A word on what's coming next: Part 2B is almost ready and it should be published in a few weeks. I decided to split them only recently. Then I plan another sorting video. Also planned for 2024: part 3 in the tensor series, and more.
Dude, you're releasing these videos while I'm taking solid mechanics and getting my first introduction to stress tensors. Granted we're doing a massive simplification of these ideas, but getting a more in-depth understanding of tensors is really cool and something that I'm sure will help me further into my degree.
AAAAA i love your videos and wish you could upload more often!!! They give me the nostalgia of late 90s/early 00s Science Channel but with topics that matter at a college level, and they're so comfortably explained!!
Keep making videos, you explained this subject very nicely and intuitively, giving me the motivation to learn this subject and not spend hours upon hours in frustration trying to get the intuition for this subject, you deserve more, thank you for this video.
The best explanation of Tensors I have seen, thank you, made it really clear and easy to follow. I can already see how these now apply to General Relativity. Really looking forward to 2B, the amount of work /commitment you have to put in to create such high quality material for us is staggering. Please keep it up.
I gotta say, the intuitive understanding hasn't arrived yet. For these special cases, sure, but not in general. Looking forward to the continuation of the series!
I have a stupid question. When I point my thumb to the magnetic field directions in this video, my other fingers points the contrary direction of the movement. Wasn't it supposed to be otherwise?
3:27 what makes this one non-linear? How are we supposed to tell this one is non-linear just by seeing one layer of it? How do we know that it doesn't scale linearly as it grows? You didn't show it at different sizes, or give any other reason why it is necessarily non-linear.
To check it's non-linear, check whether the weighted sum / linear combination rule holds (discussed in part 1 when explaining how to compute all the arrows on the sphere from the xyz-components). There are two ways to see this rule doesn't hold without having to do measure or compute anything. 1. The vectors at (1,0,0) (the right side) and (0,0,1) (the front) are both the zero vector. But you can see that some of the vectors at the points (x,0,z) (on the equator) are non-zero, meaning they can't be linear combinations of the x and z components (because a*0+b*0=0 for any a and b). 2. There are many points on the sphere where the vector on the opposite side of the sphere is not the negative of the original vector. For example the vector at (0.7, 0.7, 0) (approximately top right) is much larger than the vector on the opposite side at (-0.7, -0.7, 0) (bottom left). Similarly at (1,0,0) (the right side) the vector is 0 but at -(1,0,0)=(-1,0,0) (the left side) the vector is non-zero, i.e. not equal to -0=0.
A word on what's coming next: Part 2B is almost ready and it should be published in a few weeks. I decided to split them only recently.
Then I plan another sorting video.
Also planned for 2024: part 3 in the tensor series, and more.
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Can you make a video about the inertia tensor?
Please Sir! faster Part 2B and 3. I can`t wait😁
Please never abandon this series. There is not a single book that can compare with this masterpiece. Please.
Cannot wait! You've been doing GREAT JOB! Thank you
Every time udiprod uploads, it feels like a miracle
Because it rarely happens?
Please never stop uploading! Your videos are amazing!
Dude, you're releasing these videos while I'm taking solid mechanics and getting my first introduction to stress tensors. Granted we're doing a massive simplification of these ideas, but getting a more in-depth understanding of tensors is really cool and something that I'm sure will help me further into my degree.
I was so excited for this video, the electromagnetic tensor is such an elegant object that seldom has much youtube coverage
You've managed to explain tensors better than anything else I've found. Thank you
Have been waiting for this for a couple of months now. The 1st tensor video was very unique. Thank you for sharing your personal jewels.
AAAAA i love your videos and wish you could upload more often!!! They give me the nostalgia of late 90s/early 00s Science Channel but with topics that matter at a college level, and they're so comfortably explained!!
My goodness! What a beauty! Have no enough words to show my appreciation. A huge thank you!
I didn't expect this to go so much towards relativity! Having studied it, I'm excited to see how you'll continue!
Keep making videos, you explained this subject very nicely and intuitively, giving me the motivation to learn this subject and not spend hours upon hours in frustration trying to get the intuition for this subject, you deserve more, thank you for this video.
Thanks!
The best explanation of Tensors I have seen, thank you, made it really clear and easy to follow. I can already see how these now apply to General Relativity. Really looking forward to 2B, the amount of work /commitment you have to put in to create such high quality material for us is staggering. Please keep it up.
thank you for your amazing work.
Tensors are always difficult for me, and this video does a great job of visualizing them.
Thanks for your videos !!!They are great. I am a new sub. It's really easy to visualize with your videos
Your videos are amazing thank you for all the hard work the visualizations are so good!
Finally, the sequel we've all been waiting for.
thank u so much i was looking for tensor for a long time . that was the best way to visualize it
Can't wait to see the next video, thanks for the hard work ;)
Harika bir konu anlatımı. Çok işime yaradı. Teşeekkürler.
this kind of cotent is gem for maths students. There's no way i could understand all of this on a simple 2d blackboard.
What a fantastic video!!
HYPE!!! THIS IS SO HYPE!!! I LOVE THIS TH-cam CHANNEL!! HYPE AF!!!
You are genious !!! Congratulations for the video !!!
best video on this topic
This is good. I wish I had seen this in high school.
(:
Thank you🌹. These are solid 😅 concepts for magnetic and electric fields.
Just in time for my tensor calculus course
Be right back, rewatching part 1
thank you so much for the amazing explanation
man your cliffhanger at the end makes me so curious for the second part of the video!
Thanks ❤
Well explained with visualization, Would love to know what tools did use to create it 😃
Thanks :) I'm using Maya.
Thank you so much guys!!! This is great!!!
Lovely.
I'm interested to know if you plan to talk about fluid mechanics in this series. It would be great
4:20 idea of fiber bundle
4:49 section of bundle is what we call field
I gotta say, the intuitive understanding hasn't arrived yet. For these special cases, sure, but not in general. Looking forward to the continuation of the series!
atleast there is intuitive understanding. That alone makes me very happy. Anything is better than nothing.
YOU ARE STILL ALIVE!
:) THANKS
waiting for part 2B
and the comment readers... suggest me some books on tensors please... getting started (almost)
What are you using for animation? They look good.
Thanks! I'm using Maya.
thank you so much!
finally!
oh that's insane woah
Which software is used to generate this video ?
Maya.
Waiting on part 3
I have a stupid question. When I point my thumb to the magnetic field directions in this video, my other fingers points the contrary direction of the movement. Wasn't it supposed to be otherwise?
How do you make these visual simulations?
I'm using Maya.
@@udiprod Thank you
there's still no release for the 2B
It should be ready in a few days.
BABE WAKEUP NEW UDIPROD VIDEO DROPPED 🗣️🗣️
What kind of software is used to make this kind of video?
I'm using Maya.
this is the same as studying manifolds right?
What is the name of software?
Some real ASMR math
*applause*
I don't understand any of that, but thanks bro.
3:27 what makes this one non-linear? How are we supposed to tell this one is non-linear just by seeing one layer of it? How do we know that it doesn't scale linearly as it grows? You didn't show it at different sizes, or give any other reason why it is necessarily non-linear.
To check it's non-linear, check whether the weighted sum / linear combination rule holds (discussed in part 1 when explaining how to compute all the arrows on the sphere from the xyz-components).
There are two ways to see this rule doesn't hold without having to do measure or compute anything.
1. The vectors at (1,0,0) (the right side) and (0,0,1) (the front) are both the zero vector. But you can see that some of the vectors at the points (x,0,z) (on the equator) are non-zero, meaning they can't be linear combinations of the x and z components (because a*0+b*0=0 for any a and b).
2. There are many points on the sphere where the vector on the opposite side of the sphere is not the negative of the original vector. For example the vector at (0.7, 0.7, 0) (approximately top right) is much larger than the vector on the opposite side at (-0.7, -0.7, 0) (bottom left). Similarly at (1,0,0) (the right side) the vector is 0 but at -(1,0,0)=(-1,0,0) (the left side) the vector is non-zero, i.e. not equal to -0=0.
🛑Last episode was 9 months ago🤏
u r so early 😒
Nooo, I just realize he only uploads every many moons. :’)
The occasional silence scares me.