Triple
T5256369
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Carathéodory–Jacobi–Lie theorem |
E118708
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | theorem in symplectic geometry |
C716
|
CONCEPT FINISHED |
Disambiguation candidates (1 decision)
The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: theorem in symplectic geometry Context triple: [Carathéodory–Jacobi–Lie theorem, instanceOf, theorem in symplectic geometry]
-
A.
mathematical theorem
chosen
A mathematical theorem is a rigorously proven statement derived from axioms and previously established results, expressing a fundamental truth within a formal mathematical system.
-
B.
geometric invariant
A geometric invariant is a property of a geometric object that remains unchanged under a specified group of transformations, such as rotations, translations, or more general symmetries.
-
C.
branch of differential geometry
A branch of differential geometry is a specialized area of study within differential geometry that focuses on analyzing smooth manifolds and related geometric structures using differential and integral calculus techniques.
-
D.
tool in geometric analysis
A tool in geometric analysis is a mathematical method, concept, or construction used to study and characterize the geometric and analytic properties of spaces, shapes, and mappings.
-
E.
geometric structure
A geometric structure is an abstract mathematical entity defined by sets of points and the relationships between them (such as distances, angles, or incidences) that determine its shape and spatial properties.
- F. None of above.
Provenance (1 batch)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69bd446978108190bb5f9c5c23d93f88 |
elicitation | completed |
Created at: March 20, 2026, 1:50 p.m.