Add Euler Mascheroni Constant to Each Element of a NumPy Array

To add the Euler-Mascheroni constant (approximately 0.57721) to each element of a NumPy array, we can use NumPy’s broadcasting feature. Broadcasting allows you to perform element-wise operations between arrays of different shapes and sizes, including scalar values (like the Euler-Mascheroni constant) and arrays.

Add Euler Mascheroni Constant to Each Element of a NumPy Array in Python

 

Introduction :

1. Euler-Mascheroni Constant: The Euler-Mascheroni constant, often denoted by γ, is a mathematical constant that appears in various areas of number theory and analysis. Its approximate value is 0.57721.
2. NumPy Array: A NumPy array is a powerful n-dimensional array object that allows vectorized operations, which are fast and efficient compared to using loops. The goal is to add the Euler-Mascheroni constant to each element of this array.
3. Element-wise Addition: Using broadcasting in NumPy, you can directly add a scalar (in this case, the Euler-Mascheroni constant) to an entire array. This operation will be applied element-wise, meaning the constant will be added to each element of the array individually.

import numpy as np

# Euler-Mascheroni constant
euler_mascheroni_constant = 0.57721

# Create a sample NumPy array
arr = np.array([1, 2, 3, 4, 5])

# Add Euler-Mascheroni constant to each element of the array
result = arr + euler_mascheroni_constant

# Print the original and the result
print("Original array:")
print(arr)

print("\nArray after adding Euler-Mascheroni constant:")
print(result)

Output :

Original array: [1 2 3 4 5] 

Array after adding Euler-Mascheroni constant: 

[1.57721 2.57721 3.57721 4.57721 5.57721]

 

Explanation:

1. Importing NumPy:
   • import numpy as np allows you to use NumPy’s array manipulation functions.
2. Euler-Mascheroni Constant:
   • euler_mascheroni_constant = 0.57721 defines the value of the Euler-Mascheroni constant.
3. Creating the Array:
   • arr = np.array([1, 2, 3, 4, 5]) creates a NumPy array arr with values [1, 2, 3, 4, 5].
4. Adding the Constant:
   • result = arr + euler_mascheroni_constant adds the Euler-Mascheroni constant to each element of the array. NumPy automatically broadcasts the scalar (0.57721) across all elements in arr.
5. Printing Results:
   • The original array arr and the modified array result are printed.