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
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“The basic tool for the manipulation of reality is the manipulation of words. If you can control the meaning of words, you can control the people who must use the words.”
—Philip K. Dick (1928–1982)