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: Lebesgue’s differentiation theorem | Statement: [Henri Lebesgue, notableConcept, Lebesgue’s differentiation theorem]

Target entity: Lebesgue’s differentiation theorem
Context triple: [Henri Lebesgue, notableConcept, Lebesgue’s differentiation theorem]

• A. Lebesgue differentiation theorem chosen
  The Lebesgue differentiation theorem is a fundamental result in real analysis stating that, for an integrable function, the averages over shrinking neighborhoods converge almost everywhere to the function’s pointwise value.
• B. Denjoy–Young–Saks theorem
  The Denjoy–Young–Saks theorem is a result in real analysis that classifies the possible behaviors of the derivative of a real function at almost every point on the real line.
• C. Singular Integrals and Differentiability Properties of Functions
  "Singular Integrals and Differentiability Properties of Functions" is a landmark mathematical monograph by Elias M. Stein that developed the modern theory of singular integral operators and their role in harmonic analysis and differentiability.
• D. Lebesgue measure
  Lebesgue measure is the standard way of assigning a consistent notion of "length," "area," or "volume" to subsets of Euclidean space, forming the foundation of modern measure theory and integration.
• E. Lebesgue integration
  Lebesgue integration is a foundational measure-theoretic framework for defining and analyzing integrals, particularly suited to handling limits, convergence, and more general functions than those allowed by Riemann integration.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.