Triple

T6833799
Position Surface form Disambiguated ID Type / Status
Subject Invariante Variationsprobleme E157399 entity
Predicate topic P261 FINISHED
Object Euler–Lagrange equations E54267 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–Lagrange equations | Statement: [Invariante Variationsprobleme, topic, Euler–Lagrange equations]

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–Lagrange equations
Context triple: [Invariante Variationsprobleme, topic, Euler–Lagrange equations]
  • A. Euler–Lagrange equation chosen
    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. Hamilton–Jacobi equation
    The Hamilton–Jacobi equation is a fundamental partial differential equation in classical mechanics that reformulates dynamics in terms of a generating function, providing a powerful bridge to quantum mechanics and modern analytical methods.
  • C. Lagrangian mechanics
    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. principle of least action
    The principle of least action is a fundamental concept in physics stating that the path taken by a physical system between two states is the one for which a specific quantity called the action is minimized (or made stationary), forming the basis of Lagrangian and Hamiltonian mechanics.
  • 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_69c6882c53608190b99aebef079b23bd elicitation completed
NER batch_69c6d67936288190829fedc3729aadd8 ner completed
NED1 batch_69c723fd50c88190af005fd58ca0aee6 ned_source_triple completed
Created at: March 27, 2026, 2:18 p.m.