Triple
T6482548
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gamma function |
E146428
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | extension of factorial |
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: extension of factorial Context triple: [Gamma function, instanceOf, extension of factorial]
-
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.
hyperoperation notation
Hyperoperation notation is a systematic way of representing an infinite hierarchy of arithmetic operations (such as addition, multiplication, exponentiation, tetration, and beyond) using a unified symbolic scheme.
-
C.
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.
-
D.
maximal analytic extension
A maximal analytic extension is the largest possible extension of a given spacetime (or manifold with metric) in which the metric and its geodesics can be continued analytically without introducing further removable boundaries or singularities.
-
E.
L-function
An L-function is a complex analytic function, typically expressed as a Dirichlet series with an Euler product, that encodes deep arithmetic information about objects such as numbers, fields, or algebraic varieties.
- 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_69c0090158c08190af0df9a2348d2d52 |
completed | March 22, 2026, 3:21 p.m. |
Created at: March 22, 2026, 4:51 p.m.