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

SIAM Journal on Applied Mathematics, Vol. 29, No. 4 (Dec., 1975), pp. 571-581 (11 pages) This paper studies the topology of the minimum cost network, which connects a given set of points in R 2. The ...

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 ...

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 ...

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 ...

Conventional techniques may not be sufficient, but a new approach to implementing nonlinear algorithms may accomplish the goal. Roy Batruni, CEO, Optichron Nonlinear signal distortion is widespread ...

has developed the world's first programmable nonlinear photonic waveguide that can switch between multiple nonlinear-optical functions on a single chip. The breakthrough fundamentally alters how ...