Sentence examples for refinement of the proof from inspiring English sources

A refinement of the proof of Theorem 3.1, yields the following extension of [2], Theorem 3.9.

Therefore, this idea is a refinement with respect to the simplicity of the proof.

This is carried out by a refinement of the Laplace method and is parallel to Paris and Vinogradov (2015, Proof of Theorem 3.10).

The paradox of the proof Caroline Chen | Project Wordsworth | 10 May 2013.

Offer them some of the proof candy.

This is vital for proof of concept exploration and to provide insight for refinement of the synbiotic formulation.

Refinement of the script.

Refinement of the structures was carried out using phenix.refine47 and iterations of refinement using Coot48.

"Do we want the refinement of the record arrangement?

A significant refinement of the javelin was the Roman pilum.

Some improvements will come with refinement of the software.