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buffon
† ˈbuffon, -ont Obs. Also -oon. [a. F. bouffante ‘espèce de guimpe gaufrée que portaient autrefois les femmes’ (Littré). See bouffante a.] ‘A projecting covering of gauze or linen for a lady's breast.. much worn about 1750’ (Fairholt).1774 Westm. Mag. II. 259 Ladies in full dress still wear..buffoon...
Oxford English Dictionary
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Buffon
Buffon may refer to:
Georges-Louis Leclerc, Comte de Buffon (1707–1788), French naturalist
Gianluigi Buffon (born 1978), Italian football goalkeeper
Lorenzo Buffon (born 1929), former Italian football goalkeeper, cousin of the grandfather of Gianluigi Buffon
Buffon, Côte-d'Or, a town in the French département
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Buffon (crater)
Buffon is a lunar impact crater that is located on the southern hemisphere on the far side of the Moon. Buffon lies nearly at the midpoint between these formations.
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R ビュフォンの針の問題について(確認) R > buffon<-function(n){ L<-1 P<-2 count<-0 for(i in c(1:n)){ x<-runif(1,0,P/2) theta<-runif(1,0,pi/2) if(x<P/2){ if((sin(theta)*L...
`x<-runif(1,0,P/2)` (`x: [0, P/2]`)`if(x<P/2)`
R vector
buffon <- function(n) {
L <- 1; P <- 2
x <- runif(n, 0, P/2) proj <- sin(runif(n, 0, pi/2))*L/2
2*L*n/(P*sum(proj > x))
}
for(n in 10^c(1:8)) {
cat(sprintf("n = %9d, %f\n", n, buffon(n)))
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Lorenzo Buffon
Lorenzo Buffon (, ; born 19 December 1929) is an Italian former footballer who played as a goalkeeper. In total, Buffon won five Serie A titles throughout his career.
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Proofs from THE Book - Buffon's Needle Problem (Expectation Function Question) In Proofs from THE Book I have been struggling to understand a certain implication in the proof of Buffon's Needle problem: They introduc...
Given $a\notin\mathbb Q$, you can form two sequences of rationals, one that converges to $a$ from the below and one that converges from above. Since $E$ is monotonic, that gives you a series of lower bounds and a series of upper bounds for $E(ax)$. Both converge to $aE(x)$, hence we must have $E(ax)...
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Gianluigi Buffon
Former Milan, Inter, and Italy goalkeeper Lorenzo Buffon is also a cousin of Gianluigi Buffon's grandfather. Buffon is Catholic. In 2017, Buffon launched his own brand of wine under the name "Buffon #1".
Philanthropy
Buffon is also known for his charity work.
wikipedia.org
en.wikipedia.org
Buffon's needle with different distances I've solved problem with Buffon's needle with : l - length, d - distance. It gave me $\mathbb{P}(A) = \frac{l_2(A)}{l_2(\Omega)} = \frac{2l}{\pi d}$. So if I drop 2 cm long ...
Define events: \begin{eqnarray*} A &=& \text{The needle crosses a line} \\\ B &=& \text{The needle centre is in a 5cm strip.} \\\ \end{eqnarray*} Clearly, $P(B) = \frac{5}{3+5}$. Also, once $B$ occurs, the probability of $A$ occurring is the same as if _all_ lines were 5cm apart. So using conditiona...
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Suites à Buffon
Les Suites à Buffon carries the complete title Suites à Buffon formant avec les œuvres de cet auteur un cours complet d'histoire naturelle embrassant les , and Nouvelles Suites à Buffon.
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Buffon needle problem , scenario $\ell>d$ suppose we have the classic problem of buffon's needle , let $\ell$ be the length of the needle and $d$ the distance between the parallel lines . I have solved the case which ...
This is not a full answer, but only an explanation of the integral appearing in the wikipedia article referenced above. The integral must be slipt in two : $$p= \frac{4}{t\pi}\int_{\theta=0}^{\pi/2} \int_{x=0}^{m(\theta}dx\:d\theta$$ $$p= \frac{4}{t\pi}\int_{\theta=0}^{\pi/2} \int_{x=0}^{ \frac{l}{2...
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Buffon, Côte-d'Or
Buffon () is a commune in the Côte-d'Or department, in eastern France. Population
Personalities
Georges-Louis Leclerc, Comte de Buffon established ironworks there (Forges de Buffon).
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Simulating Buffon's needle on Matlab I am trying to simulate dropping Buffon's needle onto an A4 sheet of paper, but I am not sure how can I construct an A4 size area (21 x 29.7) and define 2 vertically line at 7cm an...
clc,clear %Note that the condition 'an A4 paper' is in fact not used. n=1e5; l=7; a=5; s=0; for i=1:1:n x=l+l*rand; %If we use 'x=3*l*rand', we should study the cases where x=0 and x=3*l. %y=29.7*rand; The value of y is in fact useless. theta=pi*rand; d1=abs(x-l); d2=abs(x-2*l); theta1=pi-acos(d1/a)...
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Lycée Buffon
It is named for Georges-Louis Leclerc, comte de Buffon. Jean-Claude Durand is its current proviseur. Gallery
External links
Lycée Buffon - official site
Notes
Buffon
Educational institutions established in 1885
1885 establishments in France
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Good introductory book in geometric probability I recently came across the proof of the Buffon theorem and I was fascinated by geometric probability. Could someone indicate me a good introductory book? Maybe with man...
This book will do: Stochastic Geometry and Its Applications, 3rd Edition Sung Nok Chiu, Dietrich Stoyan, Wilfrid S. Kendall, Joseph Mecke
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