Sentence examples for minimal normalized point from inspiring English sources

We optimized the parameters from all models to get the minimal normalized point process distance between predicted and actual boundaries in each sentence.

So, from now on, when referring to the geodesic joining two points, we mean the unique minimal normalized one.

Then (operatorname{exp}_{x} T _{x}Erightarrow E) is a diffeomorphism, and for any two points (x, yin E), there exists a unique minimal normalized geodesic (gamma_{x,y}=operatorname{exp}_{x}toperatorname{exp}_{x}^{-1}y) for every (tin[0,1]) joining x to y.

So from now on, a geodesic means the unique minimal normalized one.

These notations represent the sets of maximal points, minimal points, weakly maximal points, and weakly minimal points of Ω [13], respectively.

The set of all minimal points resp., weakly minimal point of is denoted by (resp.,. Definition 2.2 (see [12]).

An element is said to be a minimal point resp., weakly minimal point of if resp.,.

Since, is the minimal fixed point of and is the maximal fixed point of.

Then the operator T has a minimal fixed point (x^) and a maximal fixed point (y^).

The fundamental concepts of maximal (minimal) point and weakly maximal (weakly minimal) point will be used in the sequel.

b Spectrogram of noisy speech c when normalized frequency point k = 20, d when normalized frequency point k = 60, and e when normalized frequency point k = 120.