Mathematics Interdisciplinary ResearchMathematics Interdisciplinary Research
https://mir.kashanu.ac.ir/
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https://mir.kashanu.ac.ir/
Feed provided by Mathematics Interdisciplinary Research. Click to visit.Optimization of Iran’s Production in Forouzan Common Oil Filed based on Game Theory
https://mir.kashanu.ac.ir/article_110785_12957.html
One of Iran's problems in the production of common oil and gas fields is unequal extraction‎. ‎Therefore‎, ‎the production of common oil and gas fields in onshore and offshore is essential for Iran‎, ‎so this must carefully monitor‎, ‎which can be considered as a game-liked approach‎, ‎that each player tries to increase its payoff‎. ‎Therefore‎, ‎the purpose of this study is to apply game theory in examining Iran's approaches to extracting from common oil fields‎. ‎For this purpose‎, ‎the present study seeks to design a mathematical model to optimize the production of Iran against a competitor using a game‎. ‎Since the proposed model is in the field of mathematical modeling‎, ‎the research strategy is a case study‎. ‎Meanwhile‎, ‎the data-gathering tool is descriptive‎. ‎The results showed that Iran's equilibrium in Forouzan oil field is cooperation‎, ‎and the equilibrium of Saudi Arabia is non-cooperation‎. ‎Finally‎, ‎the executive policies based on research results presented‎.Mon, 31 Aug 2020 19:30:00 +0100An ECDLP-Based Verifiable Multi-Secret Sharing Scheme
https://mir.kashanu.ac.ir/article_110206_12957.html
‎‎Secret sharing is an important issue in cryptography which has many applications‎. ‎In a secret sharing scheme‎, ‎a secret is shared by a dealer among several participants in such a way that any authorized subset of participants can recover the secret by pooling their shares‎. ‎Recently‎, ‎several schemes based on elliptic curves and bilinear maps have been presented‎. ‎Some of these schemes need a secure channel‎, ‎there are restrictions on the number of secrets‎, ‎or the participants or the dealer are unable to verify the validity of the shares‎. ‎In this paper‎, ‎we present a new verifiable $(t‎, ‎n)$-threshold multi-secret sharing scheme based on elliptic curves and pairings that does not have any of the above restrictions‎. ‎The hardness of a discrete logarithm problem on elliptic curves guarantees the security of the proposed scheme‎.Mon, 31 Aug 2020 19:30:00 +0100The Non-Coprime Graph of Finite Groups
https://mir.kashanu.ac.ir/article_87414_0.html
The non-coprime graph Π_G of a finite group G is a graph with the vertex set G-{e}, where two distinct vertices u and v are adjacent if they have non-coprime orders. In this paper, the main properties of the Cartesian and tensor product of the non-coprime graph of two finite groups are investigated. We also describe the non-coprime graph of some special groups including the dihedral and semi-dihedral groups. Some open questions are also proposed.Fri, 30 Nov 2018 20:30:00 +0100New Criteria for Univalent, Starlike, Convex, and Close-to-Convex Functions ...
https://mir.kashanu.ac.ir/article_110783_12957.html
In the present paper, we introduce and investigate three interesting superclasses SD, SD* and KD of analytic, normalized and univalent functions in the open unit disk D. For functions belonging to these classes SD, SD* and KD, we derive several properties including (for example) the coefficient bounds and growth theorems. The various results presented here would generalize many well known results. We also get a new univalent criterion and some interesting properties for univalent function,starlike function,convex function and close-to-convex function. Many superclasses which are already studied by various researchers are obtained as special cases of our two new superclasses.Mon, 31 Aug 2020 19:30:00 +0100Golden Ratio: The Mathematics of Beauty
https://mir.kashanu.ac.ir/article_89245_0.html
‎Historically, mathematics and architecture have been associated with one another. Ratios are good example of this interconnections. The origin of ratios can be found in nature, which makes the nature so attractive. As an example, consider the architecture inspired by flowers which seems so harmonic to us. In the same way, the architectural plan of many well-known historical buildings such as mosques and bridges show a rhythmic balance which according to most experts the reason lies in using the ratios. The golden ratio has been used to analyze the proportions of natural objects as well as building’s harmony. In this paper, after recalling the (mathematical) definition of the golden ratio, its ability to describe the harmony in the nature are discussed. When teaching mathematics in the schools, one may refer to this interconnection to encourage students to feel better with mathematics and deepen their understanding of proportion. At the end, the golden ratio has been statistically examined using its first 100000 decimal digits to show that the golden ratio decimals can be used as a random number generator.Tue, 18 Jun 2019 19:30:00 +0100Numerical Solution of System of Nonlinear Integro-Differential Equations Using Hybrid of ...
https://mir.kashanu.ac.ir/article_93285_12957.html
In this paper, numerical techniques are presented for solving system of nonlinear integro-differential equations. The method is implemented by applying hybrid of Legendre polynomials and Block-Pulse functions. The operational matrix of integration and the integration of the cross product of two hybrid function vectors are derived in order to transform the system of nonlinear integro-differential equations into a system of algebraic equations. Finally, the accuracy of the method is illustrated through some numerical examples and the corresponding results are presented.Mon, 31 Aug 2020 19:30:00 +0100On n-A-con-cos Groups and Determination of some 3-A-con-cos Groups
https://mir.kashanu.ac.ir/article_102140_0.html
We introduced the notion of 2-A-con-cos group in [5]. In this paper, we generalize this concept to n-A-con-cos group, also we mention some properties of it and determine all finite abelian groups with at most 2 direct factors and dihedral groups, D2n where n has at most 2 prime factors which are 3-A-con-cos.Sat, 25 Jan 2020 20:30:00 +0100DE Sinc-Collocation Method for Solving a Class of Second-Order Nonlinear BVPs
https://mir.kashanu.ac.ir/article_107701_0.html
In this work, we develop the Sinc-collocation method coupled with a Double exponential transformation for solving a special class of nonlinear second order multi-point boundary value problems (MBVP). This method attains a convergence rate of exponential order. Four numerical examples are also examined to demonstrate the efficiency and functionality of the newly proposed approach.Sun, 24 May 2020 19:30:00 +0100On the Entropy Rate of a Random Walk on t-Designs
https://mir.kashanu.ac.ir/article_110784_0.html
In this paper, a random walk on $t$-designs are considered. We assign a weight to each block and walk randomly on the vertices with a probability proportional to the weight of blocks. This stochastic process is a Markov chain. We obtain a stationary distribution for this process and compute its entropy rate. It is seen that, when the blocks have the same weight, the uniform distribution on the vertices is a stationary distribution and the entropy rate depends only on the number of vertices.Fri, 21 Aug 2020 19:30:00 +0100Gordon-Scantlebury and Platt Indices of Random Plane-oriented Recursive Trees
https://mir.kashanu.ac.ir/article_110787_0.html
‎For a simple graph G‎, ‎the Gordon-Scantlebury index of G is equal to the number of paths of length two in G‎, ‎and the Platt index is equal to the total sum of the degrees of all edges in G‎. ‎In this paper‎, ‎we study these indices in random plane-oriented recursive trees through a recurrence equation for the first Zagreb index‎. ‎As n ∊ infty‎, ‎the asymptotic normality of these indices are given‎.Mon, 24 Aug 2020 19:30:00 +0100