Sentence examples for root point from inspiring English sources

Let (langle X,rangle ) be a (tau )-basic relation that is antisymmetric and disjunctive, with root point (ain X).

But all the intervals in this case are clearly trivial; so if (ain X) is any root point, the tree order (le _a) is described by saying (xle _a y) precisely when either (x=y) or (x=a).

As we saw in Proposition 5.0.4, if (langle X,rangle ) is a (tau )-basic relation that is antisymmetric and weakly disjunctive, and (ain X) is a fixed root point, then the binary relation (le _a) defines a tree ordering on (X).

The first modification is a "fixed radius" r, or r-LoCoH, method in which all the points in a fixed "sphere of influence" of radius r around each root point are used to construct the local hulls.

In this paper, we present two modifications of the "fixed k" LoCoH method, which has been referred to as the k-NNCH (k-nearest neighbor convex hulls) because each local kernel is a k-point convex hull constructed from a root point and its k-1 nearest neighbors [23].

Instead of choosing, as in the fixed k LoCoH, the k-1 nearest neighbors to each point, we use all points at distance r or closer to the root point to construct the local hull associated with the root and all points within a "sphere of influence" of radius r.

The "caldb" is the CALDB root pointing to "/soft/ciao/CALDB" directory.

A number of equations used for calculating the extreme points and root points were also evaluated.

The Root pointed out in 2010 that, for every $1,000 in album sales, the average musicians make $23.40.

The study pointed out that the probable failure points only existed among extreme points and root points of the limit state function.

Then the original locations of root points were deduced using the ellipse equation obtained, and the root length distribution ratios of different horizontal regions, and different vertical layers in the growth medium were calculated.