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ON NONLINEAR FUNCTIONS OF LINEAR COMBINATIONS
approximation theory nonlinear high-dimensional nonparametric regression polynomials, Schwartz distributions
2015/7/14
Projection pursuit algorithms approximate a function of p variables by a sum of nonlinear
functions of linear combinations’
Programmable design and implementation of a chaotic system utilizing multiple nonlinear functions
Field programmable analog array chaos chaotic system mathematical modeling
2010/10/12
In addition to exhibiting a rich variety of bifurcation and chaos via tuning parameters, a chaotic system introduced by Sprott can be modeled and realized with a fixed main system block and many diffe...
Nonlinear Functions and Quantum Entanglement Generation using Silicon Photonic Wire Waveguides
Nonlinear Functions Quantum Entanglement Generation Silicon Photonic Wire Waveguides
2015/7/16
Nonlinear optical phenomena are remarkably enhanced in silicon photonic wire waveguides with ultra-small cores. Efficient nonlinear functions, such as a wavelength conversion and high-purity entangled...
Improving the algebraic immunity of resilient and nonlinear functions and constructing bent functions
Algebraic attacks Stream ciphers Boolean Function Algebraic Degree
2009/3/31
The currently known constructions of Boolean functions with
high nonlinearities, high algebraic degrees and high resiliency orders
do not seem to permit achieving sufficiently high algebraic
immuni...
Quadratic Almost Perfect Nonlinear Functions With Many Terms
almost perfect nonlinear bent function CCZ equivalence Fourier spectrum
2008/9/5
We introduce a new infinite family of multiterm functions that are APN on GF(22k)
for odd k.