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: Bernstein inequalities | Statement: [Sergei Natanovich Bernstein, notableConcept, Bernstein inequalities]

Target entity: Bernstein inequalities
Context triple: [Sergei Natanovich Bernstein, notableConcept, Bernstein inequalities]

• A. Bernstein inequalities chosen
  Bernstein inequalities are fundamental results in approximation theory and probability that provide bounds on the derivatives or deviations of functions and random variables under certain smoothness or moment conditions.
• B. Markov brothers' inequalities
  Markov brothers' inequalities are classical results in approximation theory that provide upper bounds on the derivatives of polynomials in terms of their degree and maximum absolute value on an interval.
• C. Bernstein polynomials
  Bernstein polynomials are a family of polynomials used in approximation theory that provide a constructive proof of the Weierstrass approximation theorem by uniformly approximating continuous functions on a closed interval.
• D. Friedrichs inequality
  Friedrichs inequality is a fundamental result in functional analysis and partial differential equations that provides bounds on the norms of functions in terms of their derivatives, playing a key role in the theory of Sobolev spaces and boundary value problems.
• E. Chebyshev inequalities
  Chebyshev inequalities are probabilistic bounds that limit how much a random variable’s values can deviate from its mean in terms of its variance.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.