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It is not about the approximation of the nonlinear model but the approximation of the state's probability density function [18].
To prove Lemma 7.2 we will need the following version of the Runge theorem about the approximation of solutions of the equation in a smaller domain by solutions of the same equation in a larger domain.
We elaborate on results about the approximation of nonlinear systems and their optimal control, and then combine the theoretical conclusions together with numerical strategies for identification, filtering, and updating, which take into account possible changes in the structure or the values of the coefficients of the original system.
In the theoretical prediction methods, there is some ambiguity about the approximation of M e [ 5, 23], with proposed values equal to: a) 2 N eL/ln(4 N eL); b) 4 N eL and c) 2 N eL.
The same provisos about the approximation of an IV estimate to a population-averaged causal effect being valid only for small changes in the exposure and for IVs with a small effect on the exposure therefore apply equally for localized average causal effects.
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This allows one to prove new results about the eigenvalue problem, especially about the uniqueness and the approximation of solutions, and about the structure of fixed point sets.
Mr. Diamond, 44, wheezes out the approximation of a laugh.
And the approximation of truth, the presentation is everything.
We show that our MMFIS estimator has a mean-squared error that is up to a constant lower than the mean-squared errors of the corresponding estimators that uses any of the given surrogate models alone even in settings where no information about the approximation qualities of the surrogate models is available.
At other times, in Simon Stephens's version, it seems like a meditation on language: as The One protests about the bare approximation of what he feels to what he says, I was reminded of TS Eliot's Sweeney vainly crying "I gotta use words when I talk to you".
Moreover, the proposed method provides more accurate robustness measures when compared to methods based on the linear approximation of the system about the nominal periodic orbit, as it is shown in the first application example.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com