahoo.com)
Department of Mathematics, Facutly of Science and Technology, University Malaysia Terengganu (UMT) (Malaysia)
Mustafa Mamat (mus@umt.edu.my)
Department of Mathematics, Facutly of Science and Technology, University Malaysia Terengganu (UMT) (Malaysia)
Ismail Mohd (ismail@umt.edu.my)
Department of Mathematics, Facutly of Science and Technology, University Malaysia Terengganu (UMT) (Malaysia)
Yosza Dasril (yosza@utem.edu.my)
Faculty of Electronics and Computer Engineering University Teknikal Melaka (UteM) Melaka, Malaysia

ABSTRACT:

In this paper we introduced what we are calling a combination of step size of Broyden-Fletcher-Goldfarb-Shanno (CSS-BFGS) to solve unconstrained optimization problem. Analytically, we have proved that the algorithm is superlinearly convergence. The numerical result of CSS-BFGS was shown at the end of this paper. The result shown that in term of iteration number ni and function evaluation nf, our alternative step size is more effective than the original BFGS algorithm.

KEYWORDS: u00a0exact line search, step size, BFGS, differebtiable, superlinearly convergence


In this paper we introduced what we are calling a combination of step size of Broyden-Fletcher-Goldfarb-Shanno (CSS-BFGS) to solve unconstrained optimization problem. Analytically, we have proved that the algorithm...

Love wave scattering due to a surface impedance in the surface of a vertical discontinuous surface layer

S. Mudgalu00a0
Department of Mathematics, BRCM College of Engineering and Technology, Bahal (Bhiwani), Haryana (INDIA)

ABSTRACT:

The scattering of Love waves due to a surface impedance in the surface of a vertical discontinuous surface layer is studied in the present paper. The solution of the problem is obtained when the width of the vertical disconti-nuity is very small. The reflected, transmitted and scattered waves are obtained by using the method of Fourier transformation and Wiener-Hopf technique. The numerical computations are carried out for the amplitude of the scattered waves versus wave number. There is a sharp fall of the amplitude with slight increase in the wave number.

KEYWORDS: Love waves, Fourier analysis, scattering, amplitude, wave number


The scattering of Love waves due to a surface impedance in the surface of a vertical discontinuous surface layer is studied in the present paper. The solution of the...

On Kl (E, 1) summability of fourier series

V.N. Tripathi
Department of Mathematics S.B.P.G. College Baragaon, Varanasi, U.P. (India)u00a0
Sonia Palu00a0
Department of Mathematics S.B.P.G. College Baragaon, Varanasi, U.P. (India)u00a0

ABSTRACT:

The Present paper deals with a theorem on Kl (E, 1) Summability of fourier series under general conditions.

KEYWORDS: On Klu00a0(E, 1) , summability , fourier seriesu00a0


The Present paper deals with a theorem on Kl (E, 1) Summability of fourier series under general conditions.

Analysis of a Predator-Prey Model with Intraspecies Coexistence

M.H. Rahmani Doust (mh.rahmanidoust@gmail.com)
Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore – 5700 06 (Karnataka (INDIA)
R. Rangarajan (rajra63@gmail.com)
Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore – 5700 06 (Karnataka (INDIA)
M. N. Modoodi (mnmodoodi@gmail.com)
Department of Studies in Environmental Science, University of Mysore- 5700 06 (INDIA)

ABSTRACT:

This paper deals with Lotka-Volterra predator-prey equations of two species. Moreover, we make assumption that, there exists coexistence within each species separately. The methods which can be used in this context are vector field, linearization and Lyapanov’s second. For each equilibrium point, stable and unstable manifolds will be determined.

KEYWORDS: Lotka-Volterra Model, Predator-Prey Equations, Intraspecies Coexistence


This paper deals with Lotka-Volterra predator-prey equations of two species. Moreover, we make assumption that, there exists coexistence within each species separately. The methods which can be used in...

Convergence of orthonormal wavelets

R.C. Meghwalu00a0
Department of Mathematics, Govt. P.G. College, Neemuch – 458441 (INDIA)

ABSTRACT:

The aim of this paper is to study the convergence of mother wavelet specially shanon’s wavelet when bounded variation is impose on it.

KEYWORDS: Wavelets, mother Wavelets, Father Wavelets, ortho normal Wavelets, Shanon Wavelets


The aim of this paper is to study the convergence of mother wavelet specially shanon’s wavelet when bounded variation is impose on it.

Dynamical systems for metric spaces

Bharathi K.
Department of Mathematics, Gulbarga, University, Gulbarga (INDIA)
Shabbir A. (shabirshahir@yahoo.co.in)
Department of Mathematics, Gulbarga, University, Gulbarga (INDIA)

ABSTRACT:

The present paper is an extension work of the Barnsley1 and Devaney3. We introduce Poincare and Shift maps, furthermore, we establish and proved some theorems for topological sensitivity and global stability. 

KEYWORDS: Global stability, Metric spaces, Poincare map, AMS mathematical subject classification 45 B10.


The present paper is an extension work of the Barnsley1 and Devaney3. We introduce Poincare and Shift maps, furthermore, we establish and proved some theorems for topological sensitivity and global...

Harmonic Univalent Functions with Fixed Point and Negative Coefficients

K. K. Dixit
Department of Mathematics, Janta College, Bakewar, Etawah – 206124
Saurabh Porwalu00a0
Department of Mathematics, Janta College, Bakewar, Etawah – 206124

ABSTRACT:

Let and denote the class of functions , where and that map the unit disc onto starlike and convex domains respectively satisfying. In this paper, sharp coefficient estimates, distortion properties for functions in and have been obtained. This leads to extreme points.

KEYWORDS: Harmonic , Univalent , Functions, Negative Coefficientsu00a0


Let and denote the class of functions , where  and that map the unit disc onto starlike and convex domains respectively satisfying. In this paper, sharp coefficient estimates, distortion properties for functions...

Reliability analysis for two-unit system with ccs failures and human errors

G.Y. SAGAR (gysagar@gmail.com)
Department of Operations Research and Statistical Quality Control, Sri Krishnadevaraya University, Post – Graduate Centre, Kurnool – 518002 (A.P.) (INDIA)
S.M. VERMA
Department of Operations Research and Statistical Quality Control, Sri Krishnadevaraya University, Post – Graduate Centre, Kurnool – 518002 (A.P.) (INDIA)
Y.R. REDDY
Department of Operations Research and Statistical Quality Control, Sri Krishnadevaraya University, Post – Graduate Centre, Kurnool – 518002 (A.P.) (INDIA)

ABSTRACT:

The present paper deals with the reliability analysis of two-unit identical system, which is affected by common cause shock (CCS) failures and human errors along with individual failures. The influence of CCS failures in addition to human errors is emphasized in the reliability analysis of a system. Expressions for system reliability and mean time between failures (MTBF) are developed when the system is affected by CCS failures as well as human errors. Also, these reliability indices are compared in the presence of CCS failures as well as human errors with that of the situation when CCS failures are affecting the system. Reliability Plots are shown and Numerical illustration of MTBF results is also presented to support the model.

KEYWORDS: Reliability, Mean time Between Failurs (MTBF), Common Cause Shock Failures, Human Errors


The present paper deals with the reliability analysis of two-unit identical system, which is affected by common cause shock (CCS) failures and human errors along with individual failures. The...

Evolution and Comparison of Machine learning Classifiers with impact Result

Anil Rajput
Department of Mathematics and Computer Application Sadhu Vaswani College, Bhopal (INDIA)
Ramesh Prasad Aharwal
Department of Mathematics, Govt. P.G. College Bareli Distt. Raisen (INDIA)
Amit Dutta
UTD., Department of Computer Science, Barkatullah University, Bhopal (INDIA)

ABSTRACT:

Machine learning classifiers are mostly used for prediction of system behavior ,Evolution and comparison of different machine learning classifiers used in Data Mining practical in health datasets, how to select the most suited data mining algorithm for a medical application. In this paper we used three medical datasets for our experiment. Experiment performed on WEKA 3.5.7 software which is a newest version of WEKA software.

KEYWORDS: Classification, Data Mining, WEKA, J48, Nau00efve Bays


Machine learning classifiers are mostly used for prediction of system behavior ,Evolution and comparison of different machine learning classifiers used in Data Mining practical in health datasets, how to...