Triple
T22328686
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Kähler cone |
E551967
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | convex cone |
C3714
|
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: convex cone Context triple: [Kähler cone, instanceOf, convex cone]
-
A.
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.
-
B.
extreme point
An extreme point of a convex set is a point in the set that cannot be expressed as a nontrivial convex combination of other distinct points from the set.
-
C.
quadratic form
A quadratic form is a homogeneous polynomial of degree two in several variables, typically expressed as xᵀAx for a symmetric matrix A, that defines a scalar-valued function capturing curvature and geometric properties such as lengths, angles, and conic sections.
-
D.
polyhedral optimizer
A polyhedral optimizer is a compiler component that analyzes and transforms loop nests using polyhedral models to improve performance through advanced loop restructuring, parallelization, and locality optimization.
-
E.
geometric object
chosen
A geometric object is an abstract entity defined by points, lines, surfaces, or volumes in space, characterized by properties such as shape, size, position, and orientation.
- 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_69e11e482f788190b78d1588fc26d606 |
completed | April 16, 2026, 5:37 p.m. |
Created at: April 16, 2026, 8:43 p.m.