Results 51 to 60 of about 4,848,832 (374)
Phase portraits on the unit sphere of the stretch-twist-fold flow
Nonlinear Analysis, 2023 The so-called stretch-twist-fold flow consists in a Stokes flow depending on two parameters defined in a unit closed ball B that is associated with the motion of a fluid particle coming from the dynamo theory, and it models a mechanism for studying the ...
Jaume Llibre, Claudia Valls
doaj +1 more source
Generalized Cheeger-Gromoll Metrics and the Hopf map [PDF]
, 2010 We show, using two different approaches, that there exists a family of Riemannian metrics on the tangent bundle of a two-sphere, which induces metrics of constant curvature on its unit tangent bundle.
Benyounes, M. +2 more
core +2 more sources
Integration and Optimization of Multivariate Polynomials by Restriction onto a Random Subspace [PDF]
, 2005 We consider the problem of efficient integration of an n-variate polynomial with respect to the Gaussian measure in R^n and related problems of complex integration and optimization of a polynomial on the unit sphere.
Barvinok, Alexander
core +4 more sources
On strong orthogonality and strictly convex normed linear spaces [PDF]
, 2012 We introduce the notion of strongly orthogonal set relative to an element in the sense of Birkhoff-James in a normed linear space to find a necessary and sufficient condition for an element $ x $ of the unit sphere $ S_{X}$ to be an exposed point of the ...
Jha, Kanhaiya +2 more
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Envelopes of legendre curves in the unit spherical bundle over the unit sphere
, 2018 In this paper, we introduce a one-parameter family of Legendre curves in the unit spherical bundle over the unit sphere and the curvature. We give the existence and uniqueness theorems for one-parameter families of spherical Legendre curves by using the ...
Yanlin Li +3 more
semanticscholar +1 more source
Polynomial Approximation in Sobolev Spaces on the Unit Sphere and the Unit Ball [PDF]
, 2010 This work is a continuation of the recent study by the authors on approximation theory over the sphere and the ball. The main results define new Sobolev spaces on these domains and study polynomial approximations for functions in these spaces, including ...
Dai, Feng, Xu, Yuan
core +2 more sources
Developing a climate change inequality health impact assessment for health services
Public Health Research & Practice, 2023 Objectives: To develop a Climate Change Inequality Health Impact Assessment (CCIHIA) framework for health services; to provide a systematic process for assessing potential unequal health impacts of climate change on vulnerable and marginalised ...
Fiona Haigh +6 more
doaj +1 more source
Optimum “Eye Location” Problem for Spectral Clustering With Cosine Distance
IEEE Access, 2023 It has recently been reported that Spectral Clustering gives state-of-the art clustering performance for many real-life benchmark datasets. When building the dissimilarity (distance) matrix for the Laplacian matrix, cosine distance is also reported to ...
Zekeriya Uykan
doaj +1 more source
A unique representation of polyhedral types
, 2004 It is known that for each combinatorial type of convex 3-dimensional polyhedra, there is a representative with edges tangent to the unit sphere. This representative is unique up to projective transformations that fix the unit sphere. We show that there
Andreev +7 more
core +2 more sources
Confined structures of least bending energy [PDF]
, 2013 In this paper we study a constrained minimization problem for the Willmore functional. For prescribed surface area we consider smooth embeddings of the sphere into the unit ball.
Müller, Stefan, Röger, Matthias
core +3 more sources