On Monday, November 10, 2025 at 2:05:39 AM UTC-7 Russell Standish wrote:

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.


*A tensor field is, in fact, a collection of real numbers at different *
*positions in the field. AG* 



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