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: Weyl fractional derivative | Statement: [Weyl fractional integral, hasInverseRelationWith, Weyl fractional derivative]

Target entity: Weyl fractional derivative
Context triple: [Weyl fractional integral, hasInverseRelationWith, Weyl fractional derivative]

• A. Weyl fractional integral chosen
  The Weyl fractional integral is a generalization of the classical integral to arbitrary (including non-integer) orders, defined on periodic functions or the whole real line and used in fractional calculus to model memory and hereditary properties in various systems.
• B. Hadamard fractional integral
  The Hadamard fractional integral is a generalization of the classical integral that defines fractional-order integration using logarithmic kernels, particularly suited to functions defined on multiplicative (e.g., positive real) domains.
• C. Caputo derivative
  The Caputo derivative is a commonly used definition of a fractional derivative that modifies the Riemann–Liouville approach to allow for more physically meaningful initial conditions in differential equations.
• D. Riemann–Liouville integral
  The Riemann–Liouville integral is a fundamental operator in fractional calculus that generalizes the concept of an n-fold repeated integral to non-integer (fractional) orders.
• E. Wirtinger derivatives
  Wirtinger derivatives are complex differential operators that treat a complex variable and its conjugate as independent, providing a convenient formalism for expressing and analyzing holomorphicity and the Cauchy–Riemann equations.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: hasInverseRelationWith
Context triple: [Weyl fractional integral, hasInverseRelationWith, Weyl fractional derivative]

• A. hasRelation
  Indicates that there exists some specified relationship or association between two entities.
• B. isInverseOf chosen
  Indicates that one relation reverses the direction of another, so that if the original relates A to B, its inverse relates B to A.
• C. hasReverse
  Indicates that one entity serves as the inverse or opposite counterpart of another entity in a given relationship or operation.
• D. hasPrimitiveRelation
  Indicates a basic, direct relationship between entities that is not derived from or dependent on any other relations.
• E. hasRelationships
  Indicates that an entity is connected to one or more other entities through specified types of relationships.
• F. None of above.