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: Abel’s theorem | Statement: [Abel summation, relatedTo, Abel’s theorem]

Target entity: Abel’s theorem
Context triple: [Abel summation, relatedTo, Abel’s theorem]

• A. 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.
• B. Picard theorem
  Picard theorem is a fundamental result in complex analysis stating that entire non-constant functions take on all possible complex values, with at most one exception.
• C. Limb’s Theorem
  Limb’s Theorem is a contemporary dance work by choreographer William Forsythe that exemplifies his deconstructive, concept-driven approach to ballet and movement.
• D. Abel–Ruffini theorem
  The Abel–Ruffini theorem is a fundamental result in algebra proving that there is no general solution in radicals for polynomial equations of degree five or higher.
• E. Weierstrass preparation theorem
  The Weierstrass preparation theorem is a fundamental result in complex analysis and analytic geometry that locally expresses analytic functions near a zero as a product of a polynomial and a unit, enabling a power-series analogue of factorization.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Abel’s theorem
Target entity description: Abel’s theorem is a result in mathematical analysis that relates the behavior of power series at the boundary of their interval of convergence to the limit of their coefficients, providing conditions under which the sum of the series converges to a given value.

• A. 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.
• B. Picard theorem
  Picard theorem is a fundamental result in complex analysis stating that entire non-constant functions take on all possible complex values, with at most one exception.
• C. Limb’s Theorem
  Limb’s Theorem is a contemporary dance work by choreographer William Forsythe that exemplifies his deconstructive, concept-driven approach to ballet and movement.
• D. Abel–Ruffini theorem
  The Abel–Ruffini theorem is a fundamental result in algebra proving that there is no general solution in radicals for polynomial equations of degree five or higher.
• E. Weierstrass preparation theorem
  The Weierstrass preparation theorem is a fundamental result in complex analysis and analytic geometry that locally expresses analytic functions near a zero as a product of a polynomial and a unit, enabling a power-series analogue of factorization.
• F. None of above. chosen