Triple
T1249030
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | multinomial theorem |
E26831
|
entity |
| Predicate | coefficientOf |
P12675
|
FINISHED |
| Object | x1^{k1}...xm^{km} equals n!/(k1!...km!) |
—
|
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: x1^{k1}...xm^{km} equals n!/(k1!...km!) | Statement: [multinomial theorem, coefficientOf, x1^{k1}...xm^{km} equals n!/(k1!...km!)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: coefficientOf
Context triple: [multinomial theorem, coefficientOf, x1^{k1}...xm^{km} equals n!/(k1!...km!)]
-
A.
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.
-
B.
mathematicallyExpressedBy
chosen
Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
-
C.
formulaUsed
Indicates that a particular formula is employed or applied in performing a calculation, derivation, or reasoning step.
-
D.
inverselyProportionalTo
Indicates that as the value of one quantity increases, the value of the other quantity decreases in such a way that their product remains constant.
-
E.
constant
Indicates that the relationship or value does not change across different instances, contexts, or over time.
- 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_69a49487a9c48190ba9b05348fd1b53f |
completed | March 1, 2026, 7:33 p.m. |
| NER | Named-entity recognition | batch_69a4bf83b32c81908648e5748b897247 |
completed | March 1, 2026, 10:36 p.m. |
| PD | Predicate disambiguation | batch_69a4bb6b075881908e867c25b5080e25 |
completed | March 1, 2026, 10:19 p.m. |
Created at: March 1, 2026, 7:47 p.m.