Sentence examples for exist a subsequence of from inspiring English sources

By the level compactness of on, there exist a subsequence of of and such that.

Assume that, then there exist a subsequence of and a real number, such that (2.6).

By the semicompactness of, there must exist a subsequence of such that (2.37).

Since is closed and, we conclude that there exist a subsequence of and such that (2.21).

Since is bounded in, there exist a subsequence of and with and on, such that (3.10).

By the boundedness of, there exist a subsequence of such that.

Correspondingly, there exists a subsequence of.

Take arbitrarily, then there exists a subsequence of such that.

Then, there exists a subsequence of {y n } such that.

Thus, there exists a subsequence of such that (2.30).

If not, there exists a subsequence of ({{y}_{j}}).