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- Rearrangement_inequality abstract "In mathematics, the rearrangement inequality states thatfor every choice of real numbersand every permutationof x1, . . ., xn. If the numbers are different, meaning thatthen the lower bound is attained only for the permutation which reverses the order, i.e. σ(i) = n − i + 1 for all i = 1, ..., n, and the upper bound is attained only for the identity, i.e. σ(i) = i for all i = 1, ..., n.Note that the rearrangement inequality makes no assumptions on the signs of the real numbers.".
- Rearrangement_inequality wikiPageID "937598".
- Rearrangement_inequality wikiPageRevisionID "595994201".
- Rearrangement_inequality hasPhotoCollection Rearrangement_inequality.
- Rearrangement_inequality subject Category:Articles_containing_proofs.
- Rearrangement_inequality subject Category:Inequalities.
- Rearrangement_inequality type Abstraction100002137.
- Rearrangement_inequality type Attribute100024264.
- Rearrangement_inequality type Difference104748836.
- Rearrangement_inequality type Inequalities.
- Rearrangement_inequality type Inequality104752221.
- Rearrangement_inequality type Quality104723816.
- Rearrangement_inequality comment "In mathematics, the rearrangement inequality states thatfor every choice of real numbersand every permutationof x1, . . ., xn. If the numbers are different, meaning thatthen the lower bound is attained only for the permutation which reverses the order, i.e. σ(i) = n − i + 1 for all i = 1, ..., n, and the upper bound is attained only for the identity, i.e. σ(i) = i for all i = 1, ..., n.Note that the rearrangement inequality makes no assumptions on the signs of the real numbers.".
- Rearrangement_inequality label "Desigualdade do rearranjo".
- Rearrangement_inequality label "Disuguaglianza di riarrangiamento".
- Rearrangement_inequality label "Inégalité de réarrangement".
- Rearrangement_inequality label "Nierówność o ciągach jednomonotonicznych".
- Rearrangement_inequality label "Rearrangement inequality".
- Rearrangement_inequality label "Umordnungs-Ungleichung".
- Rearrangement_inequality label "Перестановочное неравенство".
- Rearrangement_inequality label "排序不等式".
- Rearrangement_inequality sameAs Permutační_nerovnost.
- Rearrangement_inequality sameAs Umordnungs-Ungleichung.
- Rearrangement_inequality sameAs Inégalité_de_réarrangement.
- Rearrangement_inequality sameAs Disuguaglianza_di_riarrangiamento.
- Rearrangement_inequality sameAs 재배열_부등식.
- Rearrangement_inequality sameAs Nierówność_o_ciągach_jednomonotonicznych.
- Rearrangement_inequality sameAs Desigualdade_do_rearranjo.
- Rearrangement_inequality sameAs m.03rp26.
- Rearrangement_inequality sameAs Q1149189.
- Rearrangement_inequality sameAs Q1149189.
- Rearrangement_inequality sameAs Rearrangement_inequality.
- Rearrangement_inequality wasDerivedFrom Rearrangement_inequality?oldid=595994201.
- Rearrangement_inequality isPrimaryTopicOf Rearrangement_inequality.