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Update logarithmic_series.py

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Arijit Kumar Das 2024-11-01 19:49:51 +05:30 committed by GitHub
parent 273ee447bf
commit 3f47a1f5b9
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1 changed files with 5 additions and 5 deletions
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maths/series/logarithmic_series.py
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@ -4,12 +4,12 @@ Reference: https://math.stackexchange.com/questions/3973429/what-is-a-logarithmi
""" """
def logarithmic_series(x: float, n_terms: int = 5, expand: bool = False) -> list: def logarithmic_series(x_value: float, n_terms: int = 5, expand: bool = False) -> list:
""" """
Returns the logarithmic series for a number x (log x) upto n terms. Returns the logarithmic series for a number x (log x) upto n terms.
Parameters: Parameters:
x: a floating point number for log(x) x_value: a floating point number for log(x)
n_terms: number of terms to be computed n_terms: number of terms to be computed
expand: Set this flag to get the terms as real numbers, expand: Set this flag to get the terms as real numbers,
unset for unsolved expressions unset for unsolved expressions
@ -27,16 +27,16 @@ def logarithmic_series(x: float, n_terms: int = 5, expand: bool = False) -> list
>>> logarithmic_series(3, expand=True) >>> logarithmic_series(3, expand=True)
[2.0, -2.0, 2.6666666666666665, -4.0, 6.4] [2.0, -2.0, 2.6666666666666665, -4.0, 6.4]
""" """
n_times_x_minus_1: float = x - 1 n_times_x_minus_1: float = x_value - 1
n: int = 1 n: int = 1
series: list = [] series: list = []
for _ in range(n_terms): for _ in range(n_terms):
if expand: if expand:
series.append(((-1) ** (n + 1)) * (n_times_x_minus_1 / n)) series.append(((-1) ** (n + 1)) * (n_times_x_minus_1 / n))
n_times_x_minus_1 *= x - 1 n_times_x_minus_1 *= x_value - 1
else: else:
sign: str = "-" if (-1) ** (n + 1) == -1 else "" sign: str = "-" if (-1) ** (n + 1) == -1 else ""
term: str = sign + "(" + str(x - 1) + "^" + str(n) + ")" + "/" + str(n) term: str = sign + "(" + str(x_value - 1) + "^" + str(n) + ")" + "/" + str(n)
if term.startswith("-(-"): if term.startswith("-(-"):
term = "(" + term[3::] term = "(" + term[3::]
elif term.startswith("(-"): elif term.startswith("(-"):