Triple
T24822338
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Beta function |
E621094
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | Euler integral of the first kind |
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: Euler integral of the first kind Context triple: [Beta function, instanceOf, Euler integral of the first kind]
-
A.
method for asymptotic evaluation of integrals
A method for asymptotic evaluation of integrals is a collection of analytical techniques used to approximate the behavior of integrals in limiting regimes (such as large parameters) by extracting their dominant contributions.
-
B.
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.
-
C.
integral representation formula
An integral representation formula expresses a function or solution to a problem as an integral involving a kernel or integrand that encodes the relevant data or boundary conditions.
-
D.
integral equation
An integral equation is a mathematical relation in which an unknown function appears under an integral sign, often equated to a given function, and must be solved over a specified domain.
-
E.
Euler substitution variant
An Euler substitution variant is a modified form of the classical Euler substitutions used to transform integrals involving square roots of quadratic expressions into more tractable rational integrals by choosing alternative parameterizations.
- 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_69e2fabfd4648190bd0e5c7f4dbb6cab |
completed | April 18, 2026, 3:30 a.m. |
Created at: April 18, 2026, 5:04 a.m.