Sentence examples for necessary gives from inspiring English sources

The number of bifurcation parameters necessary gives the codimension of the bifurcation.

The fact that in 2 thirds of the patients with preexisting renal function no RRT is necessary, gives evidence that cautious operative strategy and prudent perioperative management can avoid postoperative RRT.

But the increases were seen as necessary, given the increased borrowing costs for Fannie and Freddie.

This may be necessary, given the paces that Mr. Mitchell puts them through.

"While it's painful for our employees and suppliers, it's absolutely necessary given economic circumstances.

For their part, state officials said, such steps may be necessary, given current economic exigencies.

Russian officials justify the expenditures as necessary given the destruction and the security needs there.

Before the game, he acknowledged his reorganizing was necessary given the team's problems.

He said it was necessary, given the needs of his state at the time.

This is probably necessary, given the need to co-ordinate the regulation of multinational companies.

A quota is both fair and necessary, given the collapse of the current system.