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
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
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...
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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
Neutron reflectometry Ellipsometry Jones calculus X-ray reflectivity Scattering-matrix method Born, M.; Wolf, E., Principles of optics: electromagnetic theory...
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Sample mean and covariance (redirect from Sample covariance matrix)
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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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
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...
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{\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
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
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...
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Vitold Belevitch (section Scattering matrix)
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
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
Wishart distribution (redirect from Wishart matrix)
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
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
the scattering matrix. There are also integrability conditions that, when they are satisfied, lead to exact expressions for the entire scattering matrices...
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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
Subsurface scattering (SSS), also known as subsurface light transport (SSLT), is a mechanism of light transport in which light that penetrates the surface...
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List of named matrices (redirect from List of matrix)
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