Sentence examples for on the initial point from inspiring English sources

Then the following hold: (i) does not depend on the initial point.

(P Yto Y) is a nonexpansive mapping; (P z)) does not depend on the initial point (v_{1}).

To emphasize the dependence of the solution on the initial point n0 and the initial functions ϕ, we may use the notation x(n) = x(n; n0, ϕ).

Side crash is defined based on the initial point of impact, which was categorized based on clock points as shown in Fig. 2 (NHTSA 2015).

As before, wecan use the explicit formulas for h k, m 2 k, m 3 k to derive explicit conditions on the initial point ( m 2, m 3 ) for when this is true.

If (P z)=lim_{ntoinfty}v_{n}) for each (z in Y) then (P Yto Y) is a nonexpansive mapping; (P z)) does not depend on the initial point (v_{1}).

Secondly, AP provides a deterministic result, unlike other clustering algorithms whose performance depends on the choice of the initial point.

The next iteration is obtained by the projection of the initial point on a regress region (the intersection of three sets).

Especially, PSO will be less dependent on the set of the initial points compared to other methods, which implies that the convergence algorithm is robust.

Accordingly, we initiate a few trials under "relaxed" tolerance conditions using a robust algorithm that is less dependent on the quality of the initial points.

He supposed he was given a space (he called it a 'manifoldness') in which one can at any point impose a coordinate system at least on all points near to an arbitrary initial point, and if, when one does that, every point is related to the initial point by a list of n numbers he said that the space is n-dimensional.