Peaksigmoid

Purpose

Outputs a sigmoid function.

Synopsis

[i0,iw] = peakfind(x,width,tolfac,w,options)

[i0,iw] = peakfind(x,width,options)

Inputs

• x = 3 element vector where x(1) = coefficient, x(2) = offset and x(3) is equal to the decay constant

Outputs

$0$

$\partial {1-e^{-}z}$

$\sum {\partial ^{2}A}{\partial x^{2}}$

${\sqrt {1-e^{2}}}$

$f\left({{a}_{i}},\mathbf {x} \right)={{x}_{1}}\left[{{x}_{4}}{{\operatorname {e} }^{\frac {-4\ln \left(2\right){{\left({{a}_{i}}-{{x}_{2}}\right)}^{2}}}{x_{3}^{2}}}}+\left(1-{{x}_{4}}\right)\left[{\frac {x_{3}^{2}}{{{\left({{a}_{i}}-{{x}_{2}}\right)}^{2}}+x_{3}^{2}}}\right]\right]$

| $dy/dx,\operatorname {d} \!y/\operatorname {d} \!x,{dy \over dx},{\operatorname {d2} \!y \over \operatorname {d2} \!x},{\partial ^{2} \over \partial x_{1}\partial x_{2}}y\!$

• ${\operatorname {d} \!y \over \operatorname {d} \!{x}_{i}}$