[pre-commit.ci] auto fixes from pre-commit.com hooks

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Author: pre-commit-ci[bot]

maths/laplace_transformation.py

@@ -24,13 +24,13 @@ def laplace_transform(
 
     Example: For f(t) = 1, the Laplace transform L{1} = 1/s.
     If s = 2, L{1} should be 0.5.
-    
+
     >>> t = np.linspace(0, 50, 10000)
     >>> f_t = np.ones_like(t) # f(t) = 1
     >>> res = laplace_transform(f_t, s_value=2.0, delta_t=50/10000)
     >>> abs(res - 0.5) < 1e-3
     True
-    
+
     Example: For f(t) = e^(-t), the Laplace transform L{e^-t} = 1/(s+1).
     If s = 1, L{e^-t} should be 0.5.
 
@@ -45,19 +45,17 @@ def laplace_transform(
 
     # Time vector corresponding to the function values
     time_vector = np.arange(len(function_values)) * delta_t
-    
+
     # The integrand: f(t) * e^(-s*t)
     integrand = function_values * np.exp(-s_value * time_vector)
-    
+
     # Numerical integration using the trapezoidal rule
     result = np.trapezoid(integrand, dx=delta_t)
-    
+
     return float(result)
 
 
 if __name__ == "__main__":
     import doctest
 
-    
     doctest.testmod()
-