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: Meditationes Algebraicae | Statement: [Waring's problem, statedInWork, Meditationes Algebraicae]

Target entity: Meditationes Algebraicae
Context triple: [Waring's problem, statedInWork, Meditationes Algebraicae]

• A. Treatise of Algebra
  Treatise of Algebra is an 18th-century mathematical work by Scottish mathematician Colin Maclaurin that systematically develops algebraic theory and its applications.
• B. Treatise on Demonstration of Problems of Algebra
  Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
• C. Arithmetica Infinitorum
  Arithmetica Infinitorum is a 1656 mathematical treatise by John Wallis that systematically develops methods of infinitesimal calculus and infinite series, laying groundwork for later advances in analysis.
• D. Liber Quadratorum
  Liber Quadratorum is a 13th-century mathematical treatise by Leonardo Fibonacci that focuses on number theory, particularly problems involving squares and Diophantine equations.
• E. De institutione arithmetica
  De institutione arithmetica is a foundational late antique Latin treatise on arithmetic that transmitted and systematized ancient Greek number theory for the medieval West.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Meditationes Algebraicae
Target entity description: Meditationes Algebraicae is an 18th-century mathematical treatise by Edward Waring that introduced several influential ideas in number theory and algebra, including the formulation of Waring's problem.

• A. Treatise of Algebra
  Treatise of Algebra is an 18th-century mathematical work by Scottish mathematician Colin Maclaurin that systematically develops algebraic theory and its applications.
• B. Treatise on Demonstration of Problems of Algebra
  Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
• C. Arithmetica Infinitorum
  Arithmetica Infinitorum is a 1656 mathematical treatise by John Wallis that systematically develops methods of infinitesimal calculus and infinite series, laying groundwork for later advances in analysis.
• D. Liber Quadratorum
  Liber Quadratorum is a 13th-century mathematical treatise by Leonardo Fibonacci that focuses on number theory, particularly problems involving squares and Diophantine equations.
• E. De institutione arithmetica
  De institutione arithmetica is a foundational late antique Latin treatise on arithmetic that transmitted and systematized ancient Greek number theory for the medieval West.
• F. None of above. chosen

Target predicate: statedInWork
Context triple: [Waring's problem, statedInWork, Meditationes Algebraicae]

• A. settingOfWorkAppearsIn
  Indicates that a particular place, time, or environment serves as the setting within which a given creative work’s events or narrative occur.
• B. discussedInWorkOf
  Indicates that a subject is examined, treated, or talked about within a particular work or publication.
• C. discoveredInWork chosen
  Indicates that something (such as an idea, object, or fact) was found, identified, or revealed within a particular work (such as a book, article, or artwork).
• D. establishedInWork
  Indicates that something (such as a concept, character, organization, or rule) is first introduced, defined, or formally created within a particular work (e.g., a book, film, or other creative or scholarly work).
• E. basedOnWorkAppearedIn
  Indicates that something is derived from, adapted from, or otherwise created using a work that appeared in a specified source or publication.
• F. None of above.