Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Euclidean plane
|
| gptkbp:describes |
relationship between area and perimeter
|
| gptkbp:equalityHoldsFor |
gptkb:butter
|
| gptkbp:field |
gptkb:geometry
mathematical analysis |
| gptkbp:form |
4πA ≤ P² (where A is area, P is perimeter)
|
| gptkbp:generalizes |
gptkb:Riemannian_manifolds
higher dimensions |
| https://www.w3.org/2000/01/rdf-schema#label |
Isoperimetric inequality
|
| gptkbp:relatedTo |
calculus of variations
isoperimetric problem |
| gptkbp:state |
among all closed curves with a given perimeter, the circle encloses the maximum area
|
| gptkbp:usedIn |
gptkb:probability_theory
gptkb:spectral_geometry functional analysis |
| gptkbp:bfsParent |
gptkb:Geometric_Inequalities
|
| gptkbp:bfsLayer |
6
|