Triple

T33361836
Position Surface form Disambiguated ID Type / Status
Subject Liouville's theorem (complex analysis) E854242 entity
Predicate boundednessCondition P166296 FINISHED
Object function is bounded on the complex plane 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: function is bounded on the complex plane | Statement: [Liouville's theorem (complex analysis), boundednessCondition, function is bounded on the complex plane]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: boundednessCondition
Context triple: [Liouville's theorem (complex analysis), boundednessCondition, function is bounded on the complex plane]
  • A. bounded
    Indicates that one entity is spatially or conceptually enclosed, delimited, or constrained by another.
  • B. boundedInLInfinity
    Indicates that the values of one function or quantity are uniformly bounded by another in the L-infinity (supremum) norm, meaning their maximum pointwise difference remains below some fixed finite constant.
  • C. boundedByApprox
    Indicates that one quantity is constrained by another within an approximate or tolerance-based bound, rather than an exact strict limit.
  • D. boundedInL1
    Indicates that the difference between the related entities is bounded in the L1 norm (i.e., their absolute differences sum to a finite, uniformly limited value).
  • E. isBounded chosen
    Indicates that a quantity, function, or set does not exceed certain fixed limits in magnitude or extent.
  • 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_69f3496bda8c8190bfc8fade9d1b791c completed April 30, 2026, 12:22 p.m.
NER Named-entity recognition batch_69f6e3156ea48190b604e414665ef351 completed May 3, 2026, 5:54 a.m.
PD Predicate disambiguation batch_69f6de0b9ba48190887c9eb5d06a2e94 completed May 3, 2026, 5:32 a.m.
Created at: May 1, 2026, 1:34 a.m.