Kfunktio
Kfunktio is a parametric mathematical function used to illustrate bounded, monotone nonlinear mappings on the real numbers. For a nonnegative parameter K, it is defined by f_K(x) = x / (1 + K |x|). The function is continuous and strictly increasing for all x, with the special case K = 0 reducing to the identity f_0(x) = x. When K > 0, the function saturates for large |x|, approaching ±1/K as x → ±∞.
Key properties of Kfunktio include its continuity and differentiability across all real numbers, with a positive
Variants of the concept generalize the form by introducing additional parameters or powers, such as f_K,α(x) =
Applications for Kfunktio include serving as a lightweight activation function in neural networks, where bounded outputs