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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…
Omar Moh’d El-Basheer El-Ghezawi
Methods which calculate state feedback matrices explicitly for uncontrollable systems are considered in this paper. They are based on the well-known method of the entire eigenstructure assignment. The use of a particular similarity transformation exposes cert…
Werner Hürlimann
A new approach that bounds the largest eigenvalue of 3 × 3 correlation matrices is presented. Optimal bounds by given determinant and trace of the squared correlation matrix are derived and shown to be more stringent than the optimal bounds by Wolkowicz and S…
M. Isabel Garca-Planas, M. Dolors Magret
The spectral properties of special matrices have been widely studied, because of their applications. We focus on permutation matrices over a finite field and, more concretely, we compute the minimal annihilating polynomial, and a set of linearly independent e…
Omar Moh’d El-Basheer El-Ghezawi
A state feedback method of reduced order for eigenvalue assignment is developed in this paper. It offers immediate assignment of m eigenvalues, with freedom to assign the remaining n-m eigenvalues. The method also enjoys a systematic one-step application in t…
Ibtisam Masmali, Sumitra Dalal, Nasir Rehman
We establish fixed point theorems in complete fuzzy metric space by using notion of altering distance, initiated by Khan et al . [Bull. Austral. Math. Soc. 30 (1984), 1-9]. Also, we find an affirmative answer in fuzzy metric space to the problem of Sastry [Ta…
Reem Fahad Al Subaie, Mohamed Ali Mourou
This paper is intended to establish the equivalence between K- functionals and modulus of smoothness tied to a Dunkl type operator on the real line.
Tadashi Taniguchi
The main purpose of this article is to define the super characteristic classes on a super vector bundle over a superspace. As an application, we propose the examples of Riemann-Roch type formula. We also introduce the helicity group and cohomology with respec…
Dagnachew Jenber
In this paper, there are 5 sections of tables represented by 5 linear sequence functions. There are two one-variable sequence functions that they are able to represent all prime numbers. The first one helps the last one to produce another three two-variable l…
Mohammad Taghi Heydari
For a bounded linear operator A on a Hilbert spac e H , let M(A) be the smallest possible constant in the inequality . Here , p is a point on the smooth portion of the boundary of the numerical range of A . is the radius of curvature of at this point and is t…
Xiuzhong Yang, Lidan Chang, Guofen Liu
In this paper, we prove the Hyers-Ulam stability of the following mixed additive-quadratic Jensen type functional equation:
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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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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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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.
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