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- Hadamard_matrix abstract "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 rows are mutually orthogonal. In geometric terms, this means that every two different rows in a Hadamard matrix represent two perpendicular vectors, while in combinatorial terms, it means that every two different rows have matching entries in exactly half of their columns and mismatched entries in the remaining columns. It is a consequence of this definition that the corresponding properties hold for columns as well as rows. The n-dimensional parallelotope spanned by the rows of an n×n Hadamard matrix has the maximum possible n-dimensional volume among parallelotopes spanned by vectors whose entries are bounded in absolute value by 1. Equivalently, a Hadamard matrix has maximal determinant among matrices with entries of absolute value less than or equal to 1 and so, is an extremal solution of Hadamard's maximal determinant problem.Certain Hadamard matrices can almost directly be used as an error-correcting code using a Hadamard code (generalized in Reed–Muller codes), and are also used in balanced repeated replication (BRR), used by statisticians to estimate the variance of a parameter estimator.".
- Hadamard_matrix wikiPageExternalLink hadamard.
- Hadamard_matrix wikiPageExternalLink search?q=Hadamard+Matrix.
- Hadamard_matrix wikiPageExternalLink SkewHad.html.
- Hadamard_matrix wikiPageExternalLink webhadamard.
- Hadamard_matrix wikiPageID "507553".
- Hadamard_matrix wikiPageRevisionID "603551313".
- Hadamard_matrix hasPhotoCollection Hadamard_matrix.
- Hadamard_matrix subject Category:Design_theory.
- Hadamard_matrix subject Category:Matrices.
- Hadamard_matrix subject Category:Unsolved_problems_in_mathematics.
- Hadamard_matrix type Abstraction100002137.
- Hadamard_matrix type Arrangement107938773.
- Hadamard_matrix type Array107939382.
- Hadamard_matrix type Attribute100024264.
- Hadamard_matrix type Condition113920835.
- Hadamard_matrix type Difficulty114408086.
- Hadamard_matrix type Group100031264.
- Hadamard_matrix type Matrices.
- Hadamard_matrix type Matrix108267640.
- Hadamard_matrix type Problem114410605.
- Hadamard_matrix type State100024720.
- Hadamard_matrix type UnsolvedProblemsInMathematics.
- Hadamard_matrix comment "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 rows are mutually orthogonal. In geometric terms, this means that every two different rows in a Hadamard matrix represent two perpendicular vectors, while in combinatorial terms, it means that every two different rows have matching entries in exactly half of their columns and mismatched entries in the remaining columns.".
- Hadamard_matrix label "Hadamard matrix".
- Hadamard_matrix label "Hadamard-Matrix".
- Hadamard_matrix label "Hadamardmatrix".
- Hadamard_matrix label "Macierz Hadamarda".
- Hadamard_matrix label "Matrice de Hadamard".
- Hadamard_matrix label "Matrice di Hadamard".
- Hadamard_matrix label "Матрица Адамара".
- Hadamard_matrix label "アダマール行列".
- Hadamard_matrix label "阿达马矩阵".
- Hadamard_matrix sameAs Hadamardova_matice.
- Hadamard_matrix sameAs Hadamard-Matrix.
- Hadamard_matrix sameAs Matrice_de_Hadamard.
- Hadamard_matrix sameAs Matrice_di_Hadamard.
- Hadamard_matrix sameAs アダマール行列.
- Hadamard_matrix sameAs 아다마르_행렬.
- Hadamard_matrix sameAs Hadamardmatrix.
- Hadamard_matrix sameAs Macierz_Hadamarda.
- Hadamard_matrix sameAs m.02jpjs.
- Hadamard_matrix sameAs Q1422682.
- Hadamard_matrix sameAs Q1422682.
- Hadamard_matrix sameAs Hadamard_matrix.
- Hadamard_matrix wasDerivedFrom Hadamard_matrix?oldid=603551313.
- Hadamard_matrix isPrimaryTopicOf Hadamard_matrix.