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We prove consistency results of our method.
We prove consistency at all points, including the sonic points.
We prove consistency and stability of the proposed dG scheme.
Moreover, under mild assumptions, I prove consistency of this smooth approximation for both minimizers and stationary points of the target optimization problem.
We prove consistency and convergence to mixtures of normal laws, where the mixing variates depend on the chronological local time of the underlying process, that is the time spent by the process in the vicinity of a spatial point.
In order to prove consistency of the proposed values the vaporization enthalpies obtained by combination of both were compared to vaporization enthalpies obtained by the group-additivity method and the correlation-gas chromatography method.
It is this latter feature that makes the calculus convenient for the purpose of proving consistency.
We prove consistency and asymptotic mixed normality of our estimator of the (random) coefficients in the volatility model and further develop model specification tests.
Usually, the consistency strength of systems has been measured by the system's proof-theoretic ordinal, i.e., the ordinal transfinite induction along which suffices to prove consistency.
We believe that such a number of obtained results and analyzed instances is enough to prove consistency of the proposed optimization concept.
Gentzen's last proof determined the "proof-theoretic ordinal" of Peano arithmetic, namely the one that is needed to prove consistency, with the property that nothing less would suffice.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com