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1. kat (boneidol)'s status on Thursday, 25-Jul-2019 06:46:29 EDT kat

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   I was watching a lecture last night, about vector spaces and tensors. The lecture was great. I've never been very good at tensors, and struggled at that bit whilst at school. Anyway this lecture made it all super clear, and it was a great introduction to them. HOWEVER the lecturer makes a mistake in a small detail, whilsts discussing the number of components in a tensor with respect …
   • kat (boneidol)'s status on Thursday, 25-Jul-2019 06:46:46 EDT kat

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     The lecturer said that for a tensor of rank m over a finite dimensional vector space the number of components is 

     
     ${m^{dim V}}$
     
     So I looked at that for several hours! and could not understand it.
     
     Well of course I thought about it now and it's obviously ${(dim V)}^m$
     
     But I spent ages trying to convince myself that the incorrect thing was true.
     
     Sometimes you just have to brave
     
     #Math
   • kat (boneidol)'s status on Thursday, 25-Jul-2019 19:24:15 EDT kat

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     this was the lecture. https://youtu.be/mbv3T15nWq0
     
     I've been watching the series, they are wonderful.
     
     International Winter School on Gravity and Light 2015
     
     #math #physics