Cluster distance

Given 5-dimensional numerical samples A= (1, 0, 2, 5, 3) and B = (2, 1, 0, 3, -1).

Find:

1. Eucledian distance between points.
2. City-block distance.
3. Minkowski distance for p=3.
4. Cosine-correlation distance.

Answer:

a) the Euclidean distance:

d2(A, B) =

 =

 = 5.1

b) the city-block distance:

d1(A, B) =

 =

 = 10

c) the Minkowski distance for p=3:

d3(A, B) =

 =

 = 4.34

d) the cosine-correlation distance:

scos(A, B) =

   =

   = 0.58