[pre-commit.ci] pre-commit autoupdate (#11322)

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maths/numerical_analysis/adams_bashforth.py

@@ -4,6 +4,7 @@ Use the Adams-Bashforth methods to solve Ordinary Differential Equations.
 https://en.wikipedia.org/wiki/Linear_multistep_method
 Author : Ravi Kumar
 """
+
 from collections.abc import Callable
 from dataclasses import dataclass
 

maths/numerical_analysis/nevilles_method.py

@@ -1,11 +1,11 @@
 """
-    Python program to show how to interpolate and evaluate a polynomial
-    using Neville's method.
-    Neville’s method evaluates a polynomial that passes through a
-    given set of x and y points for a particular x value (x0) using the
-    Newton polynomial form.
-    Reference:
-        https://rpubs.com/aaronsc32/nevilles-method-polynomial-interpolation
+Python program to show how to interpolate and evaluate a polynomial
+using Neville's method.
+Neville’s method evaluates a polynomial that passes through a
+given set of x and y points for a particular x value (x0) using the
+Newton polynomial form.
+Reference:
+    https://rpubs.com/aaronsc32/nevilles-method-polynomial-interpolation
 """
 
 

maths/numerical_analysis/newton_raphson.py

@@ -9,6 +9,7 @@ with the precision of the approximation increasing as the number of iterations i
 
 Reference: https://en.wikipedia.org/wiki/Newton%27s_method
 """
+
 from collections.abc import Callable
 
 RealFunc = Callable[[float], float]

maths/numerical_analysis/numerical_integration.py

@@ -1,6 +1,7 @@
 """
 Approximates the area under the curve using the trapezoidal rule
 """
+
 from __future__ import annotations
 
 from collections.abc import Callable

maths/numerical_analysis/runge_kutta_gills.py

@@ -4,6 +4,7 @@ Use the Runge-Kutta-Gill's method of order 4 to solve Ordinary Differential Equa
 https://www.geeksforgeeks.org/gills-4th-order-method-to-solve-differential-equations/
 Author : Ravi Kumar
 """
+
 from collections.abc import Callable
 from math import sqrt
 

maths/numerical_analysis/secant_method.py

@@ -2,6 +2,7 @@
 Implementing Secant method in Python
 Author: dimgrichr
 """
+
 from math import exp