# Difference between revisions of "Dictionary:Gaussian distribution"

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{{#category_index:G|Gaussian distribution}} | {{#category_index:G|Gaussian distribution}} | ||

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(gaus' ē ∂n) <b>A normal</b> or <b>bell-shaped distribution</b>. A set of values so distributed about a mean value ''m'' that the probability <math>\varepsilon(\Delta a)</math> of a value lying within a small interval <math>\Delta a</math> centered at the point ''a'' is | (gaus' ē ∂n) <b>A normal</b> or <b>bell-shaped distribution</b>. A set of values so distributed about a mean value ''m'' that the probability <math>\varepsilon(\Delta a)</math> of a value lying within a small interval <math>\Delta a</math> centered at the point ''a'' is | ||

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<center><math>\varepsilon (\Delta a) = \text{erf} (\Delta a)=\frac{e^{-\left(a-m\right)^2}\Delta a}{\sigma \sqrt{2\pi}}</math>,</center> | <center><math>\varepsilon (\Delta a) = \text{erf} (\Delta a)=\frac{e^{-\left(a-m\right)^2}\Delta a}{\sigma \sqrt{2\pi}}</math>,</center> | ||

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where <math>\sigma </math> is the standard error and <math>\varepsilon(\Delta a)</math> is called the <b>error function</b>. | where <math>\sigma </math> is the standard error and <math>\varepsilon(\Delta a)</math> is called the <b>error function</b>. | ||

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## Latest revision as of 03:02, 29 January 2018

(gaus' ē ∂n) **A normal** or **bell-shaped distribution**. A set of values so distributed about a mean value *m* that the probability of a value lying within a small interval centered at the point *a* is

where is the standard error and is called the **error function**.