Question: Given two points X1, X2 ( R we define the Euclidean distance between them by a function PE : R x R _ R defined

Given two points X1, X2 ( R" we define the Euclidean distance between them by a function PE : R x R _ R defined as: d PE(X1, X2) = _(X1,K - X2,k)2 k=1 Similarly, we define the taxicab distance pr : R" x R* => R by: d PT(X1, X2) = X1,k - X2,k k=1 Prove that the metric space (RR" , pE) is complete iff the metric space (R" , pr) is complete

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Do not take criticism personally, even if it is meant to be personal.

2. To understand that as a general rule it takes about 3 minutes before the other part(s) have made up a 90% impression of you.

3. To understand that the first impression means a lot, and it takes a lot of energy to change this first impression.