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: arithmetic–geometric mean | Statement: [Gauss’s constant, definedVia, arithmetic–geometric mean]

Target entity: arithmetic–geometric mean
Context triple: [Gauss’s constant, definedVia, arithmetic–geometric mean]

• A. arithmetic–geometric mean identities chosen
  Arithmetic–geometric mean identities are a collection of formulas and relationships that express various mathematical constants and special functions in terms of the arithmetic–geometric mean of two numbers.
• B. Gauss’s constant
  Gauss’s constant is a mathematical constant arising in number theory and complex analysis, particularly in connection with the lemniscate and elliptic functions.
• C. gauss
  The gauss is a unit of magnetic flux density in the centimeter–gram–second (CGS) system, commonly used in physics to measure the strength of magnetic fields.
• D. Euler–Maclaurin summation formula
  The Euler–Maclaurin summation formula is a fundamental result in analysis that connects sums and integrals, providing powerful asymptotic expansions and error estimates for approximating series by integrals.
• E. Bernoulli numbers
  Bernoulli numbers are a sequence of rational numbers that play a central role in number theory and analysis, especially in formulas for sums of powers of integers and in the study of special functions like the Riemann zeta function.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: definedVia
Context triple: [Gauss’s constant, definedVia, arithmetic–geometric mean]

• A. defined
  Indicates that one entity specifies, explains, or establishes the meaning, scope, or identity of another entity.
• B. areDefinedIn
  Indicates that the referenced entities are specified, described, or formally established within a particular source, context, or scope.
• C. definedOn
  Indicates that something (such as a function, rule, or structure) is specified to apply or be valid over a particular domain, set, or context.
• D. determinedBy
  Indicates that one entity’s state, value, or outcome is decided, controlled, or fully specified by another entity.
• E. endDefinedBy
  Indicates that the termination or boundary of one entity is determined, specified, or constrained by another entity.
• F. None of above. chosen