Add one Hermite series to another in Python

To add one Hermite series to another, use the polynomial.hermite.hermadd() method in Python Numpy. The method returns an array representing the Hermite series of their sum. Returns the sum of two Hermite series c1 + c2. The arguments are sequences of coefficients ordered from lowest order term to highest, i.e., [1,2,3] represents the series P_0 + 2*P_1 + 3*P_2. The parameters c1 and c2 are 1-D arrays of Hermite series coefficients ordered from low to high.

Steps

At first, import the required library −

import numpy as np from numpy.polynomial import hermite as H

Create 1-D arrays of Hermite series coefficients −

c1 = np.array([1,2,3]) c2 = np.array([3,2,1])

Display the arrays of coefficients −

print("Array1...\n",c1) print("\nArray2...\n",c2)

Display the datatype −

print("\nArray1 datatype...\n",c1.dtype) print("\nArray2 datatype...\n",c2.dtype)

Check the Dimensions of both the arrays −

print("\nDimensions of Array1...\n",c1.ndim) print("\nDimensions of Array2...\n",c2.ndim)

Check the Shape of both the arrays −

print("\nShape of Array1...\n",c1.shape) print("\nShape of Array2...\n",c2.shape)

To add one Hermite series to another, use the polynomial.hermite.hermadd() method in Python Numpy −

print("\nResult (sum)....\n",H.hermadd(c1, c2)) 

Example

import numpy as np from numpy.polynomial import hermite as H # Create 1-D arrays of Hermite series coefficients c1 = np.array([1,2,3]) c2 = np.array([3,2,1]) # Display the arrays of coefficients print("Array1...\n",c1) print("\nArray2...\n",c2) # Display the datatype print("\nArray1 datatype...\n",c1.dtype) print("\nArray2 datatype...\n",c2.dtype) # Check the Dimensions of both the arrays print("\nDimensions of Array1...\n",c1.ndim) print("\nDimensions of Array2...\n",c2.ndim) # Check the Shape of both the arrays print("\nShape of Array1...\n",c1.shape) print("\nShape of Array2...\n",c2.shape) # To add one Hermite series to another, use the polynomial.hermite.hermadd() method in Python Numpy # The method returns an array representing the Hermite series of their sum. # Returns the sum of two Hermite series c1 + c2. The arguments are print("\nResult (sum)....\n",H.hermadd(c1, c2))

Output

Array1... [1 2 3] Array2... [3 2 1] Array1 datatype... int64 Array2 datatype... int64 Dimensions of Array1... 1 Dimensions of Array2... 1 Shape of Array1... (3,) Shape of Array2... (3,) Result (sum).... [4. 4. 4.]