Change of Coordinates
In geometry and kinematics, coordinate systems are used not only to describe the (linear) position of points, but also to describe the angular position of axes, planes, and rigid bodies. In the latter case, the orientation of a second (typically referred to as "local") coordinate system, fixed to the node, is defined based on the first (typically referred to as "global" or "world" coordinate system). For instance, the orientation of a rigid body can be represented by an orientation matrix, which includes, in its three columns, the Cartesian coordinates of three points. These points are used to define the orientation of the axes of the local system; they are the tips of three unit vectors aligned with those axes.
Read more about this topic: Coordinate System
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“Change often makes accepted customs into crimes.”
—Mason Cooley (b. 1927)
“Becoming more flexible, open-minded, having a capacity to deal with change is a good thing. But it is far from the whole story. Grandparents, in the absence of the social institutions that once demanded civilized behavior, have their work cut out for them. Our grandchildren are hungry for our love and approval, but also for standards being set.”
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