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The most basic example is the flat Euclidean plane, an idealization of a flat surface in physical space such as a sheet of paper or a chalkboard. On the Euclidean plane, any two points can be joined by a unique straight line along which the distance can be measured.
An example of a nonhomogeneous first-order matrix difference equation is = + with additive constant vector b.The steady state of this system is a value x* of the vector x which, if reached, would not be deviated from subsequently.