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: additive Cauchy equation | Statement: [Cauchy functional equation, alsoKnownAs, additive Cauchy equation]

Target entity: additive Cauchy equation
Context triple: [Cauchy functional equation, alsoKnownAs, additive Cauchy equation]

• A. Cauchy functional equation chosen
  The Cauchy functional equation is a fundamental equation in functional analysis and real analysis, typically of the form f(x + y) = f(x) + f(y), whose solutions characterize additive functions and illustrate the contrast between regular (e.g., continuous) and highly pathological behaviors.
• B. Cauchy–Euler equation
  The Cauchy–Euler equation is a type of linear ordinary differential equation with variable coefficients that often appears in problems with power-law or scale-invariant behavior.
• C. Cauchy’s mean value theorem
  Cauchy’s mean value theorem is a fundamental result in real analysis that generalizes the standard mean value theorem by relating the rates of change of two differentiable functions on an interval.
• D. Cauchy–Kovalevskaya theorem
  The Cauchy–Kovalevskaya theorem is a fundamental result in partial differential equations that guarantees the existence and uniqueness of analytic solutions to certain initial value problems under appropriate analyticity conditions.
• E. Ulam stability
  Ulam stability is a concept in the theory of functional equations that studies when approximate solutions imply the existence of exact solutions nearby, forming the basis of what is now called Hyers–Ulam stability.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.