singular spectrum
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Singular Spectrum Analysis — The Singular Spectrum Analysis (SSA) techniqueis a powerful technique of time series analysisincorporating the elements of classical time series analysis,multivariate statistics, multivariate geometry, dynamical systemsand signal processing. The… … Wikipedia
Singular value decomposition — Visualization of the SVD of a 2 dimensional, real shearing matrix M. First, we see the unit disc in blue together with the two canonical unit vectors. We then see the action of M, which distorts the disk to an ellipse. The SVD decomposes M into… … Wikipedia
Spectrum (homotopy theory) — In algebraic topology, a branch of mathematics, a spectrum is an object representing a generalized cohomology theory. There are several different constructions of categories of spectra, all of which give the same homotopy category.Suppose we… … Wikipedia
spectrum — spec|trum [ spektrəm ] noun singular ** 1. ) the whole range of ideas, qualities, situations, etc. that are possible: the parties at the center of the political spectrum wide/broad spectrum (=a large range): The course covers a wide spectrum of… … Usage of the words and phrases in modern English
spectrum */*/ — UK [ˈspektrəm] / US noun [singular] 1) the whole range of ideas, qualities, situations etc that are possible the parties at the centre of the political spectrum wide/broad spectrum (= a large range): The course covers a wide spectrum of musical… … English dictionary
spectrum — [ˈspektrəm] noun [singular] 1) the whole range of ideas, qualities, situations etc that are possible 2) the complete range of colours into which light can be separated … Dictionary for writing and speaking English
Decomposition of spectrum (functional analysis) — In mathematics, especially functional analysis, the spectrum of an operator generalizes the notion of eigenvalues. Given an operator, it is sometimes useful to break up the spectrum into various parts. This article discusses a few examples of… … Wikipedia
Essential spectrum — In mathematics, the essential spectrum of a bounded operator is a certain subset of its spectrum, defined by a condition of the type that says, roughly speaking, fails badly to be invertible .The essential spectrum of self adjoint operatorsIn… … Wikipedia
Hilbert spectrum — The Hilbert spectrum (sometimes referred to as the Hilbert amplitude spectrum ) is a statistical tool that can help in distinguishing among a mixture of moving signals. The spectrum itself is decomposed into its component sources using… … Wikipedia
electromagnetic spectrum — UK / US noun [singular] physics the complete range of electromagnetic waves from the shortest, which are gamma rays, to the longest, which are radio waves … English dictionary
Hamiltonian (quantum mechanics) — In quantum mechanics, the Hamiltonian H is the observable corresponding to the total energy of the system. As with all observables, the spectrum of the Hamiltonian is the set of possible outcomes when one measures the total energy of a system.… … Wikipedia
