Triple

T7916243
Position Surface form Disambiguated ID Type / Status
Subject Claude-Louis Navier E183834 entity
Predicate notableConcept P201 FINISHED
Object Navier–Cauchy equations
The Navier–Cauchy equations are the fundamental partial differential equations in linear elasticity that describe how stresses and displacements are related within deformable solid materials.
E702911 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: Navier–Cauchy equations | Statement: [Claude-Louis Navier, notableConcept, Navier–Cauchy equations]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Navier–Cauchy equations
Context triple: [Claude-Louis Navier, notableConcept, Navier–Cauchy equations]
  • A. 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.
  • B. Cauchy stress tensor
    The Cauchy stress tensor is a fundamental concept in continuum mechanics that mathematically represents the internal distribution of forces (stresses) within a deformable material at a point.
  • 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. Reiner–Rivlin fluid model
    The Reiner–Rivlin fluid model is a constitutive model in continuum mechanics that describes the nonlinear stress–strain behavior of certain non-Newtonian, viscoelastic fluids.
  • E. Landau–Lifshitz equations
    The Landau–Lifshitz equations are fundamental differential equations in theoretical physics that describe the dynamics of magnetization in ferromagnets and, more broadly, the behavior of fields in relativistic and nonrelativistic continuum theories.
  • 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: Navier–Cauchy equations
Triple: [Claude-Louis Navier, notableConcept, Navier–Cauchy equations]
Generated description
The Navier–Cauchy equations are the fundamental partial differential equations in linear elasticity that describe how stresses and displacements are related within deformable solid materials.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Navier–Cauchy equations
Target entity description: The Navier–Cauchy equations are the fundamental partial differential equations in linear elasticity that describe how stresses and displacements are related within deformable solid materials.
  • A. 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.
  • B. Cauchy stress tensor
    The Cauchy stress tensor is a fundamental concept in continuum mechanics that mathematically represents the internal distribution of forces (stresses) within a deformable material at a point.
  • 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. Reiner–Rivlin fluid model
    The Reiner–Rivlin fluid model is a constitutive model in continuum mechanics that describes the nonlinear stress–strain behavior of certain non-Newtonian, viscoelastic fluids.
  • E. Landau–Lifshitz equations
    The Landau–Lifshitz equations are fundamental differential equations in theoretical physics that describe the dynamics of magnetization in ferromagnets and, more broadly, the behavior of fields in relativistic and nonrelativistic continuum theories.
  • 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_69ca828efbe48190bd48482650182e79 completed March 30, 2026, 2:02 p.m.
NER Named-entity recognition batch_69cb3a76ae688190b068e4c92603a16d completed March 31, 2026, 3:07 a.m.
NED1 Entity disambiguation (via context triple) batch_69cbdffe21fc8190acffc2e92d13aa5d completed March 31, 2026, 2:53 p.m.
NEDg Description generation batch_69cbe30b7904819083050a00258287a4 completed March 31, 2026, 3:06 p.m.
NED2 Entity disambiguation (via description) batch_69cc327e60e08190a1dcf8f7a4542cf9 completed March 31, 2026, 8:45 p.m.
Created at: March 30, 2026, 5:05 p.m.