نتایج جستجو برای: quadratic alpha

تعداد نتایج: 249291  

Journal: :Mathematische Zeitschrift 2021

The distribution of $$\alpha p$$ modulo one, where p runs over the rational primes and $$ is a fixed irrational real, has received lot attention. It natural to ask for which exponents $$\nu >0$$ one can establish infinitude satisfying $$||\alpha p||\le p^{-\nu }$$ . latest record in this regard Kaisa Matomäki’s landmark result =1/3-\varepsilon presents limit currently known technology. Recently...

2009
Ahmet Tekcan Arzu Özkoç

Let D = 1 be a positive non-square integer and let δ = √ D or 1+ √ D 2 be a real quadratic irrational with trace t = δ + δ and norm n = δδ. Let γ = P+δ Q be a quadratic irrational for positive integers P and Q. Given a quadratic irrational γ, there exist a quadratic ideal Iγ = [Q, δ + P ] and an indefinite quadratic form Fγ(x, y) = Q(x−γy)(x−γy) of discriminant Δ = t − 4n. In the first section,...

The problem of accurate foreground estimation in images is called Image Matting. In image matting methods, a map is used as learning data, which is produced by those pixels that are definitely foreground, definitely background ,and unknown. This three-level pixel map is often referred to as a trimap, which is produced manually in alpha matte datasets. The true class of unknown pixels will be es...

2007
D. C. Marcilio

We are considering the application of the Augmented Lagrangian algorithms with quadratic penalty, to convex problems of quadratic programming. The problems of quadratic programming are composites of quadratic objective function and linear constraints. This important class of problems will be generated through the algorithm of sequential quadratic programming, where at each iteration the quadrat...

Journal: :Journal of Approximation Theory 1977

Journal: :Applied Numerical Mathematics 2014

Journal: :Journal of Computer and System Sciences 1982

Journal: :Frontiers in Physics 2018

2001
L. Accardi S. V. Kozyrev

In the present paper we outline the stochastic limit approach to superfluidity. The Hamiltonian describing the interaction between the Bose condensate and the normal phase is introduced. Sufficient in the stochastic limit condition of superfluidity is proposed. Existence of superfluidity in the stochastic limit of this system is proved and the non– linear (quadratic) equation of motion describi...

Journal: :Constructive Approximation 2021

Abstract In the theory of orthogonal polynomials, as well in its intersection with harmonic analysis, it is an important problem to decide whether a given polynomial sequence $$(P_n(x))_{n\in \mathbb {N}_0}$$ ( P n x ) <...

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