Triple
T6482554
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gamma function |
E146428
|
entity |
| Predicate | satisfiesFunctionalEquation |
P14252
|
FINISHED |
| Object | Γ(z+1)=zΓ(z) |
—
|
LITERAL FINISHED |
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: Γ(z+1)=zΓ(z) | Statement: [Gamma function, satisfiesFunctionalEquation, Γ(z+1)=zΓ(z)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: satisfiesFunctionalEquation Context triple: [Gamma function, satisfiesFunctionalEquation, Γ(z+1)=zΓ(z)]
-
A.
isSolutionOf
chosen
Indicates that one entity is a correct answer or satisfies the conditions of a given problem, equation, or task.
-
B.
mathematicallyExpressedBy
Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
-
C.
supportsEquations
Indicates that one entity provides the capability to handle, display, or work with mathematical equations for another entity or within a given context.
-
D.
admitsSolution
Indicates that a problem, system, or situation allows for or possesses at least one valid solution.
-
E.
isExactlySolvable
Indicates that a problem, model, or equation can be solved completely and exactly (without approximation) using known analytical or algorithmic methods.
- F. None of above.
Provenance (3 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_69c0090158c08190af0df9a2348d2d52 |
completed | March 22, 2026, 3:21 p.m. |
| NER | Named-entity recognition | batch_69c06a6cd0c4819085a921e6a361d91c |
completed | March 22, 2026, 10:17 p.m. |
| PD | Predicate disambiguation | batch_69c0673f6d48819080e10c85155c7195 |
completed | March 22, 2026, 10:03 p.m. |
Created at: March 22, 2026, 4:51 p.m.