Triple
T10992324
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirichlet conditions |
E259780
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | criterion for Fourier series 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 Fourier series convergence Context triple: [Dirichlet conditions, instanceOf, criterion for Fourier series convergence]
-
A.
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.
-
B.
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.
-
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.
Dirichlet series
A Dirichlet series is an infinite series of the form ∑ₙ₌₁^∞ aₙ n^(-s), where s is a complex variable and aₙ are complex coefficients, used extensively in analytic number theory to study arithmetic functions and L-functions.
-
E.
numerical stability condition
A numerical stability condition is a mathematical requirement on the step size, discretization parameters, or algorithmic choices that ensures errors in a numerical method do not grow uncontrollably during computation.
- 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_69d6aa8a6a548190a750f944ccdc8064 |
completed | April 8, 2026, 7:20 p.m. |
Created at: April 8, 2026, 9:24 p.m.