Sentence examples for metrics in the sense of from inspiring English sources

In this paper we present new examples of fuzzy metrics in the sense of George and Veeramani.

72 2259-2261, 2010), we prove some equivalences between vectorial versions of fixed point theorems for H-cone metrics in the sense of Arshad and Ahmad and scalar versions of fixed point theorems for (general) Hausdorff-Pompeiu metrics (in usual sense).

Recently,Gregori et al.[4] gave many interesting examples of fuzzy metrics in the sense of Georgeand Veeramani [3] and have also applied these fuzzy metrics to color image processing.Several researchers proved the fixed point theorems in fuzzy metric spaces such asin [5 20] and the references therein.

Since various rankings do not consider citation metrics, the question arises of whether the survey and evaluation of citation metrics lead to a meaningful, in the sense of substantial and desirable, extension of the research rankings.

We cope with the fuzziness of imprecise metrics in the sense that this approach deals with linguistically expressed preferences and cloud service characteristics that lack a fixed or precise value and entail a level of vagueness which can only be captured using the Zadeh's Fuzzy Set Theory.

The previous section shows that the couple of unit test case metrics TLOC and TINVOK is overall the best representative subset of the initial suite of unit test case metrics in the sense that these metrics are the most independent unit test case metrics maximizing information.

Assume that the metrics d and d are compatible in the sense of preserving convergence.

Assume that the metrics d and d are compatible in the sense of preserving continuity.

Proof Since d is defined in (5) or (6), we immediately have that the metrics d and d are compatible in the sense of preserving convergence.

Theorem 2.14 Suppose that the quasi-ordered metric space ( X, d, ⪯ ) is mixed-monotonically complete, and that the metrics d and d are compatible in the sense of preserving continuity.

Theorem 3.2 Suppose that the quasi-ordered metric space ( X, d, ⪯ ) is monotonically complete, and that the metrics d and d are compatible in the sense of preserving continuity.