maths.series.harmonic

Harmonic mean Reference: https://en.wikipedia.org/wiki/Harmonic_mean

Harmonic series Reference: https://en.wikipedia.org/wiki/Harmonic_series(mathematics)

Functions

harmonic_mean(→ float)	return the harmonic mean of series
is_harmonic_series(→ bool)	checking whether the input series is arithmetic series or not

Module Contents

maths.series.harmonic.harmonic_mean(series: list) → float

return the harmonic mean of series

>>> harmonic_mean([1, 4, 4])
2.0
>>> harmonic_mean([3, 6, 9, 12])
5.759999999999999
>>> harmonic_mean(4)
Traceback (most recent call last):
    ...
ValueError: Input series is not valid, valid series - [2, 4, 6]
>>> harmonic_mean([1, 2, 3])
1.6363636363636365
>>> harmonic_mean([])
Traceback (most recent call last):
    ...
ValueError: Input list must be a non empty list

maths.series.harmonic.is_harmonic_series(series: list) → bool

checking whether the input series is arithmetic series or not >>> is_harmonic_series([ 1, 2/3, 1/2, 2/5, 1/3]) True >>> is_harmonic_series([ 1, 2/3, 2/5, 1/3]) False >>> is_harmonic_series([1, 2, 3]) False >>> is_harmonic_series([1/2, 1/3, 1/4]) True >>> is_harmonic_series([2/5, 2/10, 2/15, 2/20, 2/25]) True >>> is_harmonic_series(4) Traceback (most recent call last):

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ValueError: Input series is not valid, valid series - [1, 2/3, 2] >>> is_harmonic_series([]) Traceback (most recent call last):

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ValueError: Input list must be a non empty list >>> is_harmonic_series([0]) Traceback (most recent call last):

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ValueError: Input series cannot have 0 as an element >>> is_harmonic_series([1,2,0,6]) Traceback (most recent call last):

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ValueError: Input series cannot have 0 as an element