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The way I think of it: you have 0-dimensional arrays of numbers (plain numbers or scalars). You have 1-dimensional arrays of numbers (a list of N numbers or an N-vector). You have 2-dimensional arrays of numbers (an NxM matrix). We can extend this concept to 3- and 4-dimensional arrays and even further.

The kicker? All of them are tensors. Tensor is just a generalisation of the concept.

I am no licensed mathematician, so this could be off. However, every time I dive into this topic, I have to wade through way too complex mathnobabble to arrive at that notion. So let's keep it simple: tensors are a mathematician's template for arrays of any dimension.




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