Sentence examples for basic results are from inspiring English sources

Basic results are taken from the work done in the CERN-RD48 (ROSE) collaboration updated by results of recent work.

The following basic results are also needed.

In Section 2, some preliminaries and basic results are established.

The following basic results are essential for proving the main results in Section 3.

And Sandro Bonatto, a geneticist at the Federal University of Rio Grande do Sul in Porto Alegre, Brazil, says that "the data and basic results are solid".

Two basic results are important here: (i) amenability of groups is preserved by the four operations of taking subgroups, quotients, directs limits, and extensions with amenable kernels (already in [123]), and (ii) groups of intermediate growth are amenable (this goes back to [3], and is also a straightforward consequence of Følner's Criterion [63]).

But, he went on with a veteran's measured ire, "it is sometimes surprising to discover how many basic results were obtained many years ago".

An excellent review of the basic results is given in [12, 13].

The board states that by recommending that the basic results be communicated without methods or details, the benefits to society will be maximised and the risks minimised.

One of the basic results is that Cheeger connected the first eigenvalue (lambda_{1}) of the Laplacian on a manifold to certain isoperimetric constants.

Further basic results were proved in the early 20th century.