Sentence examples for has proven necessary from inspiring English sources

So far 'complex quantum mechanics' (CQM) has proven necessary to describe most quantum phenomena, but it is not known if it will remain sufficient.

But it has proven necessary in order to maintain the force," Gates said.

More recently, associating numbers with specific characters has proved necessary to allow automated telegraph printers (teleprinters) and then computers to represent text.

In the case of surveillance and terror laws, no specific threat or incident has proved necessary in claiming more and more of our communications data, and more and more draconian measures against those merely suspected of terrorist involvement.

Gadhi [26] has proved necessary and sufficient optimality conditions for a multiobjective fractional programming problem in terms of convexifactors.

Migrating to Editorial Manager™ (http://www.editorialmanager.com/tjhp) has proved necessary for new online submissions, in order to gain higher flexibility in the system as well as greater reliability.

In the seven years since this program was created, it has not provided any link that has proved necessary to prevent a pending terrorist attack.

It has proved necessary to draw on a wide range of data to estimate the cost impact of the SHDGP diabetes program.

To demonstrate structural learning unambiguously it has proved necessary to train rats on a concurrent series of complex item/place discriminations.

Not all recruits have yet reached their first (2½-year) follow-up date, and the figures below are therefore based on the first 90 000 recruits who have passed this point, plus the further 12 months that has proved necessary to reach a maximum response rate through tracing and reminders.

In fact, the use of a validated typing method and the analysis of unlinked control patients have proven necessary in other studies to demonstrate transmission of P. jirovecii (3 – 7 ).