Sentence examples for maps are continuous from inspiring English sources

In addition, we demonstrate that the groups have a natural pseudopolonais structure, and we prove that various KK-structural maps are continuous.

Moreover, both maps are continuous.

Definition 2.1 An n-BK-space ( X, ∥ ⋅, …, ⋅ ∥ ) is an n-Banach space of real sequences x = ( x k ) in which the co-ordinate maps are continuous.

(d) In all results mentioned above, the restrictive assumptions about metric spaces or quasi-gauge spaces, which must be Hausdorff and complete or sequentially complete, respectively, or maps are continuous, are essential.

Because the maps, are continuous, then the cycles of (2.1) inherit the stability of and under the monotonic map Finally, when has no fixed points, then we have a monotonically increasing function below and obviously, orbits go negative in finite time.

Since every Lipschitz map is continuous, we would not make any continuity assumption on our mapping T throughout this paper.

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.

The map is continuous on.

Then the mapping is continuous.

(c the mapping is continuous, for each.