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: Yang–Yang equations | Statement: [Lieb–Liniger model, hasThermodynamicDescription, Yang–Yang equations]

Target entity: Yang–Yang equations
Context triple: [Lieb–Liniger model, hasThermodynamicDescription, Yang–Yang equations]

• A. Yang–Yang equation chosen
  The Yang–Yang equation is a fundamental integral equation in statistical mechanics that describes the thermodynamic properties of one-dimensional interacting Bose gases within the Bethe ansatz framework.
• B. Yang–Baxter equation
  The Yang–Baxter equation is a fundamental consistency condition in mathematical physics and integrable systems that underlies exactly solvable models, quantum groups, and braid group representations.
• C. Schwinger–Dyson equations
  The Schwinger–Dyson equations are a set of integral equations in quantum field theory that relate correlation functions and encode the full dynamics of a quantum field.
• D. Landau–Lifshitz equations
  The Landau–Lifshitz equations are fundamental differential equations in theoretical physics that describe the dynamics of magnetization in ferromagnets and, more broadly, the behavior of fields in relativistic and nonrelativistic continuum theories.
• E. Yang–Lee theory
  Yang–Lee theory is a framework in statistical mechanics and phase transition theory that studies the distribution of zeros of the partition function in the complex plane to understand critical phenomena.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: hasThermodynamicDescription
Context triple: [Lieb–Liniger model, hasThermodynamicDescription, Yang–Yang equations]

• A. hasThermodynamicQuantity
  Indicates that one entity is associated with, or characterized by, a specific thermodynamic quantity (such as temperature, pressure, or entropy).
• B. hasThermalCharacteristic
  Indicates that an entity possesses a specific thermal property or behavior, such as conductivity, capacity, or response to temperature.
• C. containsThermalBath
  Indicates that one entity includes or features a thermal bath within its premises or composition.
• D. thermalProperty
  Indicates a relationship where an entity is associated with a characteristic describing its behavior or response with respect to temperature or heat.
• E. thermalStateFor
  Indicates a relationship where one entity specifies or defines the thermal condition or temperature-related state of another entity.
• F. None of above. chosen