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In the explanation they have the following formula for energy density u([itex]\nu[/itex],t):

u = ( number degrees of freedom for frequency [itex]\nu[/itex]) x (average energy per degree of freedom)

My understanding is that that degrees of freedom is the number of variables that you can vary in the formula.

Since the degrees of freedom vary, I'm assuming that under certain temperatures and frequencies, the formula can be simplified and reduced? This would in turn change the degrees of freedom? Please let me know if I'm understanding it correctly.