Sentence examples for a complete subset of from inspiring English sources

Define a complete subset of by (4.10).

Suppose, for example, that is a complete subset of.

Define a complete subset of the Euclidean space by (4.4).

Suppose that S ( X ) is a complete subset of X.

In the case where, define a complete subset of the Euclidean space by.

Then X is a complete subset of (mathbb{R}) endowed with the Euclidean metric.

From Theorem 2.3, ( A, ⪰ ) is a chain complete subset of ( X, τ, ⪰ ).

Corollary 2.7 Let C be a nonempty complete subset of a convex metric space X.

Theorem 2.6 Let C be a nonempty complete subset of a convex metric space X.

Theorem 1 S. Let be a nonempty separable complete subset of a metric space and a continuous random operator satisfying condition (A).

Let X be a tree and M a nonempty externally complete subset of X.