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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…
Jaykov Foukzon, Elena Men’kova
In this article we proved so-called strong reflection principles corresponding to formal theories Th which has omega-models or nonstandard model with standard part. A possible generalization of L ö b’s theorem is considered. Main results are: 1) , 2) , 3…
Jeff Brown
Let E be a toric fibration arising from symplectic reduction of a direct sum of complex line bundles over (almost) K ä hler base B . Then each torus-fixed point of the toric manifold fiber defines a section of the fibration. Let L a be convex line bundle…
Suha Ahmed Wazzan
In [1], a new consequence of the (restricted) wreath product for arbitrary monoids A and B with an underlying set . Let us denote it by . Actually, in the same reference, it has been also defined the generating and relator sets for , and then proved some fini…
Shichang Shen, Chao Feng
The speed of China’s economic development is gradually accelerating, and the demand for energy is also constantly increasing, especially the demand for coal. In order to reveal whether the coal imports have an impact on China’s economic development, this pape…
Baoqin Chen
This paper is to study the unicity of transcendental meromorphic solutions to some nonlinear difference equations. Let be a nonzero rational function. Consider the uniqueness of transcendental meromorphic solutions to some nonlinear difference equations of th…
Nicholas S. Gonchar
In the paper, a class of discrete evolutions of risk assets having the memory is considered. For such evolutions the description of all martingale measures is presented. It is proved that every martingale measure is an integral on the set of extreme points re…
Gábor Sági, 1 1
Let χ= be a metric space and let ε be a positive real number. Then a function f : X →Y is defined to be an ε -map if and only if for all y ∈ Y, the diameter of f -1 (y) is at most ε . In Theorem 10 we will give a new proof for the following well known fact: i…
J. Czopik
In this paper we give an algorithm for polignac numbers. That algorithm is also the base of the proof of the de Polignac's conjecture. The examples of the application present algorithm for twin, cousin, and sexy primes are included.
Akinola Yussuff Akinyele, Kamilu Rauf, Aasa Moses Adebowale, Omosowon Jude Babatunde
This paper consists of dissipative properties and results of dissipation on infinitesimal generator of a C 0 -semigroup of ω -order preserving partial contraction mapping ( ω - OCP n ) in semigroup of linear operator. The purpose of this paper is to establish…
Emmanuella Ehui Aribike, Yisa Oluwatoyin Anthonio, Kamilu Rauf, Michael Oyelami Ajisope
Inequalities are essential in the study of Mathematics and are useful tools in the theory of analysis. They have been playing a critical role in the study of the existence and uniqueness properties of solutions of initial and boundary value problems for diffe…
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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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