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- Hadamard's_inequality abstract "In mathematics, Hadamard's inequality, first published by Jacques Hadamard in 1893, is a bound on the determinant of a matrix whose entries are complex numbers in terms of the lengths of its column vectors. In geometrical terms, when restricted to real numbers, it bounds the volume in Euclidean space of n dimensions marked out by n vectors vi for 1 ≤ i ≤ n in terms of the lengths of these vectors ||vi||.Specifically, Hadamard's inequality states that if N is the matrix having columns vi, thenand equality is achieved if and only if the vectors are orthogonal or at least one of the columns is 0.".
- Hadamard's_inequality wikiPageID "612000".
- Hadamard's_inequality wikiPageRevisionID "541162922".
- Hadamard's_inequality hasPhotoCollection Hadamard's_inequality.
- Hadamard's_inequality title "Hadamard's Inequality".
- Hadamard's_inequality urlname "HadamardsInequality".
- Hadamard's_inequality subject Category:Determinants.
- Hadamard's_inequality subject Category:Inequalities.
- Hadamard's_inequality type Abstraction100002137.
- Hadamard's_inequality type Attribute100024264.
- Hadamard's_inequality type Cognition100023271.
- Hadamard's_inequality type CognitiveFactor105686481.
- Hadamard's_inequality type Determinant105692419.
- Hadamard's_inequality type Determinants.
- Hadamard's_inequality type Difference104748836.
- Hadamard's_inequality type Inequalities.
- Hadamard's_inequality type Inequality104752221.
- Hadamard's_inequality type PsychologicalFeature100023100.
- Hadamard's_inequality type Quality104723816.
- Hadamard's_inequality comment "In mathematics, Hadamard's inequality, first published by Jacques Hadamard in 1893, is a bound on the determinant of a matrix whose entries are complex numbers in terms of the lengths of its column vectors.".
- Hadamard's_inequality label "Hadamard's inequality".
- Hadamard's_inequality label "Hadamard-Ungleichung".
- Hadamard's_inequality label "Ongelijkheid van Hadamard".
- Hadamard's_inequality label "Неравенство Адамара".
- Hadamard's_inequality label "阿达马不等式".
- Hadamard's_inequality sameAs Hadamardova_nerovnost.
- Hadamard's_inequality sameAs Hadamard-Ungleichung.
- Hadamard's_inequality sameAs Ongelijkheid_van_Hadamard.
- Hadamard's_inequality sameAs m.02wg7j.
- Hadamard's_inequality sameAs Q1365087.
- Hadamard's_inequality sameAs Q1365087.
- Hadamard's_inequality sameAs Hadamard's_inequality.
- Hadamard's_inequality wasDerivedFrom Hadamard's_inequality?oldid=541162922.
- Hadamard's_inequality isPrimaryTopicOf Hadamard's_inequality.