Tensor Manipulation
The diagrammatic notation is very useful in manipulating tensor algebra. It usually involves a few simple "identities" of tensor manipulations.
For example, where n is the number of dimensions, is a common "identity".
Read more about this topic: Penrose Graphical Notation
Famous quotes containing the word manipulation:
“Denotation by means of sounds and markings is a remarkable abstraction. Three letters designate God for me; several lines a million things. How easy becomes the manipulation of the universe here, how evident the concentration of the intellectual world! Language is the dynamics of the spiritual realm. One word of command moves armies; the word liberty entire nations.”
—Novalis [Friedrich Von Hardenberg] (1772–1801)