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: Feller system (adapted) | Statement: [Western Walloon, usedWithOrthography, Feller system (adapted)]

Target entity: Feller system (adapted)
Context triple: [Western Walloon, usedWithOrthography, Feller system (adapted)]

• A. 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.
• B. Freidlin–Wentzell theory
  Freidlin–Wentzell theory is a mathematical framework in probability that analyzes the behavior of stochastic dynamical systems under small random perturbations using large deviation principles.
• C. 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.
• 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. Chapman–Kolmogorov equation
  The Chapman–Kolmogorov equation is a fundamental relation in the theory of stochastic processes that expresses how transition probabilities of a Markov process over longer time intervals can be obtained by integrating over intermediate states.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Feller system (adapted)
Target entity description: The adapted Feller system is a modified phonetic transcription scheme tailored to represent the sounds of Western Walloon accurately in written form.

• A. 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.
• B. Freidlin–Wentzell theory
  Freidlin–Wentzell theory is a mathematical framework in probability that analyzes the behavior of stochastic dynamical systems under small random perturbations using large deviation principles.
• C. 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.
• 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. Chapman–Kolmogorov equation
  The Chapman–Kolmogorov equation is a fundamental relation in the theory of stochastic processes that expresses how transition probabilities of a Markov process over longer time intervals can be obtained by integrating over intermediate states.
• F. None of above. chosen

Target predicate: usedWithOrthography
Context triple: [Western Walloon, usedWithOrthography, Feller system (adapted)]

• A. usesStandardOrthographyOf chosen
  Indicates that one entity writes or represents language according to the standard orthographic system defined for another entity.
• B. orthographicIndependence
  Indicates that one writing system or orthographic form functions independently of, and is not derived from or constrained by, another.
• C. hasOrthographicConvention
  Indicates that there is a specific writing or spelling convention that governs how something is represented in written form.
• D. hasOrthographicReform
  Indicates that an entity has undergone or is associated with a change or standardization in its writing system or spelling conventions.
• E. hasOrthographyStatus
  Indicates the orthographic status or condition of how something is written or spelled, such as its conformity to a particular writing system or standard.
• F. None of above.