Triple
T34212303
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dini test for convergence of Fourier series |
E877690
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | criterion for pointwise convergence |
C26950
|
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: criterion for pointwise convergence Context triple: [Dini test for convergence of Fourier series, instanceOf, criterion for pointwise convergence]
-
A.
criterion for uniform convergence
A criterion for uniform convergence is a condition or set of conditions that allows one to determine whether a sequence (or series) of functions converges uniformly to a limiting function on a given domain.
-
B.
criterion for convergence
chosen
A criterion for convergence is a specific test or condition used to determine whether a given sequence or series approaches a finite limit as its index or number of terms increases.
-
C.
criterion in numerical analysis
A criterion in numerical analysis is a quantitative condition or rule—such as a tolerance, convergence test, or stopping condition—used to assess the accuracy, stability, or termination of an algorithm or computational method.
-
D.
generalization of Cauchy sequence
A generalization of a Cauchy sequence is a sequence (or net/filter) in a more abstract setting whose elements become arbitrarily close with respect to a given structure (such as a uniformity, metric-like function, or convergence notion), extending the classical Cauchy condition beyond metric spaces.
-
E.
existence and uniqueness theorem
The existence and uniqueness theorem states that, under certain conditions on a differential equation and its initial values, there exists exactly one solution passing through a given point.
- 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_69f349b0b4bc819088c1552424089ee9 |
completed | April 30, 2026, 12:23 p.m. |
Created at: May 1, 2026, 1:55 a.m.