Question

Using Python:

1. Compute the difference of differences between consecutive numbers of a series:

input 
ser = pd.Series([1, 3, 6, 10, 15, 21, 27, 35])
 
output:
[nan, 2.0, 3.0, 4.0, 5.0, 6.0, 6.0, 8.0]
[nan, nan, 1.0, 1.0, 1.0, 1.0, 0.0, 2.0]

2. Compute the euclidean distance between two series:

Input: 

p = pd.Series([1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
q = pd.Series([10, 9, 8, 7, 6, 5, 4, 3, 2, 1])

Desired Output: 

18.165

Answer 1

1.

Source Code:

Output:

Code in text format (See above images of code for indentation):

#import library pandas
import pandas as pd

#series initilaization
ser = pd.Series([1, 3, 6, 10, 15, 21, 27, 35])

#difference between consecutive numbers of series
print(ser.diff().tolist())
#difference of difference betweeen consecutive number of series
print(ser.diff().diff().tolist())

2.

Source Code:

Output:

Code in text format (See above images of code for indentation):

#import libraries numpy and pandas
import pandas as pd
import numpy as np

#two series of data intialized
p = pd.Series([1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
q = pd.Series([10, 9, 8, 7, 6, 5, 4, 3, 2, 1])

#calculate euclid distance of p and q series
#norm in numpy is euclid norm
distance=np.linalg.norm(p-q)
#print euclid distance
print(round(distance,3))