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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…
Fuzhang Zhao
An anisotropic continuum stored energy (CSE), which is essentially composed of invariant component groups (ICGs), is postulated to be balanced with its stress work done, constructing a partial differential equation (PDE). The anisotropic CSE PDE is generally…
Meng Zhang
This paper introduced a way of fractal to solve the problem of taking count of the integer partitions , furthermore, using the method in this paper some recurrence equations concerning the integer partitions can be deduced, including the pentagonal number the…
Jae Ho Choi
Let the function f be analytic in U={z:z ∈C and < 1} and be given by . In this paper, making use of the Srivastava-Attiya operator L s,b , we introduce two classes of analytic functions and investigate some convolution properties and coefficient estimates for…
Alfred Wünsche
Starting from Wigner’s definition of the function named now after him we systematically develop different representation of this quasiprobability with emphasis on symmetric representations concerning the canonical variables (q,p) of phase space and using the…
Serdar Beji
A fundamental algebraic relationship for a general polynomial of degree n is given and proven by mathematical induction. The stated relationship is based on the well-known property of polynomials that the n th - differences of the subsequent values of an n th…
Shengmei Lv
The modified generality degree distance, is defined as: , which is a modification of the generality degree distance. In this paper, we give some computing formulas of the modified generality degree distance of some graph operations, such as, composition, join…
Peipei Wang, Minhao Yu, Jun Li
Given a pan-space and a nonnegative measurable function f on measurable space (X, A) , the pan-integral of f with respect to monotone measure μ and pan-operation determines a new monotone measure on (X, A) . Such the new monotone measure is absolutely continu…
Desalegn Petros Kelkile
In this paper, we study a stochastic epidemic model in Meta-population setting. The stochastic model is obtained from the deterministic model by set up random perturbations about the endemic equilibrium state. The outcome of random perturbations on the stabil…
Martin Schottenloher
The goal of this paper is to confirm that the unitary group U(H) on an infinite dimensional complex Hilbert space is a topological group in its strong topology, and to emphasize the importance of this property for applications in topology. In addition, it is…
Xingbo Wang, 1 1
Valuated binary tree is emerging its magical characteristics in study of integers. As the father tree of all valuated binary subtrees, T 3 tree plays a very important role in studying the odd integers for its owning both the common properties of a general val…
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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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