File:Gjl-t(x).svg

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Summary

Description
English: Some sigmoid functions compared.

All functions are normalized in such a way that they satisfy

  • −1 < ƒ(x) < 1
  • ƒ(−x) = −ƒ(x) and hence ƒ(0) = 0
  • 0 < ƒ'(x) ≤ 1 and ƒ'(x) = 1 iff x = 0
  • ƒ(∞) = 1 and ƒ(−∞) = −1
  • all functions are analytic except x/(1+|x|) which is not analytic at 0.

For notations see also

An "interactive" plot can be generated via WolframAlpha
Date
Source Own work
 
This vector image includes elements that have been taken or adapted from this file:
 Error function.svg (by Geek3).
Author Georg-Johann
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inception

15 September 2010

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Date/TimeThumbnailDimensionsUserComment
current00:40, 16 September 2010Thumbnail for version as of 00:40, 16 September 2010700 × 350 (36 KB)wikimediacommons>Georg-JohannAdd erf(x)

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