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This is an easy consequence of the contractivity of.
Similar(59)
end{aligned} Obviously, in the future, new contractivity conditions will appear involving more and more terms in the right-hand side of the contractivity inequality.
We provide here an idea of the proof of the contractivity (and hence of the uniqueness) of the EVI gradient flows.
As we can observe, each time, more and more terms have been included in the right-hand side of the contractivity inequality.
end{aligned} As a result, the contractivity condition is verified.
"The Economic Consequences of the Peace".
What were the consequences of the fight?
Unlike most of existing methods which require the contractivity of their domain of definition, the proposed control Lyapunov functions are defined over a so-called N-step controllable set, which is known not to be contractive.
Thus, we restrict very much the set of pairs of point for which the contractivity condition must hold.
The following consequence is another way to interpret the contractivity condition that can be useful.
Using the contractivity of we have (2.59).
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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