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- Newton's_identities abstract "In mathematics, Newton's identities, also known as the Newton–Girard formulae, give relations between two types of symmetric polynomials, namely between power sums and elementary symmetric polynomials. Evaluated at the roots of a monic polynomial P in one variable, they allow expressing the sums of the k-th powers of all roots of P (counted with their multiplicity) in terms of the coefficients of P, without actually finding those roots. These identities were found by Isaac Newton around 1666, apparently in ignorance of earlier work (1629) by Albert Girard. They have applications in many areas of mathematics, including Galois theory, invariant theory, group theory, combinatorics, as well as further applications outside mathematics, including general relativity.".
- Newton's_identities wikiPageExternalLink sici?sici=0025-570X(200010)73%3A4%3C313%3AAMPONI%3E2.0.CO%3B2-0.
- Newton's_identities wikiPageExternalLink Newton-GirardFormulas.html.
- Newton's_identities wikiPageExternalLink lecture-05.pdf.
- Newton's_identities wikiPageID "2468892".
- Newton's_identities wikiPageRevisionID "605688988".
- Newton's_identities hasPhotoCollection Newton's_identities.
- Newton's_identities subject Category:Algebraic_combinatorics.
- Newton's_identities subject Category:Galois_theory.
- Newton's_identities subject Category:Group_theory.
- Newton's_identities subject Category:Invariant_theory.
- Newton's_identities subject Category:Linear_algebra.
- Newton's_identities subject Category:Mathematical_identities.
- Newton's_identities subject Category:Symmetric_functions.
- Newton's_identities type Abstraction100002137.
- Newton's_identities type Attribute100024264.
- Newton's_identities type Function113783816.
- Newton's_identities type Identity104618070.
- Newton's_identities type MathematicalIdentities.
- Newton's_identities type MathematicalRelation113783581.
- Newton's_identities type Personality104617562.
- Newton's_identities type Relation100031921.
- Newton's_identities type SymmetricFunctions.
- Newton's_identities comment "In mathematics, Newton's identities, also known as the Newton–Girard formulae, give relations between two types of symmetric polynomials, namely between power sums and elementary symmetric polynomials. Evaluated at the roots of a monic polynomial P in one variable, they allow expressing the sums of the k-th powers of all roots of P (counted with their multiplicity) in terms of the coefficients of P, without actually finding those roots.".
- Newton's_identities label "Identidades de Newton".
- Newton's_identities label "Identidades de Newton".
- Newton's_identities label "Identità di Newton".
- Newton's_identities label "Identités de Newton".
- Newton's_identities label "Newton's identities".
- Newton's_identities label "Newton-Identitäten".
- Newton's_identities label "Тождества Ньютона".
- Newton's_identities label "متطابقات نيوتن".
- Newton's_identities sameAs Newton-Identitäten.
- Newton's_identities sameAs Identidades_de_Newton.
- Newton's_identities sameAs Identités_de_Newton.
- Newton's_identities sameAs Identità_di_Newton.
- Newton's_identities sameAs Identidades_de_Newton.
- Newton's_identities sameAs m.07g6rh.
- Newton's_identities sameAs Q1749812.
- Newton's_identities sameAs Q1749812.
- Newton's_identities sameAs Newton's_identities.
- Newton's_identities wasDerivedFrom Newton's_identities?oldid=605688988.
- Newton's_identities isPrimaryTopicOf Newton's_identities.