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: Wigner semicircle distribution | Statement: [Gaussian unitary ensemble, typicalEigenvalueDensity, Wigner semicircle distribution]

Target entity: Wigner semicircle distribution
Context triple: [Gaussian unitary ensemble, typicalEigenvalueDensity, Wigner semicircle distribution]

• A. Wigner semicircle law chosen
  The Wigner semicircle law is a fundamental result in random matrix theory that describes how the eigenvalues of large random symmetric (or Hermitian) matrices are distributed according to a characteristic semicircular density.
• B. Marchenko–Pastur law
  The Marchenko–Pastur law is a probability distribution that describes the asymptotic eigenvalue spectrum of large random covariance matrices in random matrix theory.
• C. Wigner surmise
  The Wigner surmise is an approximate formula in random matrix theory that describes the statistical distribution of spacings between neighboring energy levels in complex quantum systems.
• D. Tracy–Widom distribution
  The Tracy–Widom distribution is a probability distribution that describes the fluctuations of the largest eigenvalue in many classes of large random matrices and appears widely in random matrix theory and related probabilistic limit theorems.
• E. Wigner matrices
  Wigner matrices are large random symmetric (or Hermitian) matrices with independent, identically distributed entries (up to symmetry) that serve as a fundamental model in random matrix theory for studying eigenvalue statistics and universal spectral behavior.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: typicalEigenvalueDensity
Context triple: [Gaussian unitary ensemble, typicalEigenvalueDensity, Wigner semicircle distribution]

• A. jointEigenvalueDensity
  Indicates the relationship that assigns a probability density to each possible combination of eigenvalues considered jointly, rather than individually.
• B. eigenvalueStatistics chosen
  Indicates that one entity characterizes or provides information about the distribution or behavior of the eigenvalues associated with another entity.
• C. typicalRank
  Indicates the usual or most common rank or position an entity holds within a given ordering or hierarchy.
• D. areEigenfunctionsOf
  Indicates that certain functions serve as eigenfunctions corresponding to a specified operator or transformation.
• E. CPEigenstate
  Indicates that a quantum state is an eigenstate of the combined charge-conjugation and parity (CP) symmetry operator, remaining unchanged up to a phase under the CP transformation.
• F. None of above.