Sentence examples for a relatively compact set from inspiring English sources

Hence, B is a relatively compact set.

So forms a relatively compact set in the space.

A subset is a relatively compact set if it verifies the following conditions.

Prove that ({T_1y:yin Omega }) is a relatively compact set in X.

By Arzela-Ascoli theorem on time scales [31], {Φx : x ∈ U} is a relatively compact set.

Thus, the Ascoli-Arzela theorem guarantees that A ( D ) is a relatively compact set.

Therefore, (U_{1}) and (V_{1}) are a relatively compact sets.

Thus, we conclude that U and V are a relatively compact sets.

(s3) is a weakly relatively compact set.

Assuming that Ω⊂Rn, n⩾2, is an open, relatively compact set with boundary ∂Ω of Lebesgue measure zero we prove strong Feller properties for a class of distorted Brownian motions in ¯¯¯Ω with reflecting boundary condition.

We need a criterion of the relatively compact set in PC ( R, X ).