Every proper rotation is the composition of two reflections, a special case of the Cartan Dieudonn?theorem.
12.
They discovered that a burnt-through wire connecting the array with its steering system was preventing its proper rotation.
13.
To be a proper rotation matrix it must also satisfy \ det ( \ mathbf { R } ) = 1.
14.
"You've got to make sure each one has its proper rotation on the pole, and that they all keep spinning ."
15.
Composition of transformations is the operator of the Poincar?group, with proper rotations being produced as the composition of an even number of reflections.
16.
Even though weeds have already evolved some resistance to those herbicides, Powles says the new seed-and-herbicide combos should work well if used with proper rotation.
17.
Improper rotations correspond to orthogonal matrices with determinant, and they do not form a group because the product of two improper rotations is a proper rotation.
18.
In October, Dermott was delegated to " attend and regulate all processions, and at Funerals take particular care that all persons walk in proper rotation ".
19.
The proper rotations of the cube, which can be characterized by permutations of the body diagonals, are also described by conjugation in " S " 4.
20.
Creating a bump key does require the key being able to set pins to the proper rotation, so one bump key could not work for all locks.
