astropy:docs

BrokenPowerLaw1D

class astropy.modeling.powerlaws.BrokenPowerLaw1D(amplitude, x_break, alpha_1, alpha_2, **constraints)[source] [edit on github]

Bases: astropy.modeling.core.Parametric1DModel

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

Notes

Model formula (with A for amplitude and \alpha_1 for alpha_1 and \alpha_2 for alpha_2):

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.

Attributes Summary

alpha_1
alpha_2
amplitude
param_names list() -> new empty list
x_break

Methods Summary

deriv(x, amplitude, x_break, alpha_1, alpha_2) One dimensional broken power law derivative
eval(x, amplitude, x_break, alpha_1, alpha_2) One dimensional broken power law model function

Attributes Documentation

alpha_1
alpha_2
amplitude
param_names = ['amplitude', 'x_break', 'alpha_1', 'alpha_2']
x_break

Methods Documentation

static deriv(x, amplitude, x_break, alpha_1, alpha_2)[source] [edit on github]

One dimensional broken power law derivative

static eval(x, amplitude, x_break, alpha_1, alpha_2)[source] [edit on github]

One dimensional broken power law model function

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