Sentence examples for exact proof from inspiring English sources

Though many relics turn out to be forgeries, executed in modern or medieval times as demand arose, the Padua body seems more likely than most to be what it is claimed to be, although exact proof is lacking.

One of the most surprising and revolutionary offshoots of the metalinguistic (formal) analyses was Gödel's discovery, in 1931, of an exact proof of the undecidability of certain types of mathematical problems, a discovery that dealt a severe blow to the expectations of the formalistic school of mathematics championed by Hilbert and his collaborator, Paul Bernays.

However, the exact proof of C2 continuity for the general SB-spline surfaces has not been obtained yet.

An exact proof of these claims is given in Appendix Appendix 1.

Obviously he thinks that the audience of a public speech consists of ordinary people who are not able to follow an exact proof based on the principles of a science.

The reformulated expectation constraints are also different from general expectation constraints as discussed in stochastic programming areas, which pose great difficulties for the exact proof of convergence of the algorithms.

This is obtained by means of exact proofs of model invalidity that exploit the polynomial/rational structure of biochemical reaction networks, and by making use of an efficient strategy to balance solution accuracy and computational effort.

From this text, we can extract an exact formal proof, as follows: A completion or proof "through the impossible" shows that a certain conclusion follows from a pair of premises by assuming as a third premise the denial of that conclusion and giving a deduction, from it and one of the original premises, the denial (or the contrary) of the other premises.

For exact statements, proofs and details, see Section 7.5 of [14].

For exact results, proofs and generalizations, see Section 12.7 of [14].

Why is this exact type of proof necessary to debunk Darwin's theory of evolution?