Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300584756> ?p ?o ?g. }
Showing items 1 to 85 of
85
with 100 items per page.
- W4300584756 abstract "The well-know needle experiment of Buffon can be regarded as an analog (i.e., continuous) device that stochastically computes the number 2/pi ~ 0.63661, which is the experiment's probability of success. Generalizing the experiment and simplifying the computational framework, we consider probability distributions, which can be produced perfectly, from a discrete source of unbiased coin flips. We describe and analyse a few simple Buffon machines that generate geometric, Poisson, and logarithmic-series distributions. We provide human-accessible Buffon machines, which require a dozen coin flips or less, on average, and produce experiments whose probabilities of success are expressible in terms of numbers such as, exp(-1), log 2, sqrt(3), cos(1/4), aeta(5). Generally, we develop a collection of constructions based on simple probabilistic mechanisms that enable one to design Buffon experiments involving compositions of exponentials and logarithms, polylogarithms, direct and inverse trigonometric functions, algebraic and hypergeometric functions, as well as functions defined by integrals, such as the Gaussian error function." @default.
- W4300584756 created "2022-10-03" @default.
- W4300584756 creator A5018743761 @default.
- W4300584756 creator A5059805979 @default.
- W4300584756 creator A5080612211 @default.
- W4300584756 date "2011-01-23" @default.
- W4300584756 modified "2023-09-26" @default.
- W4300584756 title "On Buffon Machines and Numbers" @default.
- W4300584756 hasPublicationYear "2011" @default.
- W4300584756 type Work @default.
- W4300584756 citedByCount "0" @default.
- W4300584756 crossrefType "proceedings-article" @default.
- W4300584756 hasAuthorship W4300584756A5018743761 @default.
- W4300584756 hasAuthorship W4300584756A5059805979 @default.
- W4300584756 hasAuthorship W4300584756A5080612211 @default.
- W4300584756 hasBestOaLocation W43005847561 @default.
- W4300584756 hasConcept C100906024 @default.
- W4300584756 hasConcept C105795698 @default.
- W4300584756 hasConcept C111472728 @default.
- W4300584756 hasConcept C118615104 @default.
- W4300584756 hasConcept C121332964 @default.
- W4300584756 hasConcept C134306372 @default.
- W4300584756 hasConcept C138885662 @default.
- W4300584756 hasConcept C14036430 @default.
- W4300584756 hasConcept C151376022 @default.
- W4300584756 hasConcept C156340839 @default.
- W4300584756 hasConcept C163716315 @default.
- W4300584756 hasConcept C204911207 @default.
- W4300584756 hasConcept C207467116 @default.
- W4300584756 hasConcept C2524010 @default.
- W4300584756 hasConcept C2780586882 @default.
- W4300584756 hasConcept C28826006 @default.
- W4300584756 hasConcept C33923547 @default.
- W4300584756 hasConcept C39927690 @default.
- W4300584756 hasConcept C49937458 @default.
- W4300584756 hasConcept C55974624 @default.
- W4300584756 hasConcept C62520636 @default.
- W4300584756 hasConcept C68827188 @default.
- W4300584756 hasConcept C78458016 @default.
- W4300584756 hasConcept C86803240 @default.
- W4300584756 hasConcept C9376300 @default.
- W4300584756 hasConceptScore W4300584756C100906024 @default.
- W4300584756 hasConceptScore W4300584756C105795698 @default.
- W4300584756 hasConceptScore W4300584756C111472728 @default.
- W4300584756 hasConceptScore W4300584756C118615104 @default.
- W4300584756 hasConceptScore W4300584756C121332964 @default.
- W4300584756 hasConceptScore W4300584756C134306372 @default.
- W4300584756 hasConceptScore W4300584756C138885662 @default.
- W4300584756 hasConceptScore W4300584756C14036430 @default.
- W4300584756 hasConceptScore W4300584756C151376022 @default.
- W4300584756 hasConceptScore W4300584756C156340839 @default.
- W4300584756 hasConceptScore W4300584756C163716315 @default.
- W4300584756 hasConceptScore W4300584756C204911207 @default.
- W4300584756 hasConceptScore W4300584756C207467116 @default.
- W4300584756 hasConceptScore W4300584756C2524010 @default.
- W4300584756 hasConceptScore W4300584756C2780586882 @default.
- W4300584756 hasConceptScore W4300584756C28826006 @default.
- W4300584756 hasConceptScore W4300584756C33923547 @default.
- W4300584756 hasConceptScore W4300584756C39927690 @default.
- W4300584756 hasConceptScore W4300584756C49937458 @default.
- W4300584756 hasConceptScore W4300584756C55974624 @default.
- W4300584756 hasConceptScore W4300584756C62520636 @default.
- W4300584756 hasConceptScore W4300584756C68827188 @default.
- W4300584756 hasConceptScore W4300584756C78458016 @default.
- W4300584756 hasConceptScore W4300584756C86803240 @default.
- W4300584756 hasConceptScore W4300584756C9376300 @default.
- W4300584756 hasLocation W43005847561 @default.
- W4300584756 hasLocation W43005847562 @default.
- W4300584756 hasLocation W43005847563 @default.
- W4300584756 hasLocation W43005847564 @default.
- W4300584756 hasOpenAccess W4300584756 @default.
- W4300584756 hasPrimaryLocation W43005847561 @default.
- W4300584756 hasRelatedWork W1749563861 @default.
- W4300584756 hasRelatedWork W1983387634 @default.
- W4300584756 hasRelatedWork W1983604995 @default.
- W4300584756 hasRelatedWork W2059586969 @default.
- W4300584756 hasRelatedWork W2062537955 @default.
- W4300584756 hasRelatedWork W2395108221 @default.
- W4300584756 hasRelatedWork W2526753919 @default.
- W4300584756 hasRelatedWork W2950414355 @default.
- W4300584756 hasRelatedWork W3104458475 @default.
- W4300584756 hasRelatedWork W3123919776 @default.
- W4300584756 isParatext "false" @default.
- W4300584756 isRetracted "false" @default.
- W4300584756 workType "article" @default.