Triple
T4585421
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | William Rowan Hamilton |
E101954
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Elements of Quaternions
Elements of Quaternions is a foundational 19th-century mathematical treatise by William Rowan Hamilton that systematically develops the theory and applications of quaternions.
|
E455350
|
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: Elements of Quaternions | Statement: [William Rowan Hamilton, notableWork, Elements of Quaternions]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Elements of Quaternions Context triple: [William Rowan Hamilton, notableWork, Elements of Quaternions]
-
A.
Lectures on Quaternions
Lectures on Quaternions is a foundational 19th-century mathematical treatise in which William Rowan Hamilton systematically develops and expounds his theory of quaternions.
-
B.
The Classical Groups: Their Invariants and Representations
The Classical Groups: Their Invariants and Representations is a foundational mathematical monograph by Hermann Weyl that systematically develops the theory of classical Lie groups, their invariants, and their representation theory.
-
C.
Neue Geometrie des Raumes
Neue Geometrie des Raumes is a foundational 19th-century mathematical work by Julius Plücker that develops projective and line geometry in three-dimensional space.
-
D.
Über die Bildung des Formensystems der ternären biquadratischen Form
"Über die Bildung des Formensystems der ternären biquadratischen Form" is the 1907 doctoral dissertation of mathematician Emmy Noether, in which she investigates the invariant theory of certain higher-degree algebraic forms.
-
E.
Treatise on Demonstration of Problems of Algebra
Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
- 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: Elements of Quaternions Triple: [William Rowan Hamilton, notableWork, Elements of Quaternions]
Generated description
Elements of Quaternions is a foundational 19th-century mathematical treatise by William Rowan Hamilton that systematically develops the theory and applications of quaternions.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Elements of Quaternions Target entity description: Elements of Quaternions is a foundational 19th-century mathematical treatise by William Rowan Hamilton that systematically develops the theory and applications of quaternions.
-
A.
Lectures on Quaternions
chosen
Lectures on Quaternions is a foundational 19th-century mathematical treatise in which William Rowan Hamilton systematically develops and expounds his theory of quaternions.
-
B.
The Classical Groups: Their Invariants and Representations
The Classical Groups: Their Invariants and Representations is a foundational mathematical monograph by Hermann Weyl that systematically develops the theory of classical Lie groups, their invariants, and their representation theory.
-
C.
Neue Geometrie des Raumes
Neue Geometrie des Raumes is a foundational 19th-century mathematical work by Julius Plücker that develops projective and line geometry in three-dimensional space.
-
D.
Über die Bildung des Formensystems der ternären biquadratischen Form
"Über die Bildung des Formensystems der ternären biquadratischen Form" is the 1907 doctoral dissertation of mathematician Emmy Noether, in which she investigates the invariant theory of certain higher-degree algebraic forms.
-
E.
Treatise on Demonstration of Problems of Algebra
Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
- F. None of above.
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_69bd43d4ce208190b53158c882b222e3 |
completed | March 20, 2026, 12:55 p.m. |
| NER | Named-entity recognition | batch_69bd59056bb48190ba1e0b5beda9bdc4 |
completed | March 20, 2026, 2:26 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69bdfa33103081909e83155f712b821f |
completed | March 21, 2026, 1:53 a.m. |
| NEDg | Description generation | batch_69bdfc87fd3881909f072cd85d6b58c2 |
completed | March 21, 2026, 2:03 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69bdfcfb3de08190b9345e36c5c0c01c |
completed | March 21, 2026, 2:05 a.m. |
Created at: March 20, 2026, 1:10 p.m.