Newton–Girard formulas

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
symmetric function identity
gptkbp:alsoKnownAs gptkb:Newton's_identities
Newton's formulas
gptkbp:expressedIn elementary symmetric polynomials in terms of power sums
power sums in terms of elementary symmetric polynomials
gptkbp:field gptkb:algebra
gptkbp:firstDescribed 17th century
gptkbp:hasApplication invariant theory
solving polynomial equations
computing roots of polynomials
https://www.w3.org/2000/01/rdf-schema#label Newton–Girard formulas
gptkbp:namedAfter gptkb:Isaac_Newton
Albert Girard
gptkbp:relatedTo gptkb:power_sum_symmetric_polynomials
gptkb:elementary_symmetric_polynomials
gptkbp:usedIn gptkb:Galois_theory
algebraic combinatorics
theory of equations
symmetric polynomials
gptkbp:bfsParent gptkb:Newton's_identities
gptkbp:bfsLayer 8