Almost perfect nonlinear (APN) functions play a pivotal role in cryptography, particularly in securing symmetric key algorithms against differential attacks. Their algebraic properties, including ...

This study deals with atmospheric tropopause detection by satellite. It is found that incorrect forecasting of the trdpopause height yields a systematic bias in temperature profile estimates which use ...

Lookup tables and Taylor series are two common methods for interpolating between experimentally gathered data or for generating a known function such as a sine wave. This article proposes a third ...

SIAM Journal on Numerical Analysis, Vol. 14, No. 2 (Apr., 1977), pp. 254-282 (29 pages) A mathematical characterization of nonlinear interpolating spline curves is developed through a variational ...

Activation functions play a critical role in AI inference, helping to ferret out nonlinear behaviors in AI models. This makes them an integral part of any neural network, but nonlinear functions can ...

The commonly-quoted derivation of 3rd harmonic distortion level from the series expansion of the gain function produces an inaccurate result. This is often excused as an inherent artifact of the ...

Non-linear physics is the study of systems where the output is not directly proportional to the input. Unlike linear systems, which follow simple, predictable relationships, non-linear systems exhibit ...