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 "Inequalities" | Statement: [Karamata's inequality, appearsIn, Hardy–Littlewood–Pólya "Inequalities"]

Target entity: Hardy–Littlewood–Pólya "Inequalities"
Context triple: [Karamata's inequality, appearsIn, Hardy–Littlewood–Pólya "Inequalities"]

• 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. Chebyshev’s sum inequality
  Chebyshev’s sum inequality is a mathematical inequality that provides bounds on the sum of products of similarly ordered sequences, widely used in analysis and probability theory.
• C. Maclaurin’s inequality in symmetric means
  Maclaurin’s inequality in symmetric means is a classical result in mathematical analysis that relates and bounds the sequence of elementary symmetric means of a set of nonnegative real numbers, showing they form a decreasing sequence.
• D. 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.
• E. Muirhead's inequality
  Muirhead's inequality is a fundamental result in symmetric inequalities that compares sums of symmetric power terms of variables based on majorization of exponent sequences.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.