Sentence examples for an refinement from inspiring English sources

The results obtained in this paper may be viewed as an refinement and improvement of the previously known results.

As an application, a refinement of a mean inequality is also obtained.

Also, as an application, we give a refinement of a mean inequality (see Theorem 2).

People are now buying for themselves, there is also a refinement, a knowledge of what is luxury".

It is a refinement of an old idea, not a fundamental change in artificial intelligence.

A refinement of an energy that could turn as easily to destruction as creativity.

It was a refinement of an existing program, making it easier to use.

However, it's less a remake than a refinement.

which is a generalization and a refinement of inequality (1.2).

Finally, we obtain a refinement to a quasiconformal extension criterion of the main result.

then similarly (3.11) is a refinement and a simple form of [9, Corollary  4.3].