To see a visual representation of what I am trying to say with regard to "pages" of matrices please look at the Levi-Cita symbol on wikipedia and there will be a diagram on the right side of the image I wanted to post here but it came up with an error.
I was curious cause you did not mention it but isn't a Rank 2 tensor also a matrix of vectors (square matrix, is better)....so that 3X3 matrix could represent a similar concept. I am not sure if I said that right but to continue on that line of thought, the Rank 3 Tensor would be like a 3X3 matrix with 3 "pages" to it which would make it 3X3X3. I hope you understand what I mean and was wondering if this idea of 3-dimension matrices are used (probably replace by tensors in modern math though)...
I'd be scared if my Z component was equal to Octopus! D: (7:38)
mpeskett 1 day ago
Why didn't somebody tell me this before??????
greiteneis 3 days ago
very nice job! thanks
mrtamborineman10 4 days ago
To see a visual representation of what I am trying to say with regard to "pages" of matrices please look at the Levi-Cita symbol on wikipedia and there will be a diagram on the right side of the image I wanted to post here but it came up with an error.
Thanks for the video.
jknutsen5072 1 week ago
I was curious cause you did not mention it but isn't a Rank 2 tensor also a matrix of vectors (square matrix, is better)....so that 3X3 matrix could represent a similar concept. I am not sure if I said that right but to continue on that line of thought, the Rank 3 Tensor would be like a 3X3 matrix with 3 "pages" to it which would make it 3X3X3. I hope you understand what I mean and was wondering if this idea of 3-dimension matrices are used (probably replace by tensors in modern math though)...
jknutsen5072 1 week ago
Sir, thanks a lot! You have all my respect!
SmallguyBigthink 2 weeks ago
Your classes are probably the first ones to fill up every semester during registration at the school you teach. Thank you so much.
iatibavinsky 3 weeks ago
same as brilliant as your description of maxwell equations in the other podcast by you
sharrajesh465 3 weeks ago
Classic video ... cleared my doubts regarding the concept of tensor
DasAbhishek1503 3 weeks ago
Comment removed
overlook77 3 weeks ago
Very good! Thank you for taking the time to explain!
AristosKisai 3 weeks ago
Thank you very much, Mr. Fleisch!
vebazzo21 3 weeks ago
hey youre missing a nerf bullet on the rank 3 visualization
clbgeballe 4 weeks ago
Absolutely one of the most helpful videos about conceptualizing tensors I've seen. Thank you so much!
NortheastManic 1 month ago 2
Thanks Dan.
I have your book on Maxwell's equations on order and hope it is as lucid as this demonstration !
Ferrari312pb 1 month ago
awesome!
rohitarora1981 1 month ago
Excellent video, thank you for uploading!
Epilogue02 1 month ago
It's obvious that you put a lot of effort into this video. It was great, thank you very much.
KulautuvosMX 1 month ago
That was brilliant thanks. It's this kind of thing that is the "missing link" at the start of every new mathematical topic.
yoududeuser 2 months ago 4
Great..
HarishS88 2 months ago
great and helpful video
ilovephysics1122 2 months ago
great video ..
knvk2008 2 months ago
Thank you for such a lucid explanation of Vectors and Tensors.
Looking forward to reading your book.
Lapogc 2 months ago
I really liked the visual aids -- the visualization of 2nd and 3rd rank tensors were particularly instructive.
csmiller042 3 months ago 6
Excellent presentation!
onengdev 3 months ago