Triple

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).

Phrase: Kolmogorov–Arnold–Moser theorem | Statement: [Liouville–Arnold theorem, relatedTo, Kolmogorov–Arnold–Moser theorem]

Target entity: Kolmogorov–Arnold–Moser theorem
Context triple: [Liouville–Arnold theorem, relatedTo, Kolmogorov–Arnold–Moser theorem]

• A. Kolmogorov–Arnold–Moser theory chosen
  Kolmogorov–Arnold–Moser theory is a fundamental result in dynamical systems that explains the persistence of quasi-periodic motions in nearly integrable Hamiltonian systems under small perturbations.
• B. Nekhoroshev theory
  Nekhoroshev theory is a result in Hamiltonian dynamical systems that provides exponentially long stability estimates for nearly integrable systems under small perturbations.
• C. Liouville–Arnold theorem
  The Liouville–Arnold theorem is a fundamental result in Hamiltonian mechanics that guarantees the integrability of a system with sufficiently many conserved quantities and describes its motion as quasi-periodic on invariant tori in phase space.
• D. Arnold diffusion
  Arnold diffusion is a phenomenon in Hamiltonian dynamical systems where very small perturbations can cause slow, long-term drift of trajectories across invariant tori in phase space, leading to global instability.
• E. Kovalevskaya integral
  The Kovalevskaya integral is an additional conserved quantity that makes the motion of the Kovalevskaya top exactly integrable in classical rigid body dynamics.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.