Sentence examples for metric defined by from inspiring English sources

Recall the Hausdorff metric defined by (4.2).

For example, let with the absolute value metric, defined by.

For each, let be the metric defined by.

This results in the metric defined by (1).

Let with the River metric defined by (3.44).

Example 1.17 Let and the metric defined by, for all.

Example 2.2 Let X = { 0, 1, 2 } be a set with G-metric defined by Table 1.

Later, regarding the well-known b-metric defined by Czerwik [25], the notion of Branciari metric is refined as b-Branciari metric (see e.g. [26]).

If and are bounded subsets of, let denote the Hausdorff metric defined as usual by.

As a generalization of the Hausdorff metric (d_{H}) in (mathcal {K}(Y)), the supremum metric is defined by d_{infty} u,v =sup_{alphain 0,1]}d_{H} bigl([u]^{alpha},[v]^{alpha}bigr), where (u,vinmathcal{F}_{C}(Y)).

If (X, d) is a cone metric space, we endow the product set X × X by the cone metric ν defined by.