hyperbolic tangent function
The hyperbolic tangent function, often denoted as tanh(x), is a mathematical function that maps real numbers to values between -1 and 1. It is defined as the ratio of the exponential function to the negative exponential function raised to the power of the input, subtracted by 1. The hyperbolic tangent function is frequently used in various fields such as mathematics, physics, and computer science for its properties, including its smoothness, symmetry, and saturation at extreme values.
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