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Answer :
Dm(x,y)=∑i=1D|xi−yi| is the L1 distance formula.
What is the L1 distance?
A taxicab geometry, also known as Manhattan geometry, is a type of geometry in which the standard Euclidean distance function or metric is swapped out with a new one in which the distance between any two points is equal to the product of their absolute differences in Cartesian coordinates.
The taxicab metric is also known as snake distance, city block distance, Manhattan distance, or Manhattan length. It is also known as L1 distance, L1 distance, or L1 norm (see Lp space).
The magnitudes of the vectors in space are added to form the L1 Norm.
The sum of the absolute differences between the components of the vectors is the most straightforward technique to calculate the distance between them.
All of the vector's elements are given the same weight in this norm.
The L1 distance formula: Dm(x,y)=∑i=1D|xi−yi|
Therefore, Dm(x,y)=∑i=1D|xi−yi| is the L1 distance formula.
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