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Persi Warren Diaconis (/ ˌ d aɪ ə ˈ k oʊ n ɪ s /; born January 31, 1945) is an American mathematician of Greek descent and former professional magician. [2] [3] He is the Mary V. Sunseri Professor of Statistics and Mathematics at Stanford University.
Pancake sorting is the mathematical problem of sorting a disordered stack of pancakes in order of size when a spatula can be inserted at any point in the stack and used to flip all pancakes above it. A pancake number is the minimum number of flips required for a given number of pancakes.
This method can be applied to problem #6 at IMO 1988: Let a and b be positive integers such that ab + 1 divides a 2 + b 2. Prove that a 2 + b 2 / ab + 1 is a perfect square. Let a 2 + b 2 / ab + 1 = q and fix the value of q. If q = 1, q is a perfect square as desired. If q = 2, then (a-b) 2 = 2 and there is no integral solution ...
In Political science and Decision theory, order relations are typically used in the context of an agent's choice, for example the preferences of a voter over several political candidates.
[2] [5] For triangulations of a point set in dimension 5 or above, there exists examples where the flip graph is disconnected and a triangulation cannot be obtained from other triangulations via flips. [6] [3] Whether all flip graphs of finite 3- or 4-dimensional point sets are connected is an open problem. [7]
Smith is the best blocker available in free agency, as the 6-6, 322-pounder is a road-grade run blocker who consistently performed well with the Chiefs. The only glitch for the Patriots is that he ...
Graphs of probability P of not observing independent events each of probability p after n Bernoulli trials vs np for various p.Three examples are shown: Blue curve: Throwing a 6-sided die 6 times gives a 33.5% chance that 6 (or any other given number) never turns up; it can be observed that as n increases, the probability of a 1/n-chance event never appearing after n tries rapidly converges to ...
Since then, the competition has spread around the world. Pupils from Sweden first took part in 1999. [5] By 2011, 860,000 pupils from 9,000 schools took part in Germany, having grown rapidly from 549,000 in 2007. [6] In 2014, the competition was hosted in Latin America. [7] In 2017, the Bulgarian association held a week-long Kangaroo summer ...