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: Department of Applied Physics and Applied Mathematics, Columbia University | Statement: [Department of Chemical Engineering, Columbia University, collaboratesWith, Department of Applied Physics and Applied Mathematics, Columbia University]

Target entity: Department of Applied Physics and Applied Mathematics, Columbia University
Context triple: [Department of Chemical Engineering, Columbia University, collaboratesWith, Department of Applied Physics and Applied Mathematics, Columbia University]

• A. Columbia University Department of Physics
  The Columbia University Department of Physics is a leading academic department renowned for its pioneering research and education in fundamental and applied physics.
• B. Yale Department of Applied Physics
  The Yale Department of Applied Physics is an academic department at Yale University focused on research and education at the intersection of physics, engineering, and technology, including areas such as quantum science, photonics, and materials.
• C. Department of Physics at the City College of New York
  The Department of Physics at the City College of New York is an academic unit offering undergraduate and graduate programs, research opportunities, and instruction in physics and related fields within the college’s Division of Science.
• D. Department of Applied Physics
  The Department of Applied Physics is a faculty unit at Eindhoven University of Technology focused on research and education in the physical sciences and their technological applications.
• E. Department of Applied Physics
  The Department of Applied Physics is an academic unit at Waseda University focused on research and education that bridge fundamental physics with practical technological applications.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Department of Applied Physics and Applied Mathematics, Columbia University
Target entity description: The Department of Applied Physics and Applied Mathematics at Columbia University is an academic unit that focuses on research and education in areas such as applied physics, materials science, and advanced mathematical methods for science and engineering.

• A. Columbia University Department of Physics
  The Columbia University Department of Physics is a leading academic department renowned for its pioneering research and education in fundamental and applied physics.
• B. Yale Department of Applied Physics
  The Yale Department of Applied Physics is an academic department at Yale University focused on research and education at the intersection of physics, engineering, and technology, including areas such as quantum science, photonics, and materials.
• C. Department of Physics at the City College of New York
  The Department of Physics at the City College of New York is an academic unit offering undergraduate and graduate programs, research opportunities, and instruction in physics and related fields within the college’s Division of Science.
• D. Department of Applied Physics
  The Department of Applied Physics is an academic unit at Waseda University focused on research and education that bridge fundamental physics with practical technological applications.
• E. Department of Applied Physics
  The Department of Applied Physics at the University of Tokyo is a leading academic unit focused on cutting-edge research and education in physics-based science and engineering, spanning fields from quantum materials to advanced device technologies.
• F. None of above. chosen