Sentence examples for straightforward proof of a from inspiring English sources

Patients and carers did not provide informed consent in the manner anticipated by ethics committees as a simple one-off statement and straightforward proof of a person's willingness to participate.

In this article we give a straightforward proof of refined inequalities between Lorentz spaces and Besov spaces and we generalize previous results of H. Bahouri and A. Cohen [2].

More straightforward proof of Lancaster's lifetime achievement, as they say on the awards shows, is on view at the Walter Reade Theater through May 18, in the Film Society of Lincoln Center's retrospective, "American Dreamer: Burt Lancaster".

The straightforward proof of (14) is given in the Appendix section.

The straightforward proof of this result is omitted.

Finally Dedekind indicates how, along such lines, explicit and straightforward proofs of various facts about the real numbers can be given, including ones that had been accepted without satisfactory proof so far.

And then what proof of a face?

Provide proof of a surety bond.

Provide proof of a college degree.

The other procedure is straightforward from the proof of Theorem 1, so it is omitted.

This proof is an straightforward extension of the proof of Theorem 6.8 in [39], which corresponds to completely multiplicative graphs with 2-input A-operations.