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And then we state a Poincare type inequality involving the function, which have been found in [17] and, in a sharp way, in [18].
Since the behaviour of Riesz potentials with respect to various relevant function spaces is known (see for instance [1, 26]), using (5) allows to infer size properties of solutions from those of the relevant potentials, and in a sharp way.
If true, this would explain in a sharp way why psychology and biology might have a real claim on our opinions while morality and alchemy and various crackpot theories do not.
The above estimate allows to derive, in a sharp way, almost all types of local estimates starting by the properties of the Riesz potentials, whose action in several function spaces is in fact known; for this we refer to [28, 29].
"I think I use satire on some representations, in the sense that I tell some truths that apply to all of us, in a sharp way," Papadopoulos says.
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Mr. Biden has at times framed the race in a sharper way than his running mate might.
Cartoonists put things in a sharper way and you accept that.
This striking result suggest that the high DEFA 6 overexpression is the hallmark of adenoma, since the expression threshold of 60 fold (see Figure 4) discriminates adenoma from carcinoma in a sharper way than many other disease markers for individual patients and may thus be envisioned as a simple auxiliary diagnostic tool for the clinical histologist.
This proposal draws the theory-observation distinction in an apparently sharp way by means of relativizing that distinction to a particular theory.
In "Being Earth," the poet E. J. McAdams read while his daughters, Lyla, 11, and Jane, 5, jumped on a trampoline and taunted each other in a sharp, sisterly way.
I think that that show had dealt so well, in such a smart, sharp way, in dissecting guys that I think bros, all the bros out there, like, really liked the chance to jump on it, finally, to a certain degree.
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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