I have seen two different entropy equations:
1. \(S = -k /Sigma_i P_i ln P_i\)
and
2. \(S = k lnW\), where W is the multiplicity.
I'm trying to calculate the entropy for an experiment where I sample the sock colors of 30 students and find the distribution of the colors of the socks they are wearing. I'm a little surprised to find that the two equations give me different entropy values. Why is that?
1. \(S = -k /Sigma_i P_i ln P_i\)
and
2. \(S = k lnW\), where W is the multiplicity.
I'm trying to calculate the entropy for an experiment where I sample the sock colors of 30 students and find the distribution of the colors of the socks they are wearing. I'm a little surprised to find that the two equations give me different entropy values. Why is that?