Definition
Euclidean Distance
The Euclidean distance (or
distance) is the straight-line distance between two points in Euclidean space. Formally, for two vectors , the Euclidean distance is defined as the norm of their difference:
Properties
Rotational Invariance: The Euclidean distance remains invariant under any rotation or translation of the coordinate system, preserving the geometric relationship between points.
Error Penalisation: Compared to the Manhattan distance, the squaring operation in the