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: Navier–Stokes existence and smoothness problem | Statement: [Navier–Stokes equations, relatedProblem, Navier–Stokes existence and smoothness problem]

Target entity: Navier–Stokes existence and smoothness problem
Context triple: [Navier–Stokes equations, relatedProblem, Navier–Stokes existence and smoothness problem]

• A. Navier–Stokes equations chosen
  The Navier–Stokes equations are fundamental partial differential equations in fluid mechanics that describe how the velocity field of a fluid evolves under forces like pressure and viscosity.
• B. Fluid Dynamics Prize
  The Fluid Dynamics Prize is a prestigious annual award recognizing outstanding contributions to the field of fluid dynamics.
• C. Nash embedding theorem
  The Nash embedding theorem is a fundamental result in differential geometry that shows any Riemannian manifold can be isometrically embedded into some Euclidean space, thereby realizing abstract curved spaces as concrete subsets of standard Euclidean space.
• D. Feynman–Kac formula
  The Feynman–Kac formula is a fundamental result connecting solutions of certain partial differential equations with expectations over stochastic processes, forming a bridge between quantum mechanics, probability theory, and mathematical finance.
• E. Feynman sprinkler problem
  The Feynman sprinkler problem is a famous physics thought experiment that examines how a submerged, water-aspirating sprinkler would move, highlighting subtleties in fluid dynamics and momentum conservation.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: relatedProblem
Context triple: [Navier–Stokes equations, relatedProblem, Navier–Stokes existence and smoothness problem]

• A. relatedCase
  Indicates that one legal case is connected or associated with another case, such as through shared facts, parties, issues, or procedural history.
• B. relatedTo chosen
  Indicates a general, non-specific relationship or association exists between two entities.
• C. relatedCode
  Indicates that one code is associated with, linked to, or otherwise contextually connected to another code.
• D. relatedField
  Indicates that one field, topic, or area of study is connected or relevant to another in subject matter or application.
• E. associatedHeir
  Indicates that one entity is designated or recognized as the heir connected to, or inheriting from, another entity.
• F. None of above.