Triple
T23470569
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Green's function |
E569215
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | integral kernel |
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: integral kernel Context triple: [Green's function, instanceOf, integral kernel]
-
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 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.
-
C.
reproducing kernel
A reproducing kernel is a positive-definite function on a set that allows every function in an associated Hilbert space to be evaluated at any point via an inner product with the kernel.
-
D.
summability kernel
A summability kernel is a sequence or family of functions used to transform or average the partial sums of a series or Fourier series in such a way that convergence is improved or extended to otherwise divergent cases.
-
E.
integration theory
Integration theory is a branch of mathematical analysis that rigorously defines and studies the process of assigning numerical values (integrals) to functions, generalizing area, accumulation, and measure concepts under various frameworks such as Riemann and Lebesgue integration.
- 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_69e2458ebd808190b3298163132cfb0b |
completed | April 17, 2026, 2:37 p.m. |
Created at: April 17, 2026, 5:54 p.m.