fundamental theorem of algebra
GPTKB entity
Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alternativeName |
gptkb:d'Alembert–Gauss_theorem
|
| gptkbp:appliesTo |
polynomials
|
| gptkbp:field |
gptkb:algebra
complex analysis |
| gptkbp:firstProofYear |
1799
|
| gptkbp:hasProofsOf |
gptkb:algebra
gptkb:topology gptkb:Galois_theory complex analysis real analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
fundamental theorem of algebra
|
| gptkbp:implies |
the field of complex numbers is algebraically closed
|
| gptkbp:namedAfter |
gptkb:Carl_Friedrich_Gauss
gptkb:Jean_le_Rond_d'Alembert |
| gptkbp:provenBy |
gptkb:Carl_Friedrich_Gauss
|
| gptkbp:relatedTo |
field theory
complex numbers real numbers algebraic closure roots of polynomials |
| gptkbp:state |
every non-constant single-variable polynomial with complex coefficients has at least one complex root
|
| gptkbp:bfsParent |
gptkb:Johann_Carl_Friedrich_Gauß
gptkb:Johann_Carl_Friedrich_Gauss gptkb:Carl_Friedrich_Gauß |
| gptkbp:bfsLayer |
5
|