Though the effect of time dilation on those clocks cannot be neglected anymore when analyzed in another relatively moving frame S '.
22.
An alternative approach, rooted in the theory of moving frames, is to apply the existence of a primitive for the Darboux derivative.
23.
Components of the vector can be calculated as derivatives of the parameters defining the moving frames ( Euler angles or rotation matrices ).
24.
While the rest frame has space and time axes at right angles, the moving frame has primed axes which form an acute angle.
25.
The "'method of moving frames "'of �lie Cartan is based on taking a moving frame that is adapted to the particular problem being studied.
26.
The "'method of moving frames "'of �lie Cartan is based on taking a moving frame that is adapted to the particular problem being studied.
27.
One always can find a third frame S _ 0 in which two relatively moving frames S and S'have equal speed in opposite directions.
28.
They have many applications in geometry and physics : see the method of moving frames, Cartan connection applications and Einstein Cartan theory for some examples.
29.
Cartan's idea of introducing the frame bundle as a central object was the natural culmination of the theory of moving frames, developed in France by Goursat.
30.
Further, doesn t space dilate for moving frames instead of time ? talk ) 02 : 12, 25 October 2016 ( UTC ) Eclectic Eccentric kamikaze
