Triple
T27675252
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Chebyshev polynomials of the first kind |
E697760
|
entity |
| Predicate | leadingCoefficientOfT_n |
P29146
|
FINISHED |
| Object | 2^{n-1} for n ≥ 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: 2^{n-1} for n ≥ 1 | Statement: [Chebyshev polynomials of the first kind, leadingCoefficientOfT_n, 2^{n-1} for n ≥ 1]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: leadingCoefficientOfT_n
Context triple: [Chebyshev polynomials of the first kind, leadingCoefficientOfT_n, 2^{n-1} for n ≥ 1]
-
A.
givesLeadingTerm
Indicates that one entity provides or specifies the leading term (typically the highest-order or most significant term) of another entity, such as a polynomial or expression.
-
B.
coefficientProperty
chosen
Indicates a relationship where one entity serves as a coefficient or scalar factor that quantitatively modifies or characterizes another entity or property.
-
C.
firstCoefficientProperty
Indicates a property or characteristic specifically associated with the first coefficient in a mathematical or algebraic expression.
-
D.
coefficientsIn
Indicates that one entity appears as a coefficient within the mathematical expression or representation of another entity.
-
E.
T_0(x)
Indicates that entity x possesses or is characterized by the property or state denoted by T_0.
- F. None of above.
Provenance (3 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_69f6359e3d3c81909814e2f0a7fb0ea9 |
completed | May 2, 2026, 5:34 p.m. |
| PD | Predicate disambiguation | batch_69f631871c888190bf29466fe4254e51 |
completed | May 2, 2026, 5:16 p.m. |
Created at: April 27, 2026, 2:43 p.m.