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: Boltzmann equation | Statement: [Ludwig Boltzmann, hasEquationNamedAfter, Boltzmann equation]

Target entity: Boltzmann equation
Context triple: [Ludwig Boltzmann, hasEquationNamedAfter, Boltzmann equation]

• A. Boltzmann equation chosen
  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.
• B. Fokker–Planck equation
  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.
• C. Maxwell–Boltzmann statistics
  Maxwell–Boltzmann statistics is a classical statistical framework in physics that describes the distribution of speeds or energies among distinguishable, non-quantum particles in thermal equilibrium.
• D. Boltzmann distribution
  The Boltzmann distribution is a fundamental probability distribution in statistical mechanics that describes how particles or states are populated over different energy levels at thermal equilibrium.
• E. Bose–Einstein statistics
  Bose–Einstein statistics is a quantum statistical framework that describes the distribution and collective behavior of indistinguishable bosons, underpinning phenomena such as Bose–Einstein condensation.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: hasEquationNamedAfter
Context triple: [Ludwig Boltzmann, hasEquationNamedAfter, Boltzmann equation]

• A. hasEquivalent
  Indicates that two entities are considered equal in value, meaning, or function within a given context.
• B. namedAfter chosen
  Indicates that one entity has been given its name in honor of, or derived from, another entity.
• C. followsNameOf
  Indicates that one entity’s name comes immediately after another entity’s name in a specified ordering or sequence.
• D. coNamedWith
  Indicates that two or more entities share the same name or are designated by an identical label.
• E. isNamedEntity
  Indicates that the subject is recognized as a named entity, such as a specific person, organization, location, or other proper noun.
• F. None of above.