Triple

T12177313
Position Surface form Disambiguated ID Type / Status
Subject Jeans instability E290120 entity
Predicate governingEquations P12675 FINISHED
Object Euler equation E32276 NE FINISHED

Named-entity recognition

Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's NE type shown above.

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 equation | Statement: [Jeans instability, governingEquations, Euler equation]

Disambiguation candidates (1 decision)

The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Euler equation
Context triple: [Jeans instability, governingEquations, Euler equation]
  • A. Euler equations chosen
    The Euler equations are fundamental partial differential equations in fluid dynamics that describe the motion of an ideal (inviscid) fluid without viscosity.
  • B. Euler–Lagrange equation
    The Euler–Lagrange equation is a fundamental differential equation in the calculus of variations that provides the condition for a function to make a functional stationary, forming the basis of Lagrangian mechanics and many physical theories.
  • C. Bernoulli equation
    The Bernoulli equation is a fundamental principle in fluid dynamics that relates pressure, velocity, and elevation in steady, incompressible, inviscid flow along a streamline.
  • D. Liouville equation
    The Liouville equation is a fundamental differential equation in statistical mechanics and Hamiltonian dynamics that governs the time evolution of a system’s phase-space probability density.
  • E. Cauchy–Euler equation
    The Cauchy–Euler equation is a type of linear ordinary differential equation with variable coefficients that often appears in problems with power-law or scale-invariant behavior.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 batches)

Stage Batch ID Job type Status
creating batch_69d6ab4d6c00819095a9a7c35de83cfb elicitation completed
NER batch_69d915fa6ff08190a1ddb3606c229cad ner completed
NED1 batch_69f5f6ab19288190a882c842d74a2e30 ned_source_triple completed
Created at: April 8, 2026, 9:50 p.m.