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Question in geometric probability
probability theory, Buffon's needle problem is a question first posed in the 18th century by Georges-Louis Leclerc, Comte de Buffon: Suppose we have a
Buffon's_needle_problem
Variation of Buffon's needle
the problem of Buffon's noodle is a variation on the well-known problem of Buffon's needle, named after Georges-Louis Leclerc, Comte de Buffon who lived
Buffon's_noodle
Probability of shared birthdays
In probability theory, the birthday problem asks for the probability that, in a set of n randomly chosen people, at least two will share the same birthday
Birthday_problem
Probability puzzle
The Monty Hall problem is a brain teaser, in the form of a probability puzzle, based nominally on the American television game show Let's Make a Deal
Monty_Hall_problem
French naturalist, mathematician, and cosmologist (1701–1788)
differential and integral calculus into probability theory; the problem of Buffon's needle in probability theory is named after him. In 1734 he was admitted
Georges-Louis Leclerc, Comte de Buffon
Georges-Louis_Leclerc,_Comte_de_Buffon
Mathematical problem involving optimal stopping theory
known as the marriage problem, the sultan's dowry problem, the fussy suitor problem, the googol game, and the best choice problem. Its solution is also
Secretary_problem
Mathematical problem
The Sleeping Beauty problem, also known as the Sleeping Beauty paradox, is a puzzle in decision theory in which an ideally rational epistemic agent is
Sleeping_Beauty_problem
Mathematical problem
The three prisoners problem appeared in Martin Gardner's "Mathematical Games" column in Scientific American in 1959. It is mathematically equivalent to
Three_prisoners_problem
Concept in probability theory and gambling
gambler's ruin problem is a letter from Blaise Pascal to Pierre Fermat in 1656 (two years after the more famous correspondence on the problem of points).
Gambler's_ruin
Problem asking the probability that the sun will rise tomorrow
The sunrise problem can be expressed as follows: "What is the probability that the sun will rise tomorrow?" The sunrise problem illustrates the difficulty
Sunrise_problem
Probability problem
In mathematics, the Hamburger moment problem, named after Hans Ludwig Hamburger, is formulated as follows: given a sequence (m0, m1, m2, ...), does there
Hamburger_moment_problem
Mathematical concept
topic became known as geometric probability. Buffon's needle problem: What is the chance that a needle dropped randomly onto a floor marked with equally
Geometric_probability
Mental exercise in probability and statistics
In probability and statistics, an urn problem is an idealized mental exercise in which some objects of real interest (such as atoms, people, cars, etc
Urn_problem
Balanced or random resource allocation
balanced allocations) problem is a classic problem in probability theory that has many applications in computer science. The problem involves m balls and
Balls_into_bins_problem
Probability theory paradox
The Bertrand paradox is a problem within the classical interpretation of probability theory. Joseph Bertrand introduced it in his work Calcul des probabilités
Bertrand paradox (probability)
Bertrand_paradox_(probability)
Mathematical paradox
paradox Monty Hall problem Three Prisoners problem Two envelopes problem Sleeping Beauty problem The Monty Hall and Three Prisoners problems are identical
Bertrand's_box_paradox
Number, approximately 3.14
2009. Arndt & Haenel 2006, p. 39. Ramaley, J. F. (October 1969). "Buffon's Needle Problem". The American Mathematical Monthly. 76 (8): 916–918. doi:10.2307/2317945
Pi
Problem in probability theory
In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following
Coupon_collector's_problem
Math puzzle
pill, then it is simply consumed and nothing is returned to the jar. The problem becomes very easy to solve once a binary variable Xk defined as Xk = 1
Pill_puzzle
Problem in statistical estimation
In the statistical theory of estimation, the German tank problem consists of estimating the maximum of a discrete uniform distribution from sampling without
German_tank_problem
Problem in probability theory
The problem of points, also called the problem of division of the stakes, is a classical problem in probability theory. One of the famous problems that
Problem_of_points
Puzzle in logic and mathematics
The two envelopes problem, also known as the exchange paradox, is a paradox in probability theory. It is of special interest in decision theory and for
Two_envelopes_problem
Trying to map moments to a measure that generates them
In mathematics, a moment problem arises as the result of trying to invert the mapping that takes a measure μ {\displaystyle \mu } to the sequence of moments
Moment_problem
Paradox in probability theory
theory, which are also known as the two children problem, Mr. Smith's children and the Mrs. Smith problem. The initial formulation of the question dates
Boy_or_girl_paradox
Election result probability theorem
In combinatorics, Bertrand's ballot problem is the question: "In an election where candidate A receives p votes and candidate B receives q votes with
Bertrand's_ballot_theorem
Popular mathematics book from 1940
is about various topics in probability and statistics, such as Buffon's needle problem and the binomial theorem. Chapter VIII ("Rubber-sheet Geometry")
Mathematics and the Imagination
Mathematics_and_the_Imagination
Financial phenomenon
identified by economist Jeremy Siegel in 1972. Like the related two envelopes problem, the phenomenon is sometimes labeled a paradox because an agent can seem
Siegel's_paradox
"Average distance between two points in a box (solution to elementary problem E2629)", American Mathematical Monthly, 85 (4): 277–278, doi:10.2307/2321177
Mean_line_segment_length
Press, p. 177 Wegert, Elias; Trefethen, Lloyd N. (1994). "From the Buffon Needle Problem to the Kreiss Matrix Theorem". The American Mathematical Monthly
Kreiss_matrix_theorem
Aspect of control theory
In probability theory, the Mabinogion sheep problem or Mabinogian urn is a problem in stochastic control introduced by David Williams (mathematician) in
Mabinogion_sheep_problem
Paradox involving a game with repeated coin flipping
[Solution to a problem about gambling games]. Mémoires donnés à l'Académie Royale des Sciences: 429–431. cited in Dutka, 1988 Buffon, G. L. L. (1777)
St._Petersburg_paradox
Computational science history
used for wine barrels). 1733 – The French naturalist Comte de Buffon poses his needle problem. Euler comes up with a simple numerical method for integrands
Timeline of scientific computing
Timeline_of_scientific_computing
Probability problem
In mathematics, the Hausdorff moment problem, named after Felix Hausdorff, asks for necessary and sufficient conditions that a given sequence (m0, m1
Hausdorff_moment_problem
1998 mathematics book by Aigner and Ziegler
lemma. Chapter 26: The cotangent and Herglotz's trick. Chapter 27: Buffon's needle problem. Chapter 28: Pigeonhole principle and double counting, Sperner's
Proofs_from_THE_BOOK
Buffon's needle Weisstein, Eric W. "Spijker's Lemma". MathWorld. Wegert, Elias; Trefethen, Lloyd N. (February 1994). "From the Buffon Needle Problem to
Spijker's_lemma
Problem in probability
Banach's match problem is a classic problem in probability attributed to Stefan Banach. Feller says that the problem was inspired by a humorous reference
Banach's_matchbox_problem
Problem in geometric probability
the Euclidean plane form a convex quadrilateral. Together with Buffon's needle problem, it has been called "one of the prime paradigms in geometric probability
Sylvester's four point problem
Sylvester's_four_point_problem
relating the area of a cyclic quadrilateral to its side lengths Buffon's needle problem – Question in geometric probabilityPages displaying short descriptions
List_of_circle_topics
Probability problem
The Newton–Pepys problem is a probability problem concerning the probability of throwing sixes from a certain number of dice. In 1693 Samuel Pepys and
Newton–Pepys_problem
In game theory, the Waldegrave problem is a problem first described in the second edition of Pierre Raymond de Montmort`s Essay d'analyse sur les jeux
Waldegrave_problem
Probabilistic problem-solving algorithm
Carlo method was devised to solve the Buffon's needle problem, in which π can be estimated by dropping needles on a floor made of parallel equidistant
Monte_Carlo_method
French astronomer and mathematician (1839–1889)
curves. In this paper he also presented a solution to Buffon's needle problem, known as Buffon's noodle, that avoided the use of integrals. He began teaching
Joseph-Émile_Barbier
Season of television series
Granger Mathematics used: Scatter plot, Bayesian spam filtering, Buffon's needle problem and conditional probability 15 2 "Better or Worse" J. Miller Tobin
Numbers_season_2
Biostatistician, academic, and author
the historically classical Buffon's Needle Problem (1733). One unsolved problem was: what is the probability that a needle randomly tossed onto a set
Harry_J._Khamis
In mathematics, the trigonometric moment problem is formulated as follows: given a sequence { c k } k ∈ N 0 {\displaystyle \{c_{k}\}_{k\in \mathbb {N}
Trigonometric_moment_problem
Probability problem
In mathematics, the Stieltjes moment problem, named after Thomas Joannes Stieltjes, seeks necessary and sufficient conditions for a sequence (m0, m1,
Stieltjes_moment_problem
mathematical field of combinatorial geometry, the Littlewood–Offord problem is the problem of determining the number of subsums of a set of vectors that fall
Littlewood–Offord_problem
American astronomer (1829–1907)
n} is the number of intersections. This paper, an experiment on Buffon's needle problem, is a very early documented use of random sampling (which Nicholas
Asaph_Hall
Swiss astronomer and mathematician (1816–1893)
2017-10-20. Riedwyl, Hans (1990). "Rudolf Wolf's Contribution to the Buffon Needle Problem (an Early Monte Carlo Experiment) and Application of Least Squares"
Rudolf_Wolf
Computer simulations to discover and understand chemical properties
simulations—which themselves date back to the eighteenth century, in the Buffon's needle problem for example—but was popularized for statistical mechanics at Los
Molecular_dynamics
Problem in geometric probability
In geometric probability, the broken stick problem asks for the probability that one can form a triangle from the three parts of a line segment that has
Broken_stick_problem
Concept in mathematics
celebrated case is the problem of Buffon's needle: drop a needle on a floor made of planks and calculate the probability the needle lies across a crack.
Integral_geometry
Geographical problem of calculating properties near edges of areas
x. ISSN 0004-5608. JSTOR 2563023. Rogerson, Peter A. (July 1990). "Buffon's needle and the estimation of migration distances". Mathematical Population
Boundary problem (spatial analysis)
Boundary_problem_(spatial_analysis)
All curves of constant width have the same perimeter
cut-the-knot. Sylvester, J. J. (1890), "On a funicular solution of Buffon's "problem of the needle" in its most general form", Acta Mathematica, 14 (1): 185–205
Barbier's_theorem
Arithmetic–geometric mean Bailey–Borwein–Plouffe formula Basel problem Borwein's algorithm Buffon's needle Cadaeic Cadenza Chronology of computation of π Circle
List_of_topics_related_to_π
Donsker's theorem Empirical process Wiener equation Wiener sausage Buffon's needle Integral geometry Hadwiger's theorem Wendel's theorem Luck Game of
List_of_probability_topics
Species of bird
branch with a spider web and lined with lichens, moss, hair, and dead pine needles, that is placed near the end of a branch. Although typically only laying
Blackburnian_warbler
Free and open-source statistical program
supporting text (with Binary Classification, Counts, The Problem of Points, Buffon’s Needle) Learn Stats: Learn classical statistics with simple examples
JASP
Concept in complex analysis
Peter W.; Murai, Takafumi (1988). "Positive analytic capacity but zero Buffon needle probability" (PDF). Pacific Journal of Mathematics. 133 (1): 99–114
Analytic_capacity
Model in mathematical finance
naturalist Buffon, and a question he asked about the results of dropping a needle randomly on a striped floor or table. See Buffon's needle. Sources Marco
Monte Carlo methods for option pricing
Monte_Carlo_methods_for_option_pricing
Bird of prey
(1984). "A zoological study of the ivory knife handle from Abu Zaidan". In Needler, Winifred (ed.). Predynastic and Archaic Egypt in the Brooklyn Museum,
Secretarybird
Computational statistics technique
algorithm, which was used by John von Neumann and dates back to Buffon and his needle, draws a sample from a (target) probability density function f (
Rejection_sampling
1985 story collection by Samuel R. Delany
the Modular Calculus, Part Five" Appendix A: Postscript Appendix B: Buffon's Needle In earlier editions, the novel The Tale of Plagues and Carnivals was
Flight_from_Nevèrÿon
Extinct genus of proboscideans
stomach contents of M. americanum indicate that the species consumed spruce needles, pine cones, grass, and occasionally gourds plus vine leaves. Of note is
Mastodon
three-dimensional slabs (e.g. 3D microscope images), one-dimensional probes (e.g. needle biopsy), projected images, and other kinds of 'sampling'. It is especially
Stereology
entropy Variance gamma process / fnc Wiener equation Boolean model Buffon's needle Geometric probability Hadwiger's theorem Integral geometry Random coil
Catalog of articles in probability theory
Catalog_of_articles_in_probability_theory
Crocodilian native to the Southeastern United States
pterygoideus muscles are enlarged and extremely powerful. Juveniles have small, needle-like teeth that become much more robust and narrow snouts that become broader
American_alligator
Change in the heritable traits of populations
(December 2005). "Comparing the human and chimpanzee genomes: searching for needles in a haystack". Genome Research. 15 (12): 1746–1758. CiteSeerX 10.1.1.673
Evolution
(1031–1095), a polymath and statesman who was the first to describe the magnetic-needle compass used for navigation, discovered the concept of true north, improved
History_of_science
Ørsted discovers that a current passed through a wire will deflect the needle of a compass, establishing the deep relationship between electricity and
Timeline of scientific discoveries
Timeline_of_scientific_discoveries
Species of reptile
However, other plant parts, including shoots, stems, leaves, and pine needles are also eaten. They also eat mushrooms, and fruits such as gopher apple
Gopher_tortoise
French optical physicist (1788–1827)
simpler dioptric (purely refractive) stepped lens, first proposed by Count Buffon and independently reinvented by Fresnel, is used in screen magnifiers and
Augustin-Jean_Fresnel
BUFFONS NEEDLE-PROBLEM
BUFFONS NEEDLE-PROBLEM
Surname or Lastname
English
English : occupational name for a medieval court official, from Middle English bedele (Old English bydel, reinforced by Old French bedel). The word is of Germanic origin, and akin to Old English bēodan ‘to command’ and Old High German bodo ‘messenger’. In the Middle Ages a beadle in England and France was a junior official of a court of justice, responsible for acting as an usher in a court, carrying the mace in processions in front of a justice, delivering official notices, making proclamations (as a sort of town crier), and so on. By Shakespeare’s day a beadle was a sort of village constable, appointed by the parish to keep order.
Girl/Female
Irish
Used for both male and female it is the Irish word for Christmas, as in Noel or Noelle.
Surname or Lastname
English (Cornwall)
English (Cornwall) : probably a topographic name for someone who lived at a place overgrown with nettles, Middle English net(t)el.Respelling of North German Nettel, a nickname for an obnoxious person, from Middle Low German nettel ‘nettle’.
Female
English
English form of French Noële, NOELE means "day of birth."
Boy/Male
Shakespearean
King Henry IV, Part 2' Francis Feeble, a country soldier.
Surname or Lastname
English
English : variant of Kibble.Americanized spelling of South German Kübel, a metonymic occupational name for a cooper, from Middle High German kübel ‘tub’, ‘vat’.
Surname or Lastname
English
English : variant of Buford.
Surname or Lastname
English
English : from Middle English nedle, nadle ‘needle’ (Old English nǣdle), hence a metonymic occupational name for a maker of needles, or in some cases perhaps for a tailor. See also Nadler.Jewish (American) : translation of Nadel.
Surname or Lastname
English
English : possibly of Flemish origin, from a pet form of the Germanic personal name Bufo.English : alternatively, perhaps, from a diminutive of Old French bufe, buffe ‘blow’, ‘slap in the face’, hence probably a nickname for a rough or uncouth man.
Surname or Lastname
English
English : variant spelling of Beadle.
Surname or Lastname
English (Hereford and Wales)
English (Hereford and Wales) : topographical name from Middle English (a)bove ‘above’ (Old English on būfan) + toun ‘village’, ‘hamlet’, i.e. denoting someone who lived above the village, or a habitational name from a minor place named with these elements, such as Bufton End in Cambridgeshire.
Female
English
Feminine form of English Neil, NEILE means "champion."Â
Female
English
English form of French Noëlle, NOELLE means "day of birth."
Female
English
Pet form of English Eleanor, NELLE means "foreign; the other."
Male
Italian
Italian form of Spanish Fidel, FEDELE means "faithful."
Female
Hindi/Indian
(Bengali নীলা): Variant spelling of Hindi Nila, NEELA means "sky blue."
Male
English
Pet form of English Neal, NEELY means "champion."
Surname or Lastname
English
English : variant spelling of Kendall.South German : possibly from Kindel or Kindl (from a diminutive of Middle High German kint ‘child’), a nickname for a childish or childlike person.Possibly an altered spelling of German Kendler, variant of Kandler.
Surname or Lastname
English
English : occupational name for a maker of needles (see Nadler).Jewish : Americanized form of Nadler.
Surname or Lastname
English
English : patronymic from Ruffin.
BUFFONS NEEDLE-PROBLEM
BUFFONS NEEDLE-PROBLEM
Girl/Female
Indian
Blessings, Lord Krishna, Moonlight
Boy/Male
Indian
Submission
Male
French
French form of Spanish Fernándo, FERNAND means "ardent for peace."
Girl/Female
Tamil
Bright
Surname or Lastname
English
English : patronymic from Rawling.
Boy/Male
Australian, Hebrew
Loves God
Female
Yiddish
(לִיבָּ×) Variant form of Yiddish Libe, LIBA means "love." Compare with another form of Liba.
Surname or Lastname
English (North Midlands)
English (North Midlands) : habitational name from any of various places (in Derbyshire, Hampshire, Surrey, Yorkshire, and elsewhere) named Bramley, from Old English brÅm ‘broom’, ‘gorse’ + lÄ“ah ‘woodland clearing’.
Girl/Female
Irish Celtic
Sparkling.
Boy/Male
Indian
More delicate
BUFFONS NEEDLE-PROBLEM
BUFFONS NEEDLE-PROBLEM
BUFFONS NEEDLE-PROBLEM
BUFFONS NEEDLE-PROBLEM
BUFFONS NEEDLE-PROBLEM
n.
One of the needle-shaped secondary leaves of pine trees. See Pinus.
a.
Pointed as needles.
n.
See Magnetic needle, under Magnetic.
a.
Characteristic of, or like, a buffoon.
a.
Needle-shaped; slender like a needle or bristle, as some leaves or crystals; also, having sharp points like needless.
n.
A sort of coarse stuff; as, buffin gowns.
v. i.
To act the part of a buffoon.
v. t.
To finish by subjecting to a hammering process in a beetle or beetling machine; as, to beetle cotton goods.
n.
Alt. of Neele
v. i.
To form needles; to crystallize in the form of needles.
n.
One who makes or uses needles; also, a dealer in needles.
a.
Not wanted; unnecessary; not requiste; as, needless labor; needless expenses.
v. t.
To form in the shape of a needle; as, to needle crystals.
n.
A slender rod or wire used in knitting; a knitting needle; also, a hooked instrument which carries the thread or twine, and by means of which knots or loops are formed in the process of netting, knitting, or crocheting.
n.
Any slender, pointed object, like a needle, as a pointed crystal, a sharp pinnacle of rock, an obelisk, etc.
a.
Like a needle or needles; as, a needly horn; a needly beard.
n.
A needle.
n.
One who needs anything.
n.
A boy servant, or page, -- in allusion to the buttons on his livery.