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.