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–Kowalevski theorem | Statement: [Augustin-Louis Cauchy, knownFor, Cauchy–Kowalevski theorem]

Target entity: Cauchy–Kowalevski theorem
Context triple: [Augustin-Louis Cauchy, knownFor, Cauchy–Kowalevski theorem]

• A. Cauchy–Kovalevskaya theorem chosen
  The Cauchy–Kovalevskaya theorem is a fundamental result in partial differential equations that guarantees the existence and uniqueness of analytic solutions to certain initial value problems under appropriate analyticity conditions.
• B. Peano existence theorem
  The Peano existence theorem is a fundamental result in the theory of ordinary differential equations that guarantees the existence (but not necessarily uniqueness) of solutions under mild continuity conditions on the right-hand side.
• C. local existence and uniqueness theorem
  The local existence and uniqueness theorem is a fundamental result in differential equations that guarantees, under suitable conditions, a single solution passing through a given initial point, valid in some neighborhood of that point.
• D. 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.
• E. Théorie des fonctions analytiques
  Théorie des fonctions analytiques is a foundational mathematical treatise by Joseph-Louis Lagrange that systematically develops calculus using power series and analytic functions instead of geometric or infinitesimal arguments.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.