Sentence examples for mathematical proofs are from inspiring English sources

But mathematical proofs are extremely delicate structures that can dissolve at the merest touch.

All mathematical proofs are collected in the Appendix.

The intuitive interpretation and mathematical proofs are presented to reveal the efficient working mechanism of LRM.

Mathematical proofs are provided with simulations to illustrate the effectiveness and the robustness of the proposed controller despite different disturbances.

Mathematical proofs are given to demonstrate that the Pareto-optimal front of the TOP contains all global optima of the MMOP.

Mathematical proofs are provided which show that under most conditions a finite relative variance can be obtained for arbitrarily small parameter variations.

Unfortunately, no adequate and generally accepted explication that lends itself to the required mathematical proofs is to be found in the literature.

A key basic result used in the mathematical proofs is that the distance between any pair of (adjacent or nonadjacent) subsets is identical for nonexpansive contractions.

Edgeworth devoted considerable effort to insisting that mathematical proofs were appropriate for all schools of thought in economics.

But mathematical proof is not a matter of what seems reasonable, but a product of pure reason.

(PR, 52) {§6.5} a mathematical proof is an analysis of the mathematical proposition.