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We apply a version of transition state theory with satisfactory results.
For this purpose, we apply a version of symmetric mountain pass lemma in [17].
Second, we apply a version of the Breuer Major Theorem adapted to our upward crossing setting which we present in Sect.
Additionally, we apply a version of the Hausman (1978) test to ensure that SDS is an exogenous parameter of our regression models.
In the first step of our modeling we apply a version of well-known ETAS Model (Ogata, 1998), in order to describe the short-term clustering of seismic events in space and time.
Finally, in order to deal with the system (1.2) in a Lipschitz domain, we apply a version of the Fefferman Stein sharp function theorem for spaces of homogeneous type, which was recently proved in [12] (cf. Lemma 7.3).
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Second and more importantly, I have applied a version of our adjustment for house effects, which are persistent partisan leans within the polls either for or against Mr. Obama.
This is achieved by considering the distribution of the first component of the bivariate signed root transformation, and then by applying a version of Stein's identity and very weak expansions to determine the correction terms.
Maraniss, a Washington Post veteran and author of a celebrated biography of Bill Clinton and other works, has (with assistants whom he credits) applied a version of the Robert Caro treatment to a politician who, unlike Caro's Lyndon Johnson, is still in his functioning prime.
We define the approximate solution in the whole polygon G by applying a version of the Block-Grid method introduced in [8] (see also [9]).
Later, Sine [3] gave a simple proof of Theorem 1.2 by applying a version of the uniform boundedness principle and the convex combination of a sequence of metric projections onto closed and convex sets.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com