In mathematics, a Hadamard matrix, named after the French mathematician Jacques Hadamard, is a square matrix whose entries are either +1 or −1 and whose... 25 KB (3,080 words) - 15:42, 19 April 2024 |
the sum of the entries of the Hadamard product Hadamard product of two matrices of the same size, resulting in a matrix of the same size, which is the... 40 KB (6,456 words) - 13:03, 8 May 2024 |
2m × 2m matrix, the Hadamard matrix (scaled by a normalization factor), that transforms 2m real numbers xn into 2m real numbers Xk. The Hadamard transform... 32 KB (4,687 words) - 14:52, 7 April 2024 |
of Hadamard matrices where the rows are rearranged so that the number of sign changes in a row is in increasing order. In short, a Hadamard matrix is... 7 KB (1,151 words) - 13:06, 19 December 2023 |
A complex Hadamard matrix is any complex N × N {\displaystyle N\times N} matrix H {\displaystyle H} satisfying two conditions: unimodularity (the modulus... 5 KB (838 words) - 23:24, 13 December 2023 |
Hadamard's maximal determinant problem, named after Jacques Hadamard, asks for the largest determinant of a matrix with elements equal to 1 or −1. The... 17 KB (2,428 words) - 04:21, 4 September 2023 |
opposite of irregular matrix, a matrix with a different number of entries in each row Regular Hadamard matrix, a Hadamard matrix whose row and column sums... 701 bytes (116 words) - 22:22, 10 January 2023 |
Paley construction (redirect from Jacobsthal matrix) is a Hadamard matrix of size 2(q + 1). It is a symmetric Hadamard matrix. Applying Paley Construction I to the Jacobsthal matrix for GF(7), one... 8 KB (1,380 words) - 20:11, 13 December 2023 |
lengths of these vectors ||vi ||. Specifically, Hadamard's inequality states that if N is the matrix having columns vi, then | det ( N ) | ≤ ∏ i = 1 n... 6 KB (851 words) - 09:34, 9 April 2024 |
\circ } represents the Hadamard product and 1 {\displaystyle \mathbf {1} } is a constant vector with elements 1. The inverse matrix-to-vector diag {\displaystyle... 17 KB (2,466 words) - 02:48, 13 May 2024 |
Quantum logic gate (redirect from Hadamard operation) Bloch sphere, and is therefore involutory. It is represented by the Hadamard matrix: H = 1 2 [ 1 1 1 − 1 ] . {\displaystyle H={\frac {1}{\sqrt... 74 KB (10,122 words) - 09:19, 12 May 2024 |
mathematics a regular Hadamard matrix is a Hadamard matrix whose row and column sums are all equal. While the order of a Hadamard matrix must be 1, 2, or a... 3 KB (373 words) - 23:12, 13 December 2023 |
matrix, from the usual O ( N 2 ) {\displaystyle O(N^{2})} . Similar techniques can be applied for multiplications by matrices such as Hadamard matrix... 10 KB (2,089 words) - 13:08, 15 February 2024 |
{\displaystyle Trs} matrix using Hadamard product, (denoted by ∘ {\displaystyle \circ } ) of Tr matrix and n-dimensional Hadamard matrix whose rows (except... 7 KB (1,658 words) - 15:07, 29 April 2023 |
Block design (section Hadamard 2-designs) the m × m identity matrix. An Hadamard matrix can be put into standardized form (that is, converted to an equivalent Hadamard matrix) where the first row... 41 KB (5,579 words) - 04:56, 13 May 2024 |
multiplication also exist, such as the Hadamard product and the Kronecker product. They arise in solving matrix equations such as the Sylvester equation... 106 KB (13,106 words) - 15:41, 8 May 2024 |
The pseudo-Hadamard transform is a reversible transformation of a bit string that provides cryptographic diffusion. See Hadamard transform. The bit string... 2 KB (399 words) - 00:16, 30 June 2023 |
respect to this basis can be represented by the columns of a complex Hadamard matrix multiplied by a normalization factor. For d = 3 these matrices would... 27 KB (4,233 words) - 20:03, 6 May 2024 |
In mathematics, a complex Hadamard matrix H of size N with all its columns (rows) mutually orthogonal, belongs to the Butson-type H(q, N) if all its elements... 3 KB (603 words) - 18:50, 15 December 2023 |
integrand with the help of the Hadamard lemma one can obtain the following useful expression for the derivative of the matrix exponent, ( d d t e X ( t )... 55 KB (10,407 words) - 09:28, 13 November 2023 |
In mathematics, the Hadamard product may refer to: Hadamard product of two matrices, the matrix such that each entry is the product of the corresponding... 601 bytes (103 words) - 08:34, 7 November 2023 |
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... 31 KB (1,336 words) - 00:12, 30 November 2023 |
existence of (0,1)-matrices with given row and column sums Hadamard matrix, a square matrix of 1 and –1 coefficients with each pair of rows having matching... 3 KB (318 words) - 17:29, 11 August 2023 |
Orthogonal array (section Hadamard matrices) 2) if and only if there exists a Hadamard matrix of order 4λ. To proceed in one direction, let H be a Hadamard matrix of order 4m in standardized form... 27 KB (3,395 words) - 18:39, 6 October 2023 |
the m × m identity matrix. An Hadamard matrix can be put into standardized form (that is, converted to an equivalent Hadamard matrix) where the first row... 33 KB (4,362 words) - 01:19, 31 March 2024 |
Hadamard may refer to: Zélie Hadamard (1849–1901), French actress Jacques Hadamard (1865–1963), a French mathematician, whose name is associated with the... 2 KB (298 words) - 11:54, 27 September 2023 |