Triple

T4290524
Position Surface form Disambiguated ID Type / Status
Subject Augustus De Morgan E97376 entity
Predicate notableWork P4 FINISHED
Object Trigonometry and Double Algebra
"Trigonometry and Double Algebra" is a 19th-century mathematical treatise by Augustus De Morgan that develops trigonometric theory alongside an early systematic treatment of complex numbers and symbolic algebra.
E428887 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: Trigonometry and Double Algebra | Statement: [Augustus De Morgan, notableWork, Trigonometry and Double Algebra]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Trigonometry and Double Algebra
Context triple: [Augustus De Morgan, notableWork, Trigonometry and Double Algebra]
  • A. Trigon
    Trigon is a powerful demonic supervillain in the Teen Titans universe, best known as Raven’s tyrannical father and a major cosmic threat.
  • B. Sine
    Sine was a precolonial Serer kingdom in what is now Senegal, known for its rich Serer culture, religious traditions, and resistance to Islamic and later French expansion.
  • C. Weierstrass substitution
    The Weierstrass substitution is a trigonometric substitution technique that transforms integrals involving sine and cosine into rational functions, simplifying their evaluation.
  • D. Algebra II
    "Algebra II" is the second volume of Bartel Leendert van der Waerden’s influential algebra textbook series, which helped shape modern abstract algebra through its rigorous and systematic treatment of the subject.
  • E. Angles
    The Angles were a Germanic people who migrated to Britain in the early Middle Ages and gave their name to England and the English.
  • 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: Trigonometry and Double Algebra
Triple: [Augustus De Morgan, notableWork, Trigonometry and Double Algebra]
Generated description
"Trigonometry and Double Algebra" is a 19th-century mathematical treatise by Augustus De Morgan that develops trigonometric theory alongside an early systematic treatment of complex numbers and symbolic algebra.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Trigonometry and Double Algebra
Target entity description: "Trigonometry and Double Algebra" is a 19th-century mathematical treatise by Augustus De Morgan that develops trigonometric theory alongside an early systematic treatment of complex numbers and symbolic algebra.
  • A. Trigon
    Trigon is a powerful demonic supervillain in the Teen Titans universe, best known as Raven’s tyrannical father and a major cosmic threat.
  • B. Sine
    Sine was a precolonial Serer kingdom in what is now Senegal, known for its rich Serer culture, religious traditions, and resistance to Islamic and later French expansion.
  • C. Weierstrass substitution
    The Weierstrass substitution is a trigonometric substitution technique that transforms integrals involving sine and cosine into rational functions, simplifying their evaluation.
  • D. Algebra II
    "Algebra II" is the second volume of Bartel Leendert van der Waerden’s influential algebra textbook series, which helped shape modern abstract algebra through its rigorous and systematic treatment of the subject.
  • E. Angles
    The Angles were a Germanic people who migrated to Britain in the early Middle Ages and gave their name to England and the English.
  • 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_69b3454595848190a0e6bbb6a2bea040 completed March 12, 2026, 10:59 p.m.
NER Named-entity recognition batch_69b3507efb28819091a9d5b9161a5008 completed March 12, 2026, 11:47 p.m.
NED1 Entity disambiguation (via context triple) batch_69b5c73501f4819088bf87f3c4d0f23b completed March 14, 2026, 8:38 p.m.
NEDg Description generation batch_69b5c83c4b088190864f4bd5d32b0a29 completed March 14, 2026, 8:42 p.m.
NED2 Entity disambiguation (via description) batch_69b5c8a0c0bc8190beba56664874ed9b completed March 14, 2026, 8:44 p.m.
Created at: March 12, 2026, 11:08 p.m.