Peaksigmoid

Purpose

Outputs a sigmoid function.

Synopsis

[y,y1,y2] = peaksigmoid(x,ax)

Inputs

• x = 3 element vector where

• x(1) = coefficient
• x(2) = offset
• x(3) = decay constant

• ax = axis 1xN (independent variable)

Outputs

• y(1) = ${{x}_{1}}\left({\frac {1-{{\operatorname {e} }^{-z}}}{{1}+{{\operatorname {e} }^{-z}}}}\right)$

where z = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {x}_{3}\left(ax -{x}_{2} \right)}

• y(2) = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\operatorname{d}\!y\over\operatorname{d}\!{x}_{i}}}

• y(3) = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\operatorname{d^2}\!y\over\operatorname{d}\!{{x}_{i}}^{2}}}