mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-12-18 17:20:16 +00:00
bc5b92f7f9
* Harmonic Geometric and P-Series Added * Editing comments * Update and rename series/Geometric_Series.py to maths/series/geometric_series.py * Update and rename series/Harmonic_Series.py to maths/series/harmonic_series.py * Update and rename series/P_Series.py to maths/series/p_series.py
49 lines
1.2 KiB
Python
49 lines
1.2 KiB
Python
"""
|
|
This is a pure Python implementation of the P-Series algorithm
|
|
https://en.wikipedia.org/wiki/Harmonic_series_(mathematics)#P-series
|
|
|
|
For doctests run following command:
|
|
python -m doctest -v p_series.py
|
|
or
|
|
python3 -m doctest -v p_series.py
|
|
|
|
For manual testing run:
|
|
python3 p_series.py
|
|
"""
|
|
|
|
|
|
def p_series(nth_term: int, power: int) -> list:
|
|
"""Pure Python implementation of P-Series algorithm
|
|
|
|
:return: The P-Series starting from 1 to last (nth) term
|
|
|
|
Examples:
|
|
>>> p_series(5, 2)
|
|
[1, '1/4', '1/9', '1/16', '1/25']
|
|
>>> p_series(-5, 2)
|
|
[]
|
|
>>> p_series(5, -2)
|
|
[1, '1/0.25', '1/0.1111111111111111', '1/0.0625', '1/0.04']
|
|
>>> p_series("", 1000)
|
|
''
|
|
>>> p_series(0, 0)
|
|
[]
|
|
>>> p_series(1, 1)
|
|
[1]
|
|
"""
|
|
if nth_term == "":
|
|
return nth_term
|
|
nth_term = int(nth_term)
|
|
power = int(power)
|
|
series = []
|
|
for temp in range(int(nth_term)):
|
|
series.append(f"1/{pow(temp + 1, int(power))}" if series else 1)
|
|
return series
|
|
|
|
|
|
if __name__ == "__main__":
|
|
nth_term = input("Enter the last number (nth term) of the P-Series")
|
|
power = input("Enter the power for P-Series")
|
|
print("Formula of P-Series => 1+1/2^p+1/3^p ..... 1/n^p")
|
|
print(p_series(nth_term, power))
|