11. Is the instantaneous Lorentz factor , a function of the particle's instantaneous velocity. 12. Or, similarly, in the limit where the Lorentz factor } } is very large ( ). 13. Here is the composite Lorentz factor , and and are 3? column vectors proportional to the composite velocities. 14. Is called the Lorentz factor and " c " is the speed of light in free space. 15. Is the Lorentz factor of the velocity ( the vertical bars } } indicate the magnitude of the vector ). 16. Where " m " 0 is the rest mass of the object and ? is the Lorentz factor . 17. Since the Lorentz factor is dependent only on the line-of-sight which yields different results for different orientations. 18. Time dilation by the Lorentz factor was predicted by Joseph Larmor ( 1897 ), at least for electrons orbiting a nucleus. 19. On the other hand when, proper velocity tracks Lorentz factor while velocity angle is logarithmic and hence increases much more slowly. 20. This is a simple matter of applying the lorentz factor . talk ) 23 : 38, 3 February 2008 ( UTC)