Gamma#

class Gamma(up=True, gain_scale_factor=1.0, cutoff=0.999, **kwargs)[source]#

Gamma response function with 3 parameters A, a, and n.

Parameters:

up (bool or None, optional) – indicates whether a positive stress will cause the head to go up (True, default) or down (False), if None the head can go both ways.
gain_scale_factor (float, optional) – mean value of the stress, used to set the initial value such that the final step times the mean stress equals 1.
cutoff (float, optional) – proportion after which the step function is cut off.

Notes

The impulse response function for this class can be viewed on the Documentation website or using latexify by running the following code in a Jupyter notebook environment:

ps.Gamma.impulse

The Gamma function is equal to the Exponential function when n=1.

Attributes#

impulse

Methods#

`__init__`
`block`	Method to return the block function.
`gain`
`get_init_parameters`	Get initial parameters and bounds.
`get_t`	Internal method to determine the times at which to evaluate the step response, from t=0.
`get_tmax`	Method to get the response time for a certain cutoff.
`step`	Method to return the step function.
`to_dict`	Method to export the response function to a dictionary.