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imported>Mathias |
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| ===Purpose===
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| Outputs a sigmoid function.
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| ===Synopsis===
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| :[i0,iw] = peakfind(x,width,tolfac,w,options)
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| :[i0,iw] = peakfind(x,width,options)
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| ====Inputs====
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| * '''x''' = 3 element vector where x(1) = coefficient, x(2) = offset and x(3) is equal to the decay constant
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| ====Outputs====
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| <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>
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| *'''<math>{\operatorname{d^2}\!y\over\operatorname{d}\!{x_{i}}</math>'''
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| * '''<math>{\operatorname{d}\!y\over\operatorname{d}\!{x}_{i}}</math>'''
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Latest revision as of 11:44, 1 August 2019