Sentence examples for proofs show from inspiring English sources

Rigorous stability proofs show that the designed robust adaptive controller guarantees that the relative motion states not only can be restricted in the prescribed constraint regions, but also can converge into the small regions with good robustness.

Rigorous proofs show that both of two AFNFTSM control laws can guarantee that the relative position and attitude errors can converge to the small regions containing the origin in fixed time.

Observe that the same arguments used in the proofs show that the statements of Theorems 5.5 and 5.7 are also valid if we replace "(right) perfect ring" and "(right) module" by "semiperfect ring" and "finitely generated (right) module", respectively.

But none of the above proofs show the NP-hardness of any formulation of structural alignment/comparison problems based on the RMSD measure.

More and more proofs show that neoplasia arises from mutations resulting in constitutive activation of growth factor receptors or their downstream effectors.

Other economists, like Gary S. Becker and George J. Stigler, both Nobel Prize winners, countered with proofs showing that advertising is essentially informative rather than manipulative.

Algebraic proofs showing that 0.999... represents the number 1 use concepts such as fractions, long division, and digit manipulation to build transformations preserving equality from 0.999... to 1.

But popular new plays like "Dinner Party" (see below), "Tale of the Allergist's Wife" and "Proof" show no signs of leaving.

Einstein's proof shows that f disappears in the end anyway.

One thing the proof showed is that it is a truth of pure logic that those axioms imply Fermat's Last Theorem.

A similar proof shows that (226).