Research & Reviews: Discrete Mathematical Structures
Volume 7, Issue 2 (2020)
Published
Table of contents
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Is the Universe an Illusion?: A review article shedding light upon one of the mind boggling paradoxes
Abstract: We use the Russell’s paradox to dive into the philosophical aspect of life that mathematically supports the philosophical statement “We are all just a thought”. Just as the wind carries the fragrance of its source, so does this article. We mention how the Zermelo-Fraenkel Set Theory came into existence and also its axioms (two of them in detail). We have also mentioned two other paradoxes, which are similar to the …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 2, 2020 · pp. 1–5 Read article
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Abstract Fuzzy Function
Abstract: The grading of the set is studied by L. A. Zadeh in 1965. The set is defined by the membership function. Fuzzy set and fuzzy logic are the two domain defined as the discrete mathematical structure. Its discreteness is associated with the fundamental axioms of the classical set theory and its operation. This paper defines the fuzzy function and its applications.Keywords: Fuzzy Set, Fuzzy Logic, Fuzzy Function, Set Theory, Membership …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 2, 2020 · pp. 10–13 Read article
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An Application of Fractional Calculus in L-R and C-R Circuit
Abstract: In this paper, we proposed a Fractional differential equation for the electrical L-R and C-R Circuit and obtained the solution in the form of Mittag-Leffler function.Keywords: Circuit analysis, L-R and C-R circuit, Fractional differential equation, Riemann-Liouville Fractional derivative, Laplace transform, Inverse Laplace transform.Mathematical Subject Classification: -26A33, 33E12, 44A10Cite this Article: Laxmi Morya, Manoj Sharma, Rajshree Mishra. An Application of Fractional Calculus in L-R andC-R Circuit. Research & Reviews: Discrete Mathematical …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 2, 2020 · pp. 14–17 Read article
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An Ecology Equation
Abstract: The conservation of ecology is reviewed by an equation. Ecology is studied in this paper via mathematics. This paper presents an equation of ecology. The objective of this paper is to solve the problems of nature by the mathematical concept. The mathematical transformation of natural phenomenon for analyzing the hidden rules of the nature is the key objective of this paper. The theory of sets, function and its application based …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 2, 2020 · pp. 18–20 Read article
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On Searching the New Chemical Element by Prime Numbers
Abstract: This paper presents a direction for searching the new chemical element by prime number. Every chemical element is defined by atomic number and weight. These comprised with the set of natural numbers. The prime number is the subset of natural number. We define the new mapping for chemical element and prime number in this paper. Beryllium is taken as an example to prove the proposed theory.Keywords: Chemical Element, Prime Number, …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 2, 2020 · pp. 21–23 Read article
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PKC based on DLP
Abstract: We propose a new representation of Discrete Logarithm Problem (DLP) as and use this to design a Public Key Cryptosystem (PKC). The problem to find the index of the primitive element of the cyclic group is referred as the DLP. This paper sets the discrete structure of the finite field for introducing the securer PKC than the existed.Key Words: DLP, PKC, Cyclic Group, Primitive Element, Finite Field.Cite this Article: Sunil …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 2, 2020 · pp. 28–30 Read article
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Prevention of Spreading COVID-19 by Using a Mathematical Expression and controlling suggestion A Review
Abstract: COVID-19 that is a strain of coronavirus first broke out in Wuhan, China in December 2019 and has since spreading in various countries.we observed that it is very tough time for everyone.COVID-19 is an infectious disease which is caused by a newly discovered coronavirus.It affects the people through different ways.COVID-19 is very risky for older age people and for pre-existing medical condition peoples. This review paper is prepared for the …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 2, 2020 · pp. 6–9 Read article