overcomplete
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Overcompleteness — A system in a Banach space X is complete if every element in X can be approximated arbitrarily well in norm by finite linear combinations of elements in .[1] Such a complete system is overcomplete if removal of a ϕj from the system results in a… … Wikipedia
Wavelet — A wavelet is a mathematical function used to divide a given function or continuous time signal into different frequency components and study each component with a resolution that matches its scale. A wavelet transform is the representation of a… … Wikipedia
Coherent states — In quantum mechanics a coherent state is a specific kind of quantum state of the quantum harmonic oscillator whose dynamics most closely resembles the oscillating behaviour of a classical harmonic oscillator. It was the first example of quantum… … Wikipedia
Coherent states in mathematical physics — Coherent states have been introduced in a physical context, first as quasi classical states in quantum mechanics, then as the backbone of quantum optics and they are described in that spirit in the article Coherent states (see also [1]). However … Wikipedia
Gaussian beam — In optics, a Gaussian beam is a beam of electromagnetic radiation whose transverse electric field and intensity (irradiance) distributions are well approximated by Gaussian functions. Many lasers emit beams that approximate a Gaussian profile, in … Wikipedia
Arrhenius equation — The Arrhenius equation is a simple, but remarkably accurate, formula for the temperature dependence of the rate constant, and therefore, rate of a chemical reaction. [http://www.iupac.org/goldbook/A00446.pdf Arrhenius equation] IUPAC Goldbook… … Wikipedia
Coherent state — In quantum mechanics a coherent state is a specific kind of quantum state of the quantum harmonic oscillator whose dynamics most closely resemble the oscillating behaviour of a classical harmonic oscillator system. It was the first example of… … Wikipedia
Independent component analysis — (ICA) is a computational method for separating a multivariate signal into additive subcomponents supposing the mutual statistical independence of the non Gaussian source signals. It is a special case of blind source separation. Definition When… … Wikipedia
Efficient coding hypothesis — The efficient coding hypothesis was proposed by Horace Barlow in 1961 as a theoretical model of sensory coding in the brain. Within the brain, neurons often communicate with one another by sending electrical impulses referred to as action… … Wikipedia
overcompleteness — noun The condition of being overcomplete … Wiktionary
