Sturm's theorem

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo univariate polynomials with real coefficients
gptkbp:describes number of distinct real roots of a polynomial
gptkbp:field gptkb:algebra
gptkb:mathematics
real analysis
gptkbp:hasApplication control theory
computer algebra systems
symbolic computation
https://www.w3.org/2000/01/rdf-schema#label Sturm's theorem
gptkbp:namedAfter gptkb:Jacques_Charles_François_Sturm
gptkbp:publishedIn 1835
gptkbp:relatedTo real closed fields
algebraic equations
Descartes' rule of signs
polynomial root-finding
gptkbp:usedFor counting real roots in an interval
gptkbp:uses Sturm sequence
gptkbp:bfsParent gptkb:Sturm
gptkbp:bfsLayer 5