Sentence examples for commonly proved from inspiring English sources

The existence of solutions of them are commonly proved by suitable fixed point theorems.

Now-a-days, several efforts have been made in search of potent anti-hypertensive drugs because hypertension was commonly proved to cause heart failure.

In at-risk patients who have received trimethoprim sulfamethoxazole (TMP/SMX) prophylaxis, filamentous fungal pathogens appear to be predominant, yet commonly not proven at the time of treatment initiation.

Analysis results revealed that though there had been significant variation among all 13 purslane accessions for measured parameters commonly it has been proved as a high salt-tolerant crop plant capable of producing satisfactory amount of dry matter content which is a great demand for any salt-tolerant plant species.

As such there are no commonly used drugs proven to raise the risk for Alzheimer's, but there are many drugs that can potentially cause memory problems.

And the logic is unavoidable: if mere fictions can be taken to be real on the basis of relics, then religious relics, commonly used to prove the veracity of religion, may be fictions, too.

Seasonal litterfall patterns, which have been more commonly studied, may prove a reasonable proxy for nutrient input in forests.

The following lemma is commonly used in proving the convergence of the iterative algorithms in a Banach space.

We do not apply any of the results known in the literature about differential inequalities commonly used to prove blow-up.

The stability criterion proposed by Popov is commonly used to prove the stability of systems with interconnected memoryless nonlinearity and rational linear system.

The success of our result is based in a detailed analysis which is different from the ones commonly used to prove blow-up.