Triple

T23620768
Position Surface form Disambiguated ID Type / Status
Subject Bernoulli polynomials E583311 entity
Predicate expansionProperty P153304 FINISHED
Object any polynomial can be expressed as a linear combination of Bernoulli polynomials 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: any polynomial can be expressed as a linear combination of Bernoulli polynomials | Statement: [Bernoulli polynomials, expansionProperty, any polynomial can be expressed as a linear combination of Bernoulli polynomials]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: expansionProperty
Context triple: [Bernoulli polynomials, expansionProperty, any polynomial can be expressed as a linear combination of Bernoulli polynomials]
  • A. expansionType
    Indicates the specific manner or category by which something grows, extends, or increases in scope or size.
  • B. expansionStrategy
    Indicates the approach or method an entity uses to grow or extend its presence, operations, or influence.
  • C. expansionUnit
    Indicates a unit or component that serves to extend, enlarge, or add capacity to another system, structure, or entity.
  • D. expansionOptions
    Indicates the available ways or configurations in which something can be extended, enlarged, or further developed.
  • E. expansionSystem
    Indicates a relationship where a system undergoes or enables expansion, typically by increasing its scope, capacity, or components over time.
  • F. None of above. chosen

Provenance (4 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_69e248fbcd9081908ba08913f9d30826 completed April 17, 2026, 2:51 p.m.
NER Named-entity recognition batch_69f1b178d20c819094b547c6c7ae6c01 completed April 29, 2026, 7:21 a.m.
PD Predicate disambiguation batch_69f118d0e0588190a86527a7747c5427 completed April 28, 2026, 8:30 p.m.
PDg Predicate description generation batch_69f138b8c9248190b059bc38a9a50958 completed April 28, 2026, 10:46 p.m.
Created at: April 17, 2026, 6:45 p.m.