Minor nitpick: The authors are not the first ones to recognize that 'tensor' makes a great (brand-) name. As someone who is paid to think about tensors this is

Minor nitpick: The authors are not the first ones to recognize that 'tensor' makes a great (brand-) name. As someone who is paid to think about tensors this is a bit annoying, because the first thing in my mind when I read a page like OP, is "where are the tensors?". Alas, there are none. For a mathematician, a "multidimensional data array" is not a tensor. It is a tuple. A tensor is a tuple with much more structure, associated to linear actions on its components. Said differently, if you can't tell me, what 7*[Alice] means, you have no right to call [Alice] a tensor.