Triple
T20593789
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirac Hamiltonian |
E505997
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | unbounded operator |
C37052
|
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: unbounded operator Context triple: [Dirac Hamiltonian, instanceOf, unbounded operator]
-
A.
bounded linear operator
A bounded linear operator is a linear transformation between normed vector spaces that maps bounded sets to bounded sets, equivalently having a finite operator norm.
-
B.
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.
-
C.
operator theory concept
chosen
An operator theory concept is an abstract mathematical construct that studies linear operators on function spaces, focusing on their properties, spectra, and behavior under various transformations.
-
D.
compact operator
A compact operator is a linear operator between normed spaces that maps bounded sets to relatively compact sets, meaning the image of any bounded sequence has a convergent subsequence.
-
E.
semigroup of operators
A semigroup of operators is a family of linear operators on a space, indexed by a semigroup (often time), such that the composition of operators matches the semigroup operation and typically includes an identity at the neutral element.
- 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_69e0b4ba6ae88190af871e1f9522c704 |
completed | April 16, 2026, 10:06 a.m. |
Created at: April 16, 2026, 11:40 a.m.