Triple
T19050706
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirichlet kernel |
E466248
|
entity |
| Predicate | integralValue |
P103046
|
FINISHED |
| Object | ∫_{-π}^{π} D_n(x) dx = 2π |
—
|
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: ∫_{-π}^{π} D_n(x) dx = 2π | Statement: [Dirichlet kernel, integralValue, ∫_{-π}^{π} D_n(x) dx = 2π]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: integralValue
Context triple: [Dirichlet kernel, integralValue, ∫_{-π}^{π} D_n(x) dx = 2π]
-
A.
integralTo
Indicates that one entity is an essential, non-removable component or part of another entity, such that the whole depends on it to function or be complete.
-
B.
integralVersionUsedIn
Indicates that a specific integral version (e.g., of a component, document, or artifact) is utilized within or by another entity or process.
-
C.
valueOfI
Indicates that one entity represents or corresponds to the specific value assigned to the variable or quantity denoted by "I".
-
D.
integratedOver
chosen
Indicates that a quantity or function has been mathematically integrated with respect to a specified variable or domain over a given interval or region.
-
E.
integrandFeature
Indicates that a specific mathematical feature or property is part of, or characterizes, the integrand in an integration expression or operation.
- 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_69d8dd040fb881909af2a964f65ad208 |
completed | April 10, 2026, 11:20 a.m. |
| NER | Named-entity recognition | batch_69e5dc02597c8190b39fd2c7b7e42258 |
completed | April 20, 2026, 7:55 a.m. |
| PD | Predicate disambiguation | batch_69e4b99633c8819097988608c278ecf8 |
completed | April 19, 2026, 11:16 a.m. |
Created at: April 10, 2026, 12:03 p.m.