Triple

T27562848
Position Surface form Disambiguated ID Type / Status
Subject Legendre polynomials E695818 entity
Predicate areUsedToExpand P25490 FINISHED
Object functions on [-1,1] in orthogonal series 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: functions on [-1,1] in orthogonal series | Statement: [Legendre polynomials, areUsedToExpand, functions on [-1,1] in orthogonal series]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: areUsedToExpand
Context triple: [Legendre polynomials, areUsedToExpand, functions on [-1,1] in orthogonal series]
  • A. expands
    Indicates that one entity increases in size, volume, scope, or extent relative to a previous state or another entity.
  • B. expandedUseOf
    Indicates that something is being applied, implemented, or utilized more broadly or extensively than before.
  • C. expandsIn
    Indicates that one entity grows, spreads, or extends its presence or influence within the space, scope, or context defined by another entity.
  • D. expandsTo
    Indicates that one entity unfolds, develops, or is elaborated into another, typically more detailed or extensive, representation or form.
  • E. areUsedIn chosen
    Indicates that certain entities serve as components, tools, or resources within a particular process, context, or application.
  • 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_69ef53891af88190a193c5e2a1dac9b1 completed April 27, 2026, 12:16 p.m.
NER Named-entity recognition batch_69f6359e3d3c81909814e2f0a7fb0ea9 completed May 2, 2026, 5:34 p.m.
PD Predicate disambiguation batch_69f631871c888190bf29466fe4254e51 completed May 2, 2026, 5:16 p.m.
Created at: April 27, 2026, 1:40 p.m.