Search results
Results from the WOW.Com Content Network
Statistical proof is the rational demonstration of degree of certainty for a proposition, hypothesis or theory that is used to convince others subsequent to a statistical test of the supporting evidence and the types of inferences that can be drawn from the test scores. Statistical methods are used to increase the understanding of the facts and ...
In mathematics, Pappus's hexagon theorem (attributed to Pappus of Alexandria) states that. given one set of collinear points and another set of collinear points then the intersection points of line pairs and and and are collinear, lying on the Pappus line. These three points are the points of intersection of the "opposite" sides of the hexagon .
Proof-of-stake ( PoS) protocols are a class of consensus mechanisms for blockchains that work by selecting validators in proportion to their quantity of holdings in the associated cryptocurrency. This is done to avoid the computational cost of proof-of-work (POW) schemes. The first functioning use of PoS for cryptocurrency was Peercoin in 2012 ...
The Pythagorean theorem is a special case of the more general theorem relating the lengths of sides in any triangle, the law of cosines, which states that. where is the angle between sides and . [45] When is radians or 90°, then , and the formula reduces to the usual Pythagorean theorem.
Faraday's law of induction (or simply Faraday's law) is a law of electromagnetism predicting how a magnetic field will interact with an electric circuit to produce an electromotive force (emf). This phenomenon, known as electromagnetic induction, is the fundamental operating principle of transformers, inductors, and many types of electric ...
Paul Erdős gave a proof that also relies on the fundamental theorem of arithmetic. Every positive integer has a unique factorization into a square-free number r and a square number s 2 . For example, 75,600 = 2 4 3 3 5 2 7 1 = 21 ⋅ 60 2 .
The proof's use of both p = 3 and p = 5 below, is the so-called "3/5 switch" referred to in some descriptions of the proof, which Wiles noticed in a paper of Mazur's in 1993, although the trick itself dates back to the 19th century.
Michael Liam McQuillan is a Scottish mathematician studying algebraic geometry.As of 2019 he is Professor at the University of Rome Tor Vergata.. Career. Michael McQuillan received the doctorate in 1992 at Harvard University under Barry Mazur ("Division points on semi-Abelian varieties").