Remove Small Trailing Coefficients from Hermite Polynomial in Python

Remove Small Trailing Coefficients from Hermite Polynomial in Python

To remove small trailing coefficients from a Hermite polynomial in Python, you can use NumPy's hermetrim() method, which trims the small trailing coefficients of a Hermite series.

Here's how you can use this function:

  • Import the necessary libraries:
import numpy as np
  • Define your Hermite coefficients. For instance:
# Hermite coefficients for H_0 + 2*H_1 + 0.0001*H_2 + 0.00001*H_3 coeff = [1, 2, 0.0001, 0.00001]
  • Define a tolerance below which coefficients are considered small:
tolerance = 1e-3
  • Trim the small trailing coefficients:
trimmed_coeff = np.polynomial.hermite_e.hermetrim(coeff, tol=tolerance) print(trimmed_coeff)

In this example, the coefficients below the set tolerance (1e-3) would be removed, resulting in the trimmed coefficients.

Note: Hermite polynomials come in two versions in NumPy: "physicist's" Hermite (herm) and "probabilist's" Hermite (herme). The example uses the "probabilist's" Hermite (herme). Ensure you're using the correct variant depending on your requirements.

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