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Statistical Papers
Article . 2001 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2001
Data sources: zbMATH Open
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The quincunx: history and mathematics

The quincunx: History and mathematics
Authors: Kunert, Joachim; Montag, Astrid; Pöhlmann, Sigrid;

The quincunx: history and mathematics

Abstract

A quincunx is an arrangement of five objects, four of them at the vertices of a square or rectangle, and the fifth at its centre. About 1873 Fr. Galton invented a simple device which he called quincunx. It showed that shot, falling through an array of pins, collected in a figure resembling a normal curve. The authors describe Galton's work at the time; argue that the quincunx was his natural-scientific approach to the central limit theorem (CLT); dwell on the generalizations of that device (Galton himself; Pearson, in 1895); and provide an appropriate mathematical background. They did not remark that the conditions for the CLT established at the time were less restrictive than Galton thought (p. 149) and their expression (p. 159) ``the percentage of balls \dots converges to infinity'' was unfortunate. That Galton invented identification by fingerprints (p. 144) is wrong: he had predecessors, see ``Fingerprints'' in New Enc. Brit., 15th ed., vol. 4.

Related Organizations
Keywords

History of probability theory, Strong limit theorems, quincunx, History of mathematics in the 19th century, Central limit and other weak theorems, F. Galton

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Top 10%
Average
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