Figure 2

Minkowski distances. (A) Example with Minkowksi distances for the case where δ represents a difference of segment means. Each point represents the value of a probe for the LRR (y-axis) and imBAF (z-axis) variables at its corresponding index (x-axis). Black dots: informative SNPs. Grey dots: non-informative SNPs. Red lines: segment means calculated from informative SNPs. Blue lines: Minkowski distances, between the two segments, of order 1 (the sum of the dashed lines, which correspond to δ _LRR and δ _imBAF ), 2 and infinite. Green shapes: lines that delineate mean differences with the same Minkowski distances of orders 1 (rotated rectangle), 2 (oval), and infinite (rectangle), with respect to the first segment mean. (B) Shapes in the bidimensional space of Minkowski distances of different orders.The points that make up each shape are, from the shape’s centre, at an equal p -order Minkowski distance.