Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Root set
|
| gptkbp:appliesTo |
Real-valued functions
Polynomials Functions Complex-valued functions |
| gptkbp:category |
gptkb:Mathematical_analysis
gptkb:Set_theory |
| gptkbp:defines |
The set of all points where a given function equals zero
|
| gptkbp:example |
The zero set of f(x) = x^2 - 1 is {-1, 1}
|
| gptkbp:field |
gptkb:Mathematics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Zero Set
|
| gptkbp:property |
The zero set of a nontrivial analytic function has no accumulation point
The zero set of a continuous function is closed The zero set of a polynomial is finite in one variable |
| gptkbp:relatedTo |
Null set
Level set Solution set |
| gptkbp:usedIn |
gptkb:Topology
gptkb:Algebraic_geometry Analysis |
| gptkbp:bfsParent |
gptkb:Dieter_Moebius
|
| gptkbp:bfsLayer |
6
|