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: Hardy–Littlewood–Pólya theorem | Statement: [Karamata's inequality, relatedTo, Hardy–Littlewood–Pólya theorem]

Target entity: Hardy–Littlewood–Pólya theorem
Context triple: [Karamata's inequality, relatedTo, Hardy–Littlewood–Pólya theorem]

• A. Hardy–Littlewood–Pólya inequality chosen
  The Hardy–Littlewood–Pólya inequality is a fundamental result in majorization theory and inequalities that characterizes how convex functions behave under rearrangements of sequences or vectors.
• B. Herglotz's theorem
  Herglotz's theorem is a fundamental result in harmonic analysis and probability theory that characterizes positive-definite functions on the unit circle via representing measures.
• C. Problems and Theorems in Analysis (with George Pólya)
  "Problems and Theorems in Analysis (with George Pólya)" is a classic two-volume collection of challenging problems and results in mathematical analysis that has become a standard reference and training resource for advanced students and researchers.
• D. Schur product theorem
  The Schur product theorem is a result in linear algebra stating that the entrywise (Hadamard) product of two positive semidefinite matrices is itself positive semidefinite.
• E. Bohr–Courant theorem
  The Bohr–Courant theorem is a classical result in analytic number theory describing the value distribution of Dirichlet series, particularly the Riemann zeta function, and serves as a precursor to modern universality theorems such as Voronin’s.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.