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: Hurwitz's theorem | Statement: [Montel's theorem, relatedTo, Hurwitz's theorem]

Target entity: Hurwitz's theorem
Context triple: [Montel's theorem, relatedTo, Hurwitz's theorem]

• A. Hurwitz theorem chosen
  Hurwitz theorem is a fundamental result in Diophantine approximation that gives an optimal bound on how well any irrational real number can be approximated by infinitely many rational numbers.
• B. Hermite–Minkowski theorem
  The Hermite–Minkowski theorem is a fundamental result in algebraic number theory that gives a finiteness bound on the number of number fields of a given degree and discriminant.
• C. Hurwitz determinants
  Hurwitz determinants are specific determinants constructed from a polynomial’s coefficients that are used to test whether all roots of the polynomial lie in the left half of the complex plane, thereby assessing system stability.
• D. Hurwitz
  Hurwitz is a surname of German and Ashkenazi Jewish origin borne by various notable individuals across fields such as mathematics, music, and law.
• E. Kronecker–Weber theorem
  The Kronecker–Weber theorem is a fundamental result in algebraic number theory stating that every finite abelian extension of the rational numbers is contained in a cyclotomic field generated by roots of unity.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.