In mathematics, a signature matrix is a diagonal matrix whose diagonal elements are plus or minus 1, that is, any matrix of the form: A = ( ± 1 0 ⋯ 0 0...
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3 × 3 identity matrix (which is trivially involutory); R is the 3 × 3 identity matrix with a pair of interchanged rows; S is a signature matrix. Any block-diagonal...
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the mirroring reciprocally. The signature of the n × n identity matrix is (n, 0, 0). The signature of a diagonal matrix is the number of positive, negative...
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Sylvester's law of inertia (redirect from Signature (matrix))
Sylvester's law of inertia is a theorem in matrix algebra about certain properties of the coefficient matrix of a real quadratic form that remain invariant...
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Autopen (redirect from Signature machine)
witnesses.[citation needed] Early autopens used a plastic matrix of the original signature, which is a channel cut into an engraved plate in the shape...
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The Matrix is a 1999 science fiction action film written and directed by the Wachowskis. It is the first installment in the Matrix film series, starring...
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factorisation of a number Signature (matrix), the difference of the positive and negative eigenvalues of a matrix Metric signature of the metric tensor on...
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Matrix (sometimes stylized as [matrix]) is an open standard[citation needed] and communication protocol for real-time communication. It aims to make real-time...
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List of named matrices (redirect from List of matrix)
matrices used in mathematics, science and engineering. A matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers called entries...
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In linear algebra, an orthogonal matrix, or orthonormal matrix, is a real square matrix whose columns and rows are orthonormal vectors. One way to express...
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{\displaystyle \Sigma } -method to analyze a DAE. We construct for the DAE a signature matrix Σ = ( σ i , j ) {\displaystyle \Sigma =(\sigma _{i,j})} , where each...
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In linear algebra, a nilpotent matrix is a square matrix N such that N k = 0 {\displaystyle N^{k}=0\,} for some positive integer k {\displaystyle k} ...
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Determinant (redirect from Matrix determinant)
square matrix. The determinant of a matrix A is commonly denoted det(A), det A, or |A|. Its value characterizes some properties of the matrix and the...
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Dot matrix printing, sometimes called impact matrix printing, is a computer printing process in which ink is applied to a surface using a relatively low-resolution...
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Quadratic form (redirect from Signature (quadratic form))
representing matrix in K / (K×)2 (up to non-zero squares) can also be defined, and for a real quadratic form is a cruder invariant than signature, taking values...
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identity matrix. It is a quick check that a square matrix D whose elements are all zero off the main diagonal and ±1 on the diagonal, that is, a signature matrix...
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Clifford module (redirect from Matrix Representations of Real Clifford algebras)
three Pauli matrices and a fourth antihermitian matrix. The signature is (+++−). For the signatures (+−−−) and (−−−+) often used in physics, 4×4 complex...
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Gamma matrices (redirect from Gamma matrix)
the gamma group, that is shared by all matrix representations of the group, in any dimension, for any signature of the metric. For example, the 2×2 Pauli...
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type of symbol used in magic. The term usually refers to a pictorial signature of a spirit (such as an angel, demon, or deity). In modern usage, especially...
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However, multivariate signature schemes like Rainbow could provide the basis for a quantum secure digital signature. The Rainbow Signature Scheme is patented...
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Seifert surface (redirect from Seifert matrix)
is an invariant of the knot or link. The signature of a knot is the signature of the symmetric Seifert matrix V + V T . {\displaystyle V+V^{\mathrm {T}...
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on the ground and Ciara, standing over him, turns and performs her signature "Matrix" over him as he guides her body toward his with his right hand. The...
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as a 2g-by-2g Seifert matrix V, V i j = ϕ ( b i , b j ) {\displaystyle V_{ij}=\phi (b_{i},b_{j})} . The signature of the matrix V + V t {\displaystyle...
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Non-negative matrix factorization (NMF or NNMF), also non-negative matrix approximation is a group of algorithms in multivariate analysis and linear algebra...
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Permanent (mathematics) (redirect from Permanent of a matrix)
the determinant of A in that the signatures of the permutations are not taken into account. The permanent of a matrix A is denoted per A, perm A, or Per...
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Metric tensor (section Signature of a metric)
metric has signature (p, n − p) if the matrix gij of the metric has p positive and n − p negative eigenvalues. Certain metric signatures which arise...
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initials or signature of the disc cutting engineer, and cutting or copyright dates, among other things. Matrix and catalog numbers The matrix number printed...
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Niederreiter cryptosystem (category Digital signature schemes)
matrix, H, for the code, G. Alice selects a random (n − k) × (n − k) binary non-singular matrix, S. Alice selects a random n × n permutation matrix,...
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Split-octonion (redirect from Zorn's vector-matrix algebra)
signatures of their quadratic forms differ: the split-octonions have a split signature (4,4) whereas the octonions have a positive-definite signature...
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Minkowski space (redirect from Minkowski signature)
is represented by a matrix that acts on the four-vector, changing its components. This matrix can be thought of as a rotation matrix in four-dimensional...
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