Entropy of particles in a box

The number of possible states of a region of m cells containing q particles is Binomial[m, q]. In the large size limit, the logarithm of this can be approximated by q Log[m/q]/m.

Entropy of particles in a box

The number of possible states of a region of m cells containing q particles is Binomial[m, q]. In the large size limit, the logarithm of this can be approximated by q Log[m/q]/m.

From Stephen Wolfram: *A New Kind of Science* [citation]