hasVariance
P27172
predicate
Indicates that there is a measurable degree of variability or dispersion in the values or outcomes associated with the related entities.
All labels observed (10)
| Label | Occurrences |
|---|---|
| hasVelocityDispersion | 11 |
| variance | 9 |
| hasVariance canonical | 5 |
| hasVerticalVelocityDispersion | 2 |
| diagonalEntryVariance | 1 |
| entryVariance | 1 |
| hasInterarrivalTimesVariance | 1 |
| matrixEntryVariance | 1 |
| varianceExistsCondition | 1 |
| varianceProperty | 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: hasVariance
Generated description
Indicates that there is a measurable degree of variability or dispersion in the values or outcomes associated with the related entities.
Sample triples (33)
| Subject | Object |
|---|---|
|
Gaussian distribution
surface form:
standard normal distribution
|
1 ⓘ |
| Virgo Cluster | about 700–800 km/s via predicate surface "hasVelocityDispersion" ⓘ |
| Galactic thin disk | lower than thick disk via predicate surface "hasVelocityDispersion" ⓘ |
| Galactic thin disk | about 20 km/s to 30 km/s via predicate surface "hasVerticalVelocityDispersion" ⓘ |
| Centaurus Cluster | on the order of several hundred km/s via predicate surface "hasVelocityDispersion" ⓘ |
| Laplace law of error | 2b^2 via predicate surface "variance" ⓘ |
| F-distribution | 2 d2^2 (d1 + d2 - 2) / (d1 (d2 - 2)^2 (d2 - 4)) for d2 > 4 via predicate surface "variance" ⓘ |
| Cauchy distribution | undefined ⓘ |
| Pareto distribution | Var(X) = α x_m^2 / ((α - 1)^2 (α - 2)) for α > 2 via predicate surface "variance" ⓘ |
| REINFORCE | high variance gradient estimates via predicate surface "varianceProperty" ⓘ |
| Gaussian orthogonal ensemble | depends on normalization convention via predicate surface "matrixEntryVariance" ⓘ |
| Gaussian orthogonal ensemble | twice off-diagonal variance in standard normalization via predicate surface "diagonalEntryVariance" ⓘ |
|
Poisson distribution has P(s) = e^{-s}
surface form:
Poisson distribution with P(s) = e^{-s}
|
1 ⓘ |
| Abell 3526 | about 800–900 km/s via predicate surface "hasVelocityDispersion" ⓘ |
| Hydra Cluster | on the order of several hundred km/s via predicate surface "hasVelocityDispersion" ⓘ |
| Abell 3627 | on the order of 900–1000 km/s via predicate surface "hasVelocityDispersion" ⓘ |
| Abell 426 | ~1300 km/s via predicate surface "hasVelocityDispersion" ⓘ |
| Abell 262 | relatively low velocity dispersion via predicate surface "hasVelocityDispersion" ⓘ |
| Abell 347 | on the order of several hundred km/s via predicate surface "hasVelocityDispersion" ⓘ |
| Poisson process | 1/λ² via predicate surface "hasInterarrivalTimesVariance" ⓘ |
| Galactic thick disk | larger than thin disk via predicate surface "hasVelocityDispersion" ⓘ |
| Galactic thick disk | about 40–60 km/s via predicate surface "hasVerticalVelocityDispersion" ⓘ |
| Coma Cluster | about 1000 km/s via predicate surface "hasVelocityDispersion" ⓘ |
| Bernoulli distribution | p(1-p) via predicate surface "variance" ⓘ |
| chi-square distribution | 2k (degrees of freedom) via predicate surface "variance" ⓘ |
| Student’s t-distribution | ν/(ν-2) for degrees of freedom greater than 2 via predicate surface "variance" ⓘ |
| Student’s t-distribution | infinite for 1<ν≤2 via predicate surface "variance" ⓘ |
| Student’s t-distribution | undefined for ν≤1 via predicate surface "variance" ⓘ |
| Laplace distribution | 2 b^2 via predicate surface "variance" ⓘ |
| double exponential distribution | 2 b^2 ⓘ |
| Lévy alpha-stable distribution | variance exists only if α = 2 via predicate surface "varianceExistsCondition" ⓘ |
| Tracy–Widom distribution | approximately 1.607781034581 for type II ⓘ |
| Ginibre ensemble | 1 via predicate surface "entryVariance" ⓘ |