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At the laying of the foundation stone, Pugin announced that he would not rest until the cathedral bells "drowned out the steam whistle and the proving of the gun barrels".
The proving of the convergence of PCFNN is provided.
In the proving of the generalized stability - part of the existence - the following lemma is very useful.
In this section, we present some useful assumptions and state several lemmas which will be useful in the proving of the main results.
Supposing that the initial functions are small perturbations of the constants we derive a priori estimates for the solution independent of, which we use in proving of the stabilization of the solution.
It was in the course of proving of the existence of an optimal equilibrium in his 1937 model of economic growth that John von Neumann introduced functional analytic methods to include topology in economic theory, in particular, fixed-point theory through his generalization of Brouwer's fixed-point theorem.
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The attribute, rather than a material definition, will simply be the property proved of the subject.
Xinjian Zhang suggests some ideas for the prove of the main theorems.
The perverted state of the union is inescapable, and we encounter prove of the perversion every day.
For a public figure to prove defamation, s/he must prove all of the elements above.
Philosophy, he jeered, was incapable of proving the existence of God, or even of proving the impossibility of there being two gods.
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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