Sentence examples for our general result from inspiring English sources

Our general result is illustrated by two examples.

4, we give further specific examples that are encompassed by our general result.

Our general result requires upper bounds on functions of Mk="∑i= 1n[di]k for a few small integers k≥1.

In this setting, we provide a simple sufficient condition for the Fatou inequality (1.1) as a corollary of our general result.

We also investigate the self-adjoint case and obtain the characterization of the spectral data as a corollary of our general result.

Before stating our general result on the cooperative locality of the codes obtained in this manner, we consider small values of ℓ.

We apply our general results to homogeneous functions.

Some applications of our general results are given.

In fact, our general results here are motivated by equations (8) and (14).

Finally, from our general results, a single contact zone solution follows as a simple limit.

For comparison purposes, we establish a fixed point result for such spaces as a consequence of our general results.