Sentence examples for mathematical correctness from inspiring English sources
First-order Zermelo-Fraenkel set theory is widely regarded as the standard of mathematical correctness, in the sense that a proof is correct if and only if it can be formalised as a formal proof in set theory.
Balaguer's non-formalistic version of fictionalism retains Field's thesis that mathematical "correctness" has to do with being true in the story of mathematics, but it abandons the Fieldian view that the story of mathematics consists in currently accepted axioms.
Indeed, those who think this threatens to spawn a brave new world of mathematical correctness might search their memories to recall if they didn't have a fourth- or fifth-grade teacher who brought an abacus to class.
Furthermore, a dummy user n=0 with d(0)=∞ is defined for mathematical correctness of the problem formulation.
For a surprisingly large percentage of these university mathematicians, the "mathematical correctness" of what they presented was a dominant consideration, to the point where it overshadowed other considerations.
We have found that even when the level of the students has been taken into consideration by the UM, the need to have mathematical correctness and rigor first can tend to emerge (Paterson, Thomas, Postlethwaite, et al. 2011).
Also the mathematical numerical correctness and accuracy were investigated by a comparison with the finite difference method and the uniqueness of a solution was confirmed by the independence on variations of the computational domain.
Validation can be obtained based on mathematical proof of correctness by comparing the results of the model with other models [38, 39].
Are proofs of program correctness genuine mathematical proofs, i.e., are such proofs on a par with standard mathematical ones?
Within the appropriate mathematical framework proving the correctness of any linguistic program, relative to its specification, is theoretically possible.
It turns bug detection into a mathematical algorithm, generating a correctness proof that guarantees software has no memory leaks or illegal pointer references.
