Triple

T24805942
Position Surface form Disambiguated ID Type / Status
Subject Vandermonde matrix E620657 entity
Predicate hasAlternativeBasis P157838 FINISHED
Object can be replaced by orthogonal polynomial bases for better conditioning 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: can be replaced by orthogonal polynomial bases for better conditioning | Statement: [Vandermonde matrix, hasAlternativeBasis, can be replaced by orthogonal polynomial bases for better conditioning]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasAlternativeBasis
Context triple: [Vandermonde matrix, hasAlternativeBasis, can be replaced by orthogonal polynomial bases for better conditioning]
  • A. hasBasisIn
    Indicates that one entity is founded, derived, or justified on the grounds of another entity.
  • B. hasAlternativeReferent
    Indicates that an entity can also be referred to or identified by an alternative name, label, or reference.
  • C. hasAlternativeNotation
    Indicates that an entity can be represented or written in a different, equivalent form or notation.
  • D. hasAlternativeProofMethod
    Indicates that there exists a different proof technique or approach that can be used to establish the same result or theorem.
  • E. hasAlternativeMultiplierChoice
    Indicates that an entity is associated with one or more alternative options for a multiplier that can be chosen instead of a default value.
  • 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_69e2fabf26bc8190b191faac8f67065b completed April 18, 2026, 3:30 a.m.
NER Named-entity recognition batch_69f453035f508190be83a3d521723acf completed May 1, 2026, 7:15 a.m.
PD Predicate disambiguation batch_69f44d6ef33081908f5d36ba1ae5f473 completed May 1, 2026, 6:51 a.m.
PDg Predicate description generation batch_69f45300bd488190bb1d4160f5534ef6 completed May 1, 2026, 7:15 a.m.
Created at: April 18, 2026, 4:50 a.m.