On Sunday, November 9, 2025 at 11:16:05 PM UTC-7 Russell Standish wrote:
On Sun, Nov 09, 2025 at 09:55:15PM -0800, Alan Grayson wrote: > > > Someday I might find a teacher who can really define tensors, but that day has > yet to arrive. Standish seems to come close, but does every linear multivariate > function define a tensor? I'm waiting to see his reply. AG Well I did say multilinear function, but the answer is yes, every multilinear function on a vector space is a tensor, and vice-versa. *How does one prove that every multilinear function on a vector space is invariant under a * *change in coordinates? What exactly happens to its matrix representation? And Yes, please* *post that short clarification defining tensors when you have time. AG* I did write an 8 page article appearing in our student rag "The Occasional Quark" when I was a physics student, which was my attempt at explaining General Relativity when I was disgusted by the hash job done by our professor. I haven't really thought about it much since that time, though. I can also recommend the heavy tome by Misner, Thorne and Wheeler. I could scan the article and post it to this list, but not today - I have a few other things on my plate before finishing up. -- ---------------------------------------------------------------------------- Dr Russell Standish Phone 0425 253119 (mobile) Principal, High Performance Coders [email protected] http://www.hpcoders.com.au ---------------------------------------------------------------------------- -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion visit https://groups.google.com/d/msgid/everything-list/0942b6c4-1648-4e0f-a4ab-3bf7d8b0b2c8n%40googlegroups.com.
