Chance operations & probability theory
From GenerativeArt
(Difference between revisions)
(→Statistical Distributions) |
(→Statistical Distributions) |
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As more and more lines are added to Pascal's Triangle the distribution approximates a "bell curve" or the normal distribution, also known as a Gaussian Distribution. This distribution is found throughout nature, for example height and weight measurements of a given population will approximate a normal distribution. | As more and more lines are added to Pascal's Triangle the distribution approximates a "bell curve" or the normal distribution, also known as a Gaussian Distribution. This distribution is found throughout nature, for example height and weight measurements of a given population will approximate a normal distribution. | ||
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{{SingleImage|imageWidthPlusTen=594|imageURL=http://www-viz.tamu.edu/courses/viza658/wiki/prob/01.jpg|caption=Gaussian Distribution}} | {{SingleImage|imageWidthPlusTen=594|imageURL=http://www-viz.tamu.edu/courses/viza658/wiki/prob/01.jpg|caption=Gaussian Distribution}} | ||
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{{SingleImage|imageWidthPlusTen=730|imageURL=http://www-viz.tamu.edu/courses/viza658/wiki/prob/02.jpg|caption=Faces generated with psuedo-random numbers}} | {{SingleImage|imageWidthPlusTen=730|imageURL=http://www-viz.tamu.edu/courses/viza658/wiki/prob/02.jpg|caption=Faces generated with psuedo-random numbers}} | ||
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{{SingleImage|imageWidthPlusTen=730|imageURL=http://www-viz.tamu.edu/courses/viza658/wiki/prob/03.jpg|caption=Faces generated with Gaussian Distribution}} | {{SingleImage|imageWidthPlusTen=730|imageURL=http://www-viz.tamu.edu/courses/viza658/wiki/prob/03.jpg|caption=Faces generated with Gaussian Distribution}} | ||
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<SPAN STYLE="font-size: larger;"><u>The Law of Large Numbers</u></SPAN> | <SPAN STYLE="font-size: larger;"><u>The Law of Large Numbers</u></SPAN> | ||
http://www.jcu.edu/math/isep/Quincunx/Quincunx.html | http://www.jcu.edu/math/isep/Quincunx/Quincunx.html | ||
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== Pragmatic notes on using random numbers in art == | == Pragmatic notes on using random numbers in art == |