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Gaussian distribution

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The Gaussian distribution (also known as the normal distribution) is given by:

P(x) = \frac{1}{\sigma \sqrt{2 \pi}} \exp \left( \frac{-(x -\mu)^2}{2 \sigma ^2} \right)

where \mu is the mean and \sigma^2 is the variance.

Applications in statistical mechanics[edit]

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