spectralTheory
P69698
predicate
Indicates the relationship between an operator (or matrix) and the structure of its spectrum—its eigenvalues, eigenvectors, and related spectral properties—typically within a functional-analytic or linear-algebraic context.
All labels observed (2)
| Label | Occurrences |
|---|---|
| eigenvalues | 5 |
| spectralTheory 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: spectralTheory
Generated description
Indicates the relationship between an operator (or matrix) and the structure of its spectrum—its eigenvalues, eigenvectors, and related spectral properties—typically within a functional-analytic or linear-algebraic context.
Sample triples (6)
| Subject | Object |
|---|---|
| Laplace operator | eigenvalues form the Laplacian spectrum ⓘ |
| Weingarten map | principal curvatures via predicate surface "eigenvalues" ⓘ |
| Pauli matrices | +1 via predicate surface "eigenvalues" ⓘ |
| Pauli matrices | -1 via predicate surface "eigenvalues" ⓘ |
| shape operator | principal curvatures of the surface via predicate surface "eigenvalues" ⓘ |
| Ginibre ensemble | generally complex via predicate surface "eigenvalues" ⓘ |