Results 41 to 50 of about 1,269,954 (273)
On asymptotic density inn-dimensions [PDF]
Pacific Journal of Mathematics, 1969 The notion of asymptotic density for sets of non-negative integers is generalized to sets of \(n\)-dimensional ``non-negative'' lattice points. Let \(S\) be the set of all \(n\)-tuples of non-negative integers. For \(A\subseteq S\), the Schnirelmann density, \(d(A)\), of \(A\), has been defined to be \(glb_F(A(F)/S(F))\) where \(X(Y)\) is the number of
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The exterior Dirichlet problems of Monge–Ampère equations in dimension two
Boundary Value Problems, 2020 In this paper, we study the Monge–Ampère equations det D 2 u = f $\det D^{2}u=f$ in dimension two with f being a perturbation of f 0 $f_{0}$ at infinity.
Limei Dai
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Surfaces have (asymptotic) dimension 2
, 2020 34 pages, 4 figuresThe asymptotic dimension is an invariant of metric spaces introduced by Gromov in the context of geometric group theory. When restricted to graphs and their shortest paths metric, the asymptotic dimension can be seen as a large scale ...
Pirot, François +5 more
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On transfinite extension of asymptotic dimension [PDF]
, 2010 We prove that a transfinite extension of the asymptotic dimension asind is trivial. We introduce a transfinite extension of the asymptotic dimension asdim and give an example of a metric proper space which has transfinite infinite ...
Radul, T., T. Radul
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A covariance matrix test for high-dimensional data [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2016 For the multivariate normally distributed data with the dimension larger than or equal to the number of observations, or the sample size, called high-dimensional normal data, we proposed a test for testing the null hypothesis that the covariance matrix
Saowapha Chaipitak, Samruam Chongcharoen
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On equivariant asymptotic dimension [PDF]
Groups, Geometry, and Dynamics, 2017 The work discusses equivariant asymptotic dimension (also known as "wide equivariant covers", " N - \mathcal F -amenability" or "amenability dimension" and " d -BLR condition") and its ...
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Quasinormal Modes of a Charged Black Hole with Scalar Hair
Universe, 2023 Based on the five-dimensional Einstein–Maxwell theory, Bah et al. constructed a singularity-free topology star/black hole [Phys. Rev. Lett. 126, 151101 (2021)].
Wen-Di Guo, Qin Tan
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Asymptotic and bootstrap tests for subspace dimension
Journal of Multivariate Analysis, 2022 Most linear dimension reduction methods proposed in the literature can be formulated using an appropriate pair of scatter matrices, see e.g. Ye and Weiss (2003), Tyler et al. (2009), Bura and Yang (2011), Liski et al. (2014) and Luo and Li (2016). The eigen-decomposition of one scatter matrix with respect to another is then often used to determine the ...
Oja, Hannu +3 more
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Dimensionality reduction of a dynamic wind turbine model
Вестник Самарского университета: Естественнонаучная серияThe article examines a mathematical model of a small wind power plant with a vertical axis of rotation, known as the Darye wind turbine. The paper considers the transition from a three-time differential system of equations to a two-time system, which ...
A. S. Kirsanova
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Asymptotic dimension, property A, and Lipschitz maps [PDF]
Revista Matemática Complutense, 2012 It is well-known that a paracompact space X is of covering dimension n if and only if any map f from X to a simplicial complex K can be pushed into its n-skeleton. We use the same idea to define dimension in the coarse category. It turns out the analog of maps f from X to K is related to asymptotically Lipschitz maps, the analog of paracompact spaces ...
Cencelj, M., Dydak, J., Vavpetič, A.
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