Galilean relativity can be shown as follows. Consider two inertial frames "S" and "S' ". A physical event in "S" will have position coordinates "r" = ("x", "y", "z") and time "t" in "S", and "r' " = ("x' ", "y' ", "z' ") and time "t' " in "S' ". By the second axiom above, one can synchronize the clock in the two frames and assume "t" = "t' ". Suppose "S' " is in relative uniform motion to "S" with velocity "v". Consider a point object whose position is given by functions "r' "("t") " in "S' " and r"("t") in "S". We see that