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Theorem 4.1 implies (C^{1,1}) regularity away from (Gamma ^1) in the case the coefficients (g_i) are regular enough to provide (C^{1,1}) solutions away from the free boundary, i.e. Theorem 1.2.
Regarding the regularity conditions in Definition 4.1, we note that (widetilde {F}) will be regular enough if and only if F is regular enough (because exp(X t)) is a sufficiently regular functional).
To solve this difficulty, we had to assume that the function p is regular enough; this allows us, via an integration by parts to increase the regularity of the nonlinear term N ( t ) at the expense of Lipschitz regularity on p. Step 1. Proof of ( 21 ) and ( 22 ).
The flow of seeding material during conveying must be high and regular enough for a high-speed seeding.
While there have been positive roles on British television, these are usually not regular enough to make a long-lasting cultural impact.
One earlier idea was to use the space shuttle as a regular garbage disposal vehicle, but shuttle flights never became regular enough or frequent enough.
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It would be big enough, strangely shaped enough, and perhaps irregular, or non-regular, enough, for some engineer to have positioned it for maximal effect, or, sighing, for two astronauts to climb up on it to fix some broken bit (an adventure which could then later be made into a summer hit at the exoplanet's multiplex).
You can brew a small cup of very strong coffee, enough coffee for a regular cup, or even enough to fill an oversized travel mug.
"Is regular clean enough for your family?," says the salesman as the children choke and sputter behind him.
First, engage in strenuous mental activity on a regular basis, enough to make you feel unpleasant in the moment.
It means embracing the basics: regular meals, enough sleep, a little exercise, time spent being present with those we love and who love us.
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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