Triple
T27675166
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Sturm–Liouville problem |
E697758
|
entity |
| Predicate | hasSpecialCase |
P7025
|
FINISHED |
| Object |
Bessel differential equation
The Bessel differential equation is a second-order linear ordinary differential equation whose solutions, the Bessel functions, arise frequently in problems with cylindrical or spherical symmetry in mathematical physics and engineering.
|
E554675
|
NE 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: Bessel differential equation | Statement: [Sturm–Liouville problem, hasSpecialCase, Bessel differential equation]
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Bessel differential equation Triple: [Sturm–Liouville problem, hasSpecialCase, Bessel differential equation]
Generated description
The Bessel differential equation is a second-order linear ordinary differential equation whose solutions, the Bessel functions, arise frequently in problems with cylindrical or spherical symmetry in mathematical physics and engineering.
Provenance (5 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. |
| NED1 | Entity disambiguation (via context triple) | batch_6a12daaa22c48190b3f05cc780d85fcf |
completed | May 24, 2026, 11:02 a.m. |
| NEDg | Description generation | batch_6a12db425798819097c2f19d2aa6baaa |
completed | May 24, 2026, 11:04 a.m. |
| NED2 | Entity disambiguation (via description) | batch_6a12dbac16bc8190aa2c654274fbcb3b |
completed | May 24, 2026, 11:06 a.m. |
Created at: April 27, 2026, 2:43 p.m.