BrokenPowerLaw1D¶
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class
astropy.modeling.powerlaws.
BrokenPowerLaw1D
[source] [edit on github]¶ Bases:
astropy.modeling.Fittable1DModel
One dimensional power law model with a break.
Parameters: amplitude : float
Model amplitude at the break point
x_break : float
Break point
alpha_1 : float
Power law index for x < x_break
alpha_2 : float
Power law index for x > x_break
See also
Notes
Model formula (with \(A\) for
amplitude
and \(\alpha_1\) foralpha_1
and \(\alpha_2\) foralpha_2
):\[\begin{split}f(x) = \left \{ \begin{array}{ll} A (x / x_{break}) ^ {-\alpha_1} & : x < x_{break} \\ A (x / x_{break}) ^ {-\alpha_2} & : x > x_{break} \\ \end{array} \right.\end{split}\]Attributes Summary
alpha_1
alpha_2
amplitude
param_names
x_break
Methods Summary
evaluate
(x, amplitude, x_break, alpha_1, alpha_2)One dimensional broken power law model function fit_deriv
(x, amplitude, x_break, alpha_1, ...)One dimensional broken power law derivative with respect to parameters Attributes Documentation
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alpha_1
¶
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alpha_2
¶
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amplitude
¶
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param_names
= ('amplitude', 'x_break', 'alpha_1', 'alpha_2')¶
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x_break
¶
Methods Documentation
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static
evaluate
(x, amplitude, x_break, alpha_1, alpha_2)[source] [edit on github]¶ One dimensional broken power law model function
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static
fit_deriv
(x, amplitude, x_break, alpha_1, alpha_2)[source] [edit on github]¶ One dimensional broken power law derivative with respect to parameters
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