Triple
T20404797
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fuchsian differential equation |
E500438
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object | Gauss hypergeometric function |
—
|
NE NERFINISHED |
How this triple was built (2 steps)
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.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Gauss hypergeometric function | Statement: [Fuchsian differential equation, relatedTo, Gauss hypergeometric function]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Gauss hypergeometric function Context triple: [Fuchsian differential equation, relatedTo, Gauss hypergeometric function]
-
A.
Gauss hypergeometric function
chosen
The Gauss hypergeometric function is a special function defined by a power series that generalizes many elementary and higher transcendental functions and plays a central role in mathematical analysis, differential equations, and mathematical physics.
-
B.
Kummer's function (confluent hypergeometric function)
Kummer's function, or the confluent hypergeometric function, is a special function that solves a simplified form of the hypergeometric differential equation and appears widely in mathematical physics, probability, and differential equations.
-
C.
Barnes G-function
The Barnes G-function is a special function that generalizes the superfactorial and is closely related to the gamma and multiple gamma functions in complex analysis and number theory.
-
D.
Gamma function
The Gamma function is a fundamental extension of the factorial function to complex and real non-integer arguments, widely used in analysis, probability, and mathematical physics.
-
E.
Kummer's differential equation
Kummer's differential equation is a second-order linear ordinary differential equation whose solutions are the confluent hypergeometric functions, playing a central role in special function theory and mathematical physics.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (2 batches)
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_69e0b4a81bec8190b69adfdc1336a015 |
completed | April 16, 2026, 10:06 a.m. |
| NER | Named-entity recognition | batch_69e6799161c48190825eca3027d1aa51 |
completed | April 20, 2026, 7:08 p.m. |
Created at: April 16, 2026, 11:29 a.m.