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 law | Statement: [Gaussian orthogonal ensemble, eigenvalueDensity, Wigner semicircle law]

Target entity: Wigner semicircle law
Context triple: [Gaussian orthogonal ensemble, eigenvalueDensity, Wigner semicircle law]

• 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 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.
• D. 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.
• E. 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.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: eigenvalueDensity
Context triple: [Gaussian orthogonal ensemble, eigenvalueDensity, Wigner semicircle law]

• A. areEigenfunctionsOf
  Indicates that certain functions serve as eigenfunctions corresponding to a specified operator or transformation.
• B. spectralProperty
  Indicates a relationship where an entity possesses or is characterized by a specific spectral feature, measurement, or behavior (e.g., in its frequency, wavelength, or energy spectrum).
• C. spectralMeasure
  Indicates a relationship where a measure assigns values to sets in a spectrum, typically capturing how a quantity (like probability or mass) is distributed across spectral components.
• D. hasProbabilityDensityShape chosen
  Indicates that one entity exhibits, is characterized by, or is associated with a particular shape or form of a probability density function.
• 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.