Sentence examples for there exists a -sequence from inspiring English sources

For, there exists a -sequence for.

If, then there exists a sequence in such that.

that is, there exists a sequence satisfying (4.21).

By definition of, there exists a sequence in with.

From, there exists a sequence in such that and hence.

Then for any there exists a sequence of trigonometric polynomials (1.8).

By the definition of infimum there exists a sequence, such that.

Since is a -nonexpansive-type map, therethexistsists a sequence such that (2.22).

By Lemma 2.1, there exists a sequence of points, and such that (3.1).

Let be a sequence in, then there exists a sequence such that.

Thus, for an arbitrary sequence with, there exists a sequence such that (4.18).