Results 1 to 10 of about 46,505 (141)
Floating body, illumination body, and polytopal approximation [PDF]
, 1996 Let $K$ be a convex body in $\Bbb R^{d}$ and $K_{t}$ its floating bodies. There is a polytope with at most $n$ vertices that satisfies $$ K_{t} \subset P_{n} \subset K $$ where $$ n \leq e^{16d} \frac{vol_{d}(K \setminus K_{t})}{t\ vol_{d}(B_{2}^{d})} $$
Bronshtein +5 more
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The Normalized Graph Cut and Cheeger Constant: from Discrete to Continuous [PDF]
, 2011 Let M be a bounded domain of a Euclidian space with smooth boundary. We relate the Cheeger constant of M and the conductance of a neighborhood graph defined on a random sample from M.
Arias-Castro, Ery +2 more
core +3 more sources
Density bounds for outer parallel domains of unit ball packings [PDF]
, 2014 We give upper bounds for the density of unit ball packings relative to their outer parallel domains and discuss their connection to contact numbers. Also, packings of soft balls are introduced and upper bounds are given for the fraction of space covered ...
Bezdek, Karoly, Langi, Zsolt
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Vold og Volde i et stormfuldt landskab
Kulturstudier, 2022 Denne artikel fokuserer på de mange ruiner af bunkers fra Anden Verdenskrig, som stadig sætter deres præg på den jyske Vesterhavskyst. Dens anliggende er at undersøge denne tunge, komplekse og uafklarede kulturarv, der i dag er vokset sammen med kystlandskabets natur, i en nutids- og efterkrigsoptik.
openaire +4 more sources
Kneser-Poulsen conjecture for a small number of intersections [PDF]
, 2013 The Kneser-Poulsen conjecture says that if a finite collection of balls in a d-dimensional Euclidean space is rearranged so that the distance between each pair of centers does not get smaller, then the volume of the union of these balls also does not get
Gorbovickis, Igors
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Detection of partial demagnetization fault in PMSMs operating under nonstationary conditions [PDF]
, 2016 Demagnetization fault detection of in-service permanent magnet synchronous machines (PMSMs) is a challenging task, because most PMSMs operate under nonstationary circumstances in industrial applications.
Blaabjerg, Frede +5 more
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, 2018 Little known relations of the renown concept of the halfspace depth for multivariate data with notions from convex and affine geometry are discussed. Halfspace depth may be regarded as a measure of symmetry for random vectors.
Nagy, Stanislav +2 more
core +1 more source
On the performance of densified DVB-H single frequency networks [PDF]
, 2006 The broadcasting of TV programmes to mobile phones can be enabled by the newly developed technology called Digital Video Broadcasting-Handheld (DVB-H). Because of the scarcity and cost of frequency resources, frequency reuse needs to be considered when ...
Owens, TJ, Song, YH, Zhang, C
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A multivariate Gnedenko law of large numbers
, 2013 We show that the convex hull of a large i.i.d. sample from an absolutely continuous log-concave distribution approximates a predetermined convex body in the logarithmic Hausdorff distance and in the Banach-Mazur distance.
Fresen, Daniel
core +1 more source
Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields [PDF]
, 2012 Consider a $d\times d$ matrix $M$ whose rows are independent centered non-degenerate Gaussian vectors $\xi_1,...,\xi_d$ with covariance matrices $\Sigma_1,...,\Sigma_d$. Denote by $\mathcal{E}_i$ the location-dispersion ellipsoid of $\xi_i:\mathcal{E}_i={
Kabluchko, Zakhar, Zaporozhets, Dmitry
core