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: Fokker–Planck equation | Statement: [Adriaan Fokker, hasNameInFormula, Fokker–Planck equation]

Target entity: Fokker–Planck equation
Context triple: [Adriaan Fokker, hasNameInFormula, Fokker–Planck equation]

• A. Fokker–Planck equation chosen
  The Fokker–Planck equation is a partial differential equation that describes the time evolution of the probability density function of a stochastic (random) process, such as Brownian motion.
• B. Boltzmann equation
  The Boltzmann equation is a fundamental kinetic theory equation that describes the statistical behavior and time evolution of a dilute gas or particle distribution in phase space due to streaming and collisions.
• C. Kolmogorov backward equation
  The Kolmogorov backward equation is a fundamental partial differential equation in stochastic processes that characterizes the time evolution of expected values of functionals of Markov processes, complementary to the Fokker–Planck (forward) equation.
• 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. Boltzmann–BGK equation
  The Boltzmann–BGK equation is a simplified kinetic model that replaces the complex collision term of the Boltzmann equation with a single relaxation-time approximation to describe gas particle dynamics.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: hasNameInFormula
Context triple: [Adriaan Fokker, hasNameInFormula, Fokker–Planck equation]

• A. hasNameFunction
  Indicates that an entity is associated with a function whose purpose is to provide or determine its name.
• B. hasProperName
  Indicates that an entity is associated with a specific proper name used to uniquely identify it.
• C. hasNameInCaseTitle
  Indicates that a legal case’s title explicitly contains the name of the referenced entity.
• D. hasNameInEvent
  Indicates that an entity is associated with a specific name or label within the context of a particular event.
• E. hasFieldName
  Indicates that one entity is associated with, or identified by, a specific field name in a data structure or schema.
• F. None of above. chosen