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: Eliashberg equations | Statement: [Eliashberg theory, equations, Eliashberg equations]

Target entity: Eliashberg equations
Context triple: [Eliashberg theory, equations, Eliashberg equations]

• A. Eliashberg theory chosen
  Eliashberg theory is an extension of BCS superconductivity that incorporates strong-coupling and frequency-dependent effects to more accurately describe real superconducting materials.
• B. London equations
  The London equations are fundamental relations in superconductivity that describe how magnetic fields behave inside superconductors, capturing key features like the Meissner effect and zero electrical resistance.
• C. Fermi liquid theory
  Fermi liquid theory is a framework in condensed matter physics that describes how interacting fermions in a metal behave like long-lived quasiparticles with properties similar to those of a non-interacting Fermi gas.
• D. Fokker–Planck equation
  The Fokker–Planck equation is a partial differential equation that describes the time evolution of the probability density function of a stochastic (random) process, such as Brownian motion.
• E. Pippard nonlocal theory
  Pippard nonlocal theory is a refinement of superconductivity theory that introduces spatially nonlocal relations between current and electromagnetic fields to account for finite coherence length effects beyond the London model.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: equations
Context triple: [Eliashberg theory, equations, Eliashberg equations]

• A. mathematicallyExpressedBy chosen
  Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
• B. numberOfIndependentEquations
  Indicates the count of distinct, non-redundant equations that independently constrain or relate the variables in a system.
• C. commonlySolvedBy
  Indicates that a problem, task, or issue is typically addressed or resolved through a particular method, tool, or agent.
• D. mathematicallyFormulatedBy
  Indicates that something (such as a concept, model, or theory) is expressed or defined using mathematical formulations created by a particular agent.
• E. mathematicallyUses
  Indicates that one entity employs or applies another entity within a mathematical context, such as in a formula, proof, computation, or theoretical framework.
• F. None of above.