He's did it. He actually did it. Years of "you don't want to do tensors if you can avoid them" convinced me it would never happen. Heading in!

@ScienceAsylum

4 жыл бұрын

😂😂

@Lucky10279

4 жыл бұрын

I think he must meant that _working_ with tensors is usually much more of a pain than working with vectors, because there’s more information to deal with. I mean, it’s also a lot easier to work with scalars than vectors, because it’s less information to deal with. But if you _need_ the additional information, using vectors and/tensors actually makes things easier. It’s just that, when we don’t all the information, ignoring some of it can save time and hassle. It’s why we often pretend electricity and magnetism are separate forces - the additional information of how they’re actually unified as one force isn’t always necessary or helpful so it’s easier to ignore it. Another example is why still use Newtonian physics, even though we know it misses some fundamental things about how the world works - 99% of the time that information doesn’t make any practical difference and taking it into account would cost so much time. Yet, sometimes we absolutely do need to take it into account. GPS satellites, for example, wouldn’t work properly if not for GR.

@ModMINI

4 жыл бұрын

I learned some new things, but still don't quite understand. I guess I reached my limit. Is it possible to dumb it down more? Like I'm in 6th grade? :-( Thank you for your excellent videos!

@AstroRamiEmad

4 жыл бұрын

Would you please explain them to me? I got so confused!

@ScienceAsylum

4 жыл бұрын

@@Lucky10279 Yes, exactly that.

Apparently Tensors give you the same amount of stress not matter what orientation you describe it from. :p

@ScienceAsylum

4 жыл бұрын

Indeed.

@MsSonali1980

4 жыл бұрын

It works, I feel stressed.

@nokian9005

3 жыл бұрын

I'm stressed and I'm describing the Tensor using a gay voice. Does that count as orientation?

@davidhcefx

3 жыл бұрын

lol

@sarasmith5476

2 жыл бұрын

Guess I’m a tensor

Holy shit this made some sense

@shambosaha9727

4 жыл бұрын

I like how no one came to say Hey MajorPrep just to poke a finger at you😁

@jlpsinde

3 жыл бұрын

Hi Zach, love your videos too!

@pikazu2578

3 жыл бұрын

So you learn here and make your own videos... And got more subscribers than science asylum

@yassinesafraoui

3 жыл бұрын

Yeaah, it made me at least know why einstein is using such creatures when he talks about spacetime!

@ManyHeavens42

2 жыл бұрын

Nothing Holy ,soap&Water

6:43 Finally! Someone who states explicitly that angular momentum is a pseudovector, something for which I get a lot of kickback (some of it insulting) whenever I say or write it. The very fact that the direction is arbitrarily assigned using a right-hand rule when a left-hand rule will work equally well should send up warning flags.

@zemoxian

2 жыл бұрын

I’ve learned a little about geometric algebra. It deals with multivectors. When formulated in GA angular momentum is considered a bi-vector which is mathematically different from a vector and represents an oriented area rather than a vector. It uses a wedge product rather than a cross product. Which keeps the angular momentum in the plane of the product rather than perpendicular to it. Actually the cross product isn’t used at all in GA. It only works in three dimensions while products used in GA work in any number of dimensions. And pseudo vectors and pseudo scalars are easily identified as separate mathematical objects.

@dravyamehta6180

Жыл бұрын

it was forced to be a vector so yeah youre correct

@wayneyadams

Жыл бұрын

@@dravyamehta6180 Read my response to Jamal Willis.

@rv706

Жыл бұрын

@Jamal Wills: Likewise, the magnetic field is 2-vector, not a vector. (I think naturally it'd be a 2-form and the electric field a 1-form, but by metric duality you can think of them as contravariant instead)

I owe you a great deal of thanks man. I'll be 2 years clean tomorrow, and when I was going through the worst part of kicking my habit it was your videos that kept my mind off of the pain. I had lost everything. My wife, my kid, my home, even wrecked my car. I laid awake every night going clean out of my mind, and it was watching your videos that kept me distracted enough to be able to deal with it. Prior to grabbing your phone and jumping on youtube all night the anxiety of withdrawal would drive me to go out and "find" a way to get well in the morning. I absolutely love science and technology. In my 2 years clean I've built my "circuit room" which amounts to some electronics equipment, 3d printer, a computer, basically everything I can find to design and build the things I think up. I am forever grateful for people like you on KZread. You have so much knowledge about the things that we are all curious about, and the drive to share what you know is a beautiful thing. Keep it up man, and thank you from a fellow crazy..

@ScienceAsylum

4 жыл бұрын

I'm really happy that you got your life straightened out and it's nice to hear that my videos helped. Your circuit room sounds awesome! Hobbies are a great distraction 👍

@user-ki7qh5rc4h

10 ай бұрын

Are you still doing well ? Props to you if so. I'm jealous of your circuit room though lol

@sroydetroy6404

8 ай бұрын

@@ScienceAsylum Can you please explain why the Magnetic field is not a real vector if the "4-velocity" is by simply applying the 4th dimension of time? I didn't really understood that part. Thanks otherwise your videos are awesome.

So 40 years ago when I got my undergraduate, Nobody could explain it like this. My study group after about a week finally figured it out for ourselves. We knew why it was needed and what it did, but the actual gearshift eluded us for a bit. This guy is real good!

This video is shear genius.

@shambosaha9727

4 жыл бұрын

This comment is genius

@acatisfinetoo3018

4 жыл бұрын

Yes but is the shear stress worth it. i mean it makes me really tense(or).

@nylehaywood2471

3 жыл бұрын

Ya

@punkisinthedetails1470

3 жыл бұрын

Hilarious, don't strain yourself.

@davidjohansson1416

3 жыл бұрын

Really?! Hahah I don’t mean to boost your ego but that joke is timeless.

*Clarification 1:* At 6:06, I showed an animation where angular momentum goes from constant to variable in a coordinate translation. That is only one _example_ of how a pseudovector can misbehave under transformations. They can also pick up signs under reflections. They can even pick up entire coefficients under rotations and changes to non-Cartesian coordinates. It all depends on the pseudovector and the transformation. The point is that _real_ vectors don't do _any_ of this. *Clarification 2:* At 2:06, I said "matrices and tensors are not the same thing." Matrices are just a way of organizing numbers and I mean it. It is true that all rank-2 tensors can be written as square matrices, but so can rank-2 _pseudotensors._ Vectors can be written as column (or row) matrices, but so can _pseudovectors._ *Matrices are just a way of organizing numbers.* Matrix operations do work the same way as tensor/pseudotensor operations, but only if you order the matrices correctly. With tensors/pseudotensors you don't have to worry about multiplication order. With matrices, you do. That's why using matrix notation is not recommended.

@jskratnyarlathotep8411

4 жыл бұрын

want more examples of tensors! Especially if they are rank 3 or higher

@uesdtosignin1038

4 жыл бұрын

You make me a day. Now I understand tensor.

@uesdtosignin1038

4 жыл бұрын

I have a question (about pseudotensor) but it is about how to define 3D-spinning object ? I ask this question first time when I was in high school and when I try to find the answer of that question. I end up to tensor and I don't understand it. Now I find your video but still can't answer that question. However, your video make me know that it is about pseudovector or pseudotensor instead. To understand the question let use something (I called it spinning game), imagine you have a sphere and ring shape spinning machines. When you put a sphere in a ring and turn it on, The sphere spin like in this picture. sv1.picz.in.th/images/2020/01/17/R5AFJN.png (You can create new ring if you want without any size or number of ring but you have only one sphere.) You can do same thing to the smaller ring as well by spin it with bigger ring and you can use that spinning ring to spin any objects inside it as well. If there are more than one thing inside the ring you can choose to spin either each object or all objects. By this way, is there any way to define any spinning sphere result that you can get from this game ? How many number do we need to define ? The part of answer that I know is, If you do this only one time, any result can be define 3D-angular momentum pseudovector. (You can spin it in many direction but all of them can be define 3D-angular momentum pseudovector.) But the real question start to be complicate when you do this more than one time in different way.

@jeffreyhersh908

4 жыл бұрын

Angular momentum can be tricky however if you use the language of Clifford algebra I find their description much easier, Angular momentum is then a bivector (which you can think of as an oriented plane or a plane with an intrinsic sense of clockwise or counterclockwise rotation.... this is analogous to a vector being a line with a sense of direction). This also allows you to define angular momentum in dimensions other than 3. Another advantage is that you don’t have to worry about the behaviors of pseudovectors vs vectors.

@localverse

4 жыл бұрын

You could probably add a notation comment to those times in the video, directing people to look in the comments for these 2 clarifications.

The ability that most life forms have to predict motion is pretty impressive and shows how important it is for survival.

What I love about your channel is that you actually get into things at a somewhat sophisticated level, even with math, while still being entertaining and explaining things really well... and having great visuals. Most channels meant to explain science will either be dry if they go into detail and sophisticated math, or not go into detail or sophisticated math if they have good pedagogy and visuals. I really can't overstate how awesome it is that you put it all together! This is an invaluable channel.

@ScienceAsylum

4 жыл бұрын

Thanks! 🤓

@maheswarankp7404

Жыл бұрын

Okyk

Software engineer here, with a lot of newly found love for physics because of this channel. Thank you Nick!

I swear this is the most underrated Channel on KZread

You have educated me better than over a decade of physics teachers and you didn't get any tax money....

@WarrenGarabrandt

4 жыл бұрын

He was a teacher at a school, so I'm pretty sure he did get some tax money. Now we support him on patreon where he does great stuff for us.

@WarrenGarabrandt

4 жыл бұрын

@Daniel Braga well, everyone who watches at least pays attention, so there's that if nothing else. Puns aside, I'm happy to help out a talented educator, and the monthly live stream is cool.

@ModMINI

4 жыл бұрын

You have sought out this knowledge. Most don't. That's what the tax money is for. Tax money works great for ensuring we live in a society with a decent minimum standard of education. If the masses are uneducated, we are all less well off.

@Mormielo

4 жыл бұрын

Username checks out

@striker851

4 жыл бұрын

I'm sure you were the best, most motivated, focused student in school. None of those teachers did anything at all, did they? All horrible, they are.

I just got the notification for this and I immediately shouted "YES! I've been waiting so long for this!" I was chatting with my algebra student who was very amused at my sudden excitement but immediately said she was going to watch it too when I said it was by The Science Asylum.

@ScienceAsylum

4 жыл бұрын

I knew you'd be excited for this one. It's that conversation with you that got me through the details I needed to make this happen.

@gustavoehler

4 жыл бұрын

At first I read “I was cheating with math student...” 🤣

@Lucky10279

4 жыл бұрын

@@gustavoehler 😆

@Lucky10279

4 жыл бұрын

I'm really glad that conversation helped you understand the concept better. :)

@randomdude9135

4 жыл бұрын

Didn't know lecturers saw these kinda videos. My Physics lecturer was watching a comedy show when I went to ask him something 🙄 Your students are lucky

Dude, your animations are beyond top notch. I don't think anyone else out there does science animations that are so attractive, informative, and easy to understand. They make some really complex concepts far easier to understand than they otherwise would be.

1:54 That right there did it! I never fully understood why are there so much individual types of forces applied to only 3 dimensions, and the way you showed it right there made it all clear, thank you!

In my bed, ready to sleep. Things changed with one notification of crazy asylum.

@nootums

4 жыл бұрын

How do you do, my fellow Indian?

@nehamotwani6477

4 жыл бұрын

@@nootums well, going to sleep again. Understanding tensors in dreams.

@anilkumar0305380

4 жыл бұрын

Same

@bijeshshrestha2450

4 жыл бұрын

Same

@jokkehasa5298

4 жыл бұрын

Same.

Q: who is more tense, Mister Tensor or Mister Tensor's son? A: Mister Tensor's son, he is a little tensor.

@cheeseonhead

4 жыл бұрын

Willy Sound Change the first tense to uptight and it might be perfect!

@ProLogic-dr9vv

4 жыл бұрын

Thank You .

@prateekkarn9277

4 жыл бұрын

Well, that's *intense* I'm sorry I'll leave ok plsdonthurtme

@dahawk8574

3 жыл бұрын

"Doctor, I need help. I'm a teepee. I'm a wigwam. ... I'm a teepee! I'm a wigwam! ..." "Relax. You're two tents."

@badlandskid

2 жыл бұрын

Da Hawk ahaha... that was my first thought when I read the OP

By the way, this video prompted a discussion with my algebra student about tensors. She didn't understand the video because she hadn't learned about vectors yet, so we had a discussion about the basics of using vectors to represent physical quantities, then about how we can use different coordinate systems to represent the same things, and which one we use generally depends on what's most convenient in the context. Then we talked about fictitous forces and how centrifugal force is present if we set the origin with the frame of rotation but it disappears otherwise, and how that means it's not a tensor quantity (the explanation of centrifugal force is from your video about that, as that's part of what's made me understand it). That discussion ended up being a great learning experience for us both and it wouldn't have happened if we hadn't both watched this video. Keep up the good work Nick. I've learned so much about Physics from your channel!

Great job. I had to master basic tensor algebra for General Relativity in college, and it took me a good month to sort of grasp what they were conceptually. You explained it better in 5 minutes than my college math professor did in a week. And he had the advantage of knowing his audience already knew vector calculus. .

I was stock with higher dimension tensors... And this really helped; Use: 'index notation, not matrix notation' Thanks!

This guy is like Richard Feynman, a great explainer. Some one only truly understands something if they can break it down to the simplest components, yet show the more complex idea.

I wish there was such a channel back when I was at graduate school in the 90s. What an efficient way to refresh such concepts after so many years.

My new favorite channel. I wanted to understand these concepts for several years now; almost a decade. Never before have I found such intuitive explanations of these ideas. Thank you! Now I just need to learn calculus of variations?

Wow, this is great! And I'm definitely going to have to watch this one three or four times for sure to absorb what you are saying here, not because it is not well said, but rather you are saying a lot, and saying things well worth rewatching to full get full jist of just what you're saying.

@RonLWilson

4 жыл бұрын

Better yet, I just bought a copy of your book.

@gazsibb

4 жыл бұрын

...hmmmm I was going to say I'd need five to twenty watches but who am I kidding. Now where did I put that book?

@Memorise4

Жыл бұрын

Exactly. Especially when it's been 17 years of post Graduating cramming the shit out of concepts.

"A tensor is a number or collection of numbers that maintains its meaning under transformations." Thank you! That is a great sentence that I will repeat to myself 1000 times.

Great video! You always have a great balance between precision and simplicity.

This video is really good. If the sheer amount of time I’ve spent trying to understand tensors is any indication, there’s a _lot_ to unpack in this topic and you did a really good job presenting it in a way that people without a lot of math background can understand. That’s not an easy thing to do, so good on you for doing it!

@laxminarayanbhandari855

2 жыл бұрын

Exactly. Tensors is really math heavy topic. I am studying linear algebra right now using Lang' Introduction to Linear Algebra. Can you please suggest me a book on tensors?

@Lucky10279

2 жыл бұрын

@@laxminarayanbhandari855 I don't read too many textbooks. I mostly do online sources. If you just want the general mathematical definition of a tensor, it's a member of a vector space that satisfies the tensor space axioms (don't remember the axioms off the top of my head but you can Google them). If you want some intuition, I believe the math3ma website has some really good articles explaining what the formal definition actually means intuitively. There's also an article called something like "How to overcome tensorphobia" that's really good.

@laxminarayanbhandari855

2 жыл бұрын

@@Lucky10279 thanks for these

Really like your way to explain complex stuff. Just got your advanced theoretical physics book. I love it - Thank you!

Fun video lesson to watch. I think that I can sense why this one had you a wee bit more nervous than usual. I also think you pulled it off brilliantly. Got a little D&D dicey there for a few moments, though. One of the best science channels on KZread.

Very rarely do I click on newly published videos. Keep them coming Nick! Please do more QFT stuff, particularly how certain 'actions' actually transpire on the quantum or even angstrom level. For example, whats actually happening between 2 surfaces when they rub against each other i.e. friction? The weak and strong nuclear forces create what we call normal force? Make 2020 awesome Nick!

Dear Professor, this is the most helpful for me to understanding the real concept of tensor. I want some series of videos on coordinate systems also .

Those animations helped me a lot. Satisfied.

Thanks a lot Nick! I really needed simple explanation of tensors ....

Wow, so much insight and clarity, well done!!!

How can someone be so informative and witty at the same sapce-time, Hats off !!

@The Science Asylum This is one of the best videos by you I've seen! When I was a physics undergrad, I had to take Mathematical Methods for Physicists. I passed the class just fine, but the section on Tensors (which we didn't spend too much time on) was confusing as hell with all the weird notations and transformations. If only they explained it intuitively as you have. Thank you! Also, I took general relativity and completely flopped at that! So hard! Would be cool if you did some videos on that.

@ScienceAsylum

4 жыл бұрын

Oh, don't worry.... GR is coming.

@DANGJOS

4 жыл бұрын

@pyropulse What are you talking about?? When did I say I didn't know what a tensor was? I said we learned it in class, and it was difficult to understand. It's not straight forward. The math methods for physicists class covered a huge amount of math in just *one* semester. So much so that we were in a different topic literally every week! You try that out. The university realized how insane that was, and decided, after I already passed the class, to split the class into two semesters. So now it's math methods for physicists I and II. Unfortunately, that was too little too late for me. I don't know if you've ever studied physics at university, but at least at my school, tensors were not really necessary for any other classes except maybe small parts of special relativity and E&M. And in both cases, we just used matrices, not the confusing notations I was referring to.

@Lucky10279

4 жыл бұрын

The Science Asylum That’s awesome! I’ll be excited when those come out. Any idea of the timeline?

@jskratnyarlathotep8411

4 жыл бұрын

@pyropulse it looks like that only when you've finally managed to understand it intuitively. Before that it is just a bunch of numbers with some magical formulas being applied to them. Same for integrals, derivatives, maybe even fractions, but i can not recall having trouble with understanding that

@ScienceAsylum

4 жыл бұрын

@@Lucky10279 Not really, unfortunately. Whenever I try to plan out video topics too far in advance, I never end up sticking to the plan anyway. I'm sure I'll get to it in 2020. I'll _probably_ get to it by summer. That's the best I can do right now. You know how long it took me to finish this video.

Finally!! This helped a lot with distinguishing 3D transforms vs 4D transforms, I’ve been trying to study tensors for a few weeks and this helped tie everything together!!

Its crazy how simple so many of the most esoteric topics become when they are explained by someone who understands them well. Thanks!!!

Wow, I'm so excited to find you here.Your wonderful video answers the questions I met in my university study！Thank you！！

I just recently finished my undergrad in physics, and I swear everytime I asked someone about tensors, they just babbled the mathematical definition at me, makes me think about how much we all just take for granted and don't really understand. Great video!

@rv706

Жыл бұрын

But the mathematical definition is the simplest and the most intuitive one: a (covariant) tensor field is a field of multilinear forms. Period. For the mixed case: a p-covariant and q-contravariant tensor field is a field of q-vector-valued p-multilinear forms. A q-covector is just a (linear combination of) wedge of p vector fields. Multilinear algebra is not difficult, really, and it clarifies tensor fields a lot.

This is a really good explanation, and for most of it I had no problems. I'm just wondering one thing: how do you rigorously define the "meaning" of a tensor? What property of the tensor isn't changing?

this is the one of the best videos I had ever watch on you tube, there is so much of information in a small video that one can't imagine ❤️❤️👍

You’ve done it again! You’ve taken a very complex issue and made it understandable.

Einstein Must be very proud of your explanation.

@ScienceAsylum

4 жыл бұрын

This video definitely sets me up to do another on Einstein's field equations.

@danielsteel5251

4 жыл бұрын

Agreed. "A collection of [measurements] that *maintains its meaning* under transformations" has got to be one of the cleverest wordings I've ever heard. I imagine Einstein would have nodded approvingly, on hearing it. 👍

The understanding of concepts as abstract as tensors benefits from exposure to as many different perspectives on the subject as possible. This, for me, was a novel perspective and I found it very helpful and disarming.

Thank you for everything you do...one of these days I want to show my gratitude to you for helping spread the awesome power of physics and just science in general

We need a part two on tensors. I still have the book on tensors and maths which I really wanted to avoid for the next year's course but after this video you changed my mind.

so my favourite KZreadr (spoiler, Nick: it's you!) uses my favourite software (Blender!) to illustrate a topic that has both intrigued and interested me for years. it's like Christmas in January!

Fantastic explanation, you definitely made it so clear for me.. Great job crazy

THANK YOU! As a programmer, I'm trying to understand tensors; I’m learning the math and computer science of tensors for applications with packages like TensorFlow (used for AI development). Breaking down each definition with visual aids helped me unclutter the confusion between what makes something a 2-rank tensor and how it can still be considered 3-dimensional.

@ScienceAsylum

18 күн бұрын

Glad I could help 👍

Great explanation of tensors. Always had trouble connecting the tensors of mathematics and tensors of physics!!!

I swear, this is the best channel on all of KZread.

Wow! Congratulation! Excellent explanation! It is simple and easy. So the next challenge, I guess, would be how to explain to students a concept of covariant and contra variant tensors without messing up lower and upper indices. It would be an interesting challenge.

First video of The Science Asylum I watch. Subscribed! :D

I want nothing but you as my teacher whom I can ask my countless question list.

his video about tensors is the one who easily taught these mathematical and physical objects. And I can say that for sure because I've read several books and watched several videos on the subject!

Wow this video really helped understanding tensors. At Uni you are just dealing with its math and properties so you don't get to understand these stuff. Now it's actually making sense to me :D

Thank you, you cleared my those doubts which otherwise would have taken so many hours to understand via text books, thank you from heart....☺️

By far, this is the best explanation on tensors around ! Bravo !

Wow, as a programmer, this make me realize that I've probably made rank >1 tensors before. Awesome video. Tensors are to vectors in the same way as tables are to lists, at least for rank 2. Neat!

@flixerstudios1862

Жыл бұрын

No, you're only linking it to linear algebra. Not tensor calculus. How do tables transform..

@kangligu9472

Жыл бұрын

This means that folding tables can be well expressed in tensors correct?

A video about Geometric Algebra would be interesting as a follow up! In some ways they're the best type of multivector I heard.. I feel like you're the only guy that can do the topic justice!

@Lucky10279

4 жыл бұрын

Sho Am Geometric algebra is awesome, but it’s such a huge topic that one video couldn’t begin to scratch the surface.

@thstroyur

4 жыл бұрын

If Hestenes can't make it intuitive, I got no clue as to who ever will

@shoam2103

4 жыл бұрын

@@Lucky10279 I feel like we need an abundance of short videos about an introduction to the topic!

@shoam2103

4 жыл бұрын

@@thstroyur and Mikayla, but it always good to know there are people who've even heard of it. Not to mention, even understand it! The best one I've watched is by Mac T Borsch

I think the last time I checked, maybe a year ago, your book was only eBook, but now it's also in paper form! Yay!!! Can't wait to get it sometime soon, even though I am currently not studying physics. I want to understand how math works better first, so I'm studying foundations of mathematics, while also pondering away at philosophy and philosophy of language. But once I feel content enough with myself, I'll get back at it! As always, great vids.

Oh my God dude this is SUCH A GOOD VIDEO!!!! It has been so hard to find a source that doesn't give the concise definition that basically gives no information. This was such a joy to find! I feel confident that I can come to understand what I currently don't but the analogies, and pictures provide the perfect context. I wasn't expecting to find something this comprehensive today. I will be recommending this to everyone in my Fluids class. Virginia Tech sophomore signing off.

@ScienceAsylum

3 ай бұрын

If you want something more thorough, I have a whole chapter devoted to tensors in my book. Advanced Theoretical Physics (Paperback): www.lulu.com/shop/nick-lucid/advanced-theoretical-physics-a-historical-perspective/paperback/product-24250687.html Advanced Theoretical Physics (eBook): gumroad.com/l/ubSc

I used to be a structural engineer, and now I'm in computer science... Your explanation using stress tensors really "cemented" this in my brain. Thank you! :) :) I'm much less "stressed" now.

@ScienceAsylum

3 жыл бұрын

Glad I could help! 🤓

I now just realized why in programming the common notation to use for 'for loops' is 'i' and then 'j' when dealing with nested loops. You use said loops to go through arrays, which can be the same as vectors, which are tensors, and to access an element from the array you need to index it. The variables that we used to hold the index value as we go through the array with the 'for loop' are the freaking ranks! I mean, kinda, normally the implication in programming is that you would need a rank per dimension of the array, which is no really the case with tensors as I saw in the video, but still.

@infiniteplanes5775

2 жыл бұрын

That was how I was visualizing it too

@Michael_L_

2 жыл бұрын

Actually I think it goes back to the days of FORTRAN. IIRC, the letters starting with "i" (maybe "i" through "n") were implicitly defined as integers so they were easy to quickly use as loop counters.

@otakarbeinhauer

2 жыл бұрын

I thought "i" stood for "iteration". With nested "j" loops, your point makes more sense.

Finally , a video about something I had trouble with in physics !! Thank you !!!

Explaining complex things simply is an art that only masters of the field can handle. Incredible energy transformation. Thank you

You, 3blue1brown, Eugene Khutoryansky and many more are amazing, thanks for the videos!

@ScienceAsylum

4 жыл бұрын

You've put me in good company there in that list 🤓

@jwingo7257

3 жыл бұрын

Agree, you are doing what schools should. Thanks for explaining so well. You’re an amazing explainer. To me, that’s even better than a teacher. Explainers cut through the crap and make you understand.

After all those years of watching KZread videos about tensors, Jan 15 is when I could finally understand them. HECK yeah

Great video. Clear concept. Basically covered an entire textbook on linear algebra, and another three chapters of another text on tensors in 10 minutes.

@EatonArrsenik

2 жыл бұрын

He most definitely didn't...

A very well communicated and comprehensive explanation. I now know what a tensor is, and why they're useful.

i literally have in my to-do list "look up what the heck is a tensor", and suddenly this video appeared! awesome!

"Magnetism is a pseudo vector" aha that's one doubt my teacher never understood. Thanks man, now I understand electromagnetism so much better. Because as soon as you said angular momentum is a pseudo vector i was like then induced electromagnetic fields have a vector that is pseudo, i thought that couldn't be right but you explained so well. That was the only hard part for me. Thanks again so much man.

Excellent video Nick. You’re a great “explainer.”

The BEST concise explanation that dispels the mystery of tensors

I wish this was here before my tensor exam, from 1 video I understand more than from the whole semester

So, I was reading up on some artificial intelligence stuff for college and there were mentions of tensors, so I quickly googled it just to get the idea what it was, I read up on Wiki and was completly lost so I brushed it off since I didn't really NEED to know what tensors are to continue. Jump forward a few days and last night I dreamt about tensors the whole night, I almost couldn't sleep because of them for some reason. So I wake up and I'm like, "well, I guess I have to learn what tensors are", I google it and this time I see a "The Science Asylum" video on tensors, I just think to myself "Damn, I'm in luck" and move into the video.

WOW! thank you ... at first i thought that this was going to be to over the top or maybe even goofy , but that was the best explanation i've seen !

Amazing explanation!!!! That's the intuitive vision that every professor should transmit to students before formalize the issue.

I need to rewatch this it great as usual.

I'll tell you, it's a thing that transforms like a tensor.

@ScienceAsylum

4 жыл бұрын

Definitions like that are the reason I had to make this video.

@varer

4 жыл бұрын

@@ScienceAsylum "Circular definitions are definitions, that are circular." paraphrase or quote (don't remember) from Isaac Arthur.

@Lucky10279

4 жыл бұрын

The Science Asylum Reminds of when i kept hearing that a vector was a member of a vector space, then, when I asked what that was, it was defined in terms of vectors. Then I found the list of vector space axioms, but it still took me a while to figure out how those axioms had anything to do with the usual geometric interpretation of a vector. Hard to believe that was only about a year ago.

@zoltankurti

4 жыл бұрын

@@ScienceAsylum but in the video they are also defined with their transformation properties, so what's the difference? These definitions always include the concrete form of transformations.

@localverse

4 жыл бұрын

@@ScienceAsylum And you clearly understand the subject. Circular definitions reveal that the definition writer doesn't quite grasp the real meaning. Even though I had a difficult time following the video, my difficulty is only due to a lack of algebra skills and physics.

Excellent lecture and channel. Absolutely superior!

Wow, this is the most amazing tensor explanation that its own awesomeness goes far beyond my imagination.

If there is ever a KZread University...please be the head of the Physics department.

I remember asking my professor in detail about tensors. I didn't ever watched the video yet, but your explanation is way superior. Edit. I would really like to buy your book. I can't wait to get a brand new insight on physics. Also, do you plan adding some terminology about thermodynamics? I think it would be awesome to have it there.

@ScienceAsylum

4 жыл бұрын

I will not be adding thermodynamics, or any other chapters for that matter. That book took _forever._ I'm not ready to be writing again.

im struggling with my higher level physics classes ( like I want to quit cuz I suck so bad at setting up problems). This video finally showed me what a tensor was, which everyone seems to talk about but no one attempts to explain. Thanks again for making me feel like I can understand complex topics. I wish my classes could be 1/16 as good

@ScienceAsylum

Ай бұрын

Glad I could help a little bit. Good luck!

Hello Sir Nick Lucid, i regularly watch your videos, and i get completely amazed by your knowledge and the way you explain the most difficult topics.... I just want you to create a short video on tesseracts and please explain something more about the 4th dimension.... I will be most thankful to you...

@oldhounddog01

Жыл бұрын

if you havent read Richard Abots "Flatland" start with that. After watching so many Avenger movies I didn't realize the importance of what the tesseracts is! If I understand it correctly it is a 4-dimensional object. Cool...

I've got a feeling this is a prelude for a general relativity video!

@feynstein1004

4 жыл бұрын

In the next video: the stress-energy and metric tensors

@ScienceAsylum

4 жыл бұрын

.....maybe ..... 🤫

Great video!! I wished professors would explain as clear as this

@ScienceAsylum

Жыл бұрын

Thanks! 🙂

thanks so much to share this. just discovered your channel. Amazing work.

@ScienceAsylum

Жыл бұрын

Glad you enjoy it! 🤓

Thank you Sir, I finally understand (I hope) what the function of tenssors is! Again, thank you.

Aaaaasooom As always entertaining and educational Thank you for the great vid!

Wow!! You're not afraid to take on the big dragons. Best effort I've ever seen. 😀

Great video. I will watch it several times to let it all sink in. I will see about buying your book.

Man, u r great at explanations and animations!

YES!!! FINALLY!!!! I waited such a long time for this😅😅😅 I've to watch it a few more times though, it's a lot of information to digest in one take. I have a question, how does the angular momentum change when you change the coordinate system? P.S : a new clone, nice :)

@ScienceAsylum

4 жыл бұрын

Angular momentum is defined as position times linear momentum. Since position depends on coordinate system, so does angular momentum.

@shayanmoosavi9139

4 жыл бұрын

@@ScienceAsylum oh, I thought the "r" in the *L* = *r* × *p* formula was calculated from the axis of rotation. In every problem that I solved so far the axis of rotation was either the x, y or z-axis so I assumed that "r" was calculated from the axis of rotation. Now I understand my mistake. I need to study these concepts deeper and pay more attention to the definitions. Thanks nick :)

@shayanmoosavi9139

4 жыл бұрын

@@ScienceAsylum by the way, what physics textbook explains these concepts clearly? I have Halliday-Resnick but I don't think this book explains them in enough depth. I also need a book who isn't too technical because I get lost easily.

@vilkillian

3 жыл бұрын

@@ScienceAsylum no it's not, it's a distance, relative to an axis you've chosen to calculate from, often it's axis of rotation. Coordinates system changes, the axis of rotation does not

You're a fantastic youtuber. Nobody else has explained Tensors as easily as you have. Great job.

Awwwe, Nick. It's been a while. I needed this! Thank you sir!

@ScienceAsylum

4 жыл бұрын

You're welcome! 😊

@Poop_Deck_Pappy

4 жыл бұрын

@@ScienceAsylum I will return as a supporter. The life of a researcher has been a bit topsy turvy.

That just made my years of casual study of relativity make a lot more sense in an intuitive way. I just trusted the math. No one has explained it that way and frame dragging now makes sense in terms on non-euclidian geometry such that I could approximate a graph in my mind without math in constantly changing or accelerating coordinate spaces.