Triple
T18479257
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cesàro summation |
E451514
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | method of summability |
C32198
|
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: method of summability Context triple: [Cesàro summation, instanceOf, method of summability]
-
A.
method for manipulating infinite series
chosen
A method for manipulating infinite series is a systematic procedure or algorithm used to transform, analyze, or compute sums of infinitely many terms while preserving convergence properties and enabling meaningful results.
-
B.
circle method
The circle method is an analytic number theory technique that uses integration over the unit circle in the complex plane to estimate the number of representations of integers by various arithmetic functions.
-
C.
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.
-
D.
result in additive number theory
A result in additive number theory is a theorem or proposition that describes how integers can be expressed as sums of other integers, often revealing structural or combinatorial properties of sets under addition.
-
E.
tool in basic hypergeometric series
A tool in basic hypergeometric series is a conceptual or computational method—such as transformation formulas, summation identities, or q-difference operators—used to analyze, manipulate, and evaluate expressions involving q-shifted factorials and q-series.
- 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_69d8d38465a0819099b9b42d2a662ac1 |
completed | April 10, 2026, 10:40 a.m. |
Created at: April 10, 2026, 11:35 a.m.