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so my first ever computer video i think it was my first ever one my first ever computer file video was on digital images and really what i was talking about was how we represented image in memory but a little bit of that was about multi-dimensional arrays because images are multi-dimensional arrays now obviously a lot of my research is around deep learning we actually see multi-dimensional arrays quite a lot in deep learning and they can get four or five and more dimensional depending on what kind of data youre looking at um and so what i wanted to talk about today was the kind of nifty way we represent these in the computer because of course memory is we dont represent memory in a multi-dimensional array its just linear address space so how do we map from five dimensions down to one very very quickly so that we can perform all this very very fast deep learning on it if you use any kind of numerical library so for example numpy or matlab or r or any of the tensor libraries like ten