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: complex Stone–Weierstrass theorem | Statement: [Stone–Weierstrass theorem, hasVariant, complex Stone–Weierstrass theorem]

Target entity: complex Stone–Weierstrass theorem
Context triple: [Stone–Weierstrass theorem, hasVariant, complex Stone–Weierstrass theorem]

• A. Stone–Weierstrass theorem chosen
  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.
• B. Weierstrass approximation theorem
  The Weierstrass approximation theorem is a fundamental result in real analysis stating that any continuous function on a closed interval can be uniformly approximated by polynomials.
• C. Mergelyan's theorem
  Mergelyan's theorem is a fundamental result in complex analysis stating that every function continuous on a compact subset of the complex plane with connected complement and holomorphic in its interior can be uniformly approximated by polynomials.
• D. Runge approximation theorem
  The Runge approximation theorem is a fundamental result in complex analysis stating that holomorphic functions on certain domains can be uniformly approximated by rational functions with poles outside those domains.
• E. Banach–Stone theorem
  The Banach–Stone theorem is a fundamental result in functional analysis that characterizes compact Hausdorff spaces via isometric isomorphisms between their spaces of continuous real- or complex-valued functions.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.