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The mathematical proof of the proposed algorithms is presented.
Using social networks to make recommendations will always compromise privacy, according to a mathematical proof of the limits of privacy.
A mathematical proof of the origin of the problem is proposed.
Einstein became particularly enamored of the Pythagorean theorem and — "after much effort," he noted in the Saturday Review — he wrote his own mathematical proof of it.
As if to illustrate his point, he explained the memoir's titular theorem this way: "We established a mathematical proof of stability in plasmas without any collisions".
The important thing is that public key encryption is not based on any mathematical proof of security but rests on the common belief that it probably is secure.
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The following year, in "Over de onbetrouwbaarheid der logische principes" ("On the Untrustworthiness of the Logical Principles"), he rejected as invalid the use in mathematical proofs of the principle of the excluded middle (or excluded third).
In this study, we present two new simple mathematical proofs of the vertex solution theorem using Cramer's rule for solving linear interval equations, different from the other proof methods, to find the upper and lower bounds on the set of solutions.
Formal mathematical proofs of its admis sibility appeared some several decades after its successful introduction in engineering calculations.
The mathematical proofs of the epidemics eradication and the positivity of both models constitute the main contribution of this paper.
Appendix contains the mathematical proofs of optimal revenue and cost, computation of elasticities and relevant Matlab codes.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com