Sentence examples for asserts that the sequence from inspiring English sources

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.

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).

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".

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

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.

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.

The Cancun agreement asserts that adaptation must be given the same priority as mitigation (I.2 (b)).