Sentence examples for a continuous distance on from inspiring English sources

Assume that (H) preserves a continuous distance on (Y).

Together with Theorem 2.4, this fact yields that if (Y) is paracompact, the groups acting properly and effectively on (Y) by biholomorphisms are exactly the closed subgroups of (mathrm{Bihol}(Y)) that preserve continuous distances on (Y).

Consequently, it is possible to obtain a notion of distance between two clusters based on Granger causality, i.e., a continuous measure (distance in terms of Granger causality) instead of a discrete measure (presence or absence of an edge).

Note that in general any continuous inner distance on a locally compact Hausdorff space induces its topology (see [5]).

Let ((X,d)) be a complete metric space, and (q: X times Xrightarrow [0, infty)) be a continuous (w^{0} -distance on X and a ceiling distance of d. Suppose that (T: X rightarrow X) is a w-generalized weak contraction mapping. Then T has a unique fixed point in X.

Bivariate correlations between genetic, Euclidean and temporal continuous distances were computed on the 122 PRRSV wild-type strains using 7381 different pairwise combinations.

The pair maintains a continuous long-distance relationship via male long call vocalizations.

First, we considered residential distance to nearest major roadway as a continuous variable on both the original scale and after taking the natural logarithm.

The National Hurricane Center (//www.nhc.noaa.gov/) maintains a continuous watch on tropical cyclones.

"It is part of a continuous siege on the Palestinian people".

Let,, is continuous and, is a continuous function on.