isUniqueUpToScaling
P102508
predicate
Indicates that one object is determined uniquely except for multiplication by a nonzero scalar factor.
All labels observed (3)
| Label | Occurrences |
|---|---|
| isUniqueUpToScaleAs | 1 |
| isUniqueUpToScaling canonical | 1 |
| matrixEquivalenceRelation | 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: isUniqueUpToScaling
Generated description
Indicates that one object is determined uniquely except for multiplication by a nonzero scalar factor.
Sample triples (3)
| Subject | Object |
|---|---|
| Lebesgue measure | among translation-invariant sigma-finite measures on R^n ⓘ |
| Fubini–Study form | U(n+1)-invariant Kähler form on CP^n via predicate surface "isUniqueUpToScaleAs" ⓘ |
|
Möbius transformations
surface form:
Möbius transformation
|
scalar multiples represent same transformation via predicate surface "matrixEquivalenceRelation" ⓘ |