Triple
T29436203
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Riesz transforms |
E746579
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | singular integral operator |
C27224
|
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: singular integral operator Context triple: [Riesz transforms, instanceOf, singular integral operator]
-
A.
integral operator
chosen
An integral operator is a mapping that transforms a function into another function by integrating it against a given kernel over a specified domain.
-
B.
integral representation formula
An integral representation formula expresses a function or solution to a problem as an integral involving a kernel or integrand that encodes the relevant data or boundary conditions.
-
C.
integral equation
An integral equation is a mathematical relation in which an unknown function appears under an integral sign, often equated to a given function, and must be solved over a specified domain.
-
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.
integral
An integral is a fundamental mathematical concept that represents the accumulation of quantities, often interpreted as the area under a curve or the total of continuously varying values.
- 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_69f0a7a180e48190ae775e40047dbcb5 |
completed | April 28, 2026, 12:27 p.m. |
Created at: April 28, 2026, 3:16 p.m.