Sentence examples for proved a long time from inspiring English sources

Gordon proved a long time ago that he has few equals on a road course.

We prove a long time existence, of order C r)ε−r for all r⩾3, for small solutions, of order ε≪1, in high Sobolev norms of Klein Gordon equation with Hamiltonian nonlinearities.

To prove a long-time benefit of insulin pump therapy compared with other treatment regimen, further studies over a longer period of time with larger patient numbers are necessary.

She continued, "I think the American fashion industry proved that a long time ago.

Because of the switching, the conditions for stabilizing the controlled system had not been exactly proven for a long time.

The association between arterial stiffness and cardiovascular risk has been well proven for a long time [ 5].

An acquisition is likely to prove costly, take a long time to close, and would be a distraction at a time when Microsoft management is rolling out critical new flagship products such as Windows 8. Regarding price, we mention that Nokia's current market cap of $10.8bn £6.8bnn) is more than Microsoft's largest acquisition ever - Skype in 2011 for $8.5bn.

Will they invest in products like "social impact bonds," a relatively new financial tool that could aid millions but may not prove fruitful for a long time?

ANNs have been used for classification purposes in myriads of works and have proved the utility for a long time [19]; Figure 1 shows a generic architecture, indicating how the input pattern is processed via the neurons to provide with the output vector, in order to introduce the concrete architecture in the present work.

"We are trying to build something that can last many years, and these stories have proven themselves already over a long time.

Vascular surgeons use an anastomosis technique that has proven its efficiency for a long time.