• Thumbnail for John William Strutt, 3rd Baron Rayleigh
    (Institute of Physics) Rayleigh bandwidth (signal processing) Rayleigh quotient iteration Rayleigh's quotient in vibrations analysis Rayleigh sky model Representative...
    27 KB (2,431 words) - 11:47, 28 June 2025
  • maximizing signal-to-noise ratio in the feature space in form of Rayleigh quotient. This approach has several benefits in Image processing applications:...
    14 KB (3,095 words) - 19:53, 3 May 2025
  • Thumbnail for Principal component analysis
    can be recognised as a Rayleigh quotient. A standard result for a positive semidefinite matrix such as XTX is that the quotient's maximum possible value...
    117 KB (14,851 words) - 03:05, 30 June 2025
  • Thumbnail for Legendre polynomials
    Legendre polynomials (category CS1 German-language sources (de))
    _{n=1}^{\infty }nP_{n}(x)t^{n-1}\,.} Replacing the quotient of the square root with its definition in Eq. 2, and equating the coefficients...
    38 KB (7,177 words) - 23:20, 23 June 2025
  • Numerical range (category CS1 German-language sources (de))
    sumset. General properties The numerical range is the range of the Rayleigh quotient. (Hausdorff–Toeplitz theorem) The numerical range is convex and compact...
    17 KB (2,893 words) - 01:45, 22 June 2025
  • Raygor Rayleigh criterion, distribution, fading, number, quotient, scattering, waves – Lord Rayleigh Rayleigh–Bénard cell/convection – Lord Rayleigh and...
    72 KB (6,888 words) - 11:20, 28 June 2025
  • the spectral domains, both problems are stated equivalently using Rayleigh quotients in the form λ = ⟨ R H − 1 L F , R H − 1 L F ⟩ ⟨ H − 1 L F , H − 1...
    20 KB (2,839 words) - 10:30, 4 July 2025
  • d={\sqrt {2}}} ). Furthermore, for a smooth, bounded domain Ω, since the Rayleigh quotient for the Laplace operator in the space W 0 1 , 2 ( Ω ) {\displaystyle...
    14 KB (2,209 words) - 20:38, 19 June 2025
  • List of inventions and discoveries by women (category CS1 German-language sources (de))
    measure surface tension, published several papers and was credited by Lord Rayleigh and Irving Langmuir. Mass spectrometry Sybil M. Rock developed the mathematical...
    65 KB (7,658 words) - 04:10, 20 June 2025
  • iteration Jacobi method Lanczos iteration Power iteration QR algorithm Rayleigh quotient iteration Gram–Schmidt process: orthogonalizes a set of vectors Krylov...
    72 KB (7,951 words) - 17:13, 5 June 2025
  • Thumbnail for Thermophoresis
    reported by John Tyndall in 1870 and further understood by John Strutt (Baron Rayleigh) in 1882. Thermophoresis in liquid mixtures was first observed and reported...
    14 KB (1,629 words) - 02:48, 2 June 2025
  • The proof goes by restating the problem as a minimization of the Rayleigh quotient. The isoperimetric inequality can be deduced from the Pólya–Szegő...
    13 KB (2,247 words) - 12:06, 2 March 2024
  • Thumbnail for Noether's theorem
    Noether's theorem (category CS1 German-language sources (de))
    systems that cannot be modeled with a Lagrangian alone (e.g., systems with a Rayleigh dissipation function). In particular, dissipative systems with continuous...
    71 KB (11,807 words) - 22:12, 19 June 2025
  • Hansen, Hill, and Gyldén on astronomy; Maxwell on spherical harmonics; Lord Rayleigh on acoustics; and the contributions of Lejeune Dirichlet, Weber, Kirchhoff...
    55 KB (6,752 words) - 21:44, 19 June 2025
  • r_{i}\equiv |z_{i}|=(u_{i}^{2}+v_{i}^{2})^{\frac {1}{2}},\;\;i=1,2} are Rayleigh distributions defined as: f r ( r i ) = r i e − r i 2 / 2  of mean  π 2...
    41 KB (8,987 words) - 08:48, 30 June 2025
  • Thumbnail for Properties of water
    Properties of water (category CS1 German-language sources (de))
    values at other temperatures. The thermodynamic equilibrium constant is a quotient of thermodynamic activities of all products and reactants including water:...
    90 KB (9,586 words) - 00:57, 19 June 2025
  • locating the eigenvalues of a matrix Power iteration Inverse iteration Rayleigh quotient iteration Arnoldi iteration — based on Krylov subspaces Lanczos algorithm...
    70 KB (8,327 words) - 09:12, 7 June 2025
  • u_{1}(x)} . This variational characterization of eigenvalues leads to the Rayleigh–Ritz method: choose an approximating u {\displaystyle u} as a linear combination...
    58 KB (9,530 words) - 08:36, 5 June 2025
  • 2307/1971280. JSTOR 1971280. Batterson, Steve; Smillie, John (1990). "Rayleigh quotient iteration for nonsymmetric matrices". Mathematics of Computation....
    9 KB (867 words) - 07:45, 15 October 2024
  • positive definite and X {\displaystyle \mathbf {X} } is indefinite. The Rayleigh quotient λ n ≈ I n H X I n I n H R I n {\displaystyle \lambda _{n}\approx {\frac...
    30 KB (3,500 words) - 00:31, 26 May 2025
  • that the eigenvalues can be described by the maximum-minimum principle of Rayleigh–Ritz (see below). In fact it is easy to see a priori that the eigenvalues...
    63 KB (9,399 words) - 17:12, 26 February 2025