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: Chayes–McKellar–Winn theorem | Statement: [Danica McKellar, coAuthorOf, Chayes–McKellar–Winn theorem]

Target entity: Chayes–McKellar–Winn theorem
Context triple: [Danica McKellar, coAuthorOf, Chayes–McKellar–Winn theorem]

• A. Szekeres–Lindström theorem
  The Szekeres–Lindström theorem is a result in combinatorics that characterizes the maximum size of intersecting families of subsets, serving as a precursor to and special case of the Erdős–Ko–Rado theorem.
• B. Hales–Jewett theorem
  The Hales–Jewett theorem is a fundamental result in Ramsey theory that guarantees the existence of large monochromatic combinatorial lines in high-dimensional grids under any finite coloring.
• C. Kesten’s theorem
  Kesten’s theorem is a fundamental result in probability theory that characterizes when a random walk on a group is transient or recurrent, with deep implications for random walks on groups and percolation theory.
• D. Lieb–Mattis theorem
  The Lieb–Mattis theorem is a result in quantum many-body physics that characterizes the ordering and total spin of energy levels in certain antiferromagnetic spin systems.
• E. Hammersley–Clifford theorem
  The Hammersley–Clifford theorem is a fundamental result in probability theory and statistics that links Markov random fields with Gibbs distributions by showing that, under positivity conditions, the Markov property is equivalent to factorization over cliques of an underlying graph.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Chayes–McKellar–Winn theorem
Target entity description: The Chayes–McKellar–Winn theorem is a result in mathematical physics and statistical mechanics that provides rigorous conditions for phase transitions in certain probabilistic or lattice-based models.

• A. Szekeres–Lindström theorem
  The Szekeres–Lindström theorem is a result in combinatorics that characterizes the maximum size of intersecting families of subsets, serving as a precursor to and special case of the Erdős–Ko–Rado theorem.
• B. Hales–Jewett theorem
  The Hales–Jewett theorem is a fundamental result in Ramsey theory that guarantees the existence of large monochromatic combinatorial lines in high-dimensional grids under any finite coloring.
• C. Kesten’s theorem
  Kesten’s theorem is a fundamental result in probability theory that characterizes when a random walk on a group is transient or recurrent, with deep implications for random walks on groups and percolation theory.
• D. Lieb–Mattis theorem
  The Lieb–Mattis theorem is a result in quantum many-body physics that characterizes the ordering and total spin of energy levels in certain antiferromagnetic spin systems.
• E. Hammersley–Clifford theorem
  The Hammersley–Clifford theorem is a fundamental result in probability theory and statistics that links Markov random fields with Gibbs distributions by showing that, under positivity conditions, the Markov property is equivalent to factorization over cliques of an underlying graph.
• F. None of above. chosen