Sentence examples for have given sufficient from inspiring English sources

We have also given the notion of Hyers-Ulam stability for our problem and have given sufficient conditions for EUS and Hyers-Ulam stability.

In the context, we have given sufficient conditions for the local stability and the existence of a Hopf bifurcation by regarding the time delay as the bifurcation parameter.

Many countries have given sufficient emphasis to micro, small, and medium enterprises, and have identified them as a building block for their economic development.

Ross maintains that a responsibility is self-evident 'not in the sense that it is evident from the beginning of our lives, or as soon as we attend to the proposition for the first time, but in the sense that when we have reached sufficient mental maturity and have given sufficient attention to the proposition it is evident without any need of proof, or of evidence beyond itself.

The upgrade would have given sufficient standard to allow FIS Alpine Ski World Cup events in slalom to be held and was part of a municipal strategy to market Oslo as a winter sports destination.

Medical and nursing staff appear to have given sufficient information and answered questions and concerns of the next of kin.

Framing the debate are the broader issues of whether Mr. Greenspan has been overly optimistic about the economy's long-term potential and whether he has given sufficient weight to the possibility that the long run of prosperity would turn out to be nothing more than the upside of a boom and bust cycle.

In 1976, Bharucha Reid [1] has given sufficient conditions for a stochastic analogue of Schauder's fixed point theorem for random operators.

Checking in with students can help an instructor determine "whether or not he had given sufficient instruction" and whether "pacing was fitting the students' needs".

To find out if it indeed had given Hilary sufficient warning, her father asked the railroad for the data in the engine's black box.

This resolved a bank covenant issue and has given Emap sufficient headroom to invest in growing the business, including – potentially – through acquisition.