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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of ordered algebraic structures. All the manus…
Levy K. Matindih, Edwin Moyo, Davy K. Manyika, Timothy Sinyangwe
In this paper, we aim to introduce and study some basic properties of upper and lower M -asymmetric irresolute multifunctions defined between asymmetric sets in the realm of bitopological spaces with certain minimal structures as a generalization of irresolut…
T. Cao-Huu, D. Ghisa
Analytic atlases on can be easily defined making it an n -dimensional complex manifold. Then with the help of bi-M ö bius transformations in complex coordinates Abelian groups are constructed making this manifold a Lie group. Actions of Lie groups on dif…
Dalal Adnan Maturi, Honaida Mohammed Malaikah
The nonlinear partial differential equation is solved using the Adomian decomposition method (ADM) in this article. A number of examples have been provided to illustrate the numerical results, which is the comparison of the exact and numerical solutions, and…
Michael Hecht, Ivo F. Sbalzarini, 1 1
We generalize Biggs Theorem to the case of directed cycles of multi-digraphs allowing to compute the dimension of the directed cycle space independently of the graph representation with linear runtime complexity. By considering two-dimensional CW complex of e…
Prodromos Char. Papadopoulos
In this research we are going to define two new concepts: a) “The Potential of Events” (EP) and b) “The Catholic Information” (CI). The term CI derives from the ancient Greek language and declares all the Catholic (general) Logical Propositions ( ) which will…
I. Zahan, R. Nasrin
Topology has enormous applications on fuzzy set. An attention can be brought to the mathematicians about these topological applications on fuzzy set by this article. In this research, first we have classified the fuzzy sets and topological spaces, and then we…
Khadijah Alamoudi, Mohmmad Said Hammoudeh
Models of the coupled nonlinear Schr ö dinger equations submit various critical physical phenomena with a typical equation for optical fibres with linear refraction. In this article, we will presuppose the Compact Finite Difference method with Runge-Kutt…
H. M. Serag, L. M. Abd-Elrhman, A. A. Alsaban
The existence and uniqueness of the state for 2 × 2 Dirichlet cooperative elliptic systems under conjugation conditions are proved using Lax-Milgram lemma, then the boundary control for these systems is discussed. The set of equations and inequalities that ch…
Brandon Y. Wang, Xin Wang
Primes are of great importance and interest in mathematics partially due to their hard-to-predict distribution. A corollary of the Goldbach Conjecture is that two primes are equally distanced from a mid-point integer. Here the authors demonstrate that most pr…
Jiaxin Wu, Zhongyan Shen
φ e ( n ) is a function similar to Euler function φ ( n ). We discussed and obtained all the odd solutions of the equations φ e ( xy ) = φ e ( x ) + 2 φ e ( y) , φ e ( xy ) = 2 φ e ( x ) + 3 φ e ( y) and φ e ( xyz ) = φ e ( x ) + φ e ( y) + φ e ( z) by using…
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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of ordered algebraic structures. All the manus… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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