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Materias / palabras clave: Mathematics; Algorithm; Noise (video); Constraint (computer-aided design); Image (mathematics); Curvature; Projection (relational algebra); Manifold (fluid mechanics); Partial differential equation; Nonlinear system; Set...

Many areas of science depend on exploratory data analysis and visualization. The need to analyze large amounts of multivariate data raises the fundamental problem of dimensionality reduction: how to discover compact repr...

Materias / palabras clave: Nonlinear optics; Optics; Optical fiber; Brillouin scattering; Nonlinear system; Fiber; Fiber laser; Photonic-crystal fiber; Physics; Laser; Materials science; Composite material

Materias / palabras clave: Dynamical systems theory; Nonlinear Oscillations; Nonlinear system; Bifurcation; Nonlinear dynamical systems; Biological applications of bifurcation theory; Vector field; Control theory (sociology); Computer science; Bif...

Materias / palabras clave: nonlinear processes, nonlinear phenomena, nonlinear modelling, nonlinear analysis modelling, nonlinear analysis control; Science: Mathematics: Analysis

Materias / palabras clave: nonlinear interactions, nonlinear problems, non linear engineering; Technology: Engineering (General). Civil engineering (General)

Materias / palabras clave: scaling and multifractals, predictability, nonlinear waves, turbulence and diffusion, chaos and nonlinear time series analysis, nonlinear systems and dynamics; Science: Physics: Geophysics. Cosmic physics

Scientists working with large volumes of high-dimensional data, such as global climate patterns, stellar spectra, or human gene distributions, regularly confront the problem of dimensionality reduction: finding meaningfu...

Increasingly, for many application areas, it is becoming important to include elements of nonlinearity and non-Gaussianity in order to model accurately the underlying dynamics of a physical system. Moreover, it is typica...

Previous article Next article An Algorithm for Least-Squares Estimation of Nonlinear ParametersDonald W. MarquardtDonald W. Marquardthttps://doi.org/10.1137/0111030PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport Ci...

We show that microstructures built from nonmagnetic conducting sheets exhibit an effective magnetic permeability /spl mu//sub eff/, which can be tuned to values not accessible in naturally occurring materials, including ...

A sensitive single-beam technique for measuring both the nonlinear refractive index and nonlinear absorption coefficient for a wide variety of materials is reported. The authors describe the experimental details and pres...

Materias / palabras clave: Interior point method; Algorithm; Line search; Karush–Kuhn–Tucker conditions; Nonlinear programming; Heuristics; Filter (signal processing); Mathematical optimization; Mathematics; Nonlinear system; Convergence (econ...

Materias / palabras clave: nonlinear mathematical physics, nonlinear continuous and discrete equations of mathematical physics, integrability and non-integrability of continuous and discrete systems, painlevé analysis, geometry of soliton equatio...

Materias / palabras clave: nonlinear analysis, nonlinear functional analysis, differential equations, integral equations; Science: Mathematics: Analysis

The architecture and learning procedure underlying ANFIS (adaptive-network-based fuzzy inference system) is presented, which is a fuzzy inference system implemented in the framework of adaptive networks. By using a hybri...

Abstract This article provides a comprehensive review of current research activities that concentrate on one‐dimensional (1D) nanostructures—wires, rods, belts, and tubes—whose lateral dimensions fall anywhere in t...

A concept for the optimization of nonlinear functions using particle swarm methodology is introduced. The evolution of several paradigms is outlined, and an implementation of one of the paradigms is discussed. Benchmark ...