Differences between computer people and maths people:
Me: How would you write down a sequence of for-loops nested to arbitrary depth?
Computer people: Why would you want to do that? Look, this is what is known as an x-y problem, let me tell you instead what you should be asking...
Maths people: Ah, yes, tensor products have a universal mapping property over multilinear maps, so just pick some coordinates and write down the computation you want. It's all rather trivial.
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