The rotation matrix is an orthogonal matrix, its transpose equals its inverse, and negating either the angle or axis in the rotation matrix corresponds to a rotation in the opposite sense, so the inverse transformation is readily obtained by
32.
The negative signs in the definitions of parameters \ scriptstyle C'and \ scriptstyle D'arise because \ scriptstyle I'_ 2 is defined with the opposite sense to \ scriptstyle I _ 2, that is, \ scriptstyle I'_ 2 =-I _ 2.
33.
I think it is another step entirely to posit whether one could have a continuous path that connects one such region to an opposite sense region, or more extreme, a closed loop such that a particle could return to the original position with inverted properties.
34.
In the canard arrangement, the elevators are hinged to the rear of a foreplane and move in the opposite sense, for example when the pilot pulls the stick back the elevators go down to increase the lift at the front and lift the nose up.
35.
In applications such as the Kirby calculus, in which the desired equivalence class of knot diagrams is not a knot but a framed link, one must replace the type I move with a " modified type I " ( type I') move composed of two type I moves of opposite sense.
36.
Instead, the fact that the mirror had been ground so precisely to the wrong shape led to the design of new optical components with exactly the same error but in the opposite sense, to be added to the telescope at the servicing mission, effectively acting as " spectacles " to correct the spherical aberration.
37.
It is not possible to reliably ensure that any particular contact is closed, except by potentially intrusive and safety-degrading sensing of its circuit conditions, however in safety systems it is usually the NO state that is most important, and as explained above, this is reliably verifiable by detecting the closure of a contact of opposite sense.
38.
Because the bulges are now displaced from the A B axis, A's gravitational pull on the mass in them exerts a torque on B . The torque on the A-facing bulge acts to bring B's rotation in line with its orbital period, whereas the " back " bulge, which faces away from A, acts in the opposite sense.
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