Triple

T7705169
Position Surface form Disambiguated ID Type / Status
Subject Lindeberg–Feller central limit theorem E174594 entity
Predicate usesCondition P61769 FINISHED
Object Lindeberg condition E174594 NE FINISHED

How this triple was built (3 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: Lindeberg condition | Statement: [Lindeberg–Feller central limit theorem, usesCondition, Lindeberg condition]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Lindeberg condition
Context triple: [Lindeberg–Feller central limit theorem, usesCondition, Lindeberg condition]
  • A. Lindeberg–Feller central limit theorem chosen
    The Lindeberg–Feller central limit theorem is a general form of the central limit theorem that provides conditions under which sums of independent, not necessarily identically distributed random variables converge in distribution to a normal law.
  • B. Berry–Esseen theorem
    The Berry–Esseen theorem is a quantitative refinement of the central limit theorem that provides explicit bounds on the rate of convergence of normalized sums of independent random variables to the normal distribution.
  • C. Limit Laws for Sums of Independent Random Variables
    Limit Laws for Sums of Independent Random Variables is a foundational mathematical work that systematically develops the theory of probability limit theorems, including results such as the law of large numbers and central limit behavior for sums of independent random variables.
  • D. Khinchin's law of the iterated logarithm
    Khinchin's law of the iterated logarithm is a fundamental result in probability theory that precisely characterizes the almost-sure fluctuations of partial sums of independent random variables on the scale of the square root of twice the product of their variance and the iterated logarithm of the sample size.
  • E. Khinchin–Kolmogorov theorem
    The Khinchin–Kolmogorov theorem is a fundamental result in probability theory that provides conditions under which series of independent random variables converge almost surely.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: usesCondition
Context triple: [Lindeberg–Feller central limit theorem, usesCondition, Lindeberg condition]
  • A. holdsUnderCondition chosen
    Indicates that one fact, rule, or relationship remains valid only when a specified condition or set of conditions is satisfied.
  • B. hasCondition
    Indicates that an entity possesses, experiences, or is affected by a particular condition or state.
  • C. triggerCondition
    Indicates the specific circumstances or state under which an associated event, action, or process is initiated or activated.
  • D. authorizationCondition
    Indicates the specific rules or requirements that must be satisfied for an action or access to be legally or formally authorized.
  • E. targetedCondition
    Indicates that an action, intervention, or entity is specifically directed toward affecting, treating, or addressing a particular condition.
  • F. None of above.

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_69c6995b3e8c8190833108f883d5f53c completed March 27, 2026, 2:51 p.m.
NER Named-entity recognition batch_69c70402169481909b219dc5f4a64b9b completed March 27, 2026, 10:26 p.m.
NED1 Entity disambiguation (via context triple) batch_69c8acc088148190ba5ba07e4ad2284c completed March 29, 2026, 4:38 a.m.
PD Predicate disambiguation batch_69c70165e78c8190bf6b3c34e243cb81 completed March 27, 2026, 10:15 p.m.
Created at: March 27, 2026, 4:03 p.m.