Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
n-dimensional cube
|
| gptkbp:describes |
existence of zeros of continuous functions
|
| gptkbp:field |
gptkb:mathematics
gptkb:topology analysis |
| gptkbp:firstPublished |
1934
|
| gptkbp:generalizes |
gptkb:Intermediate_value_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Poincaré–Miranda theorem
|
| gptkbp:namedAfter |
gptkb:Henri_Poincaré
gptkb:Carlo_Miranda |
| gptkbp:relatedTo |
gptkb:Brouwer_fixed-point_theorem
|
| gptkbp:sentence |
If a continuous function from the n-dimensional cube to R^n satisfies certain sign conditions on the faces, then it has a zero in the cube.
|
| gptkbp:usedIn |
mathematical proofs
nonlinear analysis |
| gptkbp:bfsParent |
gptkb:Henri_Poincaré
|
| gptkbp:bfsLayer |
5
|