Triple
T6482568
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gamma function |
E146428
|
entity |
| Predicate | satisfiesStirlingApproximation |
P4460
|
FINISHED |
| Object | Γ(z)~√(2π) z^{z-1/2} e^{-z} as |z|→∞ in sector |
—
|
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)~√(2π) z^{z-1/2} e^{-z} as |z|→∞ in sector | Statement: [Gamma function, satisfiesStirlingApproximation, Γ(z)~√(2π) z^{z-1/2} e^{-z} as |z|→∞ in sector]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: satisfiesStirlingApproximation
Context triple: [Gamma function, satisfiesStirlingApproximation, Γ(z)~√(2π) z^{z-1/2} e^{-z} as |z|→∞ in sector]
-
A.
holdsApproximatelyFor
Indicates that a condition, relation, or value is valid only to an approximate degree or within a tolerance, rather than holding exactly.
-
B.
approximates
chosen
Indicates that one entity is close to, but not exactly equal to, the value, form, or behavior of another entity.
-
C.
approximationFamily
Indicates a relationship where one entity serves as an approximation or approximate representation of another within a defined family or set of approximations.
-
D.
approximationType
Indicates the specific method or scheme used to approximate a value, function, or relationship in a given context.
-
E.
boundedByApprox
Indicates that one quantity is constrained by another within an approximate or tolerance-based bound, rather than an exact strict limit.
- 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.