The spectral dimension is a real-valued quantity that characterizes a spacetime geometry and topology. It characterizes a spread into space over time,...
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on finite-dimensional vector spaces but requires some modification for operators on infinite-dimensional spaces. In general, the spectral theorem identifies...
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Hyperspectral imaging (section Spectral scanning)
represent two spatial dimensions of the scene, and λ represents the spectral dimension (comprising a range of wavelengths). Technically speaking, there are...
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evidence for dimensional reduction has come mainly, although not exclusively, from calculations of the spectral dimension. The spectral dimension is a measure...
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statistics, spectral clustering techniques make use of the spectrum (eigenvalues) of the similarity matrix of the data to perform dimensionality reduction...
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three-dimensional color space (which includes luminance), the spectral colors form a surface. When excluding luminance and considering a two-dimensional color...
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one-dimensional space and in equal intervals for ease of visualization. Data binning may be used when small instrumental shifts in the spectral dimension...
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communications, noise spectral density (NSD), noise power density, noise power spectral density, or simply noise density (N0) is the power spectral density of noise...
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Multidimension spectral estimation is a generalization of spectral estimation, normally formulated for one-dimensional signals, to multidimensional signals...
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candidate for dimensionality reduction of the dynamical system. While such manifolds are not guaranteed to exist in general, the theory of spectral submanifolds...
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original spectral theorem was therefore conceived as a version of the theorem on principal axes of an ellipsoid, in an infinite-dimensional setting. The...
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contexts are defined based on two neighboring coefficients in the spectral dimension and no neighboring coefficients in the same spatial plane. This contrasts...
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3, Poetics of Fiction (1986), pp. 459–469. Rowe, W. W., Nabokov's Spectral Dimension, Ann Arbor: Ardis, 1981, ISBN 088233641X. Boyd 1991, p. 279. Pritzer...
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Stellar classification (redirect from Spectral class)
stellar classification is the classification of stars based on their spectral characteristics. Electromagnetic radiation from the star is analyzed by...
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UV and NIR spectral elements can be separately recorded. Each CCD observes both the spectral dimension and the north–south spatial dimension. The instrument...
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Hilbert space (redirect from Hilbert space dimension)
dimensional setting. In particular, the spectral theory of continuous self-adjoint linear operators on a Hilbert space generalizes the usual spectral...
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In mathematics, spectral graph theory is the study of the properties of a graph in relationship to the characteristic polynomial, eigenvalues, and eigenvectors...
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discussing the spectral properties of compact operators. The reader will see that most statements transfer verbatim from the matrix case. The spectral theory...
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Waterfall plots are often used to show how two-dimensional phenomena change over time. A three-dimensional spectral waterfall plot is a plot in which multiple...
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wide-by-narrow view, only one pixel tall and 64 pixels across. The spectral dimension was 1,024 pixels per spatial pixel. It could also take many images...
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Spectral acceleration (SA) is a unit measured in g (the acceleration due to Earth's gravity, equivalent to g-force) that describes the maximum acceleration...
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Spectroscopy (redirect from Atomic spectral line)
radiative energy, and recently gravitational waves have been associated with a spectral signature in the context of the Laser Interferometer Gravitational-Wave...
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Irradiance (redirect from Spectral irradiance)
dimensions and units: spectral irradiance of a frequency spectrum is measured in watts per square metre per hertz (W⋅m−2⋅Hz−1), while spectral irradiance of a...
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Functional analysis (redirect from Infinitely dimensional analysis)
many theorems known as the spectral theorem, but one in particular has many applications in functional analysis. Spectral theorem—Let A {\displaystyle...
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Radiance (redirect from Spectral radiances)
on the direction from which it is being observed. The related quantity spectral radiance is the radiance of a surface per unit frequency or wavelength...
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Spatiospectral scanning (redirect from Spatio-spectral scanning)
Spatio-spectral scanning is one of four techniques for hyperspectral imaging, the other three being spatial scanning, spectral scanning and non-scanning...
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PMID 21405217 Sotiriou, Thomas P.; Visser, Matt; Weinfurtner, Silke (2011), "Spectral Dimension as a Probe of the Ultraviolet Continuum Regime of Causal Dynamical...
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solutions in percolation and cluster counting problems and definition of spectral dimension of fractals." John J. Hopfield Princeton University "extending the...
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fractal dimension of the random walk on an infinite incipient percolation cluster is given by d w {\displaystyle d_{w}} . The spectral dimension d ~ {\displaystyle...
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understanding of the disciplines. He is credited with the introduction of spectral dimension concept in the studies of fractals and contributed to developing a...
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