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In support of this conclusion, convergence behaviors of solutions of Burgers' equation and an interacting boundary layer problem are examined.
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For the series of solutions of Problem 5, we have the following conclusion of convergence.
Essentially, we can only say that the currently used methods do not allow for any conclusion on convergence.
Moreover, the authors [11] obtained the same strong convergence conclusion as in Huang's result [10].
But Creary (1969, Ch. 5) points out that there is no reading of such a conclusion about efficient convergence that follows from the premises Reichenbach assumes.
Moreover, the authors of [29] obtained the same strong convergence conclusion as in Huang's result [9].
The first part of this conclusion, the overall convergence, is much in line with previous research on both Swedish and US data.
We will now prove ASF under the weaker hypothesis that (fin F^2) and with a weaker conclusion on the convergence of the series.
Additional arguments (explained in detail below) lead to the conclusion that the convergence is uniform for x ∈ ℝ.
There exist M 1, M 2, M 3 > 0, for ∀ α ∈ X, such that ∥ α ∥ ≤ M 1 ∥ α ∥ 1 2 ≤ M 2 ∥ α ∥ 1 ≤ M 3 ∥ α ∥ 2. In order to prove the corresponding convergence conclusions, some preparatory lemma, which can simplify the proof procedure, has to be proved firstly.
The derivatives were used as an empirical validation to our conclusions about the convergence rate.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com