Triple
T1523225
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Euler equations |
E32276
|
entity |
| Predicate | isLimitCaseOf |
P9149
|
FINISHED |
| Object | Navier–Stokes equations with zero viscosity |
E5106
|
NE FINISHED |
How this triple was built (3 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 with zero viscosity | Statement: [Euler equations, isLimitCaseOf, Navier–Stokes equations with zero viscosity]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Navier–Stokes equations with zero viscosity Context triple: [Euler equations, isLimitCaseOf, Navier–Stokes equations with zero 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.
Euler equations
The Euler equations are fundamental partial differential equations in fluid dynamics that describe the motion of an ideal (inviscid) fluid without viscosity.
-
D.
Stokes flow
Stokes flow is a type of fluid motion dominated by viscous forces and characterized by very low Reynolds numbers, where inertial effects are negligible.
-
E.
An Introduction to Fluid Dynamics
An Introduction to Fluid Dynamics is a classic graduate-level textbook that rigorously develops the theoretical foundations of fluid mechanics and has become a standard reference in the field.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isLimitCaseOf Context triple: [Euler equations, isLimitCaseOf, Navier–Stokes equations with zero viscosity]
-
A.
isLimitOf
chosen
Indicates that one quantity, function, or sequence approaches a particular value as its input or index approaches some specified point or condition.
-
B.
hasLimitation
Indicates that an entity is subject to a constraint, restriction, or boundary that limits its scope, capability, or applicability.
-
C.
isUpperBoundFor
Indicates that one value is greater than or equal to every element in a given set or collection, serving as an upper limit for them.
-
D.
jurisdictionLimit
Indicates the maximum scope or boundary within which an authority, organization, or rule is legally empowered to operate or exercise control.
-
E.
isLargestOf
Indicates that one entity has the greatest size, extent, or magnitude among a specified set of entities.
- F. None of above.
Provenance (4 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_69a885e9b0ac819093a9806ad0efc82c |
completed | March 4, 2026, 7:20 p.m. |
| NER | Named-entity recognition | batch_69a93d4756888190bf3872154de11539 |
completed | March 5, 2026, 8:22 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ad294f9e2481909f1d685d7f083c6a |
completed | March 8, 2026, 7:46 a.m. |
| PD | Predicate disambiguation | batch_69a907ac7ea081908dd95bb5cc3b9847 |
completed | March 5, 2026, 4:33 a.m. |
Created at: March 4, 2026, 7:26 p.m.