Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Clairaut's_theorem
|
| gptkbp:appliesTo |
functions of several variables
|
| gptkbp:category |
theorems in calculus
|
| gptkbp:field |
mathematical analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Schwarz's theorem
|
| gptkbp:namedAfter |
gptkb:Hermann_Schwarz
|
| gptkbp:relatedTo |
differentiability
partial derivatives symmetry of second derivatives |
| gptkbp:state |
if the mixed partial derivatives of a function are continuous at a point, then the mixed partial derivatives are equal at that point
|
| gptkbp:usedIn |
engineering
partial differential equations physics multivariable calculus |
| gptkbp:yearProposed |
19th century
|
| gptkbp:bfsParent |
gptkb:Clairaut's_theorem
|
| gptkbp:bfsLayer |
6
|