Triple

T5256391
Position Surface form Disambiguated ID Type / Status
Subject Carathéodory–Jacobi–Lie theorem E118708 entity
Predicate usedIn P98 FINISHED
Object Hamiltonian mechanics E300756 NE FINISHED

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: Hamiltonian mechanics
Context triple: [Carathéodory–Jacobi–Lie theorem, usedIn, Hamiltonian mechanics]
  • A. Hamiltonian mechanics chosen
    Hamiltonian mechanics is a reformulation of classical mechanics that describes physical systems in terms of generalized coordinates and conjugate momenta using a Hamiltonian function, providing a powerful framework for both classical and quantum physics.
  • B. 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.
  • C. mathematical foundations of mechanics
    The mathematical foundations of mechanics comprise the rigorous principles and equations, rooted in calculus and Newtonian laws, that describe and predict the motion and interaction of physical bodies.
  • D. Structure and Interpretation of Classical Mechanics
    Structure and Interpretation of Classical Mechanics is a textbook that applies the conceptual and pedagogical style of SICP to advanced classical mechanics, emphasizing computational models and deep understanding of physical principles.
  • E. 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.
  • 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_69bd446978108190bb5f9c5c23d93f88 elicitation completed
NER batch_69bd7ba4ecd88190800b5e4eea3abed5 ner completed
NED1 batch_69befe7a1f448190acfcdfe37c962028 ned_source_triple completed
Created at: March 20, 2026, 1:50 p.m.