Triple
T24081633
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gauss hypergeometric function |
E596519
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | hypergeometric function |
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: hypergeometric function Context triple: [Gauss hypergeometric function, instanceOf, hypergeometric function]
-
A.
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.
-
B.
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.
-
C.
analytic function
An analytic function is a complex-valued function that is locally given by a convergent power series, meaning it is differentiable at every point in its domain and in a neighborhood around each point.
-
D.
multivalued function
A multivalued function is a rule that assigns to each input one or more possible outputs instead of a single unique value.
-
E.
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.
- 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_69e288c4638c81909bacc28a1e3d436b |
completed | April 17, 2026, 7:23 p.m. |
Created at: April 17, 2026, 10:43 p.m.