Triple
T27675171
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Sturm–Liouville problem |
E697758
|
entity |
| Predicate | hasEigenvalueEquation |
P162936
|
FINISHED |
| Object | L[y] = λ w(x) y(x) |
—
|
LITERAL FINISHED |
How this triple was built (2 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: L[y] = λ w(x) y(x) | Statement: [Sturm–Liouville problem, hasEigenvalueEquation, L[y] = λ w(x) y(x)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasEigenvalueEquation Context triple: [Sturm–Liouville problem, hasEigenvalueEquation, L[y] = λ w(x) y(x)]
-
A.
hasEigenvalues
Indicates that a linear operator or matrix possesses one or more eigenvalues associated with its action on a vector space.
-
B.
areEigenfunctionsOf
Indicates that certain functions serve as eigenfunctions corresponding to a specified operator or transformation.
-
C.
isEigenstateOf
Indicates that a quantum state is an eigenstate of a given operator, meaning the operator acting on that state yields the same state scaled by a definite eigenvalue.
-
D.
hasEffectiveEigenstate
Indicates that an entity is associated with, or behaves as if it possesses, a particular eigenstate that effectively characterizes its observable properties or dynamics in a given context.
-
E.
eigenvalueDependsOn
Indicates that the value of an eigenvalue is determined by or varies as a function of another specified quantity or parameter.
- F. None of above. chosen
Provenance (4 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69ef590d458c81909583290c3cd0478b |
completed | April 27, 2026, 12:39 p.m. |
| NER | Named-entity recognition | batch_69f63532e35881909bfe0a8a315e2efe |
completed | May 2, 2026, 5:32 p.m. |
| PD | Predicate disambiguation | batch_69f62c1a92648190835a2c5250d8c758 |
completed | May 2, 2026, 4:53 p.m. |
| PDg | Predicate description generation | batch_69f6305219f08190b55f6193a4a49984 |
completed | May 2, 2026, 5:11 p.m. |
Created at: April 27, 2026, 2:43 p.m.