Triple
T13894108
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hadamard product (of power series) |
E334043
|
entity |
| Predicate | coefficientRule |
P6730
|
FINISHED |
| Object | the nth coefficient of the product equals the product of the nth coefficients of the factors |
—
|
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: the nth coefficient of the product equals the product of the nth coefficients of the factors | Statement: [Hadamard product (of power series), coefficientRule, the nth coefficient of the product equals the product of the nth coefficients of the factors]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: coefficientRule Context triple: [Hadamard product (of power series), coefficientRule, the nth coefficient of the product equals the product of the nth coefficients of the factors]
-
A.
coefficientProperty
Indicates a relationship where one entity serves as a coefficient or scalar factor that quantitatively modifies or characterizes another entity or property.
-
B.
coefficientSystems
Indicates a relationship where specific numerical or algebraic coefficients are assigned or associated with a system, structure, or set of elements.
-
C.
coefficientsIn
Indicates that one entity appears as a coefficient within the mathematical expression or representation of another entity.
-
D.
hasCoefficientType
Indicates that an entity (such as a term, equation, or expression) is associated with a specific type or category of coefficient it uses.
-
E.
compositionRule
chosen
Indicates how multiple elements or components are combined or arranged according to a specific rule or pattern.
- 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_69d81c5dd2d48190b7a5fc1e009de936 |
completed | April 9, 2026, 9:38 p.m. |
| NER | Named-entity recognition | batch_69de23a741908190bdf46d76c5f1411a |
completed | April 14, 2026, 11:23 a.m. |
| PD | Predicate disambiguation | batch_69dd464b1ab48190ae50bfc902bf6ef7 |
completed | April 13, 2026, 7:38 p.m. |
Created at: April 9, 2026, 10:15 p.m.