Papers

Journal of Ultra Scientist of Physical Sciences - A
Voulume: 24
Issue: 1
Article No. 21
An Introduction of Exact Sequences and Exact Functor
GOVIND SAHU, BIRESH KUMAR GUPTA and M.R. ALONEY

Babulal Tarabai Inst. of Research and Tech. Sagar and TIT, Bhopal (INDIA)

Abstract :

Short exact sequence are fundamental objects in abelian categories, and one of the most basic ways to study an additive functor from one abelian category to another is to examine what it does to short exact sequences.

Keyword : Exact Sequences, Exact Functor
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Paper Download Count : 557
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Article No. 22
Weakly compatible maps of a complete metric space
ANIL RAJPUT*, PRADEEP KUMAR DWIVEDI**, RAMESH PRASAD AHARWAL *** and ARCHNA JAIN

**CSA, Govt. P.G. College, Sehore (INDIA)
***Millennium Group of Institution, Bhopal (INDIA)
***Govt. P.G. College Bareli (M.P.) (INDIA)
****Govt. P. G. College BHEL, Bhopal (INDIA)

Email: dranilrajput@hotmail.com and  ramesh_ahirwal_neetu@yahoo.com

Abstract :

The purpose of this paper is to prove a common fixed point theorem, from the class of compatible continuous maps to a larger class of maps having weakly compatible maps without appeal to continuity, which generalizes the results of Jungck3, Fisher1, Kang and Kim8, Jachymski2, and Rhoades9

Keyword : metric space, Weakly compatible maps
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Paper Download Count : 530
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Article No. 23
Cost benefit analysis of 2-out of 3: G system with correlated failure and repair times
P. GUPTA and MOHD SHAFI HAJAM

School of Studies in Statistics, Vikram University, Ujjain- 456010 (INDIA)

Abstract :

The paper analyses a stochastic model of a cold standby system consisting of three non identical units-A, B and C in which two units are operative at a time. A single repair facility is considered to repair a failed unit. The priority in operation is being given to unit A over to unit B and to unit B over unit C. In case of repair of failed units the priority is just reverse than operation. The failure and repair times of each unit are assumed to follow bivariate exponential distribution. Several measures of system effectiveness are obtained by using regenerative point technique.

Keyword : Redundant, Stochastic, priority unit, Cold standby, Regenerative point, Bivariate exponential, Reliability, MTSF, Expected uptime, Busy period, Cost benefit analysis
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Paper Download Count : 561
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Article No. 24
On the degree of approximation to a function by (N, p, q)k (C,1) means of its Fourier Laguerre Series
*V.N. TRIPATHI, **AMIT GUPTA and ***YOGESH PATHAK

*Associate Professor in Mathematics, SBPG College, Baragaon, Varanasi (INDIA)
**Reader in Mathematics, Sri Chhotu Ram Engineering and Technology, University Campus, Meerut (INDIA)
***Research Scholar in Mathematics, SBPG College, Baragaon, Varanasi (INDIA)

Abstract :

Superimposing the Nölund mean on Cesáro mean of order one, Singh and Khare3 have studied the degree of approximation to a function by Cesáro-Nörlund mean of its Fourier Laguerre series under certain conditions.

Keyword : Fourier Laguerre Series
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Paper Download Count : 561
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Article No. 25
A study of ( )- Almost Paracontact Metric Manifold-1
K. P. PANDEY1, ANIL GOYAL2 and BRAJENDRA TIWARI3

1Principal, Madhav Proudyogiki Mahavidyalaya, Zirnia, Narsinghgarh Road, Bhopal-462030, M.P. (INDIA)

2Head, Department of Applied Mathematics University Institute of Technology,Rajiv Gandhi Proudyogiki Vishwavidyalaya Bhopal-462036, M.P. (INDIA)

3Sr. Lecturer, Department of Applied Mathematics,
Radharaman Institute of Research and Technology,Ratibad Road Bhopal (INDIA)

E-mail: pandeykamleshwar@yahoo.com E-mail: anil_goyal03@gmail.com E-Mail: brajendra16.tiwari@gmail.com

Abstract :

The object of the present paper is to studies of special () para Sasakian manifold and its properties. We have shown that a recurrent special () para Sasakian manifold with η as 1-form of recurrence is Einstein manifold. Among others,

Keyword : Indefinite almost paracontact metric manifold, () para Sasakian manifold, 2-Killing vector fields
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Paper Download Count : 555
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Article No. 26
Applications of queueing process in economic literature with some models
QUAZZAFI RABBANI1, SANDEEP DIXIT2 and THAKUR VATS SINGH SOMVANSHI3

1Department of Mathematics, Integral University, Lucknow (INDIA)
2Department of Mathematics, V.S.S.D. College, Kanpur (INDIA)
3Department of Business Management, P.S.I.T., Kanpur (INDIA)

Abstract :

In economic applications queuing processes as a subject that have been overlooked by researchers. The objective of this paper is to give economic insights of the queuing applications that have been tried over the years, as well as to propose some new ways of tackling the problem

Keyword : Review, Poisson Process, Markov Process, Design and Control of queues.
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Paper Download Count : 568
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Article No. 27
Remarks on rg-closure, gpr-closure operators and gpr-separation axioms
P. GNANACHANDRA1 and P. THANGAVELU2

1Department of Mathematics, Aditanar College, Tiruchendur – 628216 (INDIA)
2Department of Mathematics, Karunya University, Coimbatore-641 114 (INDIA)
Email: pgchandra07@rediffmail.com 

Abstract :

Recently Jin Han Park8,9 et.al.[Further results on rg-continuity, Far East J. Math.Soc.2000 special volume part 11, 237-244 and On preserving rg-closed sets, East Asian Math.J.16(1) (2000),125-133] studied rg-continuity and some preservation theorems using rg-closure operator and Gnanambal et.al.[On gpr-continuous functions in topological spaces, Indian J.Pure.appl.Math.,30(6)(1999), 581-593] discussed gpr-continuous functions using gpr-closure operator. Quite Recently Balasubramanian4 et.al.[gpr-separation axioms-I, IJMA, 2(10) (2011), 2055-2067] discussed several types of gpr-separation axioms. The purpose of this paper is to investigate some properties of rg-closure operator, gpr-closure operator and gpr-separation axioms. The most important result that is proved in this paper is “ In a topological space every singleton set is rg-open” that leads to the investigation of some of the results due to Jin Han Park et. al. Gnanambal et. al. and separation axioms due to Balasubramanian et. al.

Keyword : rg-open, rg-closed, gpr-open, gprclosed MSC 2010: 54C10, 54D10.
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Paper Download Count : 645
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Article No. 28
Fuzzy Linguistic Cognitive Maps and its applications to Psychological Problems faced by Rural Students studying in Tamil Nadu City Colleges
1FR. K. AMAL S.J. and 2LILLIS THIVAGAR

1Loyola College, Nungambakkam, Chennai – 600 034 (INDIA)
2Professor, Dept. of Maths Madurai Kamaraj University Madurai – 625 21 (INDIA)
Email: mlthivagar@yahoo.co.in  Email: kamalsj@gmail.com

Abstract :

In this paper we for the first time introduce a new fuzzy dynamical system, viz. Fuzzy Linguistic Cognitive Maps (FLCM) model which works on ‘min’ and ‘max’ operations. We apply this new model to the problem of rural students in city colleges, especially taking / studying their psychological problems for it cannot be directly studied using supervised data.

This paper has three sections. Section one introduces this new model. Section two applies this problem to the psychological problems faced by the rural students studying in city colleges. The final section gives the use as well as the advantages of using the model.

Keyword : Fuzzy Linguistic Cognitive Maps
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Paper Download Count : 878
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Article No. 29
Fourier Series Expansions of ~H –Function
KULWANT KAUR AHLUWALIA1 and A.K. RONGHE2

1Mata Gujri Mahila Mahavidyalaya, Jabalpur, Pin-482001 M.P. (INDIA)
2S.S.L. Jain, P.G. College, Vidisha, Pin-464001 M.P. (India)
Email: kulwant.ahluwalia34@gmail.com, 

Abstract :

In this Paper we are evaluating sine and cosine series expansions of H –Function defined by Inayet Hussein4 and employ them to establish certain integral for H –Function

Keyword : Mathematics Subject Classification 2010, 33C45, 45B05.
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Paper Download Count : 581
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Article No. 30
Intuitionistic Fuzzy Weakly Generalized Irresolute Mappings
P. RAJARAJESWARI1 and R. KRISHNA MOORTHY2

1Department of Mathematics, Chikkanna Government Arts College, Tirupur-641 602, Tamilnadu (INDIA)
2Department of Mathematics, Kumaraguru College of Technology, Coimbatore-641 049, Tamilnadu (INDIA)
E-mail: p.rajarajeswari29@gmail.com 

Abstract :

The aim of this paper is to introduce and study the concepts of intuitionistic fuzzy weakly generalized irresolute mappings in intuitionistic fuzzy topological space. We investigate some of their properties.

Keyword : Intuitionistic fuzzy topology, intuitionistic fuzzy weakly generalized closed set, intuitionistic fuzzy weakly generalized open set, intuitionistic fuzzy weakly generalized irresolute mappings, intuitionistic fuzzy wT1/2 space and intuitionistic fuzzy wg q T space.
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Paper Download Count : 558
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