Sentence examples for mapping is continuous from inspiring English sources

Finally, if, in order to show that, for any, is lower semi-continuous (resp., weakly lower semi-continuous), Lemma 2.1 is no longer needed and the weaker continuity assumption on that, for any, the mapping is continuous (resp., weakly continuous) on is sufficient.

Then the mapping is continuous.

(c the mapping is continuous, for each.

The following mapping is continuous: (2.19).

Since the mapping is continuous for a.e., we have (2.38).

The mapping is continuous and satisfies the condition.

which shows that the mapping is continuous on.

and, for all ; for every and every the mapping is continuous on and the mapping is continuous on ; there are and such that, for all.

We say that is -hemicontinuous if, for any given and, the mapping is continuous at.

In this talk we show that the cut locus of the Brownian map is continuous almost everywhere, and discuss other features of its rich geodesic structure.

The map is continuous for.