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: Schwarz lemma without the condition f(0) = 0 via Möbius transformations | Statement: [Schwarz lemma, hasVariant, Schwarz lemma without the condition f(0) = 0 via Möbius transformations]

Target entity: Schwarz lemma without the condition f(0) = 0 via Möbius transformations
Context triple: [Schwarz lemma, hasVariant, Schwarz lemma without the condition f(0) = 0 via Möbius transformations]

• A. Schwarz lemma chosen
  Schwarz lemma is a fundamental result in complex analysis that constrains holomorphic self-maps of the unit disk, particularly bounding their magnitude and derivative at the origin.
• B. Rouché's theorem
  Rouché's theorem is a result in complex analysis that provides conditions under which two holomorphic functions have the same number of zeros inside a given contour.
• C. Koebe quarter theorem
  The Koebe quarter theorem is a fundamental result in complex analysis stating that any univalent holomorphic function on the unit disk maps it onto a domain containing a disk of radius one quarter, providing a sharp bound on the size of the image.
• D. Hadamard three-circle theorem
  The Hadamard three-circle theorem is a result in complex analysis that describes how the maximum modulus of a holomorphic function behaves logarithmically between three concentric circles in the complex plane.
• E. Lempert function on convex domains
  The Lempert function on convex domains is a complex-analytic invariant that coincides with the Kobayashi distance and provides an extremal characterization of holomorphic mappings between convex domains in several complex variables.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.