Sentence examples for and subsequence of such from inspiring English sources

Then there exist and subsequence of, such that.

and so there exist and a subsequence of such that.

This implies, and so there exist and a subsequence of such that.

(ii) If has compact values (i.e., is a compact set for each ), then is u.s.c at if and only if, for any sequence with and for any, there exist and a subsequence of such that.  .

If has compact values (i.e., is a compact set for each ), then is u.s.c at if and only if, for any sequence with and for any, there exist and a subsequence of such that.

Thus, for any sequence with and for any, there exist and a subsequence of such that.

Then there exist and a subsequence of such that (2.20).

Byρ-compactness of C there exist and a subsequence of such that (4.22).

Suppose on the contrary that there exist an and a subsequence of such that for every.

By contradiction, there is a number and a subsequence of such that.

This implies that there exist and a subsequence of such that (2.23).