Take the Cartesian product of these two sampled sets to produce two arrays that (when stacked) form a set of ordered pairs we can compute a function on: X, Y = np.meshgrid(x_points, y_points) Sample points within each of these intervals: x_points = np.linspace(x_interval, x_interval, 100) y_points = np.linspace(y_interval, y_interval, 100)ģ.
With this in mind, we can define our domain and store it in a set of arrays in three steps. For our plot to look nice, it’s sufficient to sample enough points within our domain so the end product will look smooth and not unnaturally jagged. In our case, the domain will consist of tuples of real numbers.Īlthough there are infinitely many real numbers inside any interval, we obviously can’t store an infinite set for our domain. This first set of inputs is called the domain of the function.
A mathematical function is a map that takes elements from one set and associates them with one element of another set.
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