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System invertibility can also be characterized as maximal rank condition which allows to prove the existence of FDI filters under minimal possible conditions.
Since (varphi ) has the same regularity of a convex function, and convex function are locally Lipschitz, it is differentiable Lebesgue-a.e., which allows to prove the following: Given (mu ) and (nu ) probability measures on a domain (Omega subset mathbb R^d) there exists an optimal transport plan (gamma ) for the quadratic cost (frac{1}{2}|x-y|^2).
However we will see that there is a relation between the two derivatives, which allows to prove the following: Assume that (fin C^{infty }_0(Omega times ]0, T[)) in an open set (Omega times ]0, T[). For every (xin Ksubset subset Omega ), for every (i=1, ldots m) there exists the derivative (X_i^epsilon F f)(x,t) ).
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These approaches are based on a theorem proved in this paper which allows to compute the approximate solution at each time step by means of a block-oriented method based on diagonal Padé approximations.
Flatten the roll slightly and allow to prove.
We also prove an analogue of a lemma due to Langlands which allows us to prove a disjunction result for the Cartan decomposition of the p-adic reductive symmetric spaces.
The Court was asked to determine whether the French evidentiary rule which allows plaintiffs to prove the vaccine's defect and causation by "serious, specific and consistent evidence" in the absence of medical research in either direction aligns with the European law of products liability.
The assumption (2.24) is a mathematical assumption which allows us to prove the well posedness of the models.
These problems are also connected with some particular initial and boundary value problems with reflection, which allows us to prove existence of solutions of the latter using the existence of the former.
Dr. Darian McBain, director of sustainability at Thai Union, said "traceability – which allows us to prove that our fish is caught legally and sustainably and that safe labour conditions are met throughout the supply chain – is vital if we are to interest consumers in the source of their tuna" in an interview with The Guardian.
Blake Hall: ID.me is a digital identity network, which allows people to prove they are who they say they are.
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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