If the principle of detailed balance is valid then for any value of T there exists a positive point of detailed balance c : w r + ( c e q , T ) = w r − − ( c e q , T ) = w r e q Elementary algebra gives w r + = w r e q exp ⁡ ⁡ ( ∑ ∑ i α α r i ( μ μ i − − μ μ i e q ) R T ) ; w r − − = w r e q exp ⁡ ⁡ ( ∑ ∑ i β β r i ( μ μ i − − μ μ i e q ) R T ) ; where μ μ i e q = μ μ i ( c e q , T )