Triple
T27675246
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Chebyshev polynomials of the first kind |
E697760
|
entity |
| Predicate | T_0(x) |
P162938
|
FINISHED |
| Object | 1 |
—
|
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: 1 | Statement: [Chebyshev polynomials of the first kind, T_0(x), 1]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: T_0(x) Context triple: [Chebyshev polynomials of the first kind, T_0(x), 1]
-
A.
derivativeAtZero
Indicates that one quantity is the derivative (rate of change) of another quantity evaluated specifically at the point where the input equals zero.
-
B.
baseOfExponentialTerm
Indicates that one quantity serves as the base in an exponential expression or term involving another quantity as the exponent.
-
C.
initialValueTheorem
Indicates the relationship in which the initial value of a function (typically at time zero) is determined from its Laplace transform using the initial value theorem.
-
D.
isT0
Indicates that two entities are identical or represent the same object, state, or value at time point T0.
-
E.
ctangleFunction
Indicates a relationship where a function is implemented or documented using the CWEB/ctangle literate programming system, linking the function to its ctangle-based source.
- 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.