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: Clausius theorem | Statement: [Rudolf Clausius, notableFor, Clausius theorem]

Target entity: Clausius theorem
Context triple: [Rudolf Clausius, notableFor, Clausius theorem]

• A. Kelvin–Planck statement of the second law of thermodynamics
  The Kelvin–Planck statement of the second law of thermodynamics asserts that it is impossible to construct a cyclic heat engine that converts all absorbed heat from a single reservoir entirely into work without any other effect.
• B. Carathéodory’s formulation of the second law of thermodynamics
  Carathéodory’s formulation of the second law of thermodynamics is a mathematically rigorous restatement of the second law based on the inaccessibility of certain thermodynamic states, providing a foundation for the concept of entropy without relying on cyclic processes or heat engines.
• C. Carnot efficiency
  Carnot efficiency is the theoretical maximum efficiency that any heat engine can achieve when operating between two temperatures, serving as a fundamental limit in thermodynamics.
• 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. H-theorem
  The H-theorem is Boltzmann’s foundational result in statistical mechanics that explains the irreversible increase of entropy in a gas from time-reversible microscopic dynamics, providing a key link between mechanics and the second law of thermodynamics.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"

Entity: Clausius theorem
Triple: [Rudolf Clausius, notableFor, Clausius theorem]

The Clausius theorem is a fundamental result in thermodynamics that formalizes the second law by relating the cyclic integral of heat transfer over temperature to entropy, showing that this quantity is always less than or equal to zero for any cyclic process.

Target entity: Clausius theorem
Target entity description: The Clausius theorem is a fundamental result in thermodynamics that formalizes the second law by relating the cyclic integral of heat transfer over temperature to entropy, showing that this quantity is always less than or equal to zero for any cyclic process.

• A. Kelvin–Planck statement of the second law of thermodynamics
  The Kelvin–Planck statement of the second law of thermodynamics asserts that it is impossible to construct a cyclic heat engine that converts all absorbed heat from a single reservoir entirely into work without any other effect.
• B. Carathéodory’s formulation of the second law of thermodynamics
  Carathéodory’s formulation of the second law of thermodynamics is a mathematically rigorous restatement of the second law based on the inaccessibility of certain thermodynamic states, providing a foundation for the concept of entropy without relying on cyclic processes or heat engines.
• C. Carnot efficiency
  Carnot efficiency is the theoretical maximum efficiency that any heat engine can achieve when operating between two temperatures, serving as a fundamental limit in thermodynamics.
• 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. H-theorem
  The H-theorem is Boltzmann’s foundational result in statistical mechanics that explains the irreversible increase of entropy in a gas from time-reversible microscopic dynamics, providing a key link between mechanics and the second law of thermodynamics.
• F. None of above. chosen