For example, he showed that the order of points formed by intersecting lines is always invariant, regardless of any spatial transformation.
The mayor and the schools chancellor, Joel I. Klein, also noted that the language used by dissenting members and the order of points made in support of the delay were often identical, suggesting that a coordinated effort to delay a vote was underway, two aides to the mayor said.
The definition of ⊕ in (2.3) is an ordered one in the sense that it depends on the order of points v 1, …, v n.
The definition of ⨁ is an ordered one in the sense that it depends on the order of points x 1, …, x N.
The Fréchet distance constitutes a measure of similarity between curves, which takes the actual position and order of points along the curves into consideration.
ApEn accounts for the temporal order of points in a time sequence and is therefore a preferred measure of randomness or regularity.
Different insertion order of points would result in different but equally good hierarchy construction.
Within each magnification by amplitude combination, the order of pointing to the eight angles was randomized as well.
Accordingly, the cumulative normalized intensity of the nth highest data point x is given by: (1) where I x) is the intensity of point x and Rank(x) represents the order of points if sorted by intensity in descending order.
However, determining the ordering of point sets is not a trivial task, and in the method described herein, we relax this assumption by making no prior hypothesis about the ordering of the points.
