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: Tracy–Widom distribution of type β = 4 for largest eigenvalue | Statement: [Gaussian symplectic ensemble, hasEdgeStatistics, Tracy–Widom distribution of type β = 4 for largest eigenvalue]

Target entity: Tracy–Widom distribution of type β = 4 for largest eigenvalue
Context triple: [Gaussian symplectic ensemble, hasEdgeStatistics, Tracy–Widom distribution of type β = 4 for largest eigenvalue]

• A. Tracy–Widom distribution chosen
  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.
• B. Airy kernel at the soft edge
  The Airy kernel at the soft edge is a universal correlation kernel describing the local eigenvalue statistics near the largest eigenvalues (soft edge) of large random matrices in ensembles such as the Gaussian orthogonal ensemble.
• C. Laguerre β-ensembles
  Laguerre β-ensembles are families of random matrix models generalizing the classical Laguerre (Wishart) ensembles to arbitrary Dyson index β, used to study eigenvalue statistics in mathematical physics and probability theory.
• D. Gaussian β-ensembles
  Gaussian β-ensembles are families of random matrix models in which eigenvalue statistics depend continuously on a parameter β that governs the strength of eigenvalue repulsion and interpolates between classical matrix ensembles.
• E. Wigner semicircle law
  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.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: hasEdgeStatistics
Context triple: [Gaussian symplectic ensemble, hasEdgeStatistics, Tracy–Widom distribution of type β = 4 for largest eigenvalue]

• A. hasEdgeCount
  Indicates that there is a specified number of edges associated with an entity, such as a graph or geometric shape.
• B. hasStatistics chosen
  Indicates that an entity is associated with one or more statistical measures, records, or summaries describing its quantitative properties or performance.
• C. hasEdgeConnectivity
  Indicates that there exists a connection or link (such as a graph edge or network link) between two entities.
• D. hasEdge
  Indicates that there exists a direct connection or link (an edge) between two entities in a graph or network.
• E. hasStatisticsPage
  Indicates that an entity is associated with a dedicated page or resource presenting statistical information about it.
• F. None of above.