Triple
T36468717
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Möbius transformation |
E898486
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | conformal map |
C66333
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: conformal map Context triple: [Möbius transformation, instanceOf, conformal map]
-
A.
area-preserving map
An area-preserving map is a transformation of a geometric space that leaves the area (or more generally, volume or measure) of any region unchanged under its action.
-
B.
conformal model of the hyperbolic plane
A conformal model of the hyperbolic plane is a geometric representation (such as the Poincaré disk or upper half-plane) in which hyperbolic lines and distances are depicted so that angles are preserved while the metric differs from the Euclidean one.
-
C.
uniformization theory
Uniformization theory is the branch of complex analysis and Riemann surface theory that shows every simply connected Riemann surface is conformally equivalent to one of three canonical domains: the Riemann sphere, the complex plane, or the unit disk.
-
D.
analytic function
An analytic function is a complex-valued function that is locally given by a convergent power series, meaning it is differentiable at every point in its domain and in a neighborhood around each point.
-
E.
problem in complex analysis
A problem in complex analysis is a mathematical question or exercise involving functions of a complex variable, typically exploring properties like analyticity, contour integration, singularities, or conformal mappings.
- F. None of above. chosen
Provenance (1 batch)
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_69f76e58ebd88190b75d9b169b59d793 |
completed | May 3, 2026, 3:48 p.m. |
Created at: May 3, 2026, 4:10 p.m.