Khovanskii's theorem

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs fewnomial theorem
gptkbp:appliesTo systems of polynomial equations
fewnomials
gptkbp:field gptkb:algebraic_geometry
real algebraic geometry
https://www.w3.org/2000/01/rdf-schema#label Khovanskii's theorem
gptkbp:influenced gptkb:tropical_geometry
real algebraic geometry
gptkbp:namedAfter gptkb:Askold_Khovanskii
gptkbp:publishedIn gptkb:Izvestiya_Akademii_Nauk_SSSR._Seriya_Matematicheskaya
gptkbp:result gives an explicit upper bound on the number of positive real solutions in terms of the number of monomials and variables
gptkbp:state the number of non-degenerate positive solutions to a system of polynomial equations with a fixed number of monomials is bounded
gptkbp:yearProposed 1980
gptkbp:bfsParent gptkb:Askold_Khovanskii
gptkbp:bfsLayer 7