loading

Category: Issue 7

Dual Pell Quaternions

FÜGEN TORUNBALCI AYDIN and 2SALIM YÜCE*
1Yildiz Technical University Faculty of Chemical and Metallurgical Engineering Department of Mathematical Engineering Davutpasa Campus, 34220 Esenler, Istanbul, TURKEY
*2Yildiz Technical University Faculty of Arts and Sciences Department of Mathematics Davutpasa Campus, 34220 Esenler, Istanbul, TURKEY

Corresponding Author* E-mail: sayuce@yildiz.edu.tr

ABSTRACT:

In this paper, we defined dual Pell quaternions. Also, we investigated the relations between dual Pell quaternions which connected with Pell and Pell-Lucas numbers. Furthermore, we gave the Binet formulas and Cassini-like identities for these quaternions.

KEYWORDS: Pell number, Pell-Lucas number, Pell quaternion, dual Pell quaternion


Hall effects on MHD Convective flow of Visco-elastic fluid through a rotating porous channel

G. RAJU* and R. SIVA PRASAD
Department of Mathematics, S.K.University, Anantapur, Andhra Pradesh, India

Email of Corresponding Author: rajumaths2010@gmail.com; rsprasad_racharla@yahoo.co.in

ABSTRACT:

In this paper, we consider hydromagnetic convective flow of an electrically conducting visco-elastic fluid through a rotating porous channel taking hall current into account. The governing equations are framed using Brinkman model. The exact solutions of the velocity and the temperature distributions are evaluated analytically using Laplace transform technique and which consist of the both steady and transient states. Thought is centered on the physical character of the solutions, and the construction of the various kinds of boundary layers outward appearance on the plates. The ultimate steady state velocity and temperature distributions are numerically discussed for various values of the flow parameters. The shear stresses and the Nusselt number are tabulated and discussed.

KEYWORDS: Convective flows, heat source, heat transfer, porous medium, rotating channels and unsteady state flows


In this paper, we consider hydromagnetic convective flow of an electrically conducting visco-elastic fluid through a rotating porous channel taking hall current into account. The governing equations are framed...

Method of Construction of Group Divisible Designs

C.P.S. CHOUHAN1, M.S. DULAWAT2 and J.S. PARIHAR3
1Department of Mathematics & Statistics, Bhupal Nobles’ University, Udaipur, India
2Department of Mathematics & Statistics, Mohanlal Sukhadia University, Udaipur, India
394, D.K. Devsthali, Bhopal, India

Email of Corresponding Author: dulawat_ms@rediffmail.com & chandrapal.singh1982@gmail.com

ABSTRACT:

In this paper, we have presented a new method of construction of regular group divisible design. We also characterized a particular design of the series v = b =4 t+3, r=k+2 t+1, = t viz., v=b= 31, r=k=15, = 7 , considering nice block structure.

KEYWORDS: BIB design; GD design. 2010 Mathematics subject classification: 05B05, 62K10


In this paper, we have presented a new method of construction of regular group divisible design. We also characterized a particular design of the series v = b =4 t+3,...

Method of Construction of Triangular Designs

C.P.S. CHOUHAN1, M.S. DULAWAT2 and J.S. PARIHAR3
1Department of Mathematics & Statistics, Bhupal Nobles’ University, Udaipur, India
2Department of Mathematics & Statistics, Mohanlal Sukhadia University, Udaipur, India
394, D.K. Devsthali, Bhopal, India

Email of Corresponding Author: dulawat_ms@rediffmail.com & chandrapal.singh1982@gmail.com

ABSTRACT:

This paper describes a new method of construction of triangular designs. Consequently, a new series of truly self-dual triangular design is obtained.

KEYWORDS: BIB design; GD design. 2010 Mathematics subject classification: 05B05, 62K10.


This paper describes a new method of construction of triangular designs. Consequently, a new series of truly self-dual triangular design is obtained.

Inflationary Scenario in Spatially Homogeneous Bianchi Type IX Space-time with Flat Potential in General Relativity

RAJ BALI1 and LAXMI POONIA2
1CSIR Emeritus Scientist Department of Mathematics, University of Rajasthan, Jaipur-302004 (India)
2Department of Mathematics, ManipalUniversity, Jaipur India

Email of Corresponding Author: balir5@yahoo.co.in

ABSTRACT:

Inflationary scenario in spatially homogeneous Bianchi Type IX space-time is investigated. To get the deterministic result, we have considered the potential V(ø) is constant and the scale factor R ~ eHt where H is Hubble constant. We findthat spatial volume (R3) increases exponentially. Thus inflationary scenario exists in Bianchi Type IX space time. The Higgs field decreases slowly. The expansion () is constant, shear () is zero and deceleration parameter (q) = – 1 which indicate that the model represents de-Sitter universe. The model also gives accelerating phase of the universe

KEYWORDS: Bianchi Type IX Space-time, Inflationary Scenario, Flat Potential


Inflationary scenario in spatially homogeneous Bianchi Type IX space-time is investigated. To get the deterministic result, we have considered the potential V(ø) is constant and the scale factor R...

A Note on Fuzzy Pairwise R0 Bitopological Spaces

MANJARI SRIVASTAVA
Department of Mathematics V.S.S.D.P.G. College, Kanpur, India

Email of Corresponding Author: manjarivssd@gmail.com

ABSTRACT:

The purpose of this paper is to introduce the notion of fuzzy pairwise R0 axiom in fuzzy bitopological spaces and study some of its properties. Several interesting results have been obtained viz. it satisfy hereditary, good extension, productive and projective properties

KEYWORDS: Fuzzy R0 topological space, Fuzzy pairwise R0 bitopological spaces, Hereditary property, Good extension property, Productive and projective properties


The purpose of this paper is to introduce the notion of fuzzy pairwise R0 axiom in fuzzy bitopological spaces and study some of its properties. Several interesting results have...

Level operators Over Bipolar Intuitionistic M- Fuzzy Group and Anti M- Fuzzy Group

K. GUNASEKARAN*, S. NANDAKUMAR** and D. GUNASEELAN*
*Ramanujan Research Centre, PG and Research Department of Mathematics, Government Arts College (Autonomous), Kumbakonam-612001, Tamilnadu, India

** PG and Research Department of Mathematics, Government Arts college Ariyalur

E-Mail of Corresponding Author :-gngseelan86@gmail.com

ABSTRACT:

In this paper the concept of a Bipolar intuitionistic M fuzzy group and anti M fuzzy group is a new algebraic structure of a bipolar intuitionistic M fuzzy subgroup of a M fuzzy group and anti M fuzzy group are defined and related operators and level operators are investigated. The purpose of the study is to implement the fuzzy set theory and group theory of bipolar intuitionistic M fuzzy group and anti M fuzzy group. The relation between operation of level operators of bipolar intuitionistic M fuzzy group and bipolar intuitionistic anti M fuzzy group are established.

KEYWORDS: Bipolar fuzzy set, Bipolar M fuzzy group, bipolar anti M fuzzy group, bipolar intuitionistic M fuzzy group, bipolar intuitionistic anti M fuzzy group.


In this paper the concept of a Bipolar intuitionistic M fuzzy group and anti M fuzzy group is a new algebraic structure of a bipolar intuitionistic M fuzzy subgroup...