In this context, a matrix is a specific kind of tensor. Specifically, an order 2 tensor. You can imagine an order 3 tensor as being some sort of “matrix cube” with rows, columns, and then depth planes. “Tensor” is the collective term for all things mentioned in the video.
@@pacolibre5411 So tensor would be a kind of matrix inside of matrix? I don't see that mentioned in the video? It only shows scalars sigma inside a matrix at the end, or are those sigmas matrices?
@@ianthehunter3532 There is no matrix in a matrix. The tensors only contain numbers. For their components Order 0 tensor: Scalar Order 1 tensor: Vector Order 2 tensor: Matrix Order 3 tensor: 3D analogue of a matrix Order 4 tensor: 4D analogue of a matrix And so on with as many dimensions as you need. This is what I mean by a “collective term.” Scalars are a type of tensor. Vectors are also a type of tensor. All vectors are tensors, but not all tensors are vectors.
I like RAOWH WECTORS 😂😂😂 some of this information is technically kinda correct, but not usefull when you start working with tensors. The reason why is it misses the biggest most important part of the tensors just to make people feel smart.
More: en.fufaev.org/tensors
This is a very elegant and simple way of introducing tensors. I look forward to your future videos.
Impatiently waiting for the next one in the series 😊.
Nice explanation...Thank you!
Waiting for the next video❤❤
From what you told us in this video, it all looks like it's the same as matrices? What's different from them, with context given in the video?
In this context, a matrix is a specific kind of tensor. Specifically, an order 2 tensor.
You can imagine an order 3 tensor as being some sort of “matrix cube” with rows, columns, and then depth planes.
“Tensor” is the collective term for all things mentioned in the video.
@@pacolibre5411 So tensor would be a kind of matrix inside of matrix? I don't see that mentioned in the video? It only shows scalars sigma inside a matrix at the end, or are those sigmas matrices?
@@ianthehunter3532 There is no matrix in a matrix. The tensors only contain numbers. For their components
Order 0 tensor: Scalar
Order 1 tensor: Vector
Order 2 tensor: Matrix
Order 3 tensor: 3D analogue of a matrix
Order 4 tensor: 4D analogue of a matrix
And so on with as many dimensions as you need.
This is what I mean by a “collective term.” Scalars are a type of tensor. Vectors are also a type of tensor. All vectors are tensors, but not all tensors are vectors.
@@pacolibre5411 Right, I see what was meant then. Thanks a lot!
What does the last thing mean ?
Thanks a lot.
I live in the middle east since the digital paymeny is not avaible, how can I buy your book then?
Write me an email :)
That is the laziest definition of a tensor that they are generlization of matrices. They really aren't.
he said generalization of scalars, vectors and matrices not just matrices
why the AI voice? i liked your voice in your other videos
I no longer own a microphone. (If you're wondering why... it's "complicated". :D Short answer: extreme minimalism)
@@fufaev-alexander ah, that’s fair
I like RAOWH WECTORS 😂😂😂 some of this information is technically kinda correct, but not usefull when you start working with tensors. The reason why is it misses the biggest most important part of the tensors just to make people feel smart.
And one more thing to mention dear.....this AI voice is not acceptable. Get back to your own original voice.