I don’t want to jump on top of a pedant pile, because I think it’s really cool that you’re out there making useful stuff.
The group where I did my PhD was a Numerical Relativity group and I now work in Machine Learning, so I can appreciate where you’re coming from.
However, a Tensor has a very precise mathematical meaning, and has done for centuries (dating back to at least Voigt, and arguably as far as Gauss). Even in machine learning, people recognise that they are abusing the term tensor by restricting its use to Tensors expressed in the canonical orthogonal basis of E^n.
I really think we should be discouraging this debasement of our mathematical terminology. It’s just not helpful at all.
The group where I did my PhD was a Numerical Relativity group and I now work in Machine Learning, so I can appreciate where you’re coming from.
However, a Tensor has a very precise mathematical meaning, and has done for centuries (dating back to at least Voigt, and arguably as far as Gauss). Even in machine learning, people recognise that they are abusing the term tensor by restricting its use to Tensors expressed in the canonical orthogonal basis of E^n.
I really think we should be discouraging this debasement of our mathematical terminology. It’s just not helpful at all.