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: Dirichlet's principle | Statement: [Dirichlet, knownFor, Dirichlet's principle]

Target entity: Dirichlet's principle
Context triple: [Dirichlet, knownFor, Dirichlet's principle]

• A. Dirichlet principle chosen
  The Dirichlet principle is a foundational concept in potential theory and the calculus of variations that asserts certain boundary value problems can be solved by finding a function minimizing an associated energy integral.
• B. Dirichlet
  Dirichlet was a 19th-century German mathematician renowned for foundational contributions to number theory and mathematical analysis, including Dirichlet's theorem on arithmetic progressions and the formalization of the concept of a function.
• C. Bohr–Courant theorem
  The Bohr–Courant theorem is a classical result in analytic number theory describing the value distribution of Dirichlet series, particularly the Riemann zeta function, and serves as a precursor to modern universality theorems such as Voronin’s.
• D. Dirichlet's theorem on arithmetic progressions
  Dirichlet's theorem on arithmetic progressions is a fundamental result in number theory stating that any arithmetic progression with first term and difference coprime contains infinitely many prime numbers.
• E. Hausdorff maximal principle
  The Hausdorff maximal principle is a foundational result in set theory and order theory stating that every partially ordered set contains a maximal totally ordered subset (a maximal chain), and it is equivalent to the axiom of choice.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.