Triple
T2815465
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Euler–Maclaurin summation formula |
E54271
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object |
Colin Maclaurin
Colin Maclaurin was an 18th-century Scottish mathematician known for his significant contributions to calculus and geometry, including the development of the Maclaurin series.
|
E300763
|
NE FINISHED |
How this triple was built (4 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: Colin Maclaurin | Statement: [Euler–Maclaurin summation formula, namedAfter, Colin Maclaurin]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Colin Maclaurin Context triple: [Euler–Maclaurin summation formula, namedAfter, Colin Maclaurin]
-
A.
John Napier
John Napier was a Scottish mathematician best known for inventing logarithms and popularizing the use of the decimal point in arithmetic.
-
B.
Dugald Stewart
Dugald Stewart was a prominent Scottish philosopher and mathematician known for advancing the Scottish Enlightenment through his influential work in moral philosophy and the philosophy of mind.
-
C.
William Cayley
William Cayley was a notable figure after whom Mount Cayley in British Columbia, Canada, was named, likely reflecting his prominence in regional or national history.
-
D.
John Playfair
John Playfair was an 18th–19th century Scottish mathematician, physicist, and geologist best known for popularizing James Hutton’s geological theories and for Playfair’s axiom in geometry.
-
E.
William Rowan Hamilton
William Rowan Hamilton was a 19th-century Irish mathematician and physicist best known for developing quaternions and reformulating classical mechanics in what is now called Hamiltonian mechanics.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
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: Colin Maclaurin Triple: [Euler–Maclaurin summation formula, namedAfter, Colin Maclaurin]
Generated description
Colin Maclaurin was an 18th-century Scottish mathematician known for his significant contributions to calculus and geometry, including the development of the Maclaurin series.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Colin Maclaurin Target entity description: Colin Maclaurin was an 18th-century Scottish mathematician known for his significant contributions to calculus and geometry, including the development of the Maclaurin series.
-
A.
John Napier
John Napier was a Scottish mathematician best known for inventing logarithms and popularizing the use of the decimal point in arithmetic.
-
B.
Dugald Stewart
Dugald Stewart was a prominent Scottish philosopher and mathematician known for advancing the Scottish Enlightenment through his influential work in moral philosophy and the philosophy of mind.
-
C.
William Cayley
William Cayley was a notable figure after whom Mount Cayley in British Columbia, Canada, was named, likely reflecting his prominence in regional or national history.
-
D.
John Playfair
John Playfair was an 18th–19th century Scottish mathematician, physicist, and geologist best known for popularizing James Hutton’s geological theories and for Playfair’s axiom in geometry.
-
E.
William Rowan Hamilton
William Rowan Hamilton was a 19th-century Irish mathematician and physicist best known for developing quaternions and reformulating classical mechanics in what is now called Hamiltonian mechanics.
- F. None of above. chosen
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_69ab49de0af08190b3da69683be1e728 |
completed | March 6, 2026, 9:40 p.m. |
| NER | Named-entity recognition | batch_69abde4d29488190a32461906dd9ea7e |
completed | March 7, 2026, 8:14 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69afce9f964081909e422aaf1f026dbb |
completed | March 10, 2026, 7:56 a.m. |
| NEDg | Description generation | batch_69afcf12e3a0819098f28d31434a0c5f |
completed | March 10, 2026, 7:58 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69afcf9c2d308190b111aa8038c9227a |
completed | March 10, 2026, 8 a.m. |
Created at: March 6, 2026, 9:59 p.m.