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 measure | Statement: [measure theory, notableMeasure, Lebesgue measure]

Target entity: Lebesgue measure
Context triple: [measure theory, notableMeasure, Lebesgue measure]

• A. Lebesgue measure chosen
  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.
• B. Lebesgue measurable set
  A Lebesgue measurable set is a subset of Euclidean space for which a consistent, translation-invariant notion of "size" (Lebesgue measure) can be assigned, forming the foundation of modern measure theory and integration.
• C. 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.
• D. measure theory
  Measure theory is a branch of mathematical analysis that rigorously formalizes the concepts of length, area, volume, and integration for very general sets and functions.
• E. Hausdorff measure
  Hausdorff measure is a fundamental concept in geometric measure theory that generalizes the notion of length, area, and volume to sets with arbitrary fractal or irregular structure in metric spaces.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: notableMeasure
Context triple: [measure theory, notableMeasure, Lebesgue measure]

• A. notableCriterion
  Indicates that something is distinguished or recognized based on a particular standard, measure, or qualifying condition.
• B. notableFor
  Indicates that an entity is especially recognized or distinguished for a particular quality, achievement, characteristic, or role.
• C. notableDuring
  Indicates that something was especially prominent, active, or significant during a particular time period or event.
• D. notableSingle
  Indicates that the subject is particularly recognized or distinguished for one specific, individual instance (such as a single work, event, or achievement).
• E. notableStandard chosen
  Indicates that one entity is a widely recognized or influential standard that the other entity is associated with or exemplifies.
• F. None of above.