Triple
T18299054
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hecke operators |
E438307
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | algebraic operator |
C37701
|
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: algebraic operator Context triple: [Hecke operators, instanceOf, algebraic operator]
-
A.
associative algebra with operator
chosen
An associative algebra with operator is an associative algebra equipped with a distinguished linear operator (such as a derivation, endomorphism, or Rota–Baxter operator) that interacts with the multiplication according to specified compatibility relations.
-
B.
geometric operator
A geometric operator is a mathematical construct that acts on geometric objects (such as points, vectors, or shapes) to transform, relate, or measure them while respecting the underlying geometric structure.
-
C.
operator
An operator is an entity (such as a person, device, or function) that performs, controls, or transforms actions or data within a system.
-
D.
linear differential operator
A linear differential operator is a mapping that takes a function as input and returns a new function formed by a linear combination of the function and its derivatives.
-
E.
Hilbert space operator
A Hilbert space operator is a linear transformation defined on a (subspace of a) Hilbert space that maps vectors to vectors in a way compatible with the space’s inner product structure, often studied via its continuity, boundedness, and spectral properties.
- 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_69d8b915e3e881909125d760c15d0c29 |
completed | April 10, 2026, 8:47 a.m. |
Created at: April 10, 2026, 10:35 a.m.