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: Heron’s method for square roots | Statement: [Hero of Alexandria, notableConcept, Heron’s method for square roots]

Target entity: Heron’s method for square roots
Context triple: [Hero of Alexandria, notableConcept, Heron’s method for square roots]

• A. Halley’s method for solving equations
  Halley’s method for solving equations is an iterative numerical algorithm, related to and faster-converging than Newton’s method, used to find approximate roots of equations.
• B. Newton’s method
  Newton’s method is an iterative numerical technique used to find successively better approximations to the roots of a real-valued function.
• C. chakravala method for solving indeterminate equations
  The chakravala method for solving indeterminate equations is an ancient Indian cyclic algorithm, notably used to solve Pell-type quadratic Diophantine equations with remarkable efficiency and generality.
• D. Mathematical Tables and Other Aids to Computation
  Mathematical Tables and Other Aids to Computation was the original title of a pioneering journal devoted to numerical analysis, computational methods, and mathematical tables, later continued under the name Mathematics of Computation.
• E. Barlow's Tables of Squares, Cubes, Square Roots, Cube Roots, Reciprocals, and Logarithms
  Barlow's Tables of Squares, Cubes, Square Roots, Cube Roots, Reciprocals, and Logarithms is a classic 19th-century mathematical reference work providing extensive numerical tables used for calculation before the advent of electronic computers.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Heron’s method for square roots
Target entity description: Heron’s method for square roots is an ancient iterative algorithm, attributed to Hero of Alexandria, that rapidly approximates the square root of a number using successive averages.

• A. Halley’s method for solving equations
  Halley’s method for solving equations is an iterative numerical algorithm, related to and faster-converging than Newton’s method, used to find approximate roots of equations.
• B. Newton’s method
  Newton’s method is an iterative numerical technique used to find successively better approximations to the roots of a real-valued function.
• C. chakravala method for solving indeterminate equations
  The chakravala method for solving indeterminate equations is an ancient Indian cyclic algorithm, notably used to solve Pell-type quadratic Diophantine equations with remarkable efficiency and generality.
• D. Mathematical Tables and Other Aids to Computation
  Mathematical Tables and Other Aids to Computation was the original title of a pioneering journal devoted to numerical analysis, computational methods, and mathematical tables, later continued under the name Mathematics of Computation.
• E. Barlow's Tables of Squares, Cubes, Square Roots, Cube Roots, Reciprocals, and Logarithms
  Barlow's Tables of Squares, Cubes, Square Roots, Cube Roots, Reciprocals, and Logarithms is a classic 19th-century mathematical reference work providing extensive numerical tables used for calculation before the advent of electronic computers.
• F. None of above. chosen