method of stationary phase

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• Stationary phase approximation — In mathematics, the stationary phase approximation is a basic principle of asymptotic analysis, applying to oscillatory integrals taken over n dimensional space Rn where i is the imaginary unit. Here f and g are real valued smooth functions. The… …   Wikipedia

• Method of steepest descent — For the optimization algorithm, see Gradient descent. In mathematics, the method of steepest descent or stationary phase method or saddle point method is an extension of Laplace s method for approximating an integral, where one deforms a contour… …   Wikipedia

• Reassignment method — The method of reassignment is a technique forsharpening a time frequency representation by mappingthe data to time frequency coordinates that are nearer tothe true region of support of theanalyzed signal. The method has been… …   Wikipedia

• Spectral phase interferometry for direct electric-field reconstruction — In ultrafast optics, spectral phase interferometry for direct electric field reconstruction (SPIDER) is an ultrashort pulse measurement technique.The basicsSPIDER is an interferometric ultrashort pulse measurement technique in the frequency… …   Wikipedia

• Reversed-phase chromatography — (RPC) includes any chromatographic method that uses a non polar stationary phase. The name reversed phase has a historical background. In the 1970s most liquid chromatography was done on non modified silica or alumina with a hydrophilic surface… …   Wikipedia

• Coefficient diagram method — (CDM), developed and introduced by Prof. Shunji Manabe in 1991. CDM is an algebraic approach applied to a polynomial loop in the parameter space, where a special diagram called a coefficient diagram is used as the vehicle to carry the necessary… …   Wikipedia

• Riemann-Hilbert — For the original problem of Hilbert concerning the existence of linear differential equations having a given monodromy group see Hilbert s twenty first problem. In mathematics, Riemann Hilbert problems are a class of problems that arise, inter… …   Wikipedia

• Common integrals in quantum field theory — There are common integrals in quantum field theory that appear repeatedly.[1] These integrals are all variations and generalizations of gaussian integrals to the complex plane and to multiple dimensions. Other integrals can be approximated by… …   Wikipedia

• Riemann-Lebesgue lemma — In mathematics, the Riemann Lebesgue lemma (one of its special cases is also called Mercer s theorem), is of importance in harmonic analysis and asymptotic analysis. It is named after Bernhard Riemann and Henri Lebesgue. The lemma says that the… …   Wikipedia

• chromatography — chromatographer, n. chromatographic /kreuh mat euh graf ik, kroh meuh teuh /, adj. chromatographically, adv. /kroh meuh tog reuh fee/, n. Chem. the separation of mixtures into their constituents by preferential adsorption by a solid, as a column… …   Universalium

• analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …   Universalium