Triple
T1285998
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | generalized binomial theorem |
E27434
|
entity |
| Predicate | coefficientDefinition |
P773
|
FINISHED |
| Object | (α choose k) = α(α-1)…(α-k+1)/k! |
—
|
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: (α choose k) = α(α-1)…(α-k+1)/k! | Statement: [generalized binomial theorem, coefficientDefinition, (α choose k) = α(α-1)…(α-k+1)/k!]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: coefficientDefinition Context triple: [generalized binomial theorem, coefficientDefinition, (α choose k) = α(α-1)…(α-k+1)/k!]
-
A.
mathematicallyExpressedBy
Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
-
B.
coinedTerm
Indicates that an entity originated and introduced a particular term or expression into use.
-
C.
dragCoefficient
Indicates the dimensionless proportionality factor that relates the drag force experienced by an object moving through a fluid to its shape, flow conditions, and reference area.
-
D.
constant
Indicates that the relationship or value does not change across different instances, contexts, or over time.
-
E.
defined
chosen
Indicates that one entity specifies, explains, or establishes the meaning, scope, or identity of another entity.
- 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_69a496d4ec448190ad653b2590c46711 |
completed | March 1, 2026, 7:43 p.m. |
| NER | Named-entity recognition | batch_69a4c0b85eb48190a8b61dc397fa6390 |
completed | March 1, 2026, 10:42 p.m. |
| PD | Predicate disambiguation | batch_69a4bee276d8819092f71c5a1140bb61 |
completed | March 1, 2026, 10:34 p.m. |
Created at: March 1, 2026, 7:51 p.m.