First, a vector can be seen as a list of numbers, and a matrix can be seen as an ordered list of vectors. An ordered list of matrices is… a tensor of order 3. Well not exactly. Apparently some people are actually disappointed with the term tensor because a tensor means something very specific in mathematics already and isn’t just an ordered list of matrices. But whatever, that’s the term we’re using for this blog post at least.
It’s true that tensors are something more specific than multidimensional arrays of numbers, but Jacobians of functions between tensor spaces (that being what you’re using the multidimensional arrays for here) are, in fact, tensors.
It’s true that tensors are something more specific than multidimensional arrays of numbers, but Jacobians of functions between tensor spaces (that being what you’re using the multidimensional arrays for here) are, in fact, tensors.