hasProbabilityDensityShape
P74406
predicate
Indicates that one entity exhibits, is characterized by, or is associated with a particular shape or form of a probability density function.
All labels observed (8)
| Label | Occurrences |
|---|---|
| probabilityDensityForm | 2 |
| densityFunction | 1 |
| eigenvalueDensity | 1 |
| hasDensityFunction | 1 |
| hasDensityShape | 1 |
| hasProbabilityDensityFunctionProperty | 1 |
| hasProbabilityDensityOnMatrices | 1 |
| hasProbabilityDensityShape canonical | 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: hasProbabilityDensityShape
Generated description
Indicates that one entity exhibits, is characterized by, or is associated with a particular shape or form of a probability density function.
Sample triples (9)
| Subject | Object |
|---|---|
| Laplace law of error | sharp peak at the mean and heavier tails than the normal distribution ⓘ |
| Gaussian orthogonal ensemble | Wigner semicircle law via predicate surface "eigenvalueDensity" NERFINISHED ⓘ |
| Gaussian orthogonal ensemble | proportional to exp of minus n over 4 times trace of H squared in standard normalization via predicate surface "probabilityDensityForm" ⓘ |
| Gaussian unitary ensemble | proportional to exp(-Tr(H^2)/2σ^2) via predicate surface "probabilityDensityForm" ⓘ |
| Gaussian symplectic ensemble | proportional to exp(- (β/2) Tr H^2 ) with β = 4 via predicate surface "hasProbabilityDensityOnMatrices" ⓘ |
| Dirichlet distribution | proportional to product of powers of components via predicate surface "hasDensityFunction" ⓘ |
| Laplace distribution | piecewise exponential around μ via predicate surface "hasProbabilityDensityFunctionProperty" ⓘ |
| Sato–Tate distribution (for families of elliptic curves) | (2/π) sin²(θ) dθ on [0, π] via predicate surface "densityFunction" ⓘ |
| Wigner semicircle law | semicircle via predicate surface "hasDensityShape" ⓘ |