Here, u _ i is the ith component of the displacement vector, ? is the angular frequency from harmonic time dependence, c _ { i, j, k, l } is a component of the elastic tensor, and ? is the density.
42.
As before, evaluating "'F "'at all the points on the curve and taking the dot product with each displacement vector gives us the infinitesimal contribution of each partition of "'F "'on " C ".
43.
The whole idea of a displacement vector has very little use within general relativity ( none that I'm aware of ), because unlike in Newtonian mechanics or special relativity, the coordinates used to label talk ) 02 : 55, 24 March 2011 ( UTC)
44.
Let the center of the first object be at the origin, and let "'d "'be a displacement vector between a mass element in the first object and another mass element in the other object, taken to point towards the second object.
45.
Where " ?" indicates the vector cross product, "'p "'is the particle's linear momentum, and "'r "'is the displacement vector from the origin ( the origin is assumed to be a fixed location anywhere in space ).
46.
In the case of two classical point charges, \ scriptstyle { + q } and \ scriptstyle {-q }, with a displacement vector, \ scriptstyle { \ mathbf { r } }, pointing from the negative charge to the positive charge, the electric dipole moment is given by
47.
It would make as much sense using appropriate combinations of " orbit vector defined by displacement vector most parallel to line of sight ", " orbit vector defined by angular momentum covector ", " wobble measured photographically ", " wobble measured spectrally " .-- Fuzzyeric 21 : 46, 17 September 2006 ( UTC)
48.
However, in the special case of an object accelerating from rest with a constant acceleration " a ", then the displacement ( or, strictly speaking, the magnitude of the displacement vector ) does happen to equal distance travelled, because in this case the velocity vector and the displacement vector are always parallel.
49.
However, in the special case of an object accelerating from rest with a constant acceleration " a ", then the displacement ( or, strictly speaking, the magnitude of the displacement vector ) does happen to equal distance travelled, because in this case the velocity vector and the displacement vector are always parallel.
50.
Let f ( R ) and g ( r ) be the densities of the two objects respectively ( they are functions of the radius only, as required by the shell theorem ), and finally, let the center of the second sphere be located at a displacement vector of "'X "'=.
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