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
linked to: 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" ⓘ
linked to: Steklov operator
Steklov operator Steklov spectrum via predicate surface "eigenvalueProblem" ⓘ
Steklov operator Steklov eigenfunctions via predicate surface "eigenvalueProblem" ⓘ