Sentence examples for the weak limit of from inspiring English sources

Let ω be the weak limit of ({x_{n}}).

It means that the weak limit of q ε 2 does not contain singular measures.

In either case, we have shown that consists of exact one point, which is clearly the weak limit of.

Denote by u the weak limit of the subsequence { u ( n k ) } when k tends to infinity.

We prove that a B-valued distribution μ that is the weak limit of an infinitesimal array is infinitely divisible.

We prove there is a measure dρ∞ which is the weak limit of (1 + α2) dμα(x) as α → ∞.

Roitershtein and Zhong [16] studied the weak limits of extreme values and the growth rate of partial sums.

(1.3) Then the weak limits of ((y_{n})_{ninmathbb{N}}) are fixed points of T, i.e. (omega_{w} y_{n})subset operatorname{Fix}(T)).

It is possible to prove (see Section 8.3 in [84]) that the weak limits of (widehat{E}^tau ) and (overline{E}^tau ) are the same.

The weak limits of a regularized sequence that involves a nonspreading mapping and a triangular-Toeplitz matrix are fixed points of T; more precisely, we will prove the following.

By the boundedness of ((v_{n})_{n in mathbb{N}}), Lemma 1.1 guarantees that the weak limits of the sequence ((y_{n})_{ninmathbb{N}}) are contained in the set of fixed points of T. The previous inequality shows that (omega_{w}(v_{n})subset operatorname{Fix}(T)).