Peaksigmoid: Difference between revisions

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imported>Mathias
imported>Mathias
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<math>0</math>


<math>\partial{1-e^-z}</math>
<math>\sum{\partial^2 A}{\partial x^2}</math>


<math>\sqrt{1-e^2}</math>
<math>\sqrt{1-e^2}</math>
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<math>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]</math>
<math>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]</math>


{\operatorname{d2}\!y\over\operatorname{d2}\!x}
*'''<math>{\operatorname{d2}\!y\over\operatorname{d2}\!x}</math>'''




* '''<math>{\operatorname{d}\!y\over\operatorname{d}\!{x}_{i}}</math>'''
* '''<math>{\operatorname{d}\!y\over\operatorname{d}\!{x}_{i}}</math>'''

Revision as of 13:31, 1 August 2016

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