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: Egorov's theorem | Statement: [Dmitri Egorov, hasTheoremNamedAfter, Egorov's theorem]

Target entity: Egorov's theorem
Context triple: [Dmitri Egorov, hasTheoremNamedAfter, Egorov's theorem]

• A. Egorov's theorem chosen
  Egorov's theorem is a result in measure theory that states almost everywhere pointwise convergence of a sequence of measurable functions on a finite measure space can be made uniform on a subset of arbitrarily large measure.
• B. Vitali convergence theorem
  The Vitali convergence theorem is a result in measure theory that gives conditions under which pointwise convergence of a sequence of integrable functions implies convergence of their integrals, strengthening the dominated convergence theorem via uniform integrability.
• C. Arzelà–Ascoli theorem
  The Arzelà–Ascoli theorem is a fundamental result in analysis that characterizes the relative compactness of families of functions via uniform boundedness and equicontinuity.
• D. Stone–Weierstrass theorem
  The Stone–Weierstrass theorem is a fundamental result in functional analysis that characterizes when a subalgebra of continuous functions on a compact space is dense, thereby generalizing classical polynomial approximation results.
• E. Nikodym convergence theorem
  The Nikodym convergence theorem is a fundamental result in measure theory that generalizes the Lebesgue dominated convergence theorem by characterizing when convergence of integrals holds under weaker conditions on the dominating measures.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.