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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…
Jingjing Ma
In this paper, it is first pointed out that the enumeration of two-dimensional lattice-ordered real algebras provided by Birkhoff and Pierce is complete. Then we classify lattice-ordered algebra F × F over a totally ordered field F . Finally in section 4, we…
Bintou Traore, Bakary Traore, Moussa Mamady Traore, Ibrahima Sory Mamikouny Camara, Maurice Lèno, Alpha Oumar Baldé, Souleymane Baldé, 1 1, 1 1, 1 1
This work presents hybrid optimization methods based on the Threshold Accepting algorithm, Local Search Process, and Variable Neighborhood Search algorithm for the construction of uniform experimental designs. Optimization methods are among the most effective…
Roce A. Mahi, Eric D. Akéké, Joachim M. Mouanda, François E. Tanoé
Let n be a non-zero positive integer, we show that the Diophantine equation X 4 n + Y 4 n = Z 4 n admits an infinite number of matrix solutions in the set M 4 n ( ℕ ) . We introduce different relationships between universes.
Yoshihiro Hamaya, Kaori Saito
Some mathematical boom equation of SEIR type with diffusion, which appears as a model of social and economical boom for the spread of trend-causing, is treated. The asymptotic properties of the diffusive equation are studied by applying the strong maximum pri…
Bacary Savadogo, Fana Tangara, Aissata Adama
B V p , α ( ℝ d ) ( 1 ≤ α ≤ p ≤ + ∞ ) spaces are new classes of functions that we introduced 2017 [1] . In this paper, we give a characterization of B V p , α ( ℝ d ) spaces and establish the continuity of the translation operator and the density of the set o…
Mouftaou Adjibade, Joachim Moussounda Mouanda
We investigate exponential Diophantine triples of order 2, which are sets of three integers { x , y , z } , with x , y , z > 1 , satisfying ( x 2 − 1 ) ( y 2 − 1 ) + 1 , ( x 2 − 1 ) ( z 2 − 1 ) + 1 , ( y 2 − 1 ) ( z 2 − 1 ) + 1 are perfect squares. It is show…
Shili Pang, Chao Lang
The nearly analytic discretization of the frequency-domain wave equation produces large-scale, sparse, and ill-conditioned linear system, which challenge conventional iterative solvers. To mitigate this problem, we employ deep neural networks to construct an…
Jen Chieh Lo
This paper establishes new parameterized Simpson Mercer-type inequalities for functions of two variables within the framework of generalized fractional integral operators. By deriving novel integral identities for twice partially differentiable mappings, we p…
Terry Moschandreou
This paper presents a framework for solving the Navier-Stokes equations on the 3D torus T 3 . In this work, a review is made and a sequel follows with regard to the author’s work in 2021 in [1] where the Geometric Calculus method was used to obtain Equation (…
Mustapha Laayouni
The article introduces the concept of generalized inverses in Jordan algebras as an analog to the classical generalized inverses in the absence of the associativity. We define nonassociative generalized inverses based on quadartic operator U a , explore prope…
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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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