Subtract one Hermite series from another in Python

To subtract one Hermite series to another, use the polynomial.hermite.hermsub() method in Python Numpy. The method returns an array representing the Hermite series of their difference. Returns the difference of two Hermite series c1 - c2. The sequences of coefficients are 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 subtract one Hermite series to another, use the polynomial.hermite.hermsub() method in Python Numpy −

print("\nResult (difference)....\n",H.hermsub(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 subtract one Hermite series to another, use the polynomial.hermite.hermsub() method in Python Numpy
# The method returns an array representing the Hermite series of their difference.
print("\nResult (difference)....\n",H.hermsub(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 (difference)....
   [-2. 0. 2.]