Key facts
- General definition
- 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}
- Fields of application
- Probability, thermodynamics, digital communications
- Domain
- C {\displaystyle \mathbb {C} }
- Image
- ( − 1 , 1 ) {\displaystyle \left(-1,1\right)}
- Parity
- Odd
- Derivative
- d d z erf ( z ) = 2 π e − z 2 {\displaystyle {\frac {d}{dz}}\operatorname {erf} (z)={\frac {2}{\sqrt {\pi }}}e^{-z^{2}}}
- Antiderivative
- ∫ erf ( z ) d z = z erf ( z ) + e − z 2 π + C {\displaystyle \int \operatorname {erf} (z)\,dz=z\operatorname {erf} (z)+{\frac {e^{-z^{2}}}{\sqrt {\pi }}}+C}
via Wikipedia infobox
Wikidata facts
- Image
- Error Function.svg
Show 1 more fact
- Commons category
- Error function
Sources (2)
via Wikidata · CC0
Article · 中文
在数学中，误差函数（英語：Error function）是一个特殊函数，符号。误差函数在概率论，统计学以及偏微分方程中都有广泛的应用。它的定义如下：
Abstract from DBpedia / Wikipedia · CC BY-SA
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