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# Manhattan distance

The Manhattan distance, also known as the L1-distance is the distance between two points measured along axes at right angles. In a plane with p1 at (x1, y1) and p2 at (x2, y2), the Manhattan distance is:

$(|x_1 - x_2|^m + |y_1 - y_2|^m)^\frac{1}{m}$, when m = 1.

It is so named because it is the distance a car would drive in a city laid out in square blocks, like Manhattan (neglecting that in Manhattan there are one-way streets and some oblique streets).

L2-distance is called Euclidean distance.

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