Triple
T11812504
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Elwin Bruno Christoffel |
E280907
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Schwarz–Christoffel mapping
The Schwarz–Christoffel mapping is a conformal transformation that maps the upper half-plane (or unit disk) onto polygonal regions, playing a central role in complex analysis and applications such as fluid dynamics and electrostatics.
|
E947534
|
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: Schwarz–Christoffel mapping | Statement: [Elwin Bruno Christoffel, notableWork, Schwarz–Christoffel mapping]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Schwarz–Christoffel mapping Context triple: [Elwin Bruno Christoffel, notableWork, Schwarz–Christoffel mapping]
-
A.
Conformal Invariants
Conformal Invariants is a foundational mathematical work by Lars Ahlfors that systematically develops the theory of quantities preserved under conformal mappings in complex analysis and geometric function theory.
-
B.
Riemann mapping theorem
The Riemann mapping theorem is a fundamental result in complex analysis stating that any non-empty simply connected open subset of the complex plane (other than the whole plane) can be conformally mapped onto the open unit disk.
-
C.
Lectures on Quasiconformal Mappings
Lectures on Quasiconformal Mappings is a classic mathematical monograph by Lars Ahlfors that systematically develops the theory of quasiconformal mappings in the complex plane and higher dimensions.
-
D.
Möbius transformations
Möbius transformations are conformal automorphisms of the extended complex plane represented by fractional linear functions that map circles and lines to circles and lines.
-
E.
Bochner–Martinelli formula
The Bochner–Martinelli formula is a fundamental integral representation in several complex variables that generalizes the Cauchy integral formula to higher dimensions.
- 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: Schwarz–Christoffel mapping Triple: [Elwin Bruno Christoffel, notableWork, Schwarz–Christoffel mapping]
Generated description
The Schwarz–Christoffel mapping is a conformal transformation that maps the upper half-plane (or unit disk) onto polygonal regions, playing a central role in complex analysis and applications such as fluid dynamics and electrostatics.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Schwarz–Christoffel mapping Target entity description: The Schwarz–Christoffel mapping is a conformal transformation that maps the upper half-plane (or unit disk) onto polygonal regions, playing a central role in complex analysis and applications such as fluid dynamics and electrostatics.
-
A.
Conformal Invariants
Conformal Invariants is a foundational mathematical work by Lars Ahlfors that systematically develops the theory of quantities preserved under conformal mappings in complex analysis and geometric function theory.
-
B.
Riemann mapping theorem
The Riemann mapping theorem is a fundamental result in complex analysis stating that any non-empty simply connected open subset of the complex plane (other than the whole plane) can be conformally mapped onto the open unit disk.
-
C.
Lectures on Quasiconformal Mappings
Lectures on Quasiconformal Mappings is a classic mathematical monograph by Lars Ahlfors that systematically develops the theory of quasiconformal mappings in the complex plane and higher dimensions.
-
D.
Möbius transformations
Möbius transformations are conformal automorphisms of the extended complex plane represented by fractional linear functions that map circles and lines to circles and lines.
-
E.
Bochner–Martinelli formula
The Bochner–Martinelli formula is a fundamental integral representation in several complex variables that generalizes the Cauchy integral formula to higher dimensions.
- 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_69d6ab26aae88190b2489efcb2a24234 |
completed | April 8, 2026, 7:23 p.m. |
| NER | Named-entity recognition | batch_69d8a5cba708819097467bb7aca7fc65 |
completed | April 10, 2026, 7:24 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f131a01aa48190bf5a70759ac886f6 |
completed | April 28, 2026, 10:16 p.m. |
| NEDg | Description generation | batch_69f141b31c9081908f19ff870f5f3c33 |
completed | April 28, 2026, 11:24 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69f14fdb39d48190828668fc535d7f6a |
completed | April 29, 2026, 12:24 a.m. |
Created at: April 8, 2026, 9:42 p.m.