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Current Issue                           Vol.1. Issue.1.2013.,

KPR Research Article


A COMMON FIXED POINT THEOREM IN COMPLEX VALUED B-METRIC SPACES

K.P.R. RAO*, P.RANGA SWAMY, J.RAJENDRA PRASAD
*Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar-522 510, Guntur, (A.P.), India.
Abstract

In this paper, we give a common fixed point theorem for four maps in complex valued b-metric spaces and obtain a generalization of theorem of R.K.Verma and H.K.Pathak

Vol.1. Issue.1.,2013     Page No:1-8                                           Download PDF                    
Uma Research Article

REMARKABLE OBSERVATIONS ON THE HYPERBOLA 1

M.A.GOPALAN, S.VIDHYALAKSHMI, J.UMARANI*
Department of Mathematics, Shrimati Indira Gandhi College, Trichy

Abstract
The binary quadratic equation 1is considered and a few interesting properties among the solutions are presented. Employing the integral solutions of the equation under consideration, a few special pythogorean triangles are obtained.

Vol.1. Issue.1.,2013     Page No: 9-12                                          Download PDF   

Thiru Research Article

ON HOMOGENEOUS CUBIC EQUATION WITH THREE UNKNOWNS
12
M.A.GOPALAN, S. VIDHYALAKSHMI, N.THIRUNIRAISELVI*
Department of Mathematics, Shrimati Indira Gandhi College, Tiruchirappalli
Abstract
The homogeneous cubic equation with three unknowns represented by the diophantine equation 12  is analyzed for its patterns of non – zero integral solutions. A few interesting properties among the solutions are presented.
Vol.1. Issue.1.,2013     Page No: 13-15                                          Download PDF   
Manjula Research Article

ON THE HOMOGENEOUS BI-QUADRATIC EQUATION WITH FIVE UNKNOWNS
13

M.A.GOPALAN, S. VIDHYALAKSHMI, M.MANJULA*
Department of Mathematics, Shrimati Indira Gandhi College,Tiruchirappalli

Abstract

The biquadratic equation with 5 unknown given by 13is analyzed for its patterns of non – zero distinct integral solutions. A few interesting relations between the solutions and special polygonal numbers are exhibited.

Vol.1. Issue.1.,2013     Page No: 16-21                                        Download PDF  

*Page No 22 Intentionally left as blank
Sumathi Research Article

ON THE CUBIC EQUATION WITH EIGHT UNKNOWNS eq

M.A.GOPALAN, G.SUMATHI, S.VIDHYALAKSHMI

Department of Mathematics, SIGC, Trichy,
Abstract

We obtain infinitely many non-zero octuple (x, y, z,w,U,V, P,Q) satisfying the cubic equation with eight unknown’s v. Various interesting
relations between the solutions, Polygonal numbers, Pyramidal
numbers, and Centered Pyramidal numbers are obtained.
Vol.1. Issue.1.,2013     Page No:23-29                                           Download PDF
Lakshmi Research Article

A SPECIAL TRANSCENDENTAL EQUATION WITH FIVE UNKNOWNS
14

S.VIDHYALAKSHMI, K.LAKSHMI*, M.A.GOPALAN
Department of Mathematics, Shrimati Indira Gandhi College, Trichy

ABSTRACT
The transcendental equation with five unknowns represented by the diophantine equation 14 is analyzed for its patterns of non-zero distinct integral solutions and different methods of integral solutions are illustrated.

Vol.1. Issue.1.,2013     Page No:30-37                                         Download PDF
Premalatha Research Article

ON THE HOMOGENEOUS QUADRATIC EQUATION WITH THREE UNKNOWNS eq

M.A.GOPALAN, S. VIDHYALAKSHMI, E.PREMALATHA*
Department of Mathematics, Shrimati Indira Gandhi College, Tiruchirappalli

Abstract

The ternary quadratic Equation with 3 unknown given by eq

is analyzed for its patterns of non – zero distinct integral solutions. A few interesting relations between the solutions and special polygonal numbers are exhibited.

Vol.1. Issue.1.,2013     Page No:38-41                              Download PDF

Research Article

A NOTE ON ANTI Q-FUZZY KU-SUBALGEBRAS AND HOMOMORPHISM OF KU- ALGEBRAS

P.M.SITHAR SELVAM et al
Department of Mathematics, PSNA College of Engineering and Technology, Dindigul-624 622, Tamilnadu , India.

        Abstract
In this paper, we introduce the concept of Anti Q-fuzzy KU-subalgebras of KU-algebras. Also we discussed few results of KU-ideal of KU-algebra under homomorphism and anti homomorphism and some of its properties. we proved that if µ and d are anti Q- fuzzy KU- ideals in  KU – algebra X, then µ x d is an anti Q- fuzzy KU-ideal in X x X and few more results in Cartesian product.

Vol.1. Issue.1.,2013     Page No:42-49                                  Download PDF

Research Article

PERFORMANCE OF DISTANCE CLASSIFIER IN PATTERN RECOGNITION
NUNNA SRINIVASA RAO
Department of Statistics, Andhra Loyola College (Autonomous), Vijayawada

ABSTRACT
1.
Vol.1. Issue.1.,2013     Page No:50-54                                  Download PDF