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: Sturm–Liouville theory | Statement: [Boris Levitan, hasResearchArea, Sturm–Liouville theory]

Target entity: Sturm–Liouville theory
Context triple: [Boris Levitan, hasResearchArea, Sturm–Liouville theory]

• A. Sturm–Liouville problem chosen
  The Sturm–Liouville problem is a class of second-order linear differential equations with boundary conditions that yield real eigenvalues and orthogonal eigenfunctions forming a basis for function expansions in mathematical physics and engineering.
• B. Gelfand–Levitan theory
  Gelfand–Levitan theory is a foundational framework in inverse spectral theory that reconstructs differential operators or potentials from their spectral data using integral equations.
• C. Borg–Marchenko theorem
  The Borg–Marchenko theorem is a fundamental result in inverse spectral theory that characterizes when a potential in a one-dimensional Schrödinger operator is uniquely determined by its spectral data.
• D. Methods of Mathematical Physics
  Methods of Mathematical Physics is a classic two-volume textbook by Richard Courant and David Hilbert that rigorously develops the mathematical foundations and techniques used in theoretical physics.
• E. Steklov eigenvalue problem
  The Steklov eigenvalue problem is a type of spectral boundary value problem in which eigenvalues appear in the boundary conditions of a partial differential equation, playing a key role in mathematical physics and geometric analysis.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.