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: Noether's theorem | Statement: [Liouville–Arnold theorem, relatedTo, Noether's theorem]

Target entity: Noether's theorem
Context triple: [Liouville–Arnold theorem, relatedTo, Noether's theorem]

• A. Noether's theorem chosen
  Noether's theorem is a fundamental result in theoretical physics and mathematics that links continuous symmetries of a physical system to corresponding conservation laws, such as energy or momentum conservation.
• B. Noether charge
  A Noether charge is a conserved quantity associated with a continuous symmetry of a physical system, arising from Noether's theorem.
• C. Noether’s theorem in algebraic geometry (Noether’s AF+BG theorem)
  Noether’s AF+BG theorem is a foundational result in algebraic geometry that provides conditions under which a polynomial vanishing on the intersection of two plane curves can be expressed as a linear combination of their defining equations.
• D. CPT theorem
  The CPT theorem is a fundamental result in quantum field theory stating that any Lorentz-invariant local quantum field theory with a Hermitian Hamiltonian is invariant under the combined operations of charge conjugation (C), parity transformation (P), and time reversal (T).
• E. Liouville's theorem
  Liouville's theorem is a fundamental result in complex analysis stating that any bounded entire function must be constant.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.