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It has been some time since I left university...

In a not too formal language, an $n$-dimensional vector is an indexed set of numbers $\{i_1, ..., i_n\}$. A $n\times m$ matrix is a set of numbers with a two-dimensional index $\{i_{11},...,i_{n1},i_{m1},...,i_{mn}\}$.

What is the generalization of this, i.e. a set of numbers with an $n$-dimensional index? What is it called?

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    http://en.wikipedia.org/wiki/Tensor2012-06-08
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    Yes! That's it. If you'd given this as an answer, I'd chosen it. Thanks a lot!2012-06-10

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