since the magnet 22 is not concentric with the axis of rotation 18 of the target object 14 in fig1 by changing the angle function u03b3 u03b8 a desired linear response may be created for many different inputs or output aside from linear or angular for example instead of a linear change in angle one could require a parabolic change by setting u03b3 u03b8 mx 2 b fig8 10 show a front view perspective view and a side view of a linear positioning system generally indicated at 200 in general the linear positioning sensor system 200 senses the position of a target object 202 such as an exhaust gas regulator egr valve stem which moves in a linear motion relative a sensor unit 204 the target object 202 which is sensed by the sensor 204 unit is typically moved or mounted on a fixed track or path to insure strict linear movement as in the above embodiment explained in fig1 3 the linear positioning sensor 204 senses the position of the target object 202 the target object 202 has an outer surface 206 which has a magnet 208 which is shaped to conform to the outer surface 206 the magnet 208 has two opposite end surfaces 210 and 212 a pair of opposite side surfaces 214 and 216 and.