Triple

T2126287
Position Surface form Disambiguated ID Type / Status
Subject Boltzmann equation E46431 entity
Predicate hasVariant P455 FINISHED
Object Boltzmann–BGK equation
The Boltzmann–BGK equation is a simplified kinetic model that replaces the complex collision term of the Boltzmann equation with a single relaxation-time approximation to describe gas particle dynamics.
E236564 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: Boltzmann–BGK equation | Statement: [Boltzmann equation, hasVariant, Boltzmann–BGK equation]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Boltzmann–BGK equation
Context triple: [Boltzmann equation, hasVariant, Boltzmann–BGK equation]
  • A. Boltzmann equation
    The Boltzmann equation is a fundamental kinetic theory equation that describes the statistical behavior and time evolution of a dilute gas or particle distribution in phase space due to streaming and collisions.
  • B. Fokker–Planck equation
    The Fokker–Planck equation is a partial differential equation that describes the time evolution of the probability density function of a stochastic (random) process, such as Brownian motion.
  • C. Smoluchowski coagulation equation
    The Smoluchowski coagulation equation is a fundamental integro-differential equation in statistical physics that models how particles undergoing random collisions aggregate over time into larger clusters.
  • D. Navier–Stokes equations
    The Navier–Stokes equations are fundamental partial differential equations in fluid mechanics that describe how the velocity field of a fluid evolves under forces like pressure and viscosity.
  • E. Euler equations
    The Euler equations are fundamental partial differential equations in fluid dynamics that describe the motion of an ideal (inviscid) fluid without viscosity.
  • 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: Boltzmann–BGK equation
Triple: [Boltzmann equation, hasVariant, Boltzmann–BGK equation]
Generated description
The Boltzmann–BGK equation is a simplified kinetic model that replaces the complex collision term of the Boltzmann equation with a single relaxation-time approximation to describe gas particle dynamics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Boltzmann–BGK equation
Target entity description: The Boltzmann–BGK equation is a simplified kinetic model that replaces the complex collision term of the Boltzmann equation with a single relaxation-time approximation to describe gas particle dynamics.
  • A. Boltzmann equation
    The Boltzmann equation is a fundamental kinetic theory equation that describes the statistical behavior and time evolution of a dilute gas or particle distribution in phase space due to streaming and collisions.
  • B. Fokker–Planck equation
    The Fokker–Planck equation is a partial differential equation that describes the time evolution of the probability density function of a stochastic (random) process, such as Brownian motion.
  • C. Smoluchowski coagulation equation
    The Smoluchowski coagulation equation is a fundamental integro-differential equation in statistical physics that models how particles undergoing random collisions aggregate over time into larger clusters.
  • D. Navier–Stokes equations
    The Navier–Stokes equations are fundamental partial differential equations in fluid mechanics that describe how the velocity field of a fluid evolves under forces like pressure and viscosity.
  • E. Euler equations
    The Euler equations are fundamental partial differential equations in fluid dynamics that describe the motion of an ideal (inviscid) fluid without viscosity.
  • 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_69a88a1626548190ae59a5028c3baa8e completed March 4, 2026, 7:37 p.m.
NER Named-entity recognition batch_69abbb59182081908470f9be97e272c8 completed March 7, 2026, 5:44 a.m.
NED1 Entity disambiguation (via context triple) batch_69ae51a0e8ac8190992588bf2bf496ab completed March 9, 2026, 4:50 a.m.
NEDg Description generation batch_69ae521c7810819086b88bb5f062597e completed March 9, 2026, 4:52 a.m.
NED2 Entity disambiguation (via description) batch_69ae52e79c788190bbe6eb5baba08a71 completed March 9, 2026, 4:56 a.m.
Created at: March 4, 2026, 7:44 p.m.