Sentence examples for established results from inspiring English sources

Despite some examples to the contrary, there's an awful lot of science writing on the web – about established results, preliminary findings or work in progress – that aims to do just that.

Also we present some applications for the established results.

Appropriate examples for the usability of the established results are also given.

At the end, an example is provided for justification of the established results.

In this section, we will present some applications for the established results above.

Some special cases of the established results are also given as corollaries.

The established results were compared with those of recent methods existing in the literature.

The established results are extensions of some existing Gronwall-type inequalities in the literature.

The established results generalize some of the recent results obtained by Cheung and Ma, respectively.

First, we establish the validity of the element by comparing its performance with established results.

Some special cases of the established results are also deduced as corollaries.