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: Boltzmann constant k | Statement: [Ludwig Boltzmann, hasSymbolNamedAfter, Boltzmann constant k]

Target entity: Boltzmann constant k
Context triple: [Ludwig Boltzmann, hasSymbolNamedAfter, Boltzmann constant k]

• A. Boltzmann constant chosen
  The Boltzmann constant is a fundamental physical constant that links temperature to energy at the particle level, playing a central role in statistical mechanics and thermodynamics.
• B. Planck constant
  The Planck constant is a fundamental physical constant that quantifies the relationship between the energy of a photon and the frequency of its associated electromagnetic wave, forming a cornerstone of quantum mechanics.
• C. k_B
  k_B is the conventional symbol used to denote the Boltzmann constant, a fundamental physical constant that relates temperature to energy at the particle level.
• D. Sackur–Tetrode equation
  The Sackur–Tetrode equation is a fundamental formula in statistical mechanics that gives the absolute entropy of an ideal monatomic gas in terms of its volume, temperature, and particle number.
• E. Boltzmann distribution
  The Boltzmann distribution is a fundamental probability distribution in statistical mechanics that describes how particles or states are populated over different energy levels at thermal equilibrium.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: hasSymbolNamedAfter
Context triple: [Ludwig Boltzmann, hasSymbolNamedAfter, Boltzmann constant k]

• A. hasTraditionalSymbol
  Indicates that something is associated with or represented by a conventional or culturally established symbol.
• B. symbolicallyUses
  Indicates that one entity employs another as a symbol or representation to convey meaning, ideas, or associations rather than for its literal or practical function.
• C. namedAfter
  Indicates that one entity has been given its name in honor of, or derived from, another entity.
• D. followsNameOf
  Indicates that one entity’s name comes immediately after another entity’s name in a specified ordering or sequence.
• E. namedAfterField
  Indicates that one entity has been given a name derived from or in honor of another entity, typically a person, place, or thing.
• F. None of above. chosen