Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
continuous functions
|
| gptkbp:category |
theorems in calculus
|
| gptkbp:field |
mathematical analysis
|
| gptkbp:firstPublished |
19th century
|
| https://www.w3.org/2000/01/rdf-schema#label |
Intermediate Value Theorem
|
| gptkbp:implies |
existence of roots
|
| gptkbp:namedAfter |
intermediate value
|
| gptkbp:relatedTo |
gptkb:Bolzano's_theorem
continuity zero of a function |
| gptkbp:sentence |
If a function f is continuous on [a, b] and d is between f(a) and f(b), then there exists c in [a, b] such that f(c) = d.
|
| gptkbp:usedIn |
calculus
real analysis |
| gptkbp:bfsParent |
gptkb:Bolzano's_theorem
|
| gptkbp:bfsLayer |
6
|