Triple
T32308251
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy’s mean value theorem |
E825423
|
entity |
| Predicate | auxiliaryFunctionExample |
P158815
|
FINISHED |
| Object | h(x) = (f(b)−f(a))·g(x) − (g(b)−g(a))·f(x) |
—
|
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: h(x) = (f(b)−f(a))·g(x) − (g(b)−g(a))·f(x) | Statement: [Cauchy’s mean value theorem, auxiliaryFunctionExample, h(x) = (f(b)−f(a))·g(x) − (g(b)−g(a))·f(x)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: auxiliaryFunctionExample Context triple: [Cauchy’s mean value theorem, auxiliaryFunctionExample, h(x) = (f(b)−f(a))·g(x) − (g(b)−g(a))·f(x)]
-
A.
actualFunction
Indicates that something serves as the real, operative function or role performed in practice, as opposed to a nominal or theoretical one.
-
B.
auxiliaryFeature
chosen
Indicates that one feature functions as a secondary or supporting capability to another primary feature.
-
C.
typicalFunction
Indicates that something serves as the usual or characteristic function or role of an entity.
-
D.
exercisesFunction
Indicates that one entity performs or carries out the function, role, or capability associated with another entity.
-
E.
publicFunction
Indicates that a function or method is accessible from outside its defining scope, module, or class (i.e., it has public visibility).
- 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_69f3491213b88190a57094d8697a7455 |
completed | April 30, 2026, 12:20 p.m. |
| NER | Named-entity recognition | batch_69f6bd8835588190b562ff2832f98acf |
completed | May 3, 2026, 3:14 a.m. |
| PD | Predicate disambiguation | batch_69f6b632cf788190a3d0c08cd026b84b |
completed | May 3, 2026, 2:42 a.m. |
Created at: May 1, 2026, 12:45 a.m.