Triple

T15502599
Position Surface form Disambiguated ID Type / Status
Subject Khinchin–Pollaczek formula E378997 entity
Predicate relatedTo P37 FINISHED
Object Lindley equation
The Lindley equation is a fundamental recursive relation in queueing theory that describes the waiting time process in single-server queues.
E1160279 NE FINISHED

How this triple was built (4 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: Lindley equation | Statement: [Khinchin–Pollaczek formula, relatedTo, Lindley equation]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Lindley equation
Context triple: [Khinchin–Pollaczek formula, relatedTo, Lindley equation]
  • A. Abreu equation
    The Abreu equation is a fourth-order nonlinear partial differential equation arising in Kähler and toric geometry, particularly in the study of extremal and constant scalar curvature Kähler metrics.
  • B. Carothers equation
    The Carothers equation is a fundamental relation in polymer chemistry that links the average degree of polymerization to the extent of reaction in step-growth polymerizations.
  • C. Charney equation
    The Charney equation is a fundamental quasi-geostrophic equation in atmospheric dynamics that describes large-scale Rossby waves and mid-latitude weather patterns on a rotating planet.
  • D. Hill equation
    The Hill equation is a mathematical expression used in biochemistry and physiology to describe how the binding of ligands to macromolecules or the response to a drug depends on ligand concentration, often capturing cooperative binding behavior.
  • E. Darwin–Fowler method
    The Darwin–Fowler method is a statistical mechanics technique that uses complex analysis and generating functions to derive distribution laws for systems of many particles.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Lindley equation
Triple: [Khinchin–Pollaczek formula, relatedTo, Lindley equation]
Generated description
The Lindley equation is a fundamental recursive relation in queueing theory that describes the waiting time process in single-server queues.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Lindley equation
Target entity description: The Lindley equation is a fundamental recursive relation in queueing theory that describes the waiting time process in single-server queues.
  • A. Abreu equation
    The Abreu equation is a fourth-order nonlinear partial differential equation arising in Kähler and toric geometry, particularly in the study of extremal and constant scalar curvature Kähler metrics.
  • B. Carothers equation
    The Carothers equation is a fundamental relation in polymer chemistry that links the average degree of polymerization to the extent of reaction in step-growth polymerizations.
  • C. Charney equation
    The Charney equation is a fundamental quasi-geostrophic equation in atmospheric dynamics that describes large-scale Rossby waves and mid-latitude weather patterns on a rotating planet.
  • D. Hill equation
    The Hill equation is a mathematical expression used in biochemistry and physiology to describe how the binding of ligands to macromolecules or the response to a drug depends on ligand concentration, often capturing cooperative binding behavior.
  • E. Darwin–Fowler method
    The Darwin–Fowler method is a statistical mechanics technique that uses complex analysis and generating functions to derive distribution laws for systems of many particles.
  • F. None of above. chosen

Provenance (5 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_69d85cd53a7c819080f5b9042c4c199e completed April 10, 2026, 2:13 a.m.
NER Named-entity recognition batch_69e03fcc5bb88190b8a9a81419a9a38b completed April 16, 2026, 1:47 a.m.
NED1 Entity disambiguation (via context triple) batch_69ff3669f908819087162b1b8a4e4320 completed May 9, 2026, 1:28 p.m.
NEDg Description generation batch_69ff375856448190a61979dfff751f06 completed May 9, 2026, 1:32 p.m.
NED2 Entity disambiguation (via description) batch_69ff3830f0148190846bd24db1e0d754 completed May 9, 2026, 1:35 p.m.
Created at: April 10, 2026, 3:54 a.m.