Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
continuous functions
n-dimensional rectangles |
| gptkbp:field |
gptkb:analysis
gptkb:mathematics multivariable calculus |
| gptkbp:implies |
existence of solutions to certain systems of equations
|
| gptkbp:namedAfter |
gptkb:Carlo_Miranda
|
| gptkbp:publicationYear |
1940
|
| gptkbp:publishedIn |
gptkb:Annali_della_Scuola_Normale_Superiore_di_Pisa
|
| gptkbp:relatedTo |
gptkb:Brouwer_fixed-point_theorem
|
| gptkbp:sentence |
A continuous function from an n-dimensional rectangle to R^n that satisfies certain boundary conditions has a zero.
|
| gptkbp:usedIn |
nonlinear analysis
existence proofs |
| gptkbp:bfsParent |
gptkb:Carlo_Miranda
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Miranda's existence theorem
|