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.