Triple
T14334427
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Ramanujan theta function |
E355433
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | q-series |
C11532
|
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: q-series Context triple: [Ramanujan theta function, instanceOf, q-series]
-
A.
formal power series
A formal power series is an infinite sum of terms \(a_n x^n\) treated purely algebraically, without concern for convergence, where coefficients \(a_n\) come from a given ring or field.
-
B.
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.
-
C.
special function
chosen
A special function is a mathematically well-studied function, often arising as a solution to differential equations or integrals, that has established names, properties, and applications across many areas of science and engineering.
-
D.
binomial coefficient identity
A binomial coefficient identity is an algebraic equality that relates one or more binomial coefficients, often revealing combinatorial or symmetric properties of counting processes.
-
E.
method for manipulating infinite series
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.
- 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_69d8278fa2108190bc0d0e7939c1eb03 |
completed | April 9, 2026, 10:26 p.m. |
Created at: April 10, 2026, 1:13 a.m.