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Logarithmic Coordinate Transformation and Integration of the Logistic Function
  • Detlef Ruschin
Detlef Ruschin
Fraunhofer Heinrich Hertz Institute
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Abstract

Sometimes measurement data are modeled with a logistic function of a logarithmic independent variable. If such a function is plotted over a linear axis, its sigmoid form is replaced by a negatively accelerated curve described by the Naka-Rushton equation. Furthermore sometimes it is required to know the size of an area below the plotted logistic function, for which the integral function of the logistic must be know.