Sentence examples for which are convergent from inspiring English sources

That is, there are such double sequences which are convergent in Pringsheim's sense but not bounded.

Unlike single sequences, there are such double sequences which are convergent in Pringsheim's sense but unbounded.

where and are sequences of closed and convex subsets of and, respectively, which are convergent to and, respectively, in the sense of Mosco (c.f. [11]).

The paper also investigates the characterization of both Cauchy and (G -Cauchy sequences which are converG -Cauchyparticular, to besequencesity points.

We define mathbf{C}_{0}(T,m,epsilon) = sum_{n geq1} mathbf {C}_{0,n}(m,epsilon) T^{n}, qquad mathbf{F}(T,m, epsilon) = sum_{n geq1} mathbf{F}_{n}(m, epsilon) T^{n} which are convergent series on (D 0,mathbf{T}_{0}/2)) with values in (E_{(beta,mu)}).

For chosen in the proof of Theorem 3.5 such that, it is and when, but is a subsequence of which is convergent; hence, the latter converges to.

Therefore, ∃subsequence of ({x_{j}}), which is convergent to (x ^) in X.

We will show that a solution of (E1), which is convergent to c, does not exist.

The first kind of Bessel function is an infinite series, which is convergent for any x∈R.

By Ascoli-Arzela theorem, there exists a subsequence of (which we rename the same) which is convergent in.

Furthermore, since (X_{n} in V), it is easy to get a subsequence of (X_{n_{i}}) which is convergent.