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where ''i'' ranges over all possible molecular conditions, and where <math>!</math> denotes [[factorial]]. The "correction" in the denominator account for [[Identical particles|indistinguishable]] particles in the same condition.

where ''i'' ranges over all possible molecular conditions, and where <math>!</math> denotes [[factorial]]. The "correction" in the denominator account for [[Identical particles|indistinguishable]] particles in the same condition.

普朗克曾说：“熵和概率之间的对数联系是由玻尔兹曼在他的气体动力学理论中首次提出的”。也就是著名的熵公式：

普朗克曾说：“熵和概率之间的对数联系是由玻尔兹曼在他的气体动力学理论中首次提出的”。也就是著名的熵公式：<math> S = k_B \ln W </math>

Boltzmann could also be considered one of the forerunners of quantum mechanics due to his suggestion in 1877 that the energy levels of a physical system could be discrete.

Boltzmann could also be considered one of the forerunners of quantum mechanics due to his suggestion in 1877 that the energy levels of a physical system could be discrete.