Numerical attributes Distances are normally used to measure the similarity or dissimilarity between two data objects Euclidean distance d(1)=,(x2-x,}+x2-x,P+,+|x,-x2) 12J2 Jp Where/=(Ⅻ…,)andj=(场灬加)le two p-dimensional records, Manhattan distance d(i)=x.-x,+|x.-x,|+.+1x2-x4 Numerical Attributes ◼ Distances are normally used to measure the similarity or dissimilarity between two data objects ◼ Euclideandistance: where i = (xi1, xi2, …, xip) and j = (xj1, xj2, …, xjp) are two p-dimensional records, ◼ Manhattan distance | | ... | | ) 2 ( , ) (| | 2 2 1 1 2 2 p jp x i x j x i x j x i d i j = x − + − + + − ( , ) | | | | ... | | 1 1 2 2 p jp x i x j x i x j x i d i j = x − + − + + −