in the present paper a solution of the generalizedquadratic functional equation$$f(kx+ y)+f(kx+sigma(y))=2k^{2}f(x)+2f(y),phantom{+} x,yin{e}$$ isgiven where $sigma$ is an involution of the normed space $e$ and$k$ is a fixed positive integer. furthermore we investigate thehyers-ulam-rassias stability of the functional equation. thehyers-ulam stability on unbounded domains is also studied.applic...

in this article, we characterize the involutiveness of the linear combination of the forma1a1 +a2a2 when a1, a2 are nonzero complex numbers, a1 is a quadratic or tripotent matrix,and a2 is arbitrary, under certain properties imposed on a1 and a2.

As a means to solve optimization problems using quantum computers, the problem is typically recast into Ising spin model whose ground-state solution of problem. An alternative formulation Lechner-Hauke-Zoller model, which has form lattice gauge with nearest neighbor 4-body constraints. Here we introduce method find minimal strength constraints are required conserve correct ground-state. Based o...

By using the relativistic precession model, we have studied frequencies of quasi-periodic oscillations in spacetime a disformal Kerr black hole. This hole owns an extra parameter and belongs to class non-stealth solutions quadratic degenerate higher-order scalar-tensor (DHOST) theories. Our result shows that only periastron frequency is related parameter, while azimuthal nodal are identical wit...

Introduction: The ability of quadratic dose protocol to maintain a good quality image for an overweight and obese patient is well reported. However, a practical approach to the implementation of this protocol in whole-body imaging in Malaysia is currently lacking. Hence, the aim of this study is to derive the quadratic dose formula that suits our PET system. Metho...

In this paper, we study the problem of minimizing the ratio of two quadratic functions subject to a quadratic constraint. First we introduce a parametric equivalent of the problem. Then a bisection and a generalized Newton-based method algorithms are presented to solve it. In order to solve the quadratically constrained quadratic minimization problem within both algorithms, a semidefinite optim...