Triple
T7871827
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Jacobi polynomials |
E182753
|
entity |
| Predicate | arePolynomialsIn |
P79477
|
FINISHED |
| Object | x with real coefficients for real α,β |
—
|
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: x with real coefficients for real α,β | Statement: [Jacobi polynomials, arePolynomialsIn, x with real coefficients for real α,β]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: arePolynomialsIn Context triple: [Jacobi polynomials, arePolynomialsIn, x with real coefficients for real α,β]
-
A.
hasAssociatedPolynomial
Indicates that one entity is linked to another entity that serves as its associated polynomial, typically representing or characterizing some of its properties or behavior.
-
B.
hasCharacteristicPolynomial
Indicates that one mathematical object (typically a matrix or linear operator) is associated with a specific characteristic polynomial that encodes its eigenvalue-related properties.
-
C.
isIntegralFormOf
Indicates that one entity is the integral (indefinite integral or antiderivative) form corresponding to another entity, typically a derivative or differential expression.
-
D.
isAlgebraicOver
Indicates that one mathematical object satisfies a nontrivial polynomial equation whose coefficients lie in the other object (typically a field or ring), expressing algebraic dependence over that base.
-
E.
isAlgebraicNumber
Indicates that a given number is a root of some non-zero polynomial equation with rational (or equivalently, integer) coefficients.
- 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_69ca82894d9081908a832bfce71a4714 |
completed | March 30, 2026, 2:02 p.m. |
| NER | Named-entity recognition | batch_69cb39a5950481908399211c5dfe2569 |
completed | March 31, 2026, 3:04 a.m. |
| PD | Predicate disambiguation | batch_69cae928e1b88190b0620f4c4f03bc7d |
completed | March 30, 2026, 9:20 p.m. |
| PDg | Predicate description generation | batch_69caf786ec748190b6347b0c94335550 |
completed | March 30, 2026, 10:21 p.m. |
Created at: March 30, 2026, 4:56 p.m.