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: Euclidean spaces Rn | Statement: [Fourier inversion theorem, holdsIn, Euclidean spaces Rn]

Target entity: Euclidean spaces Rn
Context triple: [Fourier inversion theorem, holdsIn, Euclidean spaces Rn]

• A. Euclidean space chosen
  Euclidean space is the standard flat, n-dimensional geometric setting of classical geometry and vector calculus, characterized by straight lines, right angles, and the usual distance and dot product.
• B. Euclidean metric
  The Euclidean metric is the standard distance function on Euclidean space, defined by the square root of the sum of squared coordinate differences between two points.
• C. Banach–Mazur distance
  The Banach–Mazur distance is a numerical measure in functional analysis that quantifies how "far apart" two finite-dimensional normed vector spaces are up to linear isomorphism.
• D. Neue Geometrie des Raumes
  Neue Geometrie des Raumes is a foundational 19th-century mathematical work by Julius Plücker that develops projective and line geometry in three-dimensional space.
• E. Hilbert spaces
  Hilbert spaces are complete inner product spaces that provide the fundamental framework for modern functional analysis and many areas of mathematical physics.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.