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ERFC meaning in Computing ? |
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Answer» What is Error Function mean? In mathematics, the error function (also called the Gauss error function), often denoted by erf, is a complex function of a complex variable defined as: erf z = 2 π ∫ 0 z e − t 2 d t . {\displaystyle \operatorname {erf} z={\frac {2}{\sqrt {\pi }}}\int _{0}^{z}e^{-t^{2}}\,dt.}This integral is a special (non-elementary) sigmoid function that occurs often in probability, statistics, and partial differential equations. In many of these applications, the function argument is a real number. If the function argument is real, then the function value is also real. In statistics, for non-negative values of x, the error function has the following interpretation: for a random variable Y that is normally distributed with mean 0 and standard deviation 1/√2, erf x is the probability that Y falls in the range [−x, x]. Two closely related functions are the complementary error function (erfc) defined as erfc z = 1 − erf z , {\displaystyle \operatorname {erfc} z=1-\operatorname {erf} z,}and the imaginary error function (erfi) defined as erfi z = − i erf i z , {\displaystyle \operatorname {erfi} z=-i\operatorname {erf} iz,}where i is the imaginary unit. reference
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