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 entropy formula | Statement: [Gibbs paradox, relatedTo, Boltzmann entropy formula]

Target entity: Boltzmann entropy formula
Context triple: [Gibbs paradox, relatedTo, Boltzmann entropy formula]

• A. 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.
• B. Shannon entropy
  Shannon entropy is a fundamental measure in information theory that quantifies the average uncertainty or information content in a random variable or message source.
• C. Boltzmann–Gibbs entropy in statistical mechanics chosen
  Boltzmann–Gibbs entropy in statistical mechanics is the standard measure of disorder or uncertainty in a system, quantifying how many microscopic configurations correspond to a given macroscopic state and forming the basis of classical equilibrium statistical mechanics.
• D. Rényi entropy
  Rényi entropy is a generalized measure of information and uncertainty that extends Shannon entropy by introducing a tunable order parameter to emphasize different aspects of a probability distribution.
• 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.