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Keywords = norm and antinorm ball

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10 pages, 284 KB  
Article
On Ball Numbers
by Wolf-Dieter Richter
Mathematics 2019, 7(8), 738; https://doi.org/10.3390/math7080738 - 12 Aug 2019
Cited by 3 | Viewed by 2938
Abstract
We first shortly review, in part throwing a new light on, basics of ball numbers for balls having a positively homogeneous Minkowski functional and turn over then to a new particular class of ball numbers of balls having a Minkowski functional being homogeneous [...] Read more.
We first shortly review, in part throwing a new light on, basics of ball numbers for balls having a positively homogeneous Minkowski functional and turn over then to a new particular class of ball numbers of balls having a Minkowski functional being homogeneous with respect to multiplication with a specific diagonal matrix. Applications to crystal breeding, temperature expansion and normalizing density generating functions in big data analysis are indicated and a challenging problem from the inhomogeneity program is stated. Full article
(This article belongs to the Section E1: Mathematics and Computer Science)
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