In this article, we will be looking at the step-wise procedure to convert a Hermite series to a polynomial in Python.
NumPy.herm2poly method
To convert a Hermite series to a polynomial, use the np.herm2poly() function from the Numpy package of python. Convert the given array representing the coefficients of a Hermite series, ordered from lowest degree to highest, to an array of the coefficients of the equivalent polynomial (relative to the “standard” basis) ordered from lowest to the highest degree.
Syntax: np.herm2poly(hermite series)
Parameter:
- hermite series: 1-D array
Return: Return the coefficient of polynomial.
Stepwise Implementation:
Step 1: In this step, we are importing the required packages needed.
Python3
import numpy as npfrom numpy.polynomial import hermite |
Step 2: In this step, we are creating an array containing 10 coefficients and displaying it.
Python3
gfg = np.array([1,2,3,4,5,6,7,8,9,10])print(gfg) |
Output:
[ 1 2 3 4 5 6 7 8 9 10]
Step 3: In this step we are checking the dimension and the datatype of the array created in step 2.
Python3
print("Dimensions of our Array:-",gfg.ndim)print("\nDatatype of Array:-",gfg.dtype) |
Output:
Dimensions of our Array:- 1 Datatype of Array:- int64
Step 4: In this step, we are checking the shape of the array created in step 2.
Python3
print("\nShape of Array:-",gfg.shape) |
Output:
Shape of Array:- (10,)
Step 5: This is the final step where we are using the np.herm2poly() function to Hermite series to a polynomial:
Python3
print("\n Converting Hermite series to a polynomial", hermite.herm2poly(gfg)) |
Example:
This method returns a 1-D array containing the coefficients of the equivalent polynomial (relative to the “standard” basis) ordered from lowest order term to highest. The parameter passed is a 1-D array containing the Hermite series coefficients, ordered from the lowest order term to the highest.
Python3
import numpy as npfrom numpy.polynomial import hermitegfg = np.array([1,2,3,4,5,6,7,8,9,10])print(gfg)print("\nDimensions of our Array:-",gfg.ndim)print("\nDatatype of Array:-",gfg.dtype)print("\nShape of Array:-",gfg.shape)print("\n Converting Hermite series to a polynomial",hermite.herm2poly(gfg)) |
Output:
[ 1 2 3 4 5 6 7 8 9 10]
Dimensions of our Array:- 1
Datatype of Array:- int64
Shape of Array:- (10,)
Converting Hermite series to a polynomial [ 14335. 289636. -116148. -780448. 117680. 473280. -31808. -91136. 2304. 5120.]
