Research & Reviews: Discrete Mathematical Structures
Volume 1, Issue 1 (2014)
Published
Table of contents
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A New Approach to Find Non-simple Zero’s of Functions
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.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 1, 2014 · pp. 1–5 Read article
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On the Formula for Distribution of Prime Numbers
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.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 1, 2014 · pp. 16–19 Read article
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A Mathematical Approach to Represent Uncertain Data using Evidence and Possibility Theory
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.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 1, 2014 · pp. 20–23 Read article
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On The Pell Polynomıals Pn(x,s,q) and Tridiogonal Matrix
Abstract: In this study, the Polynomial pn(x,s,q) in the real variables x and y , 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 pn(x,s,q).
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 1, 2014 · pp. 24–27 Read article
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Mass Transfer Process between The Fluid Flow and An Active Cylinder In Cross Flow
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 …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 1, 2014 · pp. 6–15 Read article