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:
“Change of fashion is the tax levied by the industry of the poor on the vanity of the rich.”
—Sébastien-Roch Nicolas De Chamfort (1741–1794)
“We black women must forgive black men for not protecting us against slavery, racism, white men, our confusion, their doubts. And black men must forgive black women for our own sometimes dubious choices, divided loyalties, and lack of belief in their possibilities. Only when our sons and our daughters know that forgiveness is real, existent, and that those who love them practice it, can they form bonds as men and women that really can save and change our community.”
—Marita Golden, educator, author. Saving Our Sons, p. 188, Doubleday (1995)