Changes

Time dilation is most easily derived using the [[Lorentz transformation]]s, though geometrical solution is also straight forward. Using the transformation relating [[time]] between two [[Inertial frame of reference|frames of reference]], <math>t</math> and <math>t'</math>. We can find the time difference between two events that occur at the '''same''' location in space. The events shall be called event one and event 2. This results in the equations:

Time dilation is most easily derived using the [[Lorentz transformation]]s, though geometrical solution is also straight forward. Using the transformation relating [[time]] between two [[Inertial frame of reference|frames of reference]], <math>t</math> and <math>t'</math>. We can find the time difference between two events that occur at the '''same''' location in space. The events shall be called event one and event 2. This results in the equations:

<math>t'_1 = \gamma (t_1 - \frac{ux}{c^2}) </math><br/>

<math>t'_1 = \gamma \left(t_1 - \frac{ux}{c^2} \right) </math><br/>

<math>t'_2 = \gamma (t_2 - \frac{ux}{c^2}) </math>

<math>t'_2 = \gamma \left(t_2 - \frac{ux}{c^2} \right) </math>

where

where