direction cosine sentence in Hindi
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- Rotation calculation via quaternions has come to replace the use of direction cosines in aerospace applications through their reduction of the required calculations, and their ability to minimize round-off errors.
- These segments were used for computations that needed to be recalculated every 20 ms ( like IMU signal processing, update of PGNCS downlink data, direction cosines update, etc . ).
- The error signals are commonly measured as euler angles ( ?, ?, ? ), however an alternative to this could be described in terms of direction cosine matrix or error quaternion s.
- Where \ \ alpha _ { Ji } are the direction cosines between the material and spatial coordinate systems with unit vectors \ \ mathbf E _ J and \ mathbf e _ i, respectively.
- It is common to superimpose the coordinate systems for the undeformed and deformed configurations, which results in \ \ mathbf b = 0, and the direction cosines become Kronecker deltas, i . e.
- If the orientations are specified in terms of matrices of direction cosines g A and g B, then the misorientation operator " g AB going from A to B can be defined as follows:
- Consider the electric field at two points, P _ 1 and P _ 2, in the detection plane due to some point in the source whose coordinates are given by the direction cosines l and m
- It is common to superimpose the coordinate systems for the deformed and undeformed configurations, which results in \ mathbf b = 0 \, \ !, and the direction cosines become Kronecker deltas, i . e.
- I know how to extract the maximum shear stress ( 0.5 * ( sigma1-sigma3 ) ), but what I really need are the direction cosines to go from A to that tensor where that maximum shear stress exists.
- However, in practice, \ vec { r } _ 1, \ vec { r } _ 2 are noisy and the orthogonality condition of the attitude matrix ( or the direction cosine matrix ) is not preserved by the above procedure.
- The advantage of this method is that a direction cosine matrix can usually be obtained independently by using Euler angles or a quaternion to relate the two vector bases, so the basis conversions can be performed directly, without having to work out all the dot products described above.
- In the 1950s some of these documents were useful to U . S . contractors in developing direction cosine matrix transformations and other inertial navigation architecture concepts that were applied to early U . S . programs such as the Atlas and Minuteman guidance systems as well as the Navy's Subs Inertial Navigation System.
- Why is the solid angle element d ( omega ) equal to dl * dm / sqrt ( 1-l ^ 2-m ^ 2 ), where l and m are direction cosines with respect to two orthogonal axes ?-- talk ) 03 : 57, 18 May 2010 ( UTC)
- The position of a point in the source may be referred to by its direction cosines ( l, m ) . ( Since the source is distant, its direction should be the same at P _ 1 as at P _ 2 . ) The electric field measured at P _ 1 can then be written using phasors:
- When a lens is located in front of the diffracting aperture, each plane wave is brought to a focus at a different point in the focal plane with the point of focus being proportional to the x-and y-direction cosines, so that the variation in intensity as a function of direction is mapped into a positional variation in intensity.
- If the aperture is in plane, with the origin in the aperture and is illuminated by a monochromatic wave, of wavelength ?, wavenumber with complex amplitude, and the diffracted wave is observed in the plane where are the direction cosines of the point with respect to the origin, the complex amplitude of the diffracted wave is given by the Fraunhofer diffraction equation as:
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