 ##  [Equipartition Theorem](/equipartition-theorem) 

  ##  [Equipartition Theorem](https://natural.quantumdictionary.io/equipartition-theorem-0) 

  
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**Natural &amp; Formal Sciences Dictionary**

 
Definition

In classical statistical mechanics, the statement that each independent quadratic degree of freedom contributes (1/2) k_B T to the average energy in thermal equilibrium at temperature T.

 
 ##  [Equipartition Theorem](https://mathlogic.quantumdictionary.io/equipartition-theorem-1) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A principle in classical statistical mechanics stating that, at thermal equilibrium, each independent quadratic degree of freedom in the Hamiltonian contributes on average (1/2)k_B T to the system's mean energy.