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KKick-Stand reacted to JimWhoKnew's post in the thread I Convention for writing $\binom{1}{1}$ tensors in matrix form? with
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Note that ##~\partial x^\alpha/\partial x'^{\mu'}~## is not a tensor. If you want to transform it to a third coordinate system, it... -
KKick-Stand replied to the thread I Convention for writing $\binom{1}{1}$ tensors in matrix form?.It's kind of funny because one of the first things the prof does in Lecture 1 of that class is tell his students that yes you're going...
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KKick-Stand reacted to Ibix's post in the thread I Convention for writing $\binom{1}{1}$ tensors in matrix form? with Like.
I would say, in short, tensors aren't matrices and don't follow the same rules. For example, ##g_{ab}x^ax^b## is a perfectly valid...
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KKick-Stand reacted to Pencilvester's post in the thread I Convention for writing $\binom{1}{1}$ tensors in matrix form? with Like.
A matrix (specifically a square matrix) is a decent way to express all of the components of a (1, 1) tensor. The problem is that the...
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KKick-Stand replied to the thread I Convention for writing $\binom{1}{1}$ tensors in matrix form?.Or does this even really matter since the formulas used in this course will be in terms of components instead of matrices so who cares...
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KKick-Stand posted the thread I Convention for writing $\binom{1}{1}$ tensors in matrix form? in Special and General Relativity.I have been following the 8.962 class on OCW and I was thinking I was writing out the components correctly with first index row, second...