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: Pfaffian system of equations | Statement: [Pfaffian form, closelyRelatedTo, Pfaffian system of equations]

Target entity: Pfaffian system of equations
Context triple: [Pfaffian form, closelyRelatedTo, Pfaffian system of equations]

• A. Pfaffian form chosen
  A Pfaffian form is a type of differential 1-form on a manifold that encodes constraints or relations between variables, widely used in thermodynamics and differential geometry.
• B. Vessiot theory of differential equations
  The Vessiot theory of differential equations is a geometric framework that studies differential equations via their symmetry and structure using concepts from Lie groups and differential geometry.
• C. Fuchsian differential equation
  A Fuchsian differential equation is a type of linear ordinary differential equation characterized by having only regular singular points, extensively studied in complex analysis and the theory of special functions.
• D. Picard–Vessiot theory
  Picard–Vessiot theory is a branch of differential Galois theory that studies linear differential equations via the symmetries of their solution fields, analogous to classical Galois theory for polynomial equations.
• E. Carathéodory–Jacobi–Lie theorem
  The Carathéodory–Jacobi–Lie theorem is a fundamental result in symplectic geometry and Hamiltonian mechanics that provides canonical local coordinates adapted to a given set of commuting functions.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.