Annus MirabilisEinstein in 1905
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The equation explained

S−S0=RNlg⁡W,S - S_0 = \frac{R}{N} \lg W ,
In wordsThe entropy of a state less that of the initial state equals the gas constant R over the number N, times the natural logarithm of the state's probability relative to the initial state.OverviewBoltzmann's principle in its general form, as section 5 stated it, set beside the radiation's entropy.Full explanationThe paper calls this the general formula expressing Boltzmann's principle. Section 5 stated it for any system, with WW the probability of a state relative to an initial state, and used it for a gas. Section 6 now applies it to radiation, whose entropy difference the preceding display has put in the same form. The paper says only that comparing the two leads to a conclusion, and the next display draws it.Every stepS−S0=RNlg⁡WS - S_0 = \frac{R}{N} \lg WBoltzmann's principle as section 5 wrote it on p. 141: the entropy difference is RN\frac{R}{N} times the logarithm of the relative probability WW. Section 6 applies it to the radiation.Also

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