Triple
T10807827
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hamilton’s maximum principle |
E255014
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | result in geometric analysis |
C10469
|
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: result in geometric analysis Context triple: [Hamilton’s maximum principle, instanceOf, result in geometric analysis]
-
A.
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.
-
B.
result in geometry
chosen
A result in geometry is a proven statement or theorem that describes a specific property, relationship, or behavior of geometric figures and spaces.
-
C.
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.
-
D.
result in convex analysis
In convex analysis, a result is a formally stated and proven fact—such as a theorem, lemma, or proposition—that characterizes properties or relationships of convex sets, convex functions, or related optimization structures.
-
E.
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.
- F. None of above.
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_69d6aa61c15c8190a1839550c56e75e1 |
completed | April 8, 2026, 7:20 p.m. |
Created at: April 8, 2026, 9:18 p.m.