Mathematics Interdisciplinary Research
https://mir.kashanu.ac.ir/
Mathematics Interdisciplinary Researchendaily1Sat, 01 Dec 2018 00:00:00 +0330Sat, 01 Dec 2018 00:00:00 +0330The Non-Coprime Graph of Finite Groups
https://mir.kashanu.ac.ir/article_87414.html
The non-coprime graph &Pi;_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.On the Maximal Graph of a Commutative Ring
https://mir.kashanu.ac.ir/article_111486.html
Let R be a commutative ring with nonzero identity. Throughout this paper we explore some properties of two subgraphs of the maximal graph of R.Existence solution of a Biharmonic-type Kirchhoff-Schrödinger-Maxwell system
https://mir.kashanu.ac.ir/article_111954.html
This article addresses the following biharmonic type of the Kirchhoff-Schr&ouml;dinger-Maxwell system;∆2 w &minus; (a1 +b1&int;RN |&nabla;w| 2 )∆w + &eta;&psi;w = q(w)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; in RN,&minus;∆&psi; = &eta;w2 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; &nbsp; in RN, (bKSM)in which a1 ,b1 and &eta; are fixed positive numbers and q is a continuous real valued function in R. We are going to prove the existence solution for this system via variational methods, delicate cut-off technique and Pohozaev identity.On the Riemann-Stieltjes Integral
https://mir.kashanu.ac.ir/article_111967.html
This study contributes to the theory of Riemann-Stieltjes integral. We prove that if all continuous piecewise linear functions are Riemann-Stieltjes integrable with respect to a bounded integrator &alpha; : [a,b] &rarr; R, then &alpha; must be of bounded variation on [a,b]. We also provide some other consequences.On Ordered Regular Semigroups with a Zero Element
https://mir.kashanu.ac.ir/article_112049.html
&nbsp;In this paper, we study several conditions on ordered regular semigroups containing a zero element. In particular, we consider the natural and semigroup order and their connections to the properties of being principally ordered, Dubreil-Jacotin and BZS. We study also the set of biggest inverses in such a semigroup and we characterize subalgebras generated by two comparable idempotents.Applying Symmetries to Solving a Nonlinear Acoustics Beam Model
https://mir.kashanu.ac.ir/article_112051.html
For an important nonlinear acoustic model, the (2+1)-dimensional Zabolotskaya&ndash;Khokhlov(ZK), a symmetry group and the optimal systems of the symmetry subalgebra have been introduced. Then related symmetry reductions and similarity solutions have been presented via two-stage using of thesymmetry group method.The Role of Ordinary Bessel Function and Hankel Function in Simulation of Plasma Valve Mechanism in a Loss-Free Metallic Cylindrical Waveguide
https://mir.kashanu.ac.ir/article_112053.html
In this paper, a finite cylindrical plasma waveguide is investigated as a plasma valve in the path of a non-dissipative cylindrical waveguide with metal walls. Theoretical simulation to investigate the effect of the main parameters of this plasma valve on the transmission coefficients and reflection coefficients of the symmetric modes is the main part of this paper. The transmittance coefficients of electromagnetic waves in each symmetric mode are introduced in terms of Henkel functions and ordinary Bessel functions, and the role of these functions in the purification of some modes is investigated. Taking into account the boundary conditions, the transmission coefficient of the output wave modes from the plasma valve are obtained. The diagrams of the mentioned coefficient versus the incident wave frequency, geometry dimensions and the type of the used plasma in the valve are studied.More on the Enumeration of Some Kind of Dominating Sets in Cactus Chains
https://mir.kashanu.ac.ir/article_112056.html
A non-empty set S &sube; V is a dominating set, if every vertex not in S is adjacent to at least one vertex in S, and S is a total dominating set, if every vertex of V is adjacent to some vertices of S. We enumerate dominating sets, non-split dominating sets and total dominating sets in several classes of cactus chains.Properties of Discrete Reversed Aging Intensity Function
https://mir.kashanu.ac.ir/article_112058.html
In this paper, we discuss the properties of reversed aging intensity (RAI) function for discrete random variable and study its nature for some distributions. Further, using this function we characterize some discrete related distributions. The closure properties of the aging classes defined in terms of RAI function are also presented and study its closure properties under different reliability operations, viz., formation of k-out-of-n system. Moreover, we define an ordering, called reversed aging intensity ordering and study its relationship with some usual stochastic orderings. Also a numerical example is given to explain the theoretical results.Providing a Framework for Increasing Security in Digital Document Management Systems
https://mir.kashanu.ac.ir/article_112060.html
In the era of information technology and the expansion of global networks, digital document management systems play a crucial role in providing services. The use of digital instead of paper documents has become more common to reduce the administrative costs in small and large organizations. One of the most significant concerns of such systems, though, is the security of documents against alteration or distortion. There are various ways to increase the security of digital documents and this paper is aimed at providing a new framework of the combination of steganography and cryptography to increase the security of digital documents.The proposed method first has been tested and reviewed with MATLAB 2018 software on standard images such as Lena, Baboon and Pepper. Then, it has been tested on digital documents of the Social Security Organization through the proposed conceptual model which utilizes a combination of unique image features to generate messages. The evaluation of results indicates the effectiveness of the proposed method and its applicability in digital document management systems.Continuity and Differentiability of Solutions with Respect to Initial Conditions and Peano Theorem for Uncertain Differential Equations
https://mir.kashanu.ac.ir/article_112082.html
&nbsp;In this paper we study the dependence of solutions of uncertain initial value problems (UIVP) on the initial values. Introducing a contraction mapping and using Banach Fixed Point Theorem (BFPT), the existence and uniqueness (EaU) of solutions of the UIVP will be proven. We show that under appropriate assumptions, the solutions of UIVP are continues and differentiable with respect to initial conditions (ICs). The paper will be ended by proving a theorem about the existence of solutions of an autonomous UIVP under weaker conditions. This theorem is a generalization of PeanoTheorem to UDEs.The Applications of Algebraic Polynomial Rings in Satellite Coding and Cryptography
https://mir.kashanu.ac.ir/article_112083.html
This survey illustrates and investigates the application of polynomial rings over finite fields to generate PRN codes for Global Navigation Satellite System (GNSS) satellites. In GNSS, satellites continually broadcast signals at two or more frequencies, including pseudo-random noise (PRN) codes. Each GNSS satellite has its own PRN code, and due to the unique mathematical properties of PRN codes, all satellites can communicate at the same frequency without interfering with another one. Although PRN code appears to be devoid of any discernible structure, it is composed of a deterministic series of pulses that will repeat itself after its period. The PRN code generator employs two shift registers known as Gold polynomials, and the suitable polynomial is decided by the number of satellites. The approach used in satellites is based on the usage of two primitive polynomials, with the output of the first polynomial being used as input for the second polynomial.