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Kees Dullemond & Kasper Peeters
1 The index notation Before we start with the main topic of this booklet, tensors, we will first introduce a new notation for vectors and matrices, and their algebraic manipulations: the …
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Kees Dullemond & Kasper Peeters - Heidelberg University
www.ita.uni-heidelberg.deThis index notation is also applicable to other manipulations, for instance the inner product. Take two vectors~v and ~w, then we define the inner product as ~v· ~w := v 1w 1 +···+v nw = n ∑ µ=1 v µw. (1.7) (We will return extensively to the inner product. Here it is just as an example of the power of the index notation).