Results 21 to 30 of about 2,471 (259)
On the Asymptotic Equivalence of Circulant and Toeplitz Matrices [PDF]
IEEE Transactions on Information Theory, 2017 Any sequence of uniformly bounded $N\times N$ Hermitian Toeplitz matrices $\{\boldsymbol{H}_N\}$ is asymptotically equivalent to a certain sequence of $N\times N$ circulant matrices $\{\boldsymbol{C}_N\}$ derived from the Toeplitz matrices in the sense that $\left\| \boldsymbol{H}_N - \boldsymbol{C}_N \right\|_F = o(\sqrt{N})$ as $N\rightarrow \infty$.
Zhihui Zhu, Michael B. Wakin
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Asymptotic Density for Equivalence
Electronic Notes in Theoretical Computer Science, 2005 AbstractIn this paper we study the asymptotic behavior of the fraction of true formulas against all formulas over k propositional variables with equivalence as the only connective in the language. We consider two ways of measuring the asymptotic behavior. In the first case we investigate the size of the tautology fraction of length n against the number
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Abstract and Applied Analysis, 2012 We prove the equivalence and the strong convergence of (1) the modified Mann iterative process and (2) the modified Ishikawa iterative process for asymptotically ϕ-strongly pseudocontractive mappings in a uniformly smooth Banach space.
Xuewu Wang +2 more
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Asymptotic equivalence of quantum stochastic models [PDF]
Journal of Mathematical Physics, 2019 We introduce the notion of perturbations of quantum stochastic models using the series product and establish the asymptotic convergence of sequences of quantum stochastic models under the assumption that they are related via a right series product perturbation.
Luc Bouten, John E. Gough
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Journal of Applied Mathematics, 2012 In this paper we prove the equivalence and the strong convergence of an explicit Mann iterative process and a modified implicit iterative process for asymptotically 𝜙-strongly pseudocontractive mappings in a uniformly smooth Banach space.
Luigi Muglia, Yonghong Yao
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An exact construction of codimension two holography
Journal of High Energy Physics, 2021 Recently, a codimension two holography called wedge holography is proposed as a generalization of AdS/CFT. It is conjectured that a gravitational theory in d + 1 dimensional wedge spacetime is dual to a d − 1 dimensional CFT on the corner of the wedge ...
Rong-Xin Miao
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Asymptotic Equivalence for Nonparametric Regression
, 2002 We consider a nonparametric model $\mathcal{E}^{n},$ generated by independent observations $X_{i},$ $i=1,...,n,$ with densities $p(x,θ_{i}),$ $i=1,...,n,$ the parameters of which $θ_{i}=f(i/n)\in Θ$ are driven by the values of an unknown function $f:[0,1]\rightarrow Θ$ in a smoothness class.
Grama, Ion, Nussbaum, Michael
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$f$-Asymptotically $\mathcal{I}_{\sigma\theta}$-Equivalence of Real Sequences
Journal of Mathematical Sciences and Modelling, 2020 In this manuscript, we present the ideas of asymptotically $[{\mathcal{I}_{\sigma\theta}}]$-equivalence, asymptotically ${\mathcal{I}_{\sigma\theta}}(f)$-equivalence, asymptotically $[{\mathcal{I}_{\sigma\theta}}(f)]$-equivalence and asymptotically ...
Erdinç Dundar, Nimet Akın
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Wijsman Orlicz Asymptotically Ideal -Statistical Equivalent Sequences
Journal of Function Spaces and Applications, 2013 An ideal is a family of subsets of positive integers which is closed under taking finite unions and subsets of its elements. In this paper, we introduce a new definition of asymptotically ideal -statistical equivalent sequence in Wijsman sense and ...
Bipan Hazarika
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On Asymptotically Lacunary Statistical Equivalent Set Sequences
Journal of Mathematics, 2013 This paper presents three definitions which are natural combination of the definitions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, and Wijsman convergence.
Uğur Ulusu, Fatih Nuray
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