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: Jacobi β-ensembles | Statement: [Dyson index β, usedToLabel, Jacobi β-ensembles]

Target entity: Jacobi β-ensembles
Context triple: [Dyson index β, usedToLabel, Jacobi β-ensembles]

• A. 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.
• B. 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.
• C. Jacobi ensemble chosen
  The Jacobi ensemble is a family of random matrix models whose eigenvalue distributions are supported on a finite interval and are closely connected to classical orthogonal polynomials and beta-type probability measures.
• D. 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.
• 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.