Sentence examples for is extensive that from inspiring English sources

According to Bourbaki's fixed point theorem (cf. [1, 2]) a mapping from a partially ordered set into itself has a fixed point if is extensive, that is, for all, and if every nonempty chain of has the supremum in.

It was found that the market for social knowledge is extensive, that a broad range of academic researchers across disciplines engage in this activity, and that applied work is becoming more of a structural component in the portfolio of many researchers.

In summary, we have shown that antimicrobial resistance in clinical H. pylori isolates is extensive, that it varies from year to year, and that resistant isolates are more common among blacks.

Well, there is extensive evidence that supports the cooling of the hands, face and feet.

Damage is extensive on that part of the island, where the LIRR station flooded before the storm even hit New York.

However, there is extensive evidence that lost participants are qualitatively different than participants who complete study follow-up.

There is extensive literature that supports the relationship between atmospheric diesel particulate matter (DPM) and adverse human health effects [ 1- 11].

There is extensive evidence that shows users perceptions of quality of care have a strong influence on utilization [ 1, 2].

"There is extensive research that demonstrates that inappropriate portrayal, or reporting, of suicide can lead to imitative or 'copycat' behaviour among vulnerable people," adds Kirby-Rider.

Most significantly, there is extensive evidence that stands in stark contrast to this claim".

Now the answers to (b): There is extensive evidence that dietary supplements can, if misused, be quite dangerous.