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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 each pair of rows in a Hadamard matrix represents two perpendicular vectors, while in combinatorial terms, it means that each pair of rows has 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 slice-of-history-hadamard-matrix.
- Hadamard_matrix wikiPageExternalLink SkewHad.html.
- Hadamard_matrix wikiPageExternalLink WebHadamard.
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- Hadamard_matrix wikiPageWikiLink Absolute_value.
- Hadamard_matrix wikiPageWikiLink Balanced_repeated_replication.
- Hadamard_matrix wikiPageWikiLink Butson-type_Hadamard_matrices.
- Hadamard_matrix wikiPageWikiLink Butson-type_Hadamard_matrix.
- Hadamard_matrix wikiPageWikiLink Category:Design_theory.
- Hadamard_matrix wikiPageWikiLink Category:Matrices.
- Hadamard_matrix wikiPageWikiLink Category:Unsolved_problems_in_mathematics.
- Hadamard_matrix wikiPageWikiLink Circulant.
- Hadamard_matrix wikiPageWikiLink Circulant_matrix.
- Hadamard_matrix wikiPageWikiLink Coded_aperture.
- Hadamard_matrix wikiPageWikiLink Combinatorial_design.
- Hadamard_matrix wikiPageWikiLink Combinatorics.
- Hadamard_matrix wikiPageWikiLink Complex_Hadamard_matrix.
- Hadamard_matrix wikiPageWikiLink Compressed_Sensing.
- Hadamard_matrix wikiPageWikiLink Compressed_sensing.
- Hadamard_matrix wikiPageWikiLink Congruence_relation.
- Hadamard_matrix wikiPageWikiLink Conjugate_transpose.
- Hadamard_matrix wikiPageWikiLink Determinant.
- Hadamard_matrix wikiPageWikiLink Equivalence_relation.
- Hadamard_matrix wikiPageWikiLink Error-correcting_code.
- Hadamard_matrix wikiPageWikiLink Error_Correcting_Code.
- Hadamard_matrix wikiPageWikiLink Estimation_theory.
- Hadamard_matrix wikiPageWikiLink Estimator.
- Hadamard_matrix wikiPageWikiLink Finite_field.
- Hadamard_matrix wikiPageWikiLink Forward_error_correction.
- Hadamard_matrix wikiPageWikiLink Group_homomorphism.
- Hadamard_matrix wikiPageWikiLink Hadamard_code.
- Hadamard_matrix wikiPageWikiLink Hadamard_transform.
- Hadamard_matrix wikiPageWikiLink Hadamards_inequality.
- Hadamard_matrix wikiPageWikiLink Hadamards_maximal_determinant_problem.
- Hadamard_matrix wikiPageWikiLink Identity_matrix.
- Hadamard_matrix wikiPageWikiLink JPL.
- Hadamard_matrix wikiPageWikiLink Jacques_Hadamard.
- Hadamard_matrix wikiPageWikiLink James_Joseph_Sylvester.
- Hadamard_matrix wikiPageWikiLink Jet_Propulsion_Laboratory.
- Hadamard_matrix wikiPageWikiLink John_Williamson_(mathematician).
- Hadamard_matrix wikiPageWikiLink Kronecker_product.
- Hadamard_matrix wikiPageWikiLink Leonard_Baumert.
- Hadamard_matrix wikiPageWikiLink Linear_code.
- Hadamard_matrix wikiPageWikiLink Marshall_Hall_(mathematician).
- Hadamard_matrix wikiPageWikiLink Mathematician.
- Hadamard_matrix wikiPageWikiLink Mathematics.
- Hadamard_matrix wikiPageWikiLink N._J._A._Sloane.
- Hadamard_matrix wikiPageWikiLink Neil_Sloane.
- Hadamard_matrix wikiPageWikiLink OEIS.
- Hadamard_matrix wikiPageWikiLink Olivia_MFSK.
- Hadamard_matrix wikiPageWikiLink On-Line_Encyclopedia_of_Integer_Sequences.
- Hadamard_matrix wikiPageWikiLink Operator_algebra.
- Hadamard_matrix wikiPageWikiLink Operator_algebras.
- Hadamard_matrix wikiPageWikiLink Orthogonal.
- Hadamard_matrix wikiPageWikiLink Orthogonal_matrix.
- Hadamard_matrix wikiPageWikiLink Orthogonality.
- Hadamard_matrix wikiPageWikiLink Paley_construction.
- Hadamard_matrix wikiPageWikiLink Parallelepiped.
- Hadamard_matrix wikiPageWikiLink Parameter.
- Hadamard_matrix wikiPageWikiLink Perpendicular.
- Hadamard_matrix wikiPageWikiLink Plackett–Burman_design.
- Hadamard_matrix wikiPageWikiLink Positive_number.
- Hadamard_matrix wikiPageWikiLink Prime_number.
- Hadamard_matrix wikiPageWikiLink Quantum_computation.
- Hadamard_matrix wikiPageWikiLink Quantum_computing.
- Hadamard_matrix wikiPageWikiLink Quincunx_matrix.
- Hadamard_matrix wikiPageWikiLink Raymond_Paley.
- Hadamard_matrix wikiPageWikiLink Reed–Muller_code.
- Hadamard_matrix wikiPageWikiLink Regular_Hadamard_matrices.
- Hadamard_matrix wikiPageWikiLink Regular_Hadamard_matrix.
- Hadamard_matrix wikiPageWikiLink Robust_parameter_design.
- Hadamard_matrix wikiPageWikiLink Robust_parameter_design_(RPD).
- Hadamard_matrix wikiPageWikiLink Root_of_unity.
- Hadamard_matrix wikiPageWikiLink Roots_of_unity.
- Hadamard_matrix wikiPageWikiLink Sign_(mathematics).
- Hadamard_matrix wikiPageWikiLink Solomon_W._Golomb.
- Hadamard_matrix wikiPageWikiLink Square_matrix.
- Hadamard_matrix wikiPageWikiLink Statistical_estimator.
- Hadamard_matrix wikiPageWikiLink Statistician.
- Hadamard_matrix wikiPageWikiLink Symmetric_matrix.
- Hadamard_matrix wikiPageWikiLink Tournament_(graph_theory).
- Hadamard_matrix wikiPageWikiLink Trace_(linear_algebra).
- Hadamard_matrix wikiPageWikiLink Transpose.
- Hadamard_matrix wikiPageWikiLink Variance.
- Hadamard_matrix wikiPageWikiLink Vector_space.
- Hadamard_matrix wikiPageWikiLink Volume.
- Hadamard_matrix wikiPageWikiLink Walsh_code.
- Hadamard_matrix wikiPageWikiLink Walsh_function.
- Hadamard_matrix wikiPageWikiLink Walsh_matrix.
- Hadamard_matrix wikiPageWikiLink Weighing_matrix.
- Hadamard_matrix wikiPageWikiLinkText "Hadamard matrices and Hadamard designs".
- Hadamard_matrix wikiPageWikiLinkText "Hadamard matrices".
- Hadamard_matrix wikiPageWikiLinkText "Hadamard matrix".
- Hadamard_matrix wikiPageWikiLinkText "Hadamard matrix#Hadamard conjecture".