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1998 Fields Medal winner Richard Borcherds succeeded to prove the monstrous moonshine conjectures, a surprising and deep relation of the largest finite simple sporadic group the "monster group"—with certain modular functions, a piece of classical complex analysis, and string theory, a theory supposed to unify the description of many physical phenomena.
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Employing a Mehler type formula that is isometric in (L^{2}), Carles [1] found the deep relation of solutions between the critical nonlinear Schrödinger equation with an attractive potential ((theta<0)) and the one without potential.
"We have deep relations with the people of La Crosse.
And as the movie reaches its finale without the bolstering of religious faith, it poses deep, unanswerable questions about the relation of the body and the spirit.
"We really have deep relations on all sides of the conflict".
In Section 7, we point out the relation of the presented techniques to deep learning-based architectures.
So bounded derivations of (C^ -algebras have deep relations with generators of (C^ -algebrasl systems.
I think, rather, that Swanberg is digging deeper into the twin essence of mumblecore: the relation of the filmmaker to the performer, and the relation of documentary and fiction.
Non-triviality of such a measure is due to the condition (1.1) on the potential V. We believe that it would be interesting to study the deeper relation between properties of V and the measure (sigma ).
Here we keep the second-order terms in order to see deeper relations among the parameters of the two-periodic solution and two-soliton solution.
"You asked if I think friendship is an authentic thing, and I do: some people you have super deep relations with, share a lot of buried stuff, and with others you have a history of good times and laughs.
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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