Results 31 to 40 of about 28,609 (295)
The curvature effect in Gaussian random fields
Journal of Physics: Complexity, 2022 Abstract Random field models are mathematical structures used in the study of stochastic complex systems. In this paper, we compute the shape operator of Gaussian random field manifolds using the first and second fundamental forms (Fisher information matrices).
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The Relationship of the Gaussian Curvature with the Curvature of a Cowen-Douglas Operator
, 2023 It has been recently shown that if $K$ is a sesqui-analytic scalar valued non-negative definite kernel on a domain $Ω$ in $\mathbb C^m$, then the function $\big(K^2\partial_i\bar{\partial}_j\log K\big )_{i,j=1}^ m,$ is also a non-negative definite kernel on $Ω$. In this paper, we discuss two consequences of this result.
Ghara, Soumitra, Misra, Gadadhar
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Adaptive Gaussian Markov Random Fields with Applications in Human Brain Mapping [PDF]
, 2005 Functional magnetic resonance imaging (fMRI) has become the standard technology in human brain mapping. Analyses of the massive spatio-temporal fMRI data sets often focus on parametric or nonparametric modeling of the temporal component, while spatial ...
Brezger, Andreas +2 more
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‘Classical’ coherent state generated by curved surface
New Journal of Physics, 2022 Analogous coherent states are deduced from classical optical fields on curved surface in this paper. The Gaussian laser beam, as a fundamental mode, cannot be adequately simulated by coherent states due to their inherent diffraction in flat space. But it
Weifeng Ding, Zhaoying Wang
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Geometrical Aspect of Compressibility Critical Exponent
Frontiers in Physics, 2022 Critical exponent γ ⪰ 1.1 characterizes the behavior of the mechanical compressibility of a real fluid when the temperature approaches the critical one.
J. S. Yu, W. K. Du, Q. H. Liu
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A best constant and the Gaussian curvature [PDF]
Proceedings of the American Mathematical Society, 1986 For axisymmetric f ∈
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Bridge deck disease detection and screening method based on point cloud Gaussian curvature field
Journal of Highway and Transportation Research and DevelopmentIn order to efficiently and automatically detect and classify bridge deck diseases, a method using Gaussian curvature to detect bridge deck surface diseases is proposed.
Liang Tang +4 more
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On Total Shear Curvature of Surfaces in E^{n+2}
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 In the present study we consider surfaces in Euclidean (n+2)-space Eⁿ⁺². Firstly, we introduce some basic concepts of second fundamental form and curvatures of the surfaces in Eⁿ⁺².
Kadri Arslan, Betül Bulca
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Prescribing Gaussian curvature on S2 [PDF]
Duke Mathematical Journal, 1990 What functions K can be the Gaussian curvature of a metric on \(S^ 2\) which is pointwise conformal to the standard metric? It is well known that this problem reduces to solving the nonlinear PDE \(\Delta u=1- Ke^{2u}\) where \(\Delta\) is the Laplacian on \(S^ 2\) with its standard metric.
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Quantifying epithelial cell proliferation on curved surfaces
Frontiers in Physics, 2022 Out-of-plane curvature is an important, but poorly explored geometric parameter that influences cell behavior. We address the impact of curvature on epithelial proliferation through monitoring how MDCK cells proliferate on planar and curved toroidal ...
Ya-Wen Chang +11 more
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