Sentence examples for By proof from inspiring English sources
By proof ad absurdum we assume that (lambda^{omega }_{2} leq0).
By proof testing of n of these structural elements to a given load level it is observed that none of the elements fail.
By proof of Lemma 3.1, column v in A k×n has only 1 nonzero entry in row i.
Proofs (justifications) are represented by proof terms which do not contain individual variables.
This means two things: mathematical statements are general, and they are confirmed by proof.
For a Christian thinker such as Kierkegaard, the facts of religious truth are supported not by proof but by passion.
(On the other hand, there's also a throwaway reference to poor old "Miss Haversham", who seems destined to be abandoned by proof-readers as well as by her fiancé.) What's more, for all the clockwork and locomotion, the thermodynamics and the Babbage technobabble, Harkaway can't be said to have hitched his bandwagon to the runaway engine of steampunk.
The leading idea here is that logical constants are those whose meaning can be given by proof-theoretic introduction and elimination rules.
Image-derived data are discussed with respect to assessment of scaffolds followed by proof-of-concept studies in organoid establishment using Hep3B, a human hepatoblast-like cell line.
The potential application of this technique for Hg2+ and EDTA determination of river water samples is revealed by proof-of-concept experiments.
However, they require adenine nucleotides to be added at the insert's 5′ and 3′ ends, this can be time-consuming when ligating the blunt ends of fragments amplified by proof-reading DNA polymerases (blunt-end ligation is regarded as low-efficient, involving the risk of plasmid re-circularisation).
