Results 261 to 270 of about 164,992 (306)

Lipschitz Star Bodies

Acta Mathematica Scientia, 2022
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Lin, Youjiang, Wu, Yuchi
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N-body models of extended star clusters

Monthly Notices of the Royal Astronomical Society, 2010
We use direct N-body simulations to investigate the evolution of star clusters with large size-scales with the particular goal of understanding the so-called extended clusters observed in various Local Group galaxies, including M31 and NGC 6822.
Jarrod R Hurley, A D Mackey, Hurley Jarrod R   +2 more
exaly   +2 more sources

Star Bodies and Diophantine Approximation

Journal of the London Mathematical Society, 1991
Let \(F\) be the distance function of a star body \(S=\{x\in\mathbb{R}^ n: F(x)\max\{\beta_ i\}=\beta\)). The exact value is then \(\dim W=n- 1+2\beta/(\tau+\beta)\). As the author remarks, the ideas of the proof can be applied to extend related earlier work on rational Diophantine approximation [see e.g. \textit{Yu Kunrui}, J. Lond. Math.
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Looking for Selectors of Star Bodies

Geometriae Dedicata, 2000
Following the line of previous papers, the author studies the possibilities of choosing ``good'' points inside a convex body or a star set. More precisely, let \({\mathcal F}\) be a family of star sets in \(\mathbb{R}^n\), a function \(s:{\mathcal F}\to \mathbb{R}^n\) is a selector for \({\mathcal F}\) if \(s(A)\in \text{ker} A\), where \(\text{ker} A\)
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Star Bodies/Freak Bodies/Women's Bodies

Media International Australia, 2008
An exploration of the contexts surrounding images of female celebrities in Australian weekly women's magazines complicates any simple cause-and-effect relationship between women's behaviour and celebrity glamour by revealing parallels between the construction of star personae and the discourses surrounding the display of sideshow ‘freaks’.
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Orlicz affine isoperimetric inequalities for star bodies

Advances in Applied Mathematics, 2022
Isoperimetric inequality is one of the most important and beautiful geometric inequalities and has a profound impact on geometry and analysis. It is well known that the classical isoperimetric inequality is equivalent to the Sobolev inequality. Unlike the classical isoperimetric inequality, affine isoperimetric inequalities are inequalities between a ...
Youjiang Lin, Dongmeng Xi
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Third Body Perturbations of Double Stars

Celestial Mechanics and Dynamical Astronomy, 1997
We report on the different results concerning the stability of the hierarchical triple systems where a close binary is accompanied by a third star. There are different possible approaches to answer the question of the stability limits for such triple stars: the most direct investigations can be undertaken in integrating numerically the respective ...
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The Orlicz–Lorentz centroid inequality for star bodies*

Monatshefte für Mathematik, 2022
The paper is inspired by the work [\textit{V. H. Nguyen}, Adv. Appl. Math. 92, 99--121 (2018; Zbl 1380.52011)] on Orlicz-Lorentz centroid bodies. The author extends the Orlicz-Lorentz Busemann-Petty centroid inequality for convex bodies due to Nguyen to the more general case of star bodies.
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Stars and the Resurrection Body

1994
AbstractThis chapter examines Origen's understanding of the resurrected human soul. It is one of the most appropriate of speculations on the life of the heavens. He attempted to steer a middle course between the views of Christians that the resurrected body was no different from the physical body and the beliefs of a number of groups accused of heresy ...
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Metrics in the family of star bodies

advg, 2013
Abstract In this paper we consider different ways of introducing metrics in the family of star bodies. We begin with basic properties of metrics commonly used. Then we use selectors (see Definition 4.1) to extend the radial metric (see Definition 3.2) over the class of all star bodies in n-dimensional euclidean space. This way we obtain
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