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: Brownian motion | Statement: [Itô calculus, coreObject, Brownian motion]

Target entity: Brownian motion
Context triple: [Itô calculus, coreObject, Brownian motion]

• A. Brownian motion chosen
  Brownian motion is the random, jittery movement of microscopic particles suspended in a fluid, whose explanation provided key evidence for the existence of atoms and the molecular nature of matter.
• B. Ornstein–Uhlenbeck process
  The Ornstein–Uhlenbeck process is a continuous-time stochastic process that models mean-reverting random motion, widely used in physics and quantitative finance to describe systems fluctuating around a long-term equilibrium.
• C. Einstein–Smoluchowski relation
  The Einstein–Smoluchowski relation is a fundamental equation in statistical physics that links the diffusion coefficient of particles undergoing Brownian motion to their mobility and thermal energy.
• D. 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.
• E. Stokes–Einstein relation
  The Stokes–Einstein relation is a fundamental equation in statistical physics that links the diffusion coefficient of a particle in a fluid to its size, the fluid’s viscosity, and temperature.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: coreObject
Context triple: [Itô calculus, coreObject, Brownian motion]

• A. notableObject chosen
  Indicates that an entity is especially significant, famous, or noteworthy as an object in a given context or domain.
• B. centerCoreReusable
  Indicates that the central core component of a system or structure is designed to be reused rather than discarded after a single use.
• C. coreIdea
  Indicates the central concept or primary message that underlies or unifies something, such as a text, argument, or work.
• D. coreCommand
  Indicates that one entity serves as the primary or central command or control authority over another entity or process.
• E. corePromise
  Indicates the primary commitment or central obligation that one party is bound to fulfill within an agreement or relationship.
• F. None of above.