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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…
Shuya Kanagawa, 1 1, Kiyoyuki Tchizawa
Let us consider higher dimensional canards in a sow-fast system R 2+2 with a bifurcation parameter. Then, the slow manifold sometimes shows various aspects due to the bifurcation. Introducing a key notion “symmetry” to the slow-fast system, it becomes clear w…
Serdar Beji
A recursive method based on successive computations of perimeters of inscribed regular polygons for estimating π is formulated by employing the Pythagorean theorem alone without resorting to any trigonometric calculations. The approach is classical but the fo…
François Dubeau
We present old and new results about the size function of a set providing simple and complete proofs using basic tools of general topology. For instance, the decomposition of the size function is given and, under the calmness property of a set, the right cont…
Ivan Raykov
Our purpose is to introduce new necessary conditions for a fixed point of maps on non-metric spaces. We use a contraction map on a metric topological space and a lately published definition of limit of a function between the metric topological space and the n…
Yongmin Wang
In this paper, some conclusions related to the prime number theorem, such as the Mertens formula are improved by the improved Abelian summation formula, and some problems such as “Dirichlet” function and “ W ( n )” function are studied.
Lyndon O. Barton
This paper presents a Method for the squaring of a circle ( i.e. , constructing a square having an area equal to that of a given circle). The construction, when applied to a given circle having an area of 12.7 cm 2 , it produced a square having an area of 12.…
Cunji Yang, Shaomin Wang
In 1958, Baker posed the question that if f and g are two permutable transcendental entire functions, must their Julia sets be the same? In order to study this problem of permutable transcendental entire functions, by the properties of permutable transcendent…
Boubacar Sidy Balde, Mohamadou Mor Diogou Diallo, Oumar Sall
In this work, we use the finiteness of the Mordell-weil group and the Riemann Roch spaces to give a geometric parametrization of the set of algebraic points of any given degree over the field of rational numbers Q on curve C 3 ( 11): y 11 = x 3 ( x -1) 3 . Th…
Vânia Gonçalves de Brito dos Santos, Paula Tamires Gomes dos Anjos
The solution of many conduction heat transfer problems is found by two-dimensional simplification using the analytical method since different points have different initial temperatures. The temperature at each point of a given element can be analyzed through…
Levy K. Matindih, Peter J. Banda, Danny Mukonda
In this paper, our focus is to introduce and investigate a class of mappings called M- asymmetric irresolute multifunctions defined between bitopological structural sets satisfying certain minimal properties. M -asymmetric irresolute multifunctions are point-…
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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.
Authors submit their manuscript, metadata, and declarations through the portal. There is no submission fee.
The editorial office screens the manuscript for scope, completeness, and formatting before assigning a handling editor.
At least two independent reviewers evaluate the manuscript under single-blind review. Where revisions are required, authors respond point by point.
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The article is copyedited, typeset, and given a DOI, then publishes open access with a permanent link.
Manuscripts must be original and not under consideration elsewhere. Submit in Microsoft Word or LaTeX with figures at 300 dpi minimum. Structure research articles as Abstract, Introduction, Methods, Results, Discussion, and References.
Use the journal's numbered (Vancouver) reference style. Cite sources consecutively in the order they appear, and ensure every reference is complete and retrievable.
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