Triple
T8399563
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fresnel sine integral |
E198136
|
entity |
| Predicate | definedByIntegral |
P28827
|
FINISHED |
| Object | S(x) = ∫₀ˣ sin(π t² / 2) dt |
—
|
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: S(x) = ∫₀ˣ sin(π t² / 2) dt | Statement: [Fresnel sine integral, definedByIntegral, S(x) = ∫₀ˣ sin(π t² / 2) dt]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: definedByIntegral Context triple: [Fresnel sine integral, definedByIntegral, S(x) = ∫₀ˣ sin(π t² / 2) dt]
-
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.
isIntegralFormOf
chosen
Indicates that one entity is the integral (indefinite integral or antiderivative) form corresponding to another entity, typically a derivative or differential expression.
-
C.
isIntegralOver
Indicates that one algebraic structure (typically a ring element or extension) satisfies a monic polynomial with coefficients in another ring, expressing that it is algebraically dependent on and “integral over” that base ring.
-
D.
definedOn
Indicates that something (such as a function, rule, or structure) is specified to apply or be valid over a particular domain, set, or context.
-
E.
defined
Indicates that one entity specifies, explains, or establishes the meaning, scope, or identity of another entity.
- 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_69ca82f816bc8190ab321c07d72208c1 |
completed | March 30, 2026, 2:04 p.m. |
| NER | Named-entity recognition | batch_69cb824bfcbc8190b26bfcb5f8c4777c |
completed | March 31, 2026, 8:14 a.m. |
| PD | Predicate disambiguation | batch_69cb70d24b248190a326aa6804f942b5 |
completed | March 31, 2026, 6:59 a.m. |
Created at: March 30, 2026, 6:04 p.m.