Sentence examples for above facts from inspiring English sources

One of the above facts is entirely made up.

It doesn't matter that some – or none - of those above "facts" may turn out to be true later.

follows from the above facts.

From the above facts, we show the following.

Thus, we can restate the above facts as follows.

From the above facts, we get the following results.

Now using the above facts, one can obtain (40).

Given the above facts, estimating the direction of future earnings was a relatively easy chore.

By using the above facts, we can prove the following theorem.

Motivated by the above facts, we investigate this case in this paper.

By using above facts, we can show that all assumptions of Corollary 2.7 are satisfied.