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

Description generation (PDg)

The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.

Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning.  
# Instructions
Focus on describing the relationship, not the entities themselves. 
# Response Format
Begin the description with \' Indicates...\'
Input
Predicate: dimensionDependentProperties
Generated description
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).

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"