In this article, we will be looking toward the approach to evaluating a Hermite_e series at a tuple of points x using Python and NumPy.
Example:
Tuple: (6,7,8,9,10) Result: [102175. 191631. 329175. 529399. 808815.] Explanation: Hermite_e series at points x.
NumPy.polynomial.hermite_e.hermeval() method
To evaluate a Hermite_e series at a tuple of points x we need to call the hermite_e.hermeval() method of the Numpy library in Python. this method takes two parameters, the first parameter is the x, where x is a list or tuple, and the 2nd parameter is C, which is an array of coefficients. This method returns the coefficient of series after multiplication.
Syntax : np.polynomial.hermite_e.hermeval(x, c)
Parameter:
- x: list or tuple
- c: array of coefficient
Return : Return the coefficient of series after multiplication.
Example 1
In this example, we created an array of 5 data points of one dimension and further created a tuple named x, then with the use of the hermite_e.hermeval() method to pass the required parameters to evaluate the Hermite_e series at points (6,7,8,9,10).
Python3
import numpy as np from numpy.polynomial import hermite_e a = np.array([1, 2, 3, 4, 5]) # Dimensions of Array print("Dimensions of Array: ", a.ndim) # Shape of the array print("\nShape of Array: ", a.shape) # Tuple x = (6, 7, 8, 9, 10) # To evaluate a Hermite_e series at points x print("\nHermite series at point", hermite_e.hermeval(x, a)) |
Output:
Dimensions of Array: 1
Shape of Array: (5,)
Hermite series at point [ 6325. 11997. 20733. 33457. 51213.]
Example 2
In this example, we created a 2-D array of 10 data points and further created a tuple name x, then with the use of the hermite_e.hermeval() method and pass the required parameters to evaluate the Hermite_e series at a tuple at points (11,12,13,14,15).
Python3
import numpy as np from numpy.polynomial import hermite_e a = np.array([[1, 2, 3, 4, 5], [6, 7, 8, 9, 10]]) # Dimensions of Array print("Dimensions of Array: ", a.ndim) # Shape of the array print("\nShape of Array: ", a.shape) # Tuple x = (11, 12, 13, 14, 15) # To evaluate a Hermite_e series at points x print("\nHermite series at point", hermite_e.hermeval(x, a)) |
Output:
Dimensions of Array: 2 Shape of Array: (2, 5) Hermite series at point [[ 67. 73. 79. 85. 91.] [ 79. 86. 93. 100. 107.] [ 91. 99. 107. 115. 123.] [103. 112. 121. 130. 139.] [115. 125. 135. 145. 155.]]
