Sentence examples for extend the fact from inspiring English sources

Remark 4.8 If we could extend the fact that S ( t ) + U T ↑ lr from t ≥ 1 to t ≥ 0, then we could prove the preservation of log-concavity on ( 0, ∞ ).

How to extend the fact that the electronic configurations of the PTCDI-C7 molecules are modified by the distribution in the thin film, such as induction, conjugation, and electrostatic, remains controversial.

Therefore, many signaling pathways may work together to exert the antitumor effect of deguelin, and our studies extended the fact that deguelin has an applicable potential for HNSCC therapy.

However, the present data extend the notion of fact retrieval to the case of larger addition problems whenever either decade or unit sum of the problem is small.

The real stumbling block, whether you reduce or extend the term, is the fact that you won't pay off the mortgage until you have been retired for six years and managing on a much-reduced income during that time.

But the similarities between the 16th and 44th Presidents extend beyond the fact that both hail from Illinois.

The parallels between the Crimea and the Sudetenland extend to the fact that most ethnic Germans welcomed Hitler's occupation in 1938.Hitler was adept at exploiting the grievances of ethnic Germans who had been parcelled out to other nations as part of the Versailles treaty.

Users of this fourth edition are encouraged to be innovative in finding ways to extend the reach of the Facts for Life messages to help families and communities realize the rights of children and women everywhere.

But it is certain as can be that he only has to extend the number of his facts, or his powers of observation, to get all his generalisations upset.

This fact could extend the delays even further.

In fact, platonists extend the position here even further, for on their view, properties are just a special case of a much broader category, namely, the category of universals.