Sentence examples for a straightforward proof from inspiring English sources

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].

In this work, a straightforward proof is presented to demonstrate that, for an isotropic hyperelastic solid, the just-mentioned stress strain pair τ and h are derivable from two dual scalar potentials with respect to each other.

The present paper is concerned with expounding an altogether new method specifically designed to provide a straightforward proof that there is no possible solution for some family of systems of Diophantine linear equations which share the same dependent terms while differing in its independent terms.

Furthermore, we give some bounds on total restrained domination number of graphs with diameter 3. Finally, we present some bounds for total restrained domination number of some planar graphs with diameter 2 and γ-set of cardinality 2. We begin with the following result that has a straightforward proof.

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.

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.

This proof is a straightforward extension of the proof given in [3] for the lower bound of 2-input A-operations that form an MCM block.

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.

We omit the straightforward proofs that the MWVR and MWER problems are in NP.