Although the latter is higher-order, viewing positive cones as maximal prepositive cones provides a larger context in which field orderings are extremal partial orderings. Source: Internet
Here sup is the supremum with respect to the orderings in X and Y, respectively. Source: Internet
As such, the other events have one fewer positions available when counting possible orderings. Source: Internet
If the 4 neighbors are all different, then there are two possible orderings of the neighbors around the tetrahedron, which will be mirror images of each other. Source: Internet
It is unclear whether this terminology is also used when more than two orderings are possible. Source: Internet
One approach to generalizing the Kolmogorov–Smirnov statistic to higher dimensions which meets the above concern is to compare the cdfs of the two samples with all possible orderings, and take the largest of the set of resulting K–S statistics. Source: Internet