• The spectral dimension is a real-valued quantity that characterizes a spacetime geometry and topology. It characterizes a spread into space over time,...
    4 KB (478 words) - 11:22, 5 April 2024
  • Thumbnail for Hyperspectral imaging
    represent two spatial dimensions of the scene, and λ represents the spectral dimension (comprising a range of wavelengths). Technically speaking, there are...
    47 KB (4,968 words) - 15:27, 31 May 2025
  • on finite-dimensional vector spaces but requires some modification for operators on infinite-dimensional spaces. In general, the spectral theorem identifies...
    25 KB (3,852 words) - 23:00, 22 April 2025
  • evidence for dimensional reduction has come mainly, although not exclusively, from calculations of the spectral dimension. The spectral dimension is a measure...
    8 KB (1,051 words) - 20:16, 21 November 2024
  • Thumbnail for Spectral clustering
    statistics, spectral clustering techniques make use of the spectrum (eigenvalues) of the similarity matrix of the data to perform dimensionality reduction...
    27 KB (3,562 words) - 02:56, 14 May 2025
  • Thumbnail for Spectral color
    three-dimensional color space (which includes luminance), the spectral colors form a surface. When excluding luminance and considering a two-dimensional color...
    11 KB (995 words) - 22:06, 19 May 2025
  • one-dimensional space and in equal intervals for ease of visualization. Data binning may be used when small instrumental shifts in the spectral dimension...
    4 KB (440 words) - 13:30, 9 November 2023
  • communications, noise spectral density (NSD), noise power density, noise power spectral density, or simply noise density (N0) is the power spectral density of noise...
    3 KB (322 words) - 20:58, 4 May 2025
  • Multidimension spectral estimation is a generalization of spectral estimation, normally formulated for one-dimensional signals, to multidimensional signals...
    14 KB (2,385 words) - 00:53, 2 June 2025
  • Thumbnail for Nonlinear dimensionality reduction
    candidate for dimensionality reduction of the dynamical system. While such manifolds are not guaranteed to exist in general, the theory of spectral submanifolds...
    48 KB (6,119 words) - 04:01, 2 June 2025
  • original spectral theorem was therefore conceived as a version of the theorem on principal axes of an ellipsoid, in an infinite-dimensional setting. The...
    32 KB (4,686 words) - 16:23, 17 May 2025
  • 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...
    21 KB (2,783 words) - 17:17, 22 April 2025
  • contexts are defined based on two neighboring coefficients in the spectral dimension and no neighboring coefficients in the same spatial plane. This contrasts...
    9 KB (1,258 words) - 07:46, 17 January 2025
  • Thumbnail for Stellar classification
    from Yerkes Observatory. This two-dimensional (temperature and luminosity) classification scheme is based on spectral lines sensitive to stellar temperature...
    107 KB (11,634 words) - 13:02, 29 May 2025
  • Thumbnail for Hilbert space
    dimensional setting. In particular, the spectral theory of continuous self-adjoint linear operators on a Hilbert space generalizes the usual spectral...
    128 KB (17,469 words) - 06:51, 28 May 2025
  • Thumbnail for Sentinel-4
    UV and NIR spectral elements can be separately recorded. Each CCD observes both the spectral dimension and the north–south spatial dimension. The instrument...
    18 KB (2,013 words) - 10:43, 5 June 2025
  • Thumbnail for Spectroscopy
    radiative energy, and recently gravitational waves have been associated with a spectral signature in the context of the Laser Interferometer Gravitational-Wave...
    44 KB (4,768 words) - 18:59, 23 May 2025
  • Thumbnail for Cassini–Huygens
    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...
    131 KB (12,225 words) - 18:57, 6 June 2025
  • Thumbnail for Spectral acceleration
    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...
    3 KB (232 words) - 12:56, 25 March 2025
  • In mathematics, spectral graph theory is the study of the properties of a graph in relationship to the characteristic polynomial, eigenvalues, and eigenvectors...
    15 KB (1,844 words) - 20:28, 19 February 2025
  • 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...
    7 KB (1,106 words) - 00:24, 10 December 2024
  • PMID 21405217 Sotiriou, Thomas P.; Visser, Matt; Weinfurtner, Silke (2011), "Spectral Dimension as a Probe of the Ultraviolet Continuum Regime of Causal Dynamical...
    8 KB (626 words) - 19:18, 30 March 2025
  • discussing the spectral properties of compact operators. The reader will see that most statements transfer verbatim from the matrix case. The spectral theory...
    13 KB (2,284 words) - 10:52, 5 June 2025
  • solutions in percolation and cluster counting problems and definition of spectral dimension of fractals." John J. Hopfield Princeton University "extending the...
    15 KB (867 words) - 22:07, 3 June 2025
  • (typically 3 to 15) of spectral bands. Hyperspectral imaging is a special case of spectral imaging where often hundreds of contiguous spectral bands are available...
    22 KB (2,682 words) - 01:59, 26 May 2025
  • 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...
    8 KB (1,122 words) - 17:04, 31 May 2025
  • Thumbnail for Functional analysis
    many theorems known as the spectral theorem, but one in particular has many applications in functional analysis. Spectral theorem—Let A {\displaystyle...
    20 KB (2,496 words) - 21:48, 29 April 2025
  • Thumbnail for Waterfall plot
    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...
    3 KB (173 words) - 15:21, 14 April 2024
  • Perez-Garcia, David (17 August 2020). "Undecidability of the Spectral Gap in One Dimension". Physical Review X. 10 (3): 031038. arXiv:1810.01858. Bibcode:2020PhRvX...
    5 KB (509 words) - 03:17, 17 April 2025
  • 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...
    69 KB (6,563 words) - 14:07, 26 May 2025