Team:Evry/LogisticFunctions
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(Difference between revisions)
Line 14: | Line 14: | ||
<h2>Parameters:</h2> | <h2>Parameters:</h2> | ||
<ul> | <ul> | ||
- | <li><b>Q</b> : Magnitude.<br/> <i>lim(g)=Q</i></li> | + | <li><b>Q</b> : Magnitude.<br/> <i>lim(g)=Q</i></li> |
- | <li><b>d</b> : Offset.</li> | + | <li><b>d</b> : Offset.</li><br/> |
- | <li><b>p</b> : Precision.<br/> <i>g(d)=Q*p</i></li> | + | <li><b>p</b> : Precision.<br/> <i>g(d)=Q*p</i></li> |
<li><b>k</b> : Efficiency.</li> | <li><b>k</b> : Efficiency.</li> | ||
</ul> | </ul> |
Revision as of 10:47, 29 August 2013
Logistic functions :
When we started to model biological behaviors, we realised very soon that we were going to need a function that simulates a non-exponential evolution, that would include a simple speed control and a maximum value. A smooth step function.
Such functions, named logistic functions were introduced around 1840 by M. Verhulst.
These functions looked perfect, but we needed more control : we needed to set a starting value and a precision.
Parameters:
- Q : Magnitude.
lim(g)=Q - d : Offset.
- p : Precision.
g(d)=Q*p - k : Efficiency.
References: