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- Newtons_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.".
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- Newtons_identities wikiPageExternalLink Newton-GirardFormulas.html.
- Newtons_identities wikiPageExternalLink lecture-05.pdf.
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- Newtons_identities wikiPageRevisionID "707751354".
- Newtons_identities wikiPageWikiLink Albert_Girard.
- Newtons_identities wikiPageWikiLink Category:Algebraic_combinatorics.
- Newtons_identities wikiPageWikiLink Category:Galois_theory.
- Newtons_identities wikiPageWikiLink Category:Group_theory.
- Newtons_identities wikiPageWikiLink Category:Invariant_theory.
- Newtons_identities wikiPageWikiLink Category:Linear_algebra.
- Newtons_identities wikiPageWikiLink Category:Mathematical_identities.
- Newtons_identities wikiPageWikiLink Category:Symmetric_functions.
- Newtons_identities wikiPageWikiLink Cayley–Hamilton_theorem.
- Newtons_identities wikiPageWikiLink Characteristic_polynomial.
- Newtons_identities wikiPageWikiLink Coefficient.
- Newtons_identities wikiPageWikiLink Combinatorics.
- Newtons_identities wikiPageWikiLink Companion_matrix.
- Newtons_identities wikiPageWikiLink Complete_homogeneous_symmetric_polynomial.
- Newtons_identities wikiPageWikiLink Cramers_rule.
- Newtons_identities wikiPageWikiLink Cycle_index.
- Newtons_identities wikiPageWikiLink David_A._Cox.
- Newtons_identities wikiPageWikiLink David_Eppstein.
- Newtons_identities wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Newtons_identities wikiPageWikiLink Einstein_tensor.
- Newtons_identities wikiPageWikiLink Elementary_symmetric_polynomial.
- Newtons_identities wikiPageWikiLink Exact_solutions_in_general_relativity.
- Newtons_identities wikiPageWikiLink Exponentiation.
- Newtons_identities wikiPageWikiLink Faddeev–LeVerrier_algorithm.
- Newtons_identities wikiPageWikiLink Field_of_fractions.
- Newtons_identities wikiPageWikiLink Fluid_solution.
- Newtons_identities wikiPageWikiLink Formal_derivative.
- Newtons_identities wikiPageWikiLink Formal_power_series.
- Newtons_identities wikiPageWikiLink Galois_theory.
- Newtons_identities wikiPageWikiLink General_relativity.
- Newtons_identities wikiPageWikiLink Group_theory.
- Newtons_identities wikiPageWikiLink Immanant_of_a_matrix.
- Newtons_identities wikiPageWikiLink Invariant_theory.
- Newtons_identities wikiPageWikiLink Isaac_Newton.
- Newtons_identities wikiPageWikiLink Mathematics.
- Newtons_identities wikiPageWikiLink Matrix_(mathematics).
- Newtons_identities wikiPageWikiLink Michael_T._Goodrich.
- Newtons_identities wikiPageWikiLink Monomial.
- Newtons_identities wikiPageWikiLink NC_(complexity).
- Newtons_identities wikiPageWikiLink Perfect_fluid.
- Newtons_identities wikiPageWikiLink Permanent.
- Newtons_identities wikiPageWikiLink Polynomial.
- Newtons_identities wikiPageWikiLink Polynomial_ring.
- Newtons_identities wikiPageWikiLink Power_sum_symmetric_polynomial.
- Newtons_identities wikiPageWikiLink Rational_function.
- Newtons_identities wikiPageWikiLink Ring_of_symmetric_functions.
- Newtons_identities wikiPageWikiLink SWAT_and_WADS_conferences.
- Newtons_identities wikiPageWikiLink Schur_polynomial.
- Newtons_identities wikiPageWikiLink Symmetric_function.
- Newtons_identities wikiPageWikiLink Symmetric_group.
- Newtons_identities wikiPageWikiLink Symmetric_polynomial.
- Newtons_identities wikiPageWikiLink Trace_(linear_algebra).
- Newtons_identities wikiPageWikiLink Zero_of_a_function.
- Newtons_identities wikiPageWikiLinkText "Newton's identities".
- Newtons_identities wikiPageWikiLinkText "Newton's identity".
- Newtons_identities wikiPageWikiLinkText "a proof of Newton's identities".
- Newtons_identities wikiPageUsesTemplate Template:Arxiv.
- Newtons_identities wikiPageUsesTemplate Template:Brackets.
- Newtons_identities wikiPageUsesTemplate Template:Cite_book.
- Newtons_identities wikiPageUsesTemplate Template:Cite_conference.
- Newtons_identities wikiPageUsesTemplate Template:Cite_journal.
- Newtons_identities wikiPageUsesTemplate Template:Isaac_Newton.
- Newtons_identities wikiPageUsesTemplate Template:Reflist.
- Newtons_identities subject Category:Algebraic_combinatorics.
- Newtons_identities subject Category:Galois_theory.
- Newtons_identities subject Category:Group_theory.
- Newtons_identities subject Category:Invariant_theory.
- Newtons_identities subject Category:Linear_algebra.
- Newtons_identities subject Category:Mathematical_identities.
- Newtons_identities subject Category:Symmetric_functions.
- Newtons_identities type Combinatoric.
- Newtons_identities type Function.
- Newtons_identities type Polynomial.
- Newtons_identities type Theorem.
- Newtons_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.".
- Newtons_identities label "Newton's identities".
- Newtons_identities sameAs Q1749812.
- Newtons_identities sameAs متطابقات_نيوتن.
- Newtons_identities sameAs Newton-Identitäten.
- Newtons_identities sameAs Identidades_de_Newton.
- Newtons_identities sameAs Identités_de_Newton.
- Newtons_identities sameAs Identità_di_Newton.
- Newtons_identities sameAs Identidades_de_Newton.
- Newtons_identities sameAs m.07g6rh.
- Newtons_identities sameAs Тождества_Ньютона.
- Newtons_identities sameAs Тотожності_Ньютона.
- Newtons_identities sameAs Q1749812.
- Newtons_identities wasDerivedFrom Newtons_identities?oldid=707751354.
- Newtons_identities isPrimaryTopicOf Newtons_identities.