ufunc Summations

Summations

What is the difference between summation and addition?

Addition is done between two arguments whereas summation happens over n elements.

Example

  import numpy as np

arr1 = np.array([1, 2, 3])
arr2 = np.array([1, 2,
  3])

newarr = np.add(arr1, arr2)

print(newarr)

Note: Returns: [2 4 6]

Example

  import numpy as np

arr1 = np.array([1, 2, 3])
arr2 = np.array([1, 2,
  3])

newarr = np.sum([arr1, arr2])

print(newarr)

Note: Returns: 12

Summation Over an Axis

If you specify axis=1, NumPy will sum the numbers in each array.

Example

  import numpy as np

arr1 = np.array([1, 2, 3])
arr2 = np.array([1, 2,
  3])

newarr = np.sum([arr1, arr2], axis=1)

print(newarr)

Note: Returns: [6 6]

Cummulative Sum

Cummulative sum means partially adding the elements in array.

E.g. The partial sum of [1, 2, 3, 4] would be [1, 1+2, 1+2+3, 1+2+3+4] = [1, 3, 6, 10].

Perfom partial sum with the cumsum() function.

Example

  import numpy as np

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

newarr = np.cumsum(arr)

print(newarr)

Note: Returns: [1 3 6]