LogParabola1D¶
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class
astropy.modeling.powerlaws.
LogParabola1D
[source] [edit on github]¶ Bases:
astropy.modeling.Fittable1DModel
One dimensional log parabola model (sometimes called curved power law).
Parameters: amplitude : float
Model amplitude
x_0 : float
Reference point
alpha : float
Power law index
beta : float
Power law curvature
Notes
Model formula (with \(A\) for
amplitude
and \(\alpha\) foralpha
and \(\beta\) forbeta
):\[f(x) = A \left(\frac{x}{x_{0}}\right)^{- \alpha - \beta \log{\left (\frac{x}{x_{0}} \right )}}\]Attributes Summary
alpha
amplitude
beta
param_names
x_0
Methods Summary
evaluate
(x, amplitude, x_0, alpha, beta)One dimensional log parabola model function fit_deriv
(x, amplitude, x_0, alpha, beta)One dimensional log parabola derivative with respect to parameters Attributes Documentation
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alpha
¶
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amplitude
¶
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beta
¶
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param_names
= ('amplitude', 'x_0', 'alpha', 'beta')¶
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x_0
¶
Methods Documentation
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static
evaluate
(x, amplitude, x_0, alpha, beta)[source] [edit on github]¶ One dimensional log parabola model function
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static
fit_deriv
(x, amplitude, x_0, alpha, beta)[source] [edit on github]¶ One dimensional log parabola derivative with respect to parameters
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