Sentence examples for importance of proof from inspiring English sources

Rather than the memorization of simple algorithms to solve equations by rote, it demands true insight into the subject, clever ideas for applying theorems in special situations, an ability to generalize from known facts, and an insistence on the importance of proof.

Despite the importance of proofs in assuring protocol implementers about the security properties of key establishment protocols, many protocol designers fail to provide any proof of security.

8 55pm – The Government will withdraw its hundreds of millions of dollars in funding for domestic violence, and will instead spend the money on anti-domestic violence measures, as outlined in the Government's new "Semantics and the Importance of Proof-Reading Bill" which will be introduced next Parliament.

This is of particular importance, as proof of vertical transmission that could interfere with an ongoing pregnancy is more likely to result in miscarriage than a maternal infection.

Due to the importance of primary tumour proof for potential curative surgical therapy, FDOPA PET was performed that enabled localisation of a potential primary tumour in the ileum.

Variables were listed in the database as 'evidence of physical ill-health, 'evidence of social isolation' etc. rather than 'physical ill-health' or 'social isolation', highlighting the importance of having documented proof and objective identification of the variable.

Seven methodological solecisms have clouded judgment over the question of lead toxicity at low dose: worship of the sacrament of p = 0.05; inaccurate causal modeling; drawing conclusions from studies with inadequate power; positing phantom covariates; underestimating the importance of "small" effects; demanding proof of causality; and evaluating studies in isolation.

This involution is needed in order to define the crucial norm property of C*-algebras, which is of central importance for the proof of the above isomorphism claim.

Says paleoanthropologist Dan Lieberman of Rutgers University, "The fact that they managed to find DNA from a region of prime importance is proof that there is a God who likes paleoanthropology".

He corrected and published An Ideal Husband and The Importance of Being Earnest, the proofs of which Ellmann argues show a man "very much in command of himself and of the play" but he refused to write anything else "I can write, but have lost the joy of writing".

In this study, we provide proof of concept that the model is suitable to identify alternative therapeutic approaches, and our findings highlight the importance of in vivo validation.