Triple

T16705779
Position Surface form Disambiguated ID Type / Status
Subject Harold Grad E405963 entity
Predicate notableFor P22 FINISHED
Object Grad 13-moment method in kinetic theory
The Grad 13-moment method in kinetic theory is an approximate closure scheme that represents a gas’s distribution function using 13 macroscopic moments to bridge microscopic kinetic behavior and macroscopic fluid dynamics.
E1229619 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: Grad 13-moment method in kinetic theory | Statement: [Harold Grad, notableFor, Grad 13-moment method in kinetic theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Grad 13-moment method in kinetic theory
Context triple: [Harold Grad, notableFor, Grad 13-moment method in kinetic theory]
  • A. 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.
  • B. Boltzmann–Kac equation
    The Boltzmann–Kac equation is a kinetic equation in statistical mechanics that models the evolution of the velocity distribution of particles in a gas, providing a probabilistic framework related to the classical Boltzmann equation.
  • C. Landau collision operator
    The Landau collision operator is a kinetic theory operator used in plasma physics to describe the cumulative effect of many small-angle Coulomb collisions on the evolution of a particle distribution function.
  • D. Vlasov equation (for long-range interactions and negligible collisions)
    The Vlasov equation is a kinetic equation that describes the evolution of the distribution function of a many-particle system with long-range interactions in the collisionless (or weakly collisional) regime, widely used in plasma physics and astrophysics.
  • E. 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.
  • 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: Grad 13-moment method in kinetic theory
Triple: [Harold Grad, notableFor, Grad 13-moment method in kinetic theory]
Generated description
The Grad 13-moment method in kinetic theory is an approximate closure scheme that represents a gas’s distribution function using 13 macroscopic moments to bridge microscopic kinetic behavior and macroscopic fluid dynamics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Grad 13-moment method in kinetic theory
Target entity description: The Grad 13-moment method in kinetic theory is an approximate closure scheme that represents a gas’s distribution function using 13 macroscopic moments to bridge microscopic kinetic behavior and macroscopic fluid dynamics.
  • A. 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.
  • B. Boltzmann–Kac equation
    The Boltzmann–Kac equation is a kinetic equation in statistical mechanics that models the evolution of the velocity distribution of particles in a gas, providing a probabilistic framework related to the classical Boltzmann equation.
  • C. Landau collision operator
    The Landau collision operator is a kinetic theory operator used in plasma physics to describe the cumulative effect of many small-angle Coulomb collisions on the evolution of a particle distribution function.
  • D. Vlasov equation (for long-range interactions and negligible collisions)
    The Vlasov equation is a kinetic equation that describes the evolution of the distribution function of a many-particle system with long-range interactions in the collisionless (or weakly collisional) regime, widely used in plasma physics and astrophysics.
  • E. 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.
  • 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_69d8838db21081909589220fd71440a4 completed April 10, 2026, 4:58 a.m.
NER Named-entity recognition batch_69e383355f908190be467a12079b3d6f completed April 18, 2026, 1:12 p.m.
NED1 Entity disambiguation (via context triple) batch_6a0091a36a5c8190a1486fcf11995b7c completed May 10, 2026, 2:09 p.m.
NEDg Description generation batch_6a0092f76d188190aae1f3d8bad47a1b completed May 10, 2026, 2:15 p.m.
NED2 Entity disambiguation (via description) batch_6a0093ad67808190b4a983122e0a0415 completed May 10, 2026, 2:18 p.m.
Created at: April 10, 2026, 5:19 a.m.