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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…
Sie Long Kek, Sy Yi Sim, Chuei Yee Chen
In this paper, an expanded optimal control policy is proposed to study the coupled tanks system, where the random disturbance is added into the system. Since the dynamics of the coupled tanks system can be formulated as a nonlinear system, determination of th…
Alfred Wünsche
The behavior of the zeros in finite Taylor series approximations of the Riemann Xi function (to the zeta function), of modified Bessel functions and of the Gaussian (bell) function is investigated and illustrated in the complex domain by pictures. It can be s…
Jesse D. Williams-Kovacs, Christopher R. Clarkson
In this paper, the methods developed by [1] are used to analyze flowback data, which involves modeling flow both before and after the breakthrough of formation fluids. Despite the versatility of these techniques, achieving an optimal combination of parameters…
Stanisław Olszewski
The main differential equations of quantum theory are the eigenequations based on the energy operator; they have the energy as eigenvalues and the wave functions as eigenfunctions. A usual complexity of these equations makes their accurate solutions accessibl…
Peter L. Irwin, Yiping He, Chin-Yi Chen
In this work empirical models describing sampling error ( Δ ) are reported based upon analytical findings elicited from 3 common probability density functions ( PDF ): the Gaussian, representing any real-valued, randomly changing variable x of mean μ…
Simon Joseph, Ahmed Sufyan, Hala Taha, Ranya Tahir
Short Retraction Notice The paper does not meet the standards of " Advances in Pure Mathematics ". This article has been retracted to straighten the academic record. In making this decision the Editorial Board follows COPE's Retraction Guidelines . The aim is…
S. Khalid Nauman, Najat M. Muthana
Sum of two nilpotent elements in a ring may not be nilpotent in general, but for commutative rings this sum is nilpotent. In between commutative and non-commutative rings there are several types of rings in which this property holds. For instance, reduced, NI…
Alfred Wünsche
The transition from a known Taylor series of a known function f(x) to a new function primarily defined by the infinite power series with coefficients f<sup>(n)</sup>(0) from the Taylor series of the function f(x) can be made by an integral transformation whic…
Rongchuan Tao, Yingzi Yang, Xiaoxiao Zou, Zifan Dong, Siran Chen
This research paper concentrates on the Kakeya problem. After the introduction of historical issue, we provide a thorough presentation of the results of Kakeya problem with some examples of the early solutions as well as the proof of the final outcome of this…
Xueying Liu
Zoonosis is an important factor affecting human economic development and population mortality. This paper introduces a general model of zoonosis, in which the diseases can only be transmitted from animals to humans, such as rabies, brucellosis and so on. The…
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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.
On acceptance the article processing charge is invoiced and the CC BY 4.0 copyright handover is signed.
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.
Declare all funding sources, conflicts of interest, and ethical approvals (including informed consent and animal-care statements where applicable).