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Hadamard matrix

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  • Hadamard matrix — In mathematics, a Hadamard matrix is a square matrix whose entries are either +1 or −1 and whose rows are mutually orthogonal. This means that every two different rows in a Hadamard matrix represent two perpendicular vectors. Such matrices can… …   Wikipedia

  • Hadamard-Matrix — Eine Hadamard Matrix vom Grad n ist eine Matrix, die ausschließlich die Zahlen 1 und − 1 als Koeffizienten enthält und bei der zudem alle Spalten orthogonal zueinander sind, ebenso alle Zeilen. Hadamard Matrizen sind nach dem französischen… …   Deutsch Wikipedia

  • Complex Hadamard matrix — A complex Hadamard matrix is any complex matrix H satisfying two conditions: unimodularity (the modulus of each entry is unity): orthogonality: , where denotes the Hermitian transpose of H and …   Wikipedia

  • Regular Hadamard matrix — In 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 multiple of 4, regular Hadamard matrices carry the further restriction that the order… …   Wikipedia

  • Butson-type Hadamard matrix — 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 are powers of q th root of unity,:: (H {jk})^q=1 {quad m for quad} j,k=1,2,dots,N.… …   Wikipedia

  • Hadamard-Code — Matrix des [32,6,16] Hadamard Codes der NASA Raumsonde Mariner 9 (1971/1972). Die Farbe Schwarz kodiert die Binärziffer 1, und die Farbe Weiß kodiert die Binärziffer 0 …   Deutsch Wikipedia

  • Hadamard (disambiguation) — Hadamard may refer to* Jacques Hadamard * Hadamard gate * Hadamard matrix * Hadamard s inequality * Hermite–Hadamard inequality * Walsh–Hadamard transform * Fast Walsh–Hadamard transform …   Wikipedia

  • Hadamard transform — The Hadamard transform (also known as the Walsh Hadamard transform, Hadamard Rademacher Walsh transform, Walsh transform, or Walsh Fourier transform) is an example of a generalized class of Fourier transforms. It is named for the French… …   Wikipedia

  • Hadamard code — The Hadamard code, named after Jacques Hadamard, is a system used for signal error detection and correction. It is one of the family of [2 n , n + 1, 2 n − 1] codes. Especially for large n it has a poor rate but it is capable of correcting many… …   Wikipedia

  • Hadamard — Jacques Salomon Hadamard Jacques Salomon Hadamard (* 8. Dezember 1865 in Versailles; † 17. Oktober 1963 in Paris) war ein französischer Mathematiker. Inhaltsverzeichnis 1 …   Deutsch Wikipedia

  • Hadamard's inequality — In mathematics, Hadamard s inequality, named after Jacques Hadamard, bounds above the volume in Euclidean space of n dimensions marked out by n vectors: vi for 1 le; i le; n .It states, in geometric terms, that this is at a maximum when the… …   Wikipedia

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