Sentence examples for asserted that the sequence from inspiring English sources

The weekly Novaya Gazeta asserted that the sequence of events bore the bloody fingerprints of the separatists and dismissed Chechen denials: "This is the standard approach of Chechen fighters".

As in Theorem 3.1, it can be shown that the sequence {x n } is a Cauchy sequence and hence converges to some element x in A. Further, as in Theorem 3.4, it can be asserted that the sequence {Tx n } is a Cauchy sequence and hence converges to some element y in B. Therefore, it follows that d ( x, y ) = lim n → ∞ d ( x n + 1, T x n ) = d ( A, B ).

Janet Turley of The Huffington Post asserted that the sequence was "fiction not afraid to provoke", while Goldman described it as an "absolutely horrific scenario".

Kirkman asserted that the sequence added dimension to the storyline, and concluded that by the ending of the episode, the audience will no longer identify Shane as an antagonist.

We assert that the sequence { x n } is Cauchy.

Consequently, this fact asserts that the sequence { d ( x n, p ) } n = 1 ∞ is bounded.

This asserts that the sequence ({x_{n}-x_{0}}) is uniformly convergent too.

Since and, we can assert that the sequence converges to some element and the sequence converges to some element.

(4.13) From (4.13) and (4.11), we can assert that the sequence generated by the proposed method is globally convergent.

Then (ABHN) asserts that the sequence begin{aligned} 0 rightarrow mathrm{Br}(k) longrightarrow bigoplus _{v in V^k} mathrm{Br} k_v) mathop {longrightarrow }limits ^{Sigma } mathbb{Q }/mathbb{ Z }rightarrow0, end{aligned} (ABHN where (Sigma ) is the sum of the invariant maps, is exact (cf. [3, Chap. 7, 9.6], [19, 18.4], and also [11, 6.5] for the function field case).

Therefore, relations(3.20), (3.21), (3.22), and (3.24) allow to assert that sequence is bounded in and so, as for every, (3.25).