Sentence examples for result stated from inspiring English sources

This is a beautiful result, stated and proved in Euclid's famous treatise on geometry written in about 300 BC, but Euclid's proof is ugly.

This numerical verification supports the result stated in Theorem 3.1.

Our first result stated in Theorem  1 reads as follows.

Now, we are in a position to state our first main result stated as follows.

Namely, the result stated in Theorem 1 is an extension of the result given in [7].

In conclusion, (21) can be property rearranged, leading to the result stated in the following.

The next result states the main result of this work.

5.1 to the results stated in Sect.

The result is in perfect agreement with the results stated and proved in the established literature.

These numerical results confirm our theoretical results stated in Theorem 2.5.

Note that the mean square convergence results stated in [12] relies on some strict assumptions.