Introduction to Tensors: Zero / First / Second Order Tensor

Рет қаралды 5,712

6 ай бұрын

• Introduction to Tensor...
Here we introduce tensors of zeroth, first and second order, which are a generalization of scalars, vectors and matrices. More: en.fufaev.org/tensors
Books by Alexander Fufaev:
1) Equations of Physics: Solve EVERY Physics Problem
en.fufaev.org/physics-equatio...
2) Alexander Fufaev and His Never Ending Story:
en.fufaev.org/lifestory

Пікірлер: 20

@fufaev-alexander 6 ай бұрын

More: en.fufaev.org/tensors

@TheLethalDomain 6 ай бұрын

This is a very elegant and simple way of introducing tensors. I look forward to your future videos.

@englishforfunandcompetitio248 6 ай бұрын

Impatiently waiting for the next one in the series 😊.

@Akash_Saxena_2013 6 ай бұрын

Nice explanation...Thank you!

@electroniceyes36 6 ай бұрын

Waiting for the next video❤❤

@aibdraco01 7 күн бұрын

Thanks a lot.

@dydx_mathematics2 21 күн бұрын

What does the last thing mean ?

@ianthehunter3532 6 ай бұрын

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?

@pacolibre5411 6 ай бұрын

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.

@ianthehunter3532 6 ай бұрын

@@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?

@pacolibre5411 6 ай бұрын

@@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.

@ianthehunter3532 6 ай бұрын

@@pacolibre5411 Right, I see what was meant then. Thanks a lot!

@NovaLegacy-by6uv 6 ай бұрын

I live in the middle east since the digital paymeny is not avaible, how can I buy your book then?

@fufaev-alexander 6 ай бұрын

Write me an email :)

@Jeff-zc6rr 5 ай бұрын

That is the laziest definition of a tensor that they are generlization of matrices. They really aren't.

@flamingowrangler 6 ай бұрын

why the AI voice? i liked your voice in your other videos

@fufaev-alexander 6 ай бұрын

I no longer own a microphone. (If you're wondering why... it's "complicated". :D Short answer: extreme minimalism)

@flamingowrangler 6 ай бұрын

@@fufaev-alexander ah, that’s fair

@crehenge2386 3 ай бұрын

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.

@englishforfunandcompetitio248 6 ай бұрын

And one more thing to mention dear.....this AI voice is not acceptable. Get back to your own original voice.