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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.
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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"We really have deep relations on all sides of the conflict".
So bounded derivations of (C^ -algebras have deep relations with generators of (C^ -algebrasl systems.
"We have deep relations with the people of La Crosse.
"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.
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 ).
"Still, salespeople develop deep relations with clients.
The United States should seek good and deep relations with China.
It can put your deep relations too at stake.
NEW DELHI — With both poetry and prose, the United States pledged Monday to embark on a new era of deeper relations with India — a partnership of what Secretary of State Hillary Rodham Clinton likes to call the world's largest democracy and its oldest continuously functioning one.
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