Triple

T7419949
Position Surface form Disambiguated ID Type / Status
Subject Kovalevskaya top E171219 entity
Predicate relatedTo P37 FINISHED
Object Euler–Poisson equations
The Euler–Poisson equations are a system of differential equations in rigid body dynamics that describe the rotational motion of a rigid body with a fixed point under the influence of external forces such as gravity.
E662758 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: Euler–Poisson equations | Statement: [Kovalevskaya top, relatedTo, Euler–Poisson equations]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Euler–Poisson equations
Context triple: [Kovalevskaya top, relatedTo, Euler–Poisson equations]
  • A. Euler equations
    The Euler equations are fundamental partial differential equations in fluid dynamics that describe the motion of an ideal (inviscid) fluid without viscosity.
  • B. 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.
  • C. 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.
  • D. 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.
  • E. 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.
  • 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: Euler–Poisson equations
Triple: [Kovalevskaya top, relatedTo, Euler–Poisson equations]
Generated description
The Euler–Poisson equations are a system of differential equations in rigid body dynamics that describe the rotational motion of a rigid body with a fixed point under the influence of external forces such as gravity.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Euler–Poisson equations
Target entity description: The Euler–Poisson equations are a system of differential equations in rigid body dynamics that describe the rotational motion of a rigid body with a fixed point under the influence of external forces such as gravity.
  • A. Euler equations
    The Euler equations are fundamental partial differential equations in fluid dynamics that describe the motion of an ideal (inviscid) fluid without viscosity.
  • B. 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.
  • C. 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.
  • D. 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.
  • E. 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.
  • 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_69c68a625d048190af70eb8b63bec5a0 completed March 27, 2026, 1:47 p.m.
NER Named-entity recognition batch_69c6f2ea61248190886e8e55b42ba5f1 completed March 27, 2026, 9:13 p.m.
NED1 Entity disambiguation (via context triple) batch_69c81ef7fc808190a564ab4d9d97ab37 completed March 28, 2026, 6:33 p.m.
NEDg Description generation batch_69c81f9b565881909bebcc3112037f52 completed March 28, 2026, 6:36 p.m.
NED2 Entity disambiguation (via description) batch_69c8207912f4819086e99ed441bee805 completed March 28, 2026, 6:39 p.m.
Created at: March 27, 2026, 3:11 p.m.