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 words change of and/or change:
“Comets, importing change of times and states,
Brandish your crystal tresses in the sky.”
—William Shakespeare (1564–1616)
“I had heard so much about how hard it was supposed to be that, when they were little, I thought it would be horrible when they got married and left. But that’s silly you know. . . . By the time they grow up, they change and you change. Eventually, they’re not the same little kids and you’re not the same mother. It’s as if everything just falls into a pattern and you’re ready.”
—Anonymous Mother. As quoted in Women of a Certain Age, by Lillian B. Rubin, ch. 2 (1979)