On Mon, Nov 10, 2025 at 12:19:49AM -0800, Alan Grayson wrote:
> 
> It's an ALGEBRAIC object, NOT a geometric object, defined on a vector space, 
> as
> a multilinear function which maps to a real number.

Calling it an _algebraic_ object is exactly what obfuscates what
tensors are all about. Tensors are not a collection of numbers, just
as vectors are not collections of numbers. Vectors are geometric
objects, as are tensors.

-- 

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Dr Russell Standish                    Phone 0425 253119 (mobile)
Principal, High Performance Coders     [email protected]
                      http://www.hpcoders.com.au
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