Current Issue : April-June Volume : 2022 Issue Number : 2 Articles : 5 Articles
In this paper, the most important liner groups are classified. Those that we often have the opportunity to meet when studying linear groups as well as their application in left groups. In addition to the introductory part, we have general linear groups, special linear groups, octagonal groups, symplicit groups, cyclic groups, dihedral groups: generators and relations. The paper is summarized with brief deficits, examples and evidence as well as several problems. When you ask why this paper, I will just say that it is one of the ways I contribute to the community and try to be a part of this little world of science....
This paper is concerned with the sensitivity of set-valued discrete systems. Firstly, this paper obtained the equivalence between ( ( ) ) 1, X , f ∞ or ( ( ) ) 1, Y , g ∞ and the product system ( ( ) ) 1, 1, X Y , f g ∞ ∞ × × in sensitivity, infinite sensitivity, -sensitivity, ( ) 1 2 , -sensitivity. Then, the relation between ( ) 1, X , f ∞ or ( ) 1, Y, g ∞ and ( ( ) ) 1, 1, X Y , f g ∞ ∞ × × in ergodic sensitivity is obtained. Where ( ( ) ) 1, X , f ∞ is the set-valued dynamical system induced by a non-autonomous discrete dynamical system ( ) 1, X , f ∞ ....
Special bilinear functions (SBF) proved to be applicable in many situations and for a good number of problems. Hence it is important to generalize them to a higher degree by expanding previous work. In the beginning, we give a quick review of SBF [or quacroms of second degree and dimension 2× n ]; then we give a few applications based on previously published research concentrating on their use in evaluating some special functions and where we present the evaluation of Chebyshev polynomials as a new work. Following that, we define special trilinear functions (STF) of three n-tuples vectors, which are the generalization of SBF. Finally, a few applications, such as taking the product of three polynomials of degree n, are given stressing the fact that the process of taking the product of three integers using STF techniques, practically, takes place in a very efficient way and with no mentioned effort. A short discussion on the future of the subject constitutes the conclusion of our article....
The inspection of wave motion and propagation of diffusion, convection, dispersion, and dissipation is a key research area in mathematics, physics, engineering, and real-time application fields. This article addresses the generalized dimensional Hirota–Maccari equation by using two different methods: the exp(j(z)) expansion method and Addendum to Kudryashov’s method to obtain the optical traveling wave solutions. By utilizing suitable transformations, the nonlinear PDEs are transformed into ODEs. The traveling wave solutions are expressed in terms of rational functions. For certain parameter values, the obtained optical solutions are described graphically with the aid of Maple 15 software....
In this paper, we deduce Wiener number of some connected subgraphs in tilings (4, 4, 4, 4) and (4, 6, 12), which are in Archimedean tilings. And compute their average distance....
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