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Different inertial grids have different coordinates for events. Here, two grids, Grid 1 and Grid 2, differ by a boost, in which Grid 2 is moving along the x-axis of Grid 1, at a speed β, with -1<β<1. The sign of β indicates if Grid 2 moves in the +x direction, or the -x direction.
Given the coordinates of an event as measured in Grid 1, you use the boost transformation to find the coordinates for the same event, as measured in Grid 2.
The units used in this chart aren't specified. It shows values only within a certain range, about +/- 225 or so.