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: Gamma function | Statement: [Riemann–Liouville integral, usesFunction, Gamma function]

Target entity: Gamma function
Context triple: [Riemann–Liouville integral, usesFunction, Gamma function]

• A. Gamma function chosen
  The Gamma function is a fundamental extension of the factorial function to complex and real non-integer arguments, widely used in analysis, probability, and mathematical physics.
• B. Riemann–Siegel theta function
  The Riemann–Siegel theta function is a special function that appears in the study of the Riemann zeta function, used to express its values on the critical line in a form suitable for high-precision numerical computation.
• C. Riemann zeta function
  The Riemann zeta function is a complex-valued function central to analytic number theory, whose properties—especially the distribution of its zeros—are deeply connected to the distribution of prime numbers.
• D. 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.
• E. Pochhammer symbol
  The Pochhammer symbol is a mathematical notation representing rising factorials, widely used in series expansions, special functions, and hypergeometric functions.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: usesFunction
Context triple: [Riemann–Liouville integral, usesFunction, Gamma function]

• A. hadFunction
  Indicates that an entity previously served or fulfilled a particular role, purpose, or function.
• B. usesMethods
  Indicates that one entity employs, applies, or relies on specific methods or techniques to perform an action or achieve a result.
• C. possibleFunction
  Indicates that an entity may serve, or is capable of serving, a particular function or role, without asserting that it actually does so.
• D. notFunction
  Indicates that the specified entity does not serve as a function or is not used in a functional role within the given context.
• E. hasPrimaryFunction
  Indicates that one entity serves as the main or principal function or role of another entity.
• F. None of above. chosen