Sentence examples for essential for our proof from inspiring English sources

The use of the space of essentially bounded processes Y and BMO processes Z (Definition 1) is essential for our proof.

We show that this is indeed the case and sufficient for our proof.

Therefore, the GWAS dataset based on 1029 samples was analyzed for our proof of principle studies.

On the contrary, it was essential for our democracy".

But a free press is also essential for our democracy.

And he sought to upgrade the relationship from "special" to "essential", calling it "a living, working partnership" that was "essential to our security" and "essential for our prosperity".

[Applause.] It is essential for our democracy.

The following condition is essential for our purposes.

These feelings are essential for our well-being.

Quite the contrary: It is essential for our survival.

Real health care is essential for our economy.