Sentence examples for required fact from inspiring English sources

Furthermore, H ′ satisfies all conditions of Theorem 10.2, so that the required fact follows immediately from that theorem applied to H ′ and from the surjectivity of the above maps.

Because all 3 conditions required fact learning, comparisons among the categories should cancel-out domain-general conceptual processes, leaving only domain-specific conceptual processes.

end{aligned}This yields both of the required facts for (Lambda ) and concludes the proof. square ). square

The required facts emerge from the problem-solving method and cover all facts that are necessary to conduct the intended decision.

Any remaining knowledge gap between required and available facts has to be closed primarily by rules and mash-ups to generate or transform the required facts automatically and keep everything up-to-date.

I was given a thousand dollars to pay my expenses in obtaining the required facts.

The government should follow through on proposals to require fact boxes, similar to those that appear on food packaging, in every ad drug makers produce and along with every package of medication they sell.

To oppose the recommendations, however, requires facts and argument, not invective.

It requires facts not observable (invisible forces) and does not account for other facts (like tides) that we can see.

According to the Times, he dodged four questions and was fact-checked five times by the moderator; Clinton dodged nothing and did not once require fact-checking.

No. Officers can still legally search motorists if they have probable cause, which requires facts or evidence leading them to believe that someone is involved in criminal activity.