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/m Log[m/q].

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/m Log[m/q].

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