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Federal prosecutors bit off a lot more than they could prove in the case of Robert A. Freeman, one of three Wall Street stock speculators who were arrested three years ago on sweeping insider trading charges.
We shall prove, in the case of rank one projection operators, that the generating operators for such multipliers are either Riesz bases (exact frames) or not frames for their closed linear spans.
If (operatorname{Sol} u)) has infinite elements, obviously we do not have to prove in the case of J u)= inf_{x^{u} in operatorname{Sol} u) } Jbigl(x^{u},ubigr) = +infty.
If there are infinite elements in (operatorname{Sol} u)), there is nothing to prove in the case of (J u)=inf_{x^{u}in operatorname{Sol} u)} J(x^{u},u)=+infty).
The following assumptions which link p and K allow us to prove, in the case of weakly connected neurons, convergence of the solution of Eq. (1) to the stationary state A ( s ) in (3) with an exponential rate.
This theorem is considerably simpler to prove in the case of Hilbert spaces than in general Banach spaces.
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The free radical origin of these products has been proven in the case of TBP by the addition of TEMPO in the reaction medium.
The East India Company also had the prefix "Honourable". The style may not be assumed by corporate bodies at will, as was proved in the case of the Society of Baronets, whose original style of "Honourable Society" was dropped by command.
In this paper K-closedness is proved in the case of the couple of real Hardy spaces (Hr(Rn),Hp(Rn)) in the corresponding couple of Lebesgue spaces for n−1n
Although he had often, as thou dost know, thrown out these and similar things to shame us, he was not as yet satisfied with that but needs must inflict upon us from day to day new and ingenious kinds of confusion-as he recently proved in the case of our envoys.
There is a long way to go for clubs in Italy to get their grounds on par with the European elite, and Italian bureaucracy can prove a stumbling block on the way to progress, as proved in the case of Berlusconi's Milan.
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