- Green Line: Manhattan Distance
- Red Line: Euclidean Distance

University of Michigan - Ann Arbor

The Manhattan distance is found by using the absolute value of the sum of the difference between two points. Its formula is given by:

		$\sum_{i = 1}^k {|x_i-y_i|}$ 

Manhattan Distance

In order to find the Euclidean distance, one has to take the square root of the sum of the squared difference between two points. The formula for calculating the Euclidean distance is given by:

	 $\sqrt{ \sum_{i=1}^k {(x_i - y_i)}^2 }$


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