Tensor and coordinate system
Uploader Comments (EinsteinInSkirt)
All Comments (18)
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I like that you used just two dimensions. Once the idea is grasped in two dimensions, it's not difficult to imagine it in 3 or more. Thanks.
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I am very happy to see the vidoe after you give this Next presentation about tensors. In this presentation I show the relation between tensors and coordinate system and how a tensor changes when coordinate system
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I Really Like The Video From Your Tensor and coordinate system
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Your Video Is Very Useful Sharing Next presentation about tensors. In this presentation I show the relation between tensors and coordinate system and how a tensor changes when coordinate system.
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after i watched this video, my insight is very open because the video is very good to give information Next presentation about tensors. In this presentation I show the relation between tensors and coordinate system and how a tensor changes when coordinate system
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@gre36789 It's not e of i that should be transposed, but e of j. This, of course, results in the transpose of the resulting matrix shown in the video, but that's as it should be according to the Wikipedia page on the outer product and according to the result you get from Mathematica's OuterProduct[Times, {1,0},{0,1}] command. This way the definition uses straight forward matrix multiplication -- if you transpose e of i and matrix-multiply that with e of j you get the 2x1 column VECTOR {0,1}.
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still confuse about what is tensor. a rank 1 tensor has 3 component to represent a arrow in space. It's components have only 1 direction in each axis. So rank 2 tensor has 9 component to represent a arrow in space. it that what tensor is?
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So it's pretty much Linear algebra combined with trig? that's easy
Yes, that the main idea I wanted to pass to the viewers of my presentation.
EinsteinInSkirt 2 months ago
Everythings good and explicit. Any ideas on what this can do on real life application? Thx
canciones3 11 months ago
@canciones3 Thanks. I am working on new presentations about applications of tensors of order larger than 3, cause these are the most interesting. these tensors have applications in material mechanics and in the theory of relativity.
EinsteinInSkirt 7 months ago