Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Schwarz's_theorem
|
| gptkbp:appliesTo |
functions of two or more variables
|
| gptkbp:condition |
mixed partial derivatives must be continuous
|
| gptkbp:field |
gptkb:mathematics
calculus multivariable calculus |
| https://www.w3.org/2000/01/rdf-schema#label |
Clairaut's theorem
|
| gptkbp:implies |
order of differentiation does not matter for continuous mixed partials
|
| gptkbp:namedAfter |
gptkb:Alexis_Clairaut
|
| gptkbp:publishedIn |
18th century
|
| 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 |
gptkb:theoretical_physics
partial differential equations optimization |
| gptkbp:bfsParent |
gptkb:Darwin–Radau_equation
|
| gptkbp:bfsLayer |
5
|