Sentence examples for proved in the case of from inspiring English sources
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.
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.
There was only one problem: American intelligence, which received the same reports and published them in a classified National Intelligence Estimate in October, quickly concluded that the charges were based on fraudulent documents in the case of one country, Niger, and couldn't be proved in the case of two others.
Whereas switching behaviour of Nb/anodic Nb2O5/Pt cells was not reliable, good endurance and retention performances were proved in the case of Hf/anodic HfO2/Pt cells, showing that electrochemical growth of the oxides can be a reliable way to fabricate solid electrolytes for resistive switching memories.
The free radical origin of these products has been proven in the case of TBP by the addition of TEMPO in the reaction medium.
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.
They've already proven in the case of arresting one man spotted by their CCTV network in a crowd of 60,000 people exactly how poorly this could go.
As (47) and (50) are established, Lemma 1 can be proven in the case of ∀x1y1 ≥ 0.
