SciPy Recipes

How to do it…

We start by defining a function that plots a superposition of waves, with the following code:

xvalues = np.linspace(0, 40, 500)def plot_function(ratio=0.1):    plt.figure(figsize=(10,3))    yvalues = np.cos(2*np.pi*xvalues) + \              np.cos(2*np.pi*ratio*xvalues)    plt.plot(xvalues, yvalues,              color='green', lw=2)    plt.axis([0, 40, -2.1, 2.1])    plt.show()

Calling plot_function() by itself produces a static plot of a wave function. The ratio argument is used to specify the ratio between the frequencies of the superimposed waves.

To create an interactive display, simply execute the following in a Jupyter code cell:

from ipywidgets import interact interact(plot_function, ratio=(0.1, 1.1, 0.01))None

This will generate a display similar to the one ...