%0 Journal Article %T On Ball Numbers %J Mathematics | An Open Access Journal from MDPI %D 2019 %R https://doi.org/10.3390/math7080738 %X 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. View Full-Tex %U https://www.mdpi.com/2227-7390/7/8/738