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nonlinear conditions

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  • Nonlinear optics — (NLO) is the branch of optics that describes the behaviour of light in nonlinear media, that is, media in which the dielectric polarization P responds nonlinearly to the electric field E of the light. This nonlinearity is typically only observed… …   Wikipedia

  • Nonlinear control — is the area of control engineering specifically involved with systems that are nonlinear, time variant, or both. Many well established analysis and design techniques exist for LTI systems (e.g., root locus, Bode plot, Nyquist criterion, state… …   Wikipedia

  • Nonlinear photonic crystal — Nonlinear photonic crystals are usually used as quasi phase matching materials. They can be either one dimensional[1] or two dimensional.[2] Nonlinear Photonic Crystals Broadly speaking, nonlinear photonic crystals (PC) are periodic structures… …   Wikipedia

  • Nonlinear system — Not to be confused with Non linear editing system. This article describes the use of the term nonlinearity in mathematics. For other meanings, see nonlinearity (disambiguation). In mathematics, a nonlinear system is one that does not satisfy the… …   Wikipedia

  • Nonlinear programming — In mathematics, nonlinear programming (NLP) is the process of solving a system of equalities and inequalities, collectively termed constraints, over a set of unknown real variables, along with an objective function to be maximized or minimized,… …   Wikipedia

  • Conditions d'optimalité (dimension finie) — En optimisation mathématique, les conditions d optimalité sont un ensemble d équations, d inéquations (i.e., des inégalités) et d expressions diverses (e.g., la semi définie positivité de matrices sur des cônes) vérifiées par une solution d un… …   Wikipédia en Français

  • Nonlinear dimensionality reduction — High dimensional data, meaning data that requires more than two or three dimensions to represent, can be difficult to interpret. One approach to simplification is to assume that the data of interest lies on an embedded non linear manifold within… …   Wikipedia

  • Nonlinear resonance — In physics, nonlinear resonance is the occurrence of resonance in a nonlinear system. In nonlinear resonance the system behaviour – resonance frequencies and modes – depends on the amplitude of the oscillations, while for linear systems this is… …   Wikipedia

  • Nonlinear conjugate gradient method — In numerical optimization, the nonlinear conjugate gradient method generalizes the conjugate gradient method to nonlinear optimization. For a quadratic function : The minimum of f is obtained when the gradient is 0: . Whereas linear conjugate… …   Wikipedia

  • Karush–Kuhn–Tucker conditions — In mathematics, the Karush–Kuhn–Tucker (KKT) conditions (also known as the Kuhn–Tucker conditions) are necessary for a solution in nonlinear programming to be optimal, provided that some regularity conditions are satisfied. Allowing inequality… …   Wikipedia

  • List of nonlinear partial differential equations — In mathematics and physics, nonlinear partial differential equations are (as their name suggests) partial differential equations with nonlinear terms. They describe many different physical systems, ranging from gravitation to fluid dynamics, and… …   Wikipedia

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