Triple
T2126284
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Boltzmann equation |
E46431
|
entity |
| Predicate | hasLimit |
P16655
|
FINISHED |
| Object | Navier–Stokes equations (hydrodynamic limit with viscosity) |
E5106
|
NE FINISHED |
How this triple was built (2 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: Navier–Stokes equations (hydrodynamic limit with viscosity) | Statement: [Boltzmann equation, hasLimit, Navier–Stokes equations (hydrodynamic limit with viscosity)]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Navier–Stokes equations (hydrodynamic limit with viscosity) Context triple: [Boltzmann equation, hasLimit, Navier–Stokes equations (hydrodynamic limit with viscosity)]
-
A.
Navier–Stokes equations
chosen
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.
-
B.
Dynamics of Nonhomogeneous Fluids
Dynamics of Nonhomogeneous Fluids is a seminal scientific monograph by Chia-Shun Yih that develops the theoretical foundations of fluid motion in media with spatially varying density and related properties.
-
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.
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.
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.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 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_69ae58cf2a588190a59dc1ae5d684538 |
completed | March 9, 2026, 5:21 a.m. |
Created at: March 4, 2026, 7:44 p.m.