On Ball Numbers

Wolf-Dieter Richter
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Wolf-Dieter Richter: Institute of Mathematics, University of Rostock, Ulmenstraße 69, Haus 3, 18057 Rostock, Germany

Mathematics, 2019, vol. 7, issue 8, 1-10

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 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.

Keywords: norm and antinorm ball; matrix homogeneous ball; star body; star radius; norm and antinorm radius; p -spherical radius parameter; dual surface content measure; density normalizing constant; crystal breeding; temperature expansion (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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