Triple
T13035698
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Monge–Ampère equation |
E326554
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object |
Abreu equation
The Abreu equation is a fourth-order nonlinear partial differential equation arising in Kähler and toric geometry, particularly in the study of extremal and constant scalar curvature Kähler metrics.
|
E1017919
|
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: Abreu equation | Statement: [Monge–Ampère equation, relatedTo, Abreu equation]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Abreu equation Context triple: [Monge–Ampère equation, relatedTo, Abreu equation]
-
A.
Bhabha–Corben equations
The Bhabha–Corben equations are relativistic wave equations in quantum electrodynamics that describe the dynamics of spinning charged particles, developed by physicists Homi J. Bhabha and H. C. Corben.
-
B.
Charney equation
The Charney equation is a fundamental quasi-geostrophic equation in atmospheric dynamics that describes large-scale Rossby waves and mid-latitude weather patterns on a rotating planet.
-
C.
Carothers equation
The Carothers equation is a fundamental relation in polymer chemistry that links the average degree of polymerization to the extent of reaction in step-growth polymerizations.
-
D.
Karplus equation
The Karplus equation is an empirical relationship in nuclear magnetic resonance (NMR) spectroscopy that correlates three-bond scalar coupling constants with dihedral angles, enabling the determination of molecular conformations.
-
E.
Goodman–Martínez–Thompson correlation
The Goodman–Martínez–Thompson correlation is the most widely accepted scholarly conversion formula that aligns dates in the ancient Maya Long Count calendar with the Gregorian calendar.
- 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: Abreu equation Triple: [Monge–Ampère equation, relatedTo, Abreu equation]
Generated description
The Abreu equation is a fourth-order nonlinear partial differential equation arising in Kähler and toric geometry, particularly in the study of extremal and constant scalar curvature Kähler metrics.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Abreu equation Target entity description: The Abreu equation is a fourth-order nonlinear partial differential equation arising in Kähler and toric geometry, particularly in the study of extremal and constant scalar curvature Kähler metrics.
-
A.
Bhabha–Corben equations
The Bhabha–Corben equations are relativistic wave equations in quantum electrodynamics that describe the dynamics of spinning charged particles, developed by physicists Homi J. Bhabha and H. C. Corben.
-
B.
Charney equation
The Charney equation is a fundamental quasi-geostrophic equation in atmospheric dynamics that describes large-scale Rossby waves and mid-latitude weather patterns on a rotating planet.
-
C.
Carothers equation
The Carothers equation is a fundamental relation in polymer chemistry that links the average degree of polymerization to the extent of reaction in step-growth polymerizations.
-
D.
Karplus equation
The Karplus equation is an empirical relationship in nuclear magnetic resonance (NMR) spectroscopy that correlates three-bond scalar coupling constants with dihedral angles, enabling the determination of molecular conformations.
-
E.
Goodman–Martínez–Thompson correlation
The Goodman–Martínez–Thompson correlation is the most widely accepted scholarly conversion formula that aligns dates in the ancient Maya Long Count calendar with the Gregorian calendar.
- 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_69d8076cc45c81908123123f43e69266 |
completed | April 9, 2026, 8:09 p.m. |
| NER | Named-entity recognition | batch_69d97effca908190ab89fdb034e02680 |
completed | April 10, 2026, 10:51 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f6cbcf11f88190ab1746f973132af1 |
completed | May 3, 2026, 4:15 a.m. |
| NEDg | Description generation | batch_69f6cee0a27081909203e3331186b4ca |
completed | May 3, 2026, 4:28 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69f6cf987f68819084edcd6613832fe8 |
completed | May 3, 2026, 4:31 a.m. |
Created at: April 9, 2026, 8:55 p.m.