• notion in quantum mechanics, see scattering matrix. In multivariate statistics and probability theory, the scatter matrix is a statistic that is used to...
    3 KB (420 words) - 21:07, 14 April 2025
  • the S-matrix or scattering matrix is a matrix that relates the initial state and the final state of a physical system undergoing a scattering process...
    50 KB (9,215 words) - 22:43, 28 May 2025
  • Thumbnail for Scatter plot
    A scatter plot, also called a scatterplot, scatter graph, scatter chart, scattergram, or scatter diagram, is a type of plot or mathematical diagram using...
    12 KB (1,332 words) - 13:51, 9 June 2025
  • Thumbnail for Scattering
    physics the quantum interaction and scattering of fundamental particles is described by the Scattering Matrix or S-Matrix, introduced and developed by John...
    30 KB (3,725 words) - 05:56, 25 April 2025
  • electromagnetics, the scattering-matrix method (SMM) is a numerical method used to solve Maxwell's equations, related to the transfer-matrix method. SMM can...
    3 KB (310 words) - 13:52, 29 March 2023
  • {1}{n}}XJ_{n,1}} is the sample mean. The centering matrix allows us to express the scatter matrix more compactly as S = X C n ( X C n ) T = X C n C n...
    5 KB (959 words) - 21:02, 14 April 2025
  • regression analysis, a design matrix, also known as model matrix or regressor matrix and often denoted by X, is a matrix of values of explanatory variables...
    9 KB (1,591 words) - 21:03, 14 April 2025
  • Scattering parameters or S-parameters (the elements of a scattering matrix or S-matrix) describe the electrical behavior of linear electrical networks...
    45 KB (7,535 words) - 01:21, 9 June 2025
  • an article, "Numerical solution of 2-dimensional scattering problems using a transmission-line matrix", with Peter B. Johns in 1971. The TLM method is...
    13 KB (2,646 words) - 18:23, 15 November 2024
  • Thumbnail for Transfer-matrix method (optics)
    Neutron reflectometry Ellipsometry Jones calculus X-ray reflectivity Scattering-matrix method Born, M.; Wolf, E., Principles of optics: electromagnetic theory...
    14 KB (2,216 words) - 01:19, 21 October 2024
  • trimmed mean and the Winsorized mean. Estimation of covariance matrices Scatter matrix Unbiased estimation of standard deviation Richard Arnold Johnson; Dean...
    13 KB (2,206 words) - 14:55, 21 May 2025
  • Dyadics Householder transformation Norm (mathematics) Ricci calculus Scatter matrix Cartesian product Cross product Exterior product Hadamard product (matrices)...
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  • Thumbnail for Matrix (mathematics)
    particles with specific and distinct masses. Another matrix serves as a key tool for describing the scattering experiments that form the cornerstone of experimental...
    128 KB (15,714 words) - 03:56, 4 July 2025
  • Thumbnail for Covariance matrix
    covariance matrix (also known as auto-covariance matrix, dispersion matrix, variance matrix, or variance–covariance matrix) is a square matrix giving the...
    37 KB (5,799 words) - 21:03, 14 April 2025
  • Redheffer star product (category Scattering theory)
    scattering matrices. Given two scattering matrices from different linear scatterers, the Redheffer star product yields the combined scattering matrix...
    19 KB (3,205 words) - 01:13, 20 June 2025
  • algebra, eigendecomposition is the factorization of a matrix into a canonical form, whereby the matrix is represented in terms of its eigenvalues and eigenvectors...
    40 KB (5,590 words) - 09:06, 4 July 2025
  • of interactions, but never as asymptotic states or indices to the scattering matrix. The accuracy and use of virtual particles in calculations is firmly...
    23 KB (2,949 words) - 20:35, 23 May 2025
  • input and output modes can be obtained in the form of a scattering matrix. The scattering matrix of a discrete step can be obtained rigorously by applying...
    7 KB (967 words) - 03:58, 9 September 2024
  • {\displaystyle {t_{i}}={\left({1-{v_{i}}{G_{0+}}}\right)^{-1}}{v_{i}}} is the scattering matrix for one atom. Iterating this equation leads to T = ∑ i t i + ∑ i t...
    19 KB (3,425 words) - 16:45, 19 February 2025
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    of port 1. An ideal three-port circulator thus has the following scattering matrix: S = ( 0 0 1 1 0 0 0 1 0 ) {\displaystyle S={\begin{pmatrix}0&0&1...
    35 KB (4,065 words) - 14:40, 18 June 2025
  • Thumbnail for Wave function
    set of in states and out states respectively, is called the S-matrix or scattering matrix. Knowledge of it is, effectively, having solved the theory at...
    99 KB (13,584 words) - 18:24, 21 June 2025
  • helps one calculate exactly the mass spectrum and scattering matrix. Calculation of the scattering matrix reproduces the results published earlier by Alexander...
    6 KB (766 words) - 18:09, 7 July 2024
  • Belevitch first introduced the important idea of the scattering matrix (called repartition matrix by Belevitch). This work was reproduced in part in a...
    27 KB (3,346 words) - 19:42, 27 March 2025
  • Thumbnail for Synthetic-aperture radar
    covariance matrix. The method is based on simple physical scattering mechanisms (surface scattering, double-bounce scattering, and volume scattering). The...
    79 KB (11,260 words) - 07:13, 27 May 2025
  • p × p random matrix S = G G T = ∑ i = 1 n g i g i T {\displaystyle S=GG^{T}=\sum _{i=1}^{n}g_{i}g_{i}^{T}} known as the scatter matrix. One indicates...
    27 KB (4,236 words) - 17:11, 4 July 2025
  • Thumbnail for Mie scattering
    Mie scattering representations In electromagnetism, the Mie solution to Maxwell's equations (also known as the Lorenz–Mie solution, the Lorenz–Mie–Debye...
    58 KB (9,240 words) - 15:57, 24 May 2025
  • Thumbnail for Landau–Zener formula
    the scattering matrix. There are also integrability conditions that, when they are satisfied, lead to exact expressions for the entire scattering matrices...
    22 KB (2,844 words) - 19:40, 31 May 2025
  • the partial scattering amplitude and Pℓ are the Legendre polynomials. The partial amplitude can be expressed via the partial wave S-matrix element Sℓ (...
    7 KB (1,214 words) - 19:09, 19 April 2025
  • Thumbnail for Subsurface scattering
    Subsurface scattering (SSS), also known as subsurface light transport (SSLT), is a mechanism of light transport in which light that penetrates the surface...
    10 KB (1,201 words) - 12:20, 18 May 2024
  • Thumbnail for List of named matrices
    system. S matrix — a matrix in quantum mechanics that connects asymptotic (infinite past and future) particle states. Scattering matrix - a matrix in Microwave...
    32 KB (1,336 words) - 21:01, 14 April 2025