ArticlesArchiveAboutEditorial BoardAuthor Guidelines
Call for papersThe 2026 special issue on Climate & Health is open for submissions.Learn more
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…
Lyndon O. Barton
This paper presents a simplified graphical procedure for constructing, using an unmarked straightedge and a compass only , a 10 ˚ to 20 ˚ angle, which is in other words, trisecting a 30 ˚ or 60 ˚ angle. The procedure, when applied to the 3…
Carolina Crisci, Gonzalo Perera, Lia Sampognaro
In this paper, we provide a method based on quantiles to estimate the parameters of a finite mixture of Fréchet distributions, for a large sample of strongly dependent data. This is a situation that appears when dealing with environmental data and there was a…
Shuya Kanagawa, Kiyoyuki Tchizawa
There exists a property “structural stability” for “4-dimensional canards” which is a singular-limit solution in a slow-fast system with a bifurcation parameter. It means that the system includes the possibility to have some critical values on the bifurcation…
Frank Stenger
In this paper we study the function , for z∈ C . We derive a functional equation that relates G (z) and G (1 − z) for all z∈ C , and we prove: 1) that G and the Riemann zeta function ζ have exactly the same zeros in the critical region D := {z∈ C : T…
Nicholas Simon Gonchar
The principles of sustainable economic development are formulated on the basis of the developed concept of description of economic systems. Mathematical algorithms for finding equilibrium states were built and the conditions for complete clearing of the marke…
Sobhy El-Sayed Ibrahim
In this paper, we have considered the general ordinary quasi-differential operators generated by a general quasi-differential expression τ p,q in L p w -spaces of order n with complex coefficients and its formal adjoint τ + q',p' in L p w -spaces for arbitrar…
Nicholas Simon Gonchar
The structure of technological mappings is studied and it is shown that for an important class of technological mappings there exists a continuous strategy of the behavior of firms as arbitrarily close in terms of profit. The latter is important for building…
Li Chen, Tongsuo Wu
Let G = Γ( S ) be a semigroup graph, i.e. , a zero-divisor graph of a semigroup S with zero element 0. For any adjacent vertices x, y in G , denote C ( x , y ) = { z ∈ V(G) | N ( z ) = { x , y }} . Assume that in G there exist two adjacent vertices x, y , a v…
Jie Chen, Wanzhou Ye
In this paper, firstly, we propose a new method for choosing regularization parameter λ for lasso regression, which differs from traditional method such as multifold cross-validation, our new method gives the maximum value of parameter λ directly. Secondly, b…
Levy Kahyata Matindih, Elijah Bwanga Mpelele, Jimmy Hambulo, Davy Kabuswa Manyika
In this present paper, we introduce and investigate a new form of mappings namely; upper and lower M -asymmetric preirresolute multifunctions defined between M -structural asymmetric topological spaces. The relationships between the multifunctions in our sens…
No articles in this issue.
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).