Is not a vector itself s first order tensor?

I really want to thank you from my heart.

I miss the word "linearity" in this explanation

You lost me at the title

Thumbs up squared

God

The conclusion answers the videos topic question in a single sentence. Quoted "Tensors are the facts of the Universe" Brilliant video, thank YOU.

Why does youtube always recommend this to me after the exams!!!!😓

From daniel course

2:58 asshat?!😮

Excellent!

Best professor i ve ever heard

Awesome but i still don't get it

have a feeling this vids about to get a L O T more popular

Thank-you I had heard a friend talk about the tensor when discussing his Physics studies almost 60 years ago, and this has been very helpful!

great❤

Oh, I thought it was another name for boner.

outstanding

The internet has changed humanity from billions of individual brains into 1 gigantic brain. The quote "the whole is greater than the sum of all parts" is going to push humanity forward at lightning pace.

I would have liked to see a simple 2D matrix as a stepping stone between 1D vector and the Tensor. I felt the vector introduction was a bit too long and simplistic, then the jump to the 2D and 3D Tensors, each with multiple components, was too fast for me to maintain/keep up a clear understanding at the deep/simple intuitive level. E.g. why is a 3 by 3 inertia tensor called a "tensor" and not simply a "matrix"? I would like to see some clear explanations of these things - but am left still feeling very hazy despite such math being important to my own research area.

I think it might help to hear some practical applications of tensors

Absolutely beautiful, brilliant and wonderful. This guy is in a league of his own!

Here at the end of 2024 absolutely loving this content in an age where vectors and tensors are extraordinarily important and at the very heart of the burgeoning AI revolution.

1:00 "the force of gravity" ? are you sure ?

Literally the best explanation i've seen so far. More teachers should learn from him to put complex things to a simpler level

I went to buy my son a foam dart gun for Xmas and they were out of extra darts, now I know who bought all of them!

I met my wife in 1976 when she was showing me how to calculate phasors. She thought I was stupid, but I was looking down her shirt.

You're missing a basis vector in rank 3 tensor. It appears you're missing the y basis vector. :)

0:00 vectors 8:48 draw the fxking owl

oh my... i remembered my high-school

Same for all observers.....powerful!

I first heard of tensors as a boy. Alfred Bester wrote THE DEMOLISHED MAN, a novel about a society full of psychic individuals and a man who wants to murder another man despite all the mind-readers present. Part of his plan is to cloud his thoughts with a repetitive jingle which is "Tenser, said the tensor. Tension, dissension, apprehension have begun!"

I absolutely love that this man enjoys explaining things to people so much, that he took the time to arrange nerf darts and wooden blocks to explain something pretty complex for people who may be struggling to visualize it… Thank YOU for your time sir!

I still don't understand when you would need a Rank 2 Tensor to describe a force on a body. For example, look up a stress tensor...how does o33 differ physically from o23 or o13? Aren't they all forces that are pushing up/down with the same magnitude, no matter what plane (x,y,z) they are pushing against? In other words, how could the force in the z-direction on an xy plane ever differ from the force in the z-direction on an xz plane? I just don't understand how physically this would look. Does wind not shear in the same direction & magnitude at one spot no matter what plane it is shearing against?

Start losing me around 8:20

6:23 Cute the ways he made the model vector 5 units long so a 3-4-5 triangle would work!

A video for idiots - right?

Thank you Dan, for your time. Such a great video.

You sir are an exceptional teacher. KUDOS

Nice English furniture and fun refresher. I suppose the compact notation Ae^ia+b is also a tensor yes ?

I just lost 12 minutes

Having done Maths at degree level 40 years ago, and just treated tensors as a completely abstract idea, I must say a massive thank you for making this clear to me in a concrete manner, and reviving long lost knowledge for me!!! Thank you sir!

What's your vector Victor

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Great explanation!! Fingers-crossed a similarly good one for Fourier Transforms will eventually follow... :)

These UTube “classes” have taught me in a more understanding way than i ever could learn in a high school class by teachers just talking

This is a really great video, but I think you lose me in the last minute. I will have to go learn the significance of observers, transformations, and reference frames. Thank you.

There is a point in this tutorial where we go from a lineal dimension into an area, which is, of course, two-dimensional. As there is no explanation of how this occurs I am unable to comprehend anything thereafter. Am I the only dimwit in this audience, or can someone please explain this to me?

Why does he say the word component so weirdly

Just multi dimenssional array, a lot of trash talking to say that 😂