| Taxicab Geometry |
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Taxicab geometry, considered by Hermann Minkowski in the 19th Century , is a form of Geometry in which the usual Metric of Euclidean Geometry is replaced by a new metric in which the distance between two points is the sum of the (absolute) differences of their coordinates. MANHATTAN DISTANCE More formally, we can define the Manhattan distance, also known as the '''L1-distance''', between two points in an Euclidean Space with fixed Cartesian Coordinate System as the sum of the lengths of the projections of the Line Segment between the points onto the Coordinate Axes . For example, in the Plane , the Manhattan distance between the point ''P''1 with coordinates (''x''1, ''y''1) and the point ''P''2 at (''x''2, ''y''2) is |
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