moving frame वाक्य
उदाहरण वाक्य
मोबाइल
- Though the effect of time dilation on those clocks cannot be neglected anymore when analyzed in another relatively moving frame S '.
- An alternative approach, rooted in the theory of moving frames, is to apply the existence of a primitive for the Darboux derivative.
- Components of the vector can be calculated as derivatives of the parameters defining the moving frames ( Euler angles or rotation matrices ).
- While the rest frame has space and time axes at right angles, the moving frame has primed axes which form an acute angle.
- The "'method of moving frames "'of �lie Cartan is based on taking a moving frame that is adapted to the particular problem being studied.
- The "'method of moving frames "'of �lie Cartan is based on taking a moving frame that is adapted to the particular problem being studied.
- One always can find a third frame S _ 0 in which two relatively moving frames S and S'have equal speed in opposite directions.
- They have many applications in geometry and physics : see the method of moving frames, Cartan connection applications and Einstein Cartan theory for some examples.
- 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.
- Further, doesn t space dilate for moving frames instead of time ? talk ) 02 : 12, 25 October 2016 ( UTC ) Eclectic Eccentric kamikaze
- The main idea is to develop a suitable notion of the connection forms and curvature using moving frames adapted to the particular geometrical problem at hand.
- A key feature of the general method is that a preferred moving frame, provided it can be found, gives a complete kinematic description of the curve.
- Note for example how the unit directions of latitude and longitude on the Earth's surface break down as a moving frame at the north and south poles.
- Here \ rho is the mass-energy density measured in a momentary co-moving frame, u _ a is the fluid's 4-velocity vector field, and p is the pressure.
- To show that this definition is equivalent to the others above, one must introduce a suitable notion of a moving frame for the bundle " E ".
- Later, moving frames were developed extensively by �lie Cartan and others in the study of submanifolds of more general homogeneous spaces ( such as projective space ).
- In their view, synchronous consideration of forces should only be used for the object's rest frame, while in moving frames the same forces should be considered asynchronously.
- The theory of Cartan connections was developed by �lie Cartan, as part of ( and a way of formulating ) his method of moving frames ( "'rep�re mobile "').
- He used the moving frame method with success only matched by its inventor; he preferred in complex manifold theory to stay with the geometry, rather than follow the potential theory.
- The famous Michelson Morley experiment of 1887 showed that the then-accepted Lorentz FitzGerald contraction is not measurable in a co-moving frame, because these theories were based on the Lorentz transformation.
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