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Discrete Mathematical Research & Reviews:
Structures
STM JOURNALSScientific Technical Medical
(RRDMS) Jan - April 2014
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I take the privilege to present the print version for the [Volume 1 Issue (1)] of Research & Reviews:
Discrete Mathematical Structures. The intension of RRDMS is to create an atmosphere that
stimulates creativeness, research and growth in the area of Discrete Mathematical .
The development and growth of the mankind is the consequence of brilliant Research done by
eminent Scientists and Engineers in every field. RRDMS provides an outlet for Research findings
and reviews in areas of Discrete Mathematical found to be relevant for National and
International recent developments & research initiative.
The aim and scope of the Journal is to provide an academic medium and an important reference for
the advancement and dissemination of Research results that support high level learning, teaching and
research in the domain of Discrete Mathematical .
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their continued support and invaluable contributions and suggestions in the form of authoring write
ups/ reviewing and providing constructive comments for the advancement of the journals. With
regards to their due continuous support and co-operation, we have been able to publish quality
Research/Reviews findings for our customers base.
I hope you will enjoy reading this issue and we welcome your feedback on any aspect of the Journal.
Dr. Archana Mehrotra
Director
STM Journals
Structures
Structures
Structures
Director's Desk
STM JOURNALS
1. A New Approach to Find Non-simple Zero's of Functions Mohsen Jamali, Mehdi Delkhosh 1
2. Mass Transfer Process between the Fluid Flow and an Active Cylinder in Cross Flow J.M.P.Q. Delgado, M. Vázquez da Silva 6
3. On the Formula for Distribution of Prime NumbersLukasz Andrzej Glinka 16
4. A Mathematical Approach to Represent Uncertain Data using Evidence and Possibility TheoryMadhavi Kolukuluri, P. E. S. N. Krishna Prasad, B. D. C. N. Prasad 20
5. On The Pell Polynomýals Pn(x,s,q) and Tridiogonal Matrix Inci Gültekin, Yasemin Tasyurdu 24
ContentsResearch & Reviews: Discrete Mathematical Structures
RRDMS (2014)© STM Journals 2014. All Rights Reserved
Research & Reviews: Discrete Mathematical Structures
Volume 1, Issue 1
www.stmjournals.com
A New Approach to Find Non-simple Zero’s of Functions
Mohsen Jamali1, Mehdi Delkhosh
2*
Islamic Azad University, Bardaskan Branch, Department of Mathematics, Bardaskan, Iran
Abstract Finding acceptable approximation of zeros of even multiplicity of functions by the
prevalent method of numerical analysis is impossible or difficult. In this paper we
introduce the Intersecting Lines Method and its modified version applying to approximate zeros of even multiplicity of functions. We apply this method to approximate
relative extremum points of differentiable functions.
Keywords: Convex function, zero of even multiplicity of function, Newton-Raphson
method, relative extrema of function.
RRDMS (2014) © STM Journals 2014. All Rights Reserved
Research & Reviews: Discrete Mathematical Structures
Volume 1, Issue 1
www.stmjournals.com
Mass Transfer Process between the Fluid Flow and
an Active Cylinder in Cross Flow
J.M.P.Q. Delgado1*, M. Vázquez da Silva
2,3
1LFC – Laboratory of Building Physics, Civil Engineering Department, Faculdade de Engenharia da
Universidade do Porto, Rua Dr. Roberto Frias, s/n, 4200-465 Porto, Portugal 2Instituto Universitário da Maia - ISMAI, Av. Carlos Oliveira Campos,
Castelo da Maia, Portugal 3CEFT – Centro de Estudos de Fenómenos de Transporte, Faculdade de Engenharia, Universidade do
Porto, Rua Dr. Roberto Frias, s/n, 4200-465 Porto, Portugal
Abstract This paper presents a theoretical and numerical analysis applies to a cylinder in cross flow that is large in comparison with the inert particles, so that the bed may be treated
as a continuum. Fluid flow in the packed bed around the cylinder in cross flow was
assumed to follow Darcy’s law and the partial differential equation (PDE), resulting from a differential material balance on the solute, was analysed numerically over a
large range of the relevant hydrodynamic and geometrical parameters, in order to
obtain the concentration field near the soluble surface. A mathematical expression is proposed to describing the dependence between the value of the Sherwood number and
the relevant variables analysed, numerically. This expression obtained is very useful for different physical situations of practical interest, such as to estimate the
concentration contour plots or the contaminant distance given by the “continuous point
source” solution for two-dimensional solute transport.
Keywords: Mass transfer, diffusion, packed bed, numerical analyses, cylinder in
cross flow
*Author for Correspondence E-mail [email protected]; [email protected]
RRDMS (2014) © STM Journals 2014. All Rights Reserved
Research & Reviews: Discrete Mathematical Structures
Volume 1, Issue 1
www.stmjournals.com
On the Formula for Distribution of Prime Numbers
Lukasz Andrzej Glinka*
Science Editor, BSc. Physics, Member at American Research, Institute for
Policy Development, Poland
Abstract The detailed derivation of the distribution of prime numbers, the research result
originally presented in the 2013’ monograph Study of Analytic Number Theory:
Riemann’s Hypothesis and Prime Number Theorem with Addendum on Integer Partitions published with Cam- bridge International Science Publishing, is once
again presented in this paper with the purpose to give an insight to unfamiliar authors.
Keywords: analytic number theory, prime numbers, prime-counting function,
Riemann e q u a t i o n , distribution of prime numbers, Mellin transforms
RRDMS (2014) © STM Journals 2014. All Rights Reserved
Research & Reviews: Discrete Mathematical Structures
Volume 1, Issue 1
www.stmjournals.com
A Mathematical Approach to Represent Uncertain Data
using Evidence and Possibility Theory
Madhavi Kolukuluri1*, P. E. S. N. Krishna Prasad
2, B. D. C. N. Prasad
3
1JNTUK University College of Engineering Vizianagaram, India
1,3Prasad V. Potluri Siddhartha Institute of Technology, Vijayawada, India
Abstract The uncertainty involved in any problem solving situation is a result of some information deficiency. Information may be incomplete, in precise, not fully reliable,
and contradictory. In general, the lack of information may result in different types of
uncertainty. In this paper we discuss the statistical approach for representing uncertain data using evidence theory and possibility theory and applications to the
evidence and possibility approximation problems are briefly presented.
Keywords: Uncertainty, fuzzy measures, evidence theory, belief measure, plausibility
measure, possibility measure, necessity measure, dumpster’s combination.
RRDMS (2014)© STM Journals 2014. All Rights Reserved
Research & Reviews: Discrete Mathematical Structures
Volume 1 Issue 1
www.stmjournals.com
On The Pell Polynomıals Pn(x,s,q) and Tridiogonal Matrix
İnci Gültekin*, Yasemin Taşyurdu
Department of Mathematics, Faculty of Sciences, the University of Atatürk, Erzurum 25240, Turkey
Abstract
In this study, the Polynomial ( , , )nP x s q in the real variables x and s , called q -
Pell polynomials and its some properties are investigated. The some formulas for these
polynomials are derivated by matrices. Tridiagonal determinant of the matrix is given
by the relationship between the Polynomial ( , , )nP x s q .
Mathematics Subjet Classification: 11B37, 11B39
Keywords: Binet formulas, pell polynomials