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: Cauchy convergence criterion | Statement: [Augustin-Louis Cauchy, notableFor, Cauchy convergence criterion]

Target entity: Cauchy convergence criterion
Context triple: [Augustin-Louis Cauchy, notableFor, Cauchy convergence criterion]

• A. Cauchy convergence criterion chosen
  The Cauchy convergence criterion is a fundamental concept in mathematical analysis that characterizes convergence of sequences (and series) by requiring that their terms become arbitrarily close to each other beyond some index.
• B. Cauchy sequence
  A Cauchy sequence is a sequence whose terms become arbitrarily close to each other as the sequence progresses, providing a fundamental criterion for convergence in metric and normed spaces.
• C. Cauchy condensation test
  The Cauchy condensation test is a convergence criterion in mathematical analysis that determines whether an infinite series with positive, nonincreasing terms converges by comparing it to a related series formed by powers of two.
• D. Weierstrass M-test
  The Weierstrass M-test is a criterion in real and complex analysis that provides a sufficient condition for the uniform convergence of a series of functions by comparing it to a convergent series of bounding constants.
• E. Cauchy–Hadamard theorem
  The Cauchy–Hadamard theorem is a fundamental result in complex analysis that characterizes the radius of convergence of a power series in terms of the growth rate of its coefficients.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.