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Category: Volume 27

Symmetry in Plane

1DISHA A. SHAH and 2A K DESAI
1Department of Mathematics, CU Shah University, Wadhwan City-363 030 Gujarat (India)
2Department of Mathematics, Gujarat University Ahmedabad-380 009 Gujarat (India)

ABSTRACT:

In this article we study symmetries of plane figures. We start with the definition of isometry of a metric space. For the better understanding of all the isometries of R2, we present the known results in form of a flow chart. And then using this idea of isometry, we define symmetry group of a subset of R2. With the use of this definition we determine symmetry groups of the capital Alphabets of English. We also describe the symmetry group of a regular n-gon which is known as
Dn. We also describe subsets of R2 where symmetry group is the cyclic group of order n which is denoted usually by Cn

KEYWORDS: Symmetry, Isometry. AMS subject classification: 52B15


In this article we study symmetries of plane figures. We start with the definition of isometry of a metric space. For the better understanding of all the isometries of R2, we...

Analysis of the problems faced by CWPDs using Fuzzy Cognitive Relational Maps (FCRMs) bimodel

S. UDAYAKUMAR and A. GURUMOORTHY
Department of Mathematics, AVVM Sri Pushpam College (Autonomous), Poondi, Thanjavur (India)

ABSTRACT:

In this paper the study of the problems faced by children with physical disabilities (CWPDs) is carried out using the Fuzzy Cognitive Relational Maps (FCRMs) bimodel.

KEYWORDS: Fuzzy Cognitive Maps (FCMs) model, Fuzzy Relational Maps (FRMs), Hidden Pattern, Fixed point, Directed graph and connection matrix, Children with Physical Disabilities (CWPDs), Fuzzy Cognitive Relational Maps (FCRMs) bimodels


In this paper the study of the problems faced by children with physical disabilities (CWPDs) is carried out using the Fuzzy Cognitive Relational Maps (FCRMs) bimodel.

On The Harmonic Summability of Double Fourier Series

SATISH CHANDRA and MANOJ SAXENA
Department of Mathematics S.M. Post-Graduate College, Chandausi – 244412 (India)
E-mail : satishchandra111960@gmail.com

ABSTRACT:

In this paper we have proved a theorem on the harmonic summability of double Fourier series, which generalizes various known results.

KEYWORDS: Harmonic summability, Double Fourier series. 2000 Mathematics subject classification : 40D05, 40E05, 40F05, 40G05, 42C05 and 42C10.


In this paper we have proved a theorem on the harmonic summability of double Fourier series, which generalizes various known results.

Groupoid Semirings Which Satisfy Special Identities

V. RAJESWARI and P. GAJIVARADHAN
Department of Mathematics, Pachaiyappa’s College, Chennai – 600 030 (India)

ABSTRACT:

In this paper we study groupoid semirings which satisfy special identities. Such study is new and innovative.

KEYWORDS: Groupoid semirings, semirings, groupoids, distributive lattices, chain lattice, P-groupoid semiring, Bol semiring, Alternative semiring.


In this paper we study groupoid semirings which satisfy special identities. Such study is new and innovative.

Modified Multivariable H-Function and its Fractional Integration via Pathway Operator

KAMINI GOUR and RASHMI SINGH
B.N.P.G. College Pacific University Udaipur, Raj. (India)

ABSTRACT:

In recent paper Saxena, Ram and Daiya1 developed fractional integration of Multivariable H-function via pathway operator. The object of this paper is to derive fractional integration of Modified Multivariable H-function via pathway operator

KEYWORDS: Multivariable H-Function


In recent paper Saxena, Ram and Daiya1 developed fractional integration of Multivariable H-function via pathway operator. The object of this paper is to derive fractional integration of Modified Multivariable H-function via pathway...

Vertex-edge Matrix of fuzzy Graphs

W.B. VASANTHA KANDASAMY and REGIN THANGARAJ
Department of Mathematics Indian Institute of Technology, Madras Chennai – 600 036 (India)

ABSTRACT:

In this paper for the first time two new notions in fuzzy graphs viz., vertex-edge matrix (v-e matrix) of a fuzzy graph and
dominant fuzzy graph graphs are introduced. Several properties enjoyed by them are enumerated. Some interesting results in this direction is obtained.

KEYWORDS: Fuzzy graphs, dominant fuzzy graphs, strict fuzzy graphs, vertex-edge matrix (v-e matrix) of a fuzzy graph.


In this paper for the first time two new notions in fuzzy graphs viz., vertex-edge matrix (v-e matrix) of a fuzzy graph and dominant fuzzy graph graphs are introduced. Several...

On Fuzzy Dot Γ- hypersub-near-algebras

1A. KALAIARASI, 2N. MEENAKUMARI and 3N. NAVANEETHA KRISHNAN
1,3Department of Mathematics, Kamaraj College, Thoothukudi (India)
2Department of Mathematics, A.P.C.Mahalaxmi College for Women, Thoothukudi (India)

Email: ranikalai1976@gmail.com

ABSTRACT:

In this paper we introduce Γ-hypernear-algebra and obtain some related properties. Also we introduce fuzzy dot Γ-hypersubnear- algebra and some properties are described

KEYWORDS: fuzzy


In this paper we introduce Γ-hypernear-algebra and obtain some related properties. Also we introduce fuzzy dot Γ-hypersubnear- algebra and some properties are described

Special Elements In Semigroups

K. JAYSHREE and P. GAJIVARADHAN
Department of Mathematics, Pachaiyappa’s College, Chennai – 600 030 (India)

ABSTRACT:

This paper defines the notion of special elements like Smarandache zero divisors, Smarandache units, Smarandache
idempotents and Smarandache nilpotnents for semigroups. This is the first time such study has been carried out on semigroups

KEYWORDS: Smarandache zero divisors, Smarandache units, Smarandache idempotents and Smarandache nilpotnents.


This paper defines the notion of special elements like Smarandache zero divisors, Smarandache units, Smarandache idempotents and Smarandache nilpotnents for semigroups. This is the first time such study has been carried...

Free Convection MHD flow between two vertical walls filled with a Porous matrix

N. C. OJHA1 and J. P. PANDA2
1Department of Mathematics, College of Engineering and Technology,, Bhubaneswar-751030 (Odisha), (India)
2Department of Mathematics, Veer Surendrasai university of Technology, Burla, (Odisha), (India)
Email-ncojha@gmail.com Email-jpanda123@gmail.com

ABSTRACT:

The proposed study analyzes the free convection flow between two vertical walls filled with a porous matrix in presence
of a transverse magnetic field considering the effect of both viscous and Darcy dissipation. The effect of pertinent parameters on the flow field is analyzed with help of graphs.

KEYWORDS: Free Convection


The proposed study analyzes the free convection flow between two vertical walls filled with a porous matrix in presence of a transverse magnetic field considering the effect of both viscous and...

Study of Semigroup Semirings Using chain lattices as Semirings

K. JAYSHREE and P. GAJIVARADHAN
Department of Mathematics, Pachaiyappa’s College, Chennai – 600 030 (India)

ABSTRACT:

In this paper we study semigroup semirings using chain lattices as semirings. Such study is new and innovative. Condition for these semigroup semirings to contain special elements like zero divisors, units and idempotents are obtained.

KEYWORDS: Semigroup semirings, Chain lattices, symmetric semigroup, zero divisors.


In this paper we study semigroup semirings using chain lattices as semirings. Such study is new and innovative. Condition for these semigroup semirings to contain special elements like zero divisors, units and...