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erwor
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There are 5 letters in ERWOR ( E1O1R1W4 )
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Erwor might refer to |
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In mathematics, the error function (also called the Gauss error function) is a special function (non-elementary) of sigmoid shape that occurs in probability, statistics, and partial differential equations describing diffusion. It is defined as:* * * * * * * * erf * * ( * x * ) * * * * = * * * 1 * * π * * * * * ∫ * * − * x * * * x * * * * e * * − * * t * * 2 * * * * * * d * t * * * * * * * = * * * 2 * * π * * * * * ∫ * * 0 * * * x * * * * e * * − * * t * * 2 * * * * * * d * t * . * * * * * * * {\displaystyle {\begin{aligned}\operatorname {erf} (x)&={\frac {1}{\sqrt {\pi }}}\int _{-x}^{x}e^{-t^{2}}\,dt\\[5pt]&={\frac {2}{\sqrt {\pi }}}\int _{0}^{x}e^{-t^{2}}\,dt.\end{aligned}}} * In statistics, for nonnegative values of x, the error function has the following interpretation: for a random variable Y that is normally distributed with mean 0 and variance 1/2, erf(x) describes the probability of Y falling in the range [−x, x]. |