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In the literature, empirical methods seek to conclude the convergence through bias and/or variance evaluation.
We also show that our result can conclude the convergence for the Mann algorithm while this is not the case in Theorem 1.2.
We conclude the convergence of a subsequence, denoted by { u n }, weak into W ( 0, T ; V ), weak-star in L ∞ ( 0, T ; H ) (by [20], Lemma 4]) and strong in L 2 ( 0, T ; H ) to functions u ( x, t ) ∈ W ( 0, T ; V ).
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By using Lemma 3.1 and the proof technique usual in projection-type methods, we easily conclude the global convergence of Algorithm 2.1.
Remark 2.6 We cannot conclude that the convergence of the subsequence { q i } i ∈ N is uniform for t ∈ R.
and is satisfied if or Combining with (5.18), we conclude that the convergence of the scheme (5.20) is quadratic if.
In particular, we can conclude that the convergence result of the Mann iteration which cannot be deduced from Panyanak's results.
With talks resuming between opposing parties at the White House on Nov. 16, one might conclude that the convergence of opposing ideas has resumed.
So, the assumption that z does not converge uniformly to w for t → ∞ leads to a contradiction and we conclude that the convergence is, in fact, uniform.
Since is an arbitrary weakly convergent sequence of, we can conclude that convergence strongly to.
It is concluded that the convergence improvement based on all the three nonlocal models is almost same and the nonlocal scale parameter in the range of 0.5 3% of plate/panel dimensions yields a good convergence rate.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com