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: William Rowan Hamilton | Statement: [Lectures on Quaternions, author, William Rowan Hamilton]

Target entity: William Rowan Hamilton
Context triple: [Lectures on Quaternions, author, William Rowan Hamilton]

• A. William Rowan Hamilton chosen
  William Rowan Hamilton was a 19th-century Irish mathematician and physicist best known for developing quaternions and reformulating classical mechanics in what is now called Hamiltonian mechanics.
• B. William Kingdon Clifford
  William Kingdon Clifford was a 19th-century English mathematician and philosopher known for his work on geometric algebra and for the philosophical concept of "Clifford's principle" about the ethics of belief.
• C. Olinde Rodrigues
  Olinde Rodrigues was a 19th-century French mathematician, banker, and social reformer known both for his work on Rodrigues' rotation formula and for being a prominent advocate of Saint-Simonian socialist ideas.
• D. William Cayley
  William Cayley was a notable figure after whom Mount Cayley in British Columbia, Canada, was named, likely reflecting his prominence in regional or national history.
• E. Arthur Cayley
  Arthur Cayley was a 19th-century British mathematician renowned for his foundational work in matrix theory and abstract algebra.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.