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  • proofs — noun a) Plural of proof. b) samples of the copy and layout of a printed document for review by the author or a proofreader before mass printing …   Wiktionary

  • proofs — proof …   Philosophy dictionary

  • proofs — pruːf n. substantiation, demonstration; corroboration, evidence; trial print that is inspected for errors (Printing) v. make resistant; make impervious; make a trial print for proofreading; proofread, edit adj. resistant, invulnerable;… …   English contemporary dictionary

  • proofs —   Pa i ana no ka ho oponopono (of printing) …   English-Hawaiian dictionary

  • proofs — plural of proof present third singular of proof …   Useful english dictionary

  • Proofs from THE BOOK — is a book of mathematical proofs by Martin Aigner and Günter M. Ziegler. The book is dedicated to the mathematician Paul Erdős, who often referred to The Book in which God keeps all of the most elegant proofs of mathematical theorems. During a… …   Wikipedia

  • Proofs of trigonometric identities — are used to show relations between trigonometric functions. This article will list trigonometric identities and prove them.Elementary trigonometric identitiesDefinitionsReferring to the diagram at the right, the six trigonometric functions of… …   Wikipedia

  • Proofs and Refutations — is a book by the philosopher Imre Lakatos expounding his view ofthe progress of mathematics. The book is written as a series of Socratic dialogues involving a group of students who debate the proof of the Euler characteristic defined for the… …   Wikipedia

  • Proofs of quadratic reciprocity — In the mathematical field of number theory, the law of quadratic reciprocity, like the Pythagorean theorem, has lent itself to an unusual number of proofs. Several hundred proofs of the law of quadratic reciprocity have been found.Proofs that are …   Wikipedia

  • Proofs of Fermat's theorem on sums of two squares — Fermat s theorem on sums of two squares asserts that an odd prime number p can be expressed as: p = x^2 + y^2with integer x and y if and only if p is congruent to 1 (mod 4). The statement was announced by Fermat in 1640, but he supplied no proof …   Wikipedia

  • Proofs of Fermat's little theorem — This article collects together a variety of proofs of Fermat s little theorem, which states that:a^p equiv a pmod p ,!for every prime number p and every integer a (see modular arithmetic). Simplifications Some of the proofs of Fermat s little… …   Wikipedia


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