Triple

T11961275
Position Surface form Disambiguated ID Type / Status
Subject Fatou's lemma E284673 entity
Predicate probabilisticForm P102500 FINISHED
Object E[lim inf X_n] ≤ lim inf E[X_n] for nonnegative random variables 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: E[lim inf X_n] ≤ lim inf E[X_n] for nonnegative random variables | Statement: [Fatou's lemma, probabilisticForm, E[lim inf X_n] ≤ lim inf E[X_n] for nonnegative random variables]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: probabilisticForm
Context triple: [Fatou's lemma, probabilisticForm, E[lim inf X_n] ≤ lim inf E[X_n] for nonnegative random variables]
  • A. typicalForm
    Indicates that one entity represents the standard, characteristic, or most common form or shape in which another entity typically appears or is realized.
  • B. mayForm
    Indicates that one entity has the potential or permission to be combined or configured to create, constitute, or result in another entity or structure.
  • C. formsIn
    Indicates that one entity takes shape, develops, or comes into existence within or inside another entity.
  • D. logicalForm
    Indicates a relationship where an expression is associated with its structured, formal logical representation.
  • E. notableForm
    Indicates that one entity is a significant or characteristic form, version, or manifestation of another entity.
  • 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_69d6ab2eaeb881909f7914758f859413 completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d9036941948190b150369094551731 completed April 10, 2026, 2:04 p.m.
PD Predicate disambiguation batch_69d8bb40f30c8190a0e0719bd67542bf completed April 10, 2026, 8:56 a.m.
PDg Predicate description generation batch_69d8dd0ba0f88190b7d5e358c27ca184 completed April 10, 2026, 11:20 a.m.
Created at: April 8, 2026, 9:45 p.m.