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
Famous quotes containing the word change:
“In the continual enterprise of trying to guide appropriately, renegotiate with, listen to and just generally coexist with our teenage children, we ourselves are changed. We learn even more clearly what our base-line virtues are. We listen to our teenagers and change our minds about some things, stretching our own limits. We learn our own capacity for flexibility, firmness and endurance.”
—Jean Jacobs Speizer. Ourselves and Our Children, by Boston Women’s Health Collective, ch. 4 (1978)