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ufunc Hyperbolic

NumPy provides hyperbolic ufuncs for operations involving hyperbolic angles, such as sinh, cosh, and tanh. These functions are commonly used in engineering, machine learning, and mathematics.

Key Topics

Basic Hyperbolic Functions

Hyperbolic ufuncs include sinh, cosh, and tanh, which operate on real numbers.

Example

# Hyperbolic functions
import numpy as np

values = np.array([0, 1, -1])

sinh = np.sinh(values)
cosh = np.cosh(values)
tanh = np.tanh(values)

print("Sinh:", sinh)
print("Cosh:", cosh)
print("Tanh:", tanh)

Output

Sinh: [ 0. 1.175 -1.175]
Cosh: [1. 1.543 1.543]
Tanh: [ 0. 0.761 -0.761]

Explanation: Hyperbolic functions compute the hyperbolic sine, cosine, and tangent of real numbers, useful in various mathematical contexts.

Key Takeaways

  • Hyperbolic Functions: Use sinh, cosh, and tanh for hyperbolic operations on real numbers.
  • Applications: Commonly used in solving differential equations, physics, and neural networks.
  • Efficiency: NumPy's ufuncs handle hyperbolic computations element by element for optimal performance.
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