hasEigenvalues
P128956
predicate
Indicates that a linear operator or matrix possesses one or more eigenvalues associated with its action on a vector space.
All labels observed (5)
| Label | Occurrences |
|---|---|
| eigenvaluesInclude | 4 |
| hasEigenvalues canonical | 4 |
| eigenvalueProblem | 2 |
| eigenvaluesOf | 1 |
| hasEigenvalue | 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: hasEigenvalues
Generated description
Indicates that a linear operator or matrix possesses one or more eigenvalues associated with its action on a vector space.
Sample triples (12)
| Subject | Object |
|---|---|
| Gaussian symplectic ensemble | real ⓘ |
| Dirac Hamiltonian | positive energy spectrum via predicate surface "eigenvaluesInclude" ⓘ |
| Dirac Hamiltonian | negative energy spectrum via predicate surface "eigenvaluesInclude" ⓘ |
| graph Laplacian | 0 via predicate surface "hasEigenvalue" ⓘ |
| four-momentum operator | energy via predicate surface "eigenvaluesInclude" ⓘ |
| four-momentum operator | three-momentum via predicate surface "eigenvaluesInclude" ⓘ |
|
T:z ↦ z+1
surface form:
T : z ↦ z + 1
|
1,1 as matrix in SL(2,ℤ) ⓘ |
| Arnold cat map | (3+√5)/2 ⓘ |
| Arnold cat map | (3-√5)/2 ⓘ |
| Steklov eigenvalue problem | Dirichlet-to-Neumann operator via predicate surface "eigenvaluesOf" NERFINISHED ⓘ |
| Steklov operator | Steklov spectrum via predicate surface "eigenvalueProblem" NERFINISHED ⓘ |
| Steklov operator | Steklov eigenfunctions via predicate surface "eigenvalueProblem" NERFINISHED ⓘ |