Triple
T15860170
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hilbert–Schmidt operator |
E384562
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | bounded linear operator |
C36561
|
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: bounded linear operator Context triple: [Hilbert–Schmidt operator, instanceOf, bounded linear operator]
-
A.
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.
-
B.
integral operator
An integral operator is a mapping that transforms a function into another function by integrating it against a given kernel over a specified domain.
-
C.
elliptic differential operator
An elliptic differential operator is a linear differential operator whose principal symbol is invertible away from the zero section, ensuring strong regularity and smoothing properties for its solutions.
-
D.
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.
-
E.
norm inequality
A norm inequality is a mathematical statement that compares the sizes (norms) of vectors or functions, often establishing bounds or relationships between different norms in a vector space.
- F. None of above. chosen
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_69d86da422088190aac39e32e6c68429 |
completed | April 10, 2026, 3:25 a.m. |
Created at: April 10, 2026, 4:50 a.m.