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

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