4.7.7 pde.tools.math module

Auxiliary mathematical functions.

`SmoothData1D`	Allows smoothing data in 1d using a Gaussian kernel of defined width.
`OnlineStatistics`	Class for using an online algorithm for calculating statistics.

class OnlineStatistics[source]

Class for using an online algorithm for calculating statistics.

Add a value to the accumulator.

property std: float

recorded standard deviation

to_dict() → dict[str, Any][source]: Return the information as a dictionary.

property var: float

recorded variance

class SmoothData1D(x, y, sigma: float | None = None)[source]

Allows smoothing data in 1d using a Gaussian kernel of defined width.

The data is given a pairs of x and y, the assumption being that there is an underlying relation y = f(x).

Initialize with data.

Parameters:

x – List of x values
y – List of y values
sigma (float) – The size of the smoothing window in units of x. If omitted, the average distance of x values multiplied by sigma_auto_scale is used.

derivative(xs: ArrayLike) → NumericArray[source]

Return the derivative of the smoothed values for the positions xs

Note that this value