dimensionFormula
P70388
predicate
Indicates a mathematical or logical expression that defines how a particular dimension (such as size, measure, or extent) is derived or calculated from other quantities.
All labels observed (6)
| Label | Occurrences |
|---|---|
| dimensionFormula canonical | 4 |
| hasDimensionFormula | 3 |
| dimensionRule | 1 |
| hasDimensionalFormula | 1 |
| hasRepresentationDimensionFormula | 1 |
| lengthScaleFormula | 1 |
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: dimensionFormula
Generated description
Indicates a mathematical or logical expression that defines how a particular dimension (such as size, measure, or extent) is derived or calculated from other quantities.
Sample triples (11)
| Subject | Object |
|---|---|
| AdS isometry group SO(2,d) | (d+2)(d+1)/2 ⓘ |
|
oersted (unit)
surface form:
oersted
|
[I][L]⁻¹ via predicate surface "hasDimensionFormula" ⓘ |
|
rotation group SU(2)
surface form:
SU(2)
|
2j+1 via predicate surface "hasRepresentationDimensionFormula" ⓘ |
| Sylvester matrix | for degrees m and n the Sylvester matrix is of size (m+n)×(m+n) via predicate surface "dimensionRule" ⓘ |
| maxwell | M^1 L^2 T^-2 I^-1 via predicate surface "hasDimensionFormula" ⓘ |
| Planck density | M L^−3 via predicate surface "hasDimensionalFormula" ⓘ |
| Siegel upper half-space | g(g+1)/2 as a complex manifold ⓘ |
| Time | T via predicate surface "hasDimensionFormula" ⓘ |
| Kolmogorov microscales | η = (ν³/ε)^(1/4) via predicate surface "lengthScaleFormula" ⓘ |
| Temperley–Lieb algebra | Catalan number C_n ⓘ |
| Grassmann manifolds | k(n − k) ⓘ |