mathematical physics, the gamma matrices,   { γ 0 , γ 1 , γ 2 , γ 3 }   , {\displaystyle \ \left\{\gamma ^{0},\gamma ^{1},\gamma ^{2},\gamma ^{3}\right\}\ ,} also...

mathematical physics, higher-dimensional gamma matrices generalize to arbitrary dimension the four-dimensional Gamma matrices of Dirac, which are a mainstay of...

In mathematical physics and mathematics, the Pauli matrices are a set of three 2 × 2 complex matrices that are traceless, Hermitian, involutory and unitary...

The Gell-Mann matrices, developed by Murray Gell-Mann, are a set of eight linearly independent 3×3 traceless Hermitian matrices used in the study of the...

article. Rotation matrices are square matrices, with real entries. More specifically, they can be characterized as orthogonal matrices with determinant 1;...

matrix gamma distribution and the Wishart distribution are multivariate generalizations of the gamma distribution (samples are positive-definite matrices rather...

of matrices, which are related to Spin (physics). Pauli matrices, also called the "Pauli spin matrices". Generalizations of Pauli matrices Gamma matrices...

written as ln(x) or loge(x). In mathematics, the gamma function (represented by Γ, the capital letter gamma from the Greek alphabet) is one commonly used...

{\stackrel {\mathrm {def} }{=}}\ \gamma ^{0}A_{0}+\gamma ^{1}A_{1}+\gamma ^{2}A_{2}+\gamma ^{3}A_{3}} where γ are the gamma matrices. Using the Einstein summation...

{\displaystyle 2\times 3} . Matrices are commonly related to linear algebra. Notable exceptions include incidence matrices and adjacency matrices in graph theory...

by gamma matrices, matrices that satisfy a set of canonical anti-commutation relations. The spinors are the column vectors on which these matrices act...

positive-definite random matrices (i.e. matrix-valued random variables). These distributions are of great importance in the estimation of covariance matrices in multivariate...

4-gradient. In practice one often writes the gamma matrices in terms of 2 × 2 sub-matrices taken from the Pauli matrices and the 2 × 2 identity matrix. Explicitly...

Let γμ denote a set of four 4-dimensional gamma matrices, here called the Dirac matrices. The Dirac matrices satisfy where { , } is the anticommutator...

gamma-Hydroxybutyric acid (GHB) (or γ-hydroxybutyric acid), also known as 4-hydroxybutanoic acid is a naturally occurring neurotransmitter and a depressant...

mathematically as problems concerning large, random matrices. In nuclear physics, random matrices were introduced by Eugene Wigner to model the nuclei...

the gamma matrices, which represent the generators of the algebra. The gamma matrices are a set of four 4 × 4 {\displaystyle 4\times 4} matrices { γ μ...

applied repeatedly and leads to the following sequence of matrices, also called Walsh matrices. H 1 = [ 1 ] , H 2 = [ 1 1 1 − 1 ] , H 4 = [ 1 1 1 1 1 −...

article lists some important classes of matrices used in mathematics, science and engineering. A matrix (plural matrices, or less commonly matrixes) is a rectangular...

‖ U A V ‖ {\displaystyle \|A\|=\|UAV\|} for all matrices A {\displaystyle A} and all unitary matrices U {\displaystyle U} and V {\displaystyle V} . The...

vectors as matrices with a single column rather than as matrices with a single row. For that reason, the word "eigenvector" in the context of matrices almost...

all skew-symmetric matrices of a fixed size forms a vector space. The space of n × n {\textstyle n\times n} skew-symmetric matrices has dimension 1 2 n...

In statistics, a matrix gamma distribution is a generalization of the gamma distribution to positive-definite matrices. It is effectively a different parametrization...

physics, 4×4 complex matrices or 8×8 real matrices are needed. Weyl–Brauer matrices Higher-dimensional gamma matrices Clifford module bundle Atiyah, Michael;...

k}J_{(k)}M_{h,k}^{T}\\\Gamma _{(h)}&=M_{h,k}\Gamma _{(k)}M_{h,k}^{T}\\\Phi _{(h)}&=M_{h,k}\Phi _{(k)}M_{h,k}^{T}\end{aligned}}} The matrices described allow...

numerical mathematics, hierarchical matrices (H-matrices) are used as data-sparse approximations of non-sparse matrices. While a sparse matrix of dimension...

result indicates a non-negotiable result. Gamma World's first two editions had a variety of specialized matrices for different situations (again, closely...

\operatorname {PSL} (2,\mathbb {Z} )} of 2 × 2 matrices with integer coefficients and determinant 1. The matrices A and −A are identified. The modular group...

compartmented information Gamma matrices, in mathematical physics The Gamma People, a 1956 British-American film Gama (disambiguation) Gamma ray (disambiguation)...

{I} \end{bmatrix}}} These two 4×4 matrices are related to the Dirac gamma matrices. Note that 0 and I are 2×2 matrices here. The next step is to look for...