Sentence examples similar to The foregoing class from inspiring English sources

With a novel idea of utilizing a suitable parametric variable, here we present a unified study of the free-end torsion problem (Poynting effects) of thin-walled cylindrical tubes made of the foregoing Hill's class of Hookean type hyperelastic materials.

As already pointed out in the foregoing section, these classes will be shown to coincide by Theorem 1 below, whose proof is just based on Lemma 1.

The foregoing theorem shows that the concept of weak sharp minima can be converted into a class of optimization problems with the same optimal value.

The foregoing came seconds before Lucas got his comeuppance.

The foregoing thus must suffice concerning this matter.

The foregoing documents two groups with different properties.

The foregoing discussion has made two accounting statements involving income.

The foregoing may give the misleading impression that I enjoyed this movie.

The foregoing observation becomes more pronounced with increasing frequency.

The foregoing should illustrate that the task is by no means impossible.

The foregoing culture areas account for roughly the eastern half of the conterminous United States.