Gaussian distribution: Difference between revisions
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Carl McBride (talk | contribs) m (Added applications section.) |
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where <math>\mu</math> is the mean and <math>\sigma^2</math> is the variance. | where <math>\mu</math> is the mean and <math>\sigma^2</math> is the variance. | ||
==Applications in statistical mechanics== | |||
*[[Diffusion]] | |||
*[[Rouse model]] | |||
==See also== | ==See also== | ||
*[[Numbers with a Gaussian distribution]] | *[[Numbers with a Gaussian distribution]] | ||
==External links== | ==External links== | ||
*[http://mathworld.wolfram.com/NormalDistribution.html MathWorld Normal Distribution] | *[http://mathworld.wolfram.com/NormalDistribution.html MathWorld Normal Distribution] | ||
[[category: mathematics]] | [[category: mathematics]] | ||
Latest revision as of 11:01, 7 July 2008
The Gaussian distribution (also known as the normal distribution) is given by:
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle P(x) = \frac{1}{\sigma \sqrt{2 \pi}} \exp \left( \frac{-(x -\mu)^2}{2 \sigma ^2} \right)}
where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mu} is the mean and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sigma^2} is the variance.