dimensionDependentProperties
P24321
predicate
Indicates that certain properties or characteristics of an entity vary as a function of its dimensional attributes (such as size, length, or number of dimensions).
All labels observed (5)
| Label | Occurrences |
|---|---|
| dimensionDependentProperties canonical | 3 |
| dimensionDependent | 2 |
| dimensionProperty | 2 |
| phaseTransitionDimension | 2 |
| dimensionDependence | 1 |
Sample triples (10)
| Subject | Object |
|---|---|
| Riemann curvature tensor | simplifies in 2-dimensional manifolds ⓘ |
| Riemann curvature tensor | in 2D determined by a single scalar function ⓘ |
| Riemann curvature tensor | in constant curvature spaces has special algebraic form ⓘ |
|
Ising models
surface form:
Ising model
|
two dimensions via predicate surface "phaseTransitionDimension" ⓘ |
|
Ising models
surface form:
Ising model
|
three dimensions via predicate surface "phaseTransitionDimension" ⓘ |
| Whitney stratification | dimensions of strata strictly decrease along the frontier via predicate surface "dimensionProperty" ⓘ |
| Cartan subalgebras | dimension equals rank of the Lie algebra for semisimple Lie algebras via predicate surface "dimensionProperty" ⓘ |
| Levi-Civita symbol | true via predicate surface "dimensionDependent" ⓘ |
| Helly’s theorem | yes via predicate surface "dimensionDependent" ⓘ |
| Sobolev inequality | constants depend on the space dimension n via predicate surface "dimensionDependence" ⓘ |