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.