Consider the discrete metric we defined in the last question of the previous homework: on the set ={,,,}X={a,b,c,e}, we let (,)=1 if y and (,)=0 for all , You showed that there are two different ways of embedding (,) is ^_1 a = (1/2, 0, 0, 0), b = (0, 1/2, 0, 0), c = (0, 0, 1/2, 0), e = (0, 0, 0, 1/2) and a = (0, 0, 0), b = (0, 1/2, 1/2), c = (1/2, 0, 1/2), e = (1/2, 1/2, 0)

Consider the two 1 diversities defined on by these two embeddings. For each embedding, state the 1 diversity for all subsets of X. In this way, you will confirm that even though the different embeddings have the same metrics, they have different diversities.

Answer rating: 100% (QA)

To determine the 1diversity for each embedding we need to calculate the sum of distances from each point in X to all other points for each subset of X ... View the full answer