Triple

T6877398
Position Surface form Disambiguated ID Type / Status
Subject d’Alembert’s principle E158704 entity
Predicate consequence P374 FINISHED
Object leads to Lagrange’s equations of the first kind E155679 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: leads to Lagrange’s equations of the first kind | Statement: [d’Alembert’s principle, consequence, leads to Lagrange’s equations of the first kind]

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: leads to Lagrange’s equations of the first kind
Context triple: [d’Alembert’s principle, consequence, leads to Lagrange’s equations of the first kind]
  • A. 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.
  • B. Lagrange’s planetary equations
    Lagrange’s planetary equations are a set of differential equations in celestial mechanics that describe how the orbital elements of a body evolve over time under perturbing forces.
  • C. Lagrangian mechanics chosen
    Lagrangian mechanics is a reformulation of classical mechanics that uses energy-based principles and the calculus of variations to derive the equations of motion for physical systems.
  • D. 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.
  • E. d’Alembert’s principle
    d’Alembert’s principle is a fundamental concept in classical mechanics that reformulates Newton’s laws to analyze the motion of systems by introducing inertial forces so they can be treated as if in static equilibrium.
  • 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_69c68832af1481908ce356e133ebaebe elicitation completed
NER batch_69c6d8ccc29c8190904cb73c4cbb5dca ner completed
NED1 batch_69c742c2b81881909bd13df0d6028cc6 ned_source_triple completed
Created at: March 27, 2026, 2:22 p.m.