I am a HS student and got this recommonded, somehow this explanation of a concept i am not aware of is so good that it kept me hooked the entire time. Good work guys
Hey everyone, I love the energy and enthusiasm in this video, and I learned a lot from it! However, I found the structure a bit confusing at times. If I were in your shoes, it might come down to not fully identifying the target audience. In general, I think it would be helpful to start your videos with a brief disclaimer about the concepts you assume the viewer is already familiar with. Also, when using linear algebra to describe transformations, it’s incredibly valuable (and one of the strengths of math channels using MANIM) to establish and visualize the coordinate system before diving into the core idea of the video. While your visualizations were excellent, they were scattered throughout, and by the time you explained the coordinate system in depth, the video was already 60% over. The same goes for group theory concepts-it’s understandable that you don’t want to reintroduce them every time, but maybe creating some quick, reusable animations (like a 'Sailor Moon-style transformation') to briefly remind viewers of these ideas would be a great touch, especially since you'll revisit them often. Another thing to consider is your pacing. It felt like you were sprinting through the concepts in this video, with the only real pauses happening when the speaker switched between Luca and Sophia. Try slowing down! This will help emphasize the simpler ideas you’re going to build on later. Once those ideas are combined, you can pick up the pace, but slow down again when you approach the core message of the video. You did this a bit after the 6-minute mark, but by that point, my head was already spinning. When you slow down for a key idea, it could even work as a "ready-made" TH-cam Shorts clip. Your enthusiasm is infectious, and with your use of MANIM to explore complex geometric ideas, I can see you growing alongside the rest of the math TH-cam community. Keep up the great work-looking forward to your next video!
@Tabbywabby777 hi Samuel, thanks for the detailed comment, and all the valuable advice. We will focus on the suggestions you gave us to improve the quality of the videos. Thanks so much, really! 😎
While I learned a lot from this video, I'd also like to add that it might be helpful to "set the stage" in the beginning, giving eg the example in the beginning which you show in the very end. Also, it might also not be the most interesting for the audience to motivate the video by manifolds and topological groups, if you don't explain them readily after.
This was very math heavy... I haven't used matrices in 11 years, so it was hard to follow. But I think I could've used something like this 2 years ago :P
@@Khantia if you check pdf link in the description of this video, and follow along there, I’m pretty everything will be clear 😎 but anyway the video is good overlook of the problem
The graphics shows the object rotating around its center. But (as you state near the end of the video) the rotation R is around the origin. So the graphics doesn't really represent what the formulas say. BTW, while the new form resolves the "one person teaching the other" problem of your earlier videos, it also removes the dialogue aspect, which I think is unfortunate. Maybe you can find a form that reintroduces the dialogue aspect without reintroducing the one person teaching the other aspect. I think your videos would profit from that.
@@positivenozy6065 we love reading analysis as well!!! We are making one right now about something very interesting in calculus, and at the end we calculate everything but only using analysis. You will like it 😎
@@dibeos I would love to see more in number theory, but I am also interested in abstract algebra, p-adic numbers, the Langlands program, elliptic curves, l-functions, topology, etc.
I am a HS student and got this recommonded, somehow this explanation of a concept i am not aware of is so good that it kept me hooked the entire time. Good work guys
@@frankcastle1862 thank you, really… it means a lot to us!!! 😆
What a explanation 👏🏼
Best explanation of Lie groups I’ve ever seen
@@benjaminreynolds5733 thanks!!! It means a lot, really 😎
Keep up the good work 👍 you two are nailing it
That was a great explanation, very interesting video. ❤
@@Byron_Vega thank you Byron Vega 😎
awesome video!! loved the pdf too :D
thanks!! Please, let us know what to improve in the pdf and how we can help you to learn math more effectively :)
beautiful lecture.
With luck and more power to you.
hoping for more videos.
Thank you our brother, Thank you our Sister.
Hey everyone, I love the energy and enthusiasm in this video, and I learned a lot from it! However, I found the structure a bit confusing at times. If I were in your shoes, it might come down to not fully identifying the target audience.
In general, I think it would be helpful to start your videos with a brief disclaimer about the concepts you assume the viewer is already familiar with. Also, when using linear algebra to describe transformations, it’s incredibly valuable (and one of the strengths of math channels using MANIM) to establish and visualize the coordinate system before diving into the core idea of the video. While your visualizations were excellent, they were scattered throughout, and by the time you explained the coordinate system in depth, the video was already 60% over. The same goes for group theory concepts-it’s understandable that you don’t want to reintroduce them every time, but maybe creating some quick, reusable animations (like a 'Sailor Moon-style transformation') to briefly remind viewers of these ideas would be a great touch, especially since you'll revisit them often.
Another thing to consider is your pacing. It felt like you were sprinting through the concepts in this video, with the only real pauses happening when the speaker switched between Luca and Sophia. Try slowing down! This will help emphasize the simpler ideas you’re going to build on later. Once those ideas are combined, you can pick up the pace, but slow down again when you approach the core message of the video. You did this a bit after the 6-minute mark, but by that point, my head was already spinning. When you slow down for a key idea, it could even work as a "ready-made" TH-cam Shorts clip.
Your enthusiasm is infectious, and with your use of MANIM to explore complex geometric ideas, I can see you growing alongside the rest of the math TH-cam community. Keep up the great work-looking forward to your next video!
@Tabbywabby777 hi Samuel, thanks for the detailed comment, and all the valuable advice. We will focus on the suggestions you gave us to improve the quality of the videos. Thanks so much, really! 😎
While I learned a lot from this video, I'd also like to add that it might be helpful to "set the stage" in the beginning, giving eg the example in the beginning which you show in the very end.
Also, it might also not be the most interesting for the audience to motivate the video by manifolds and topological groups, if you don't explain them readily after.
Great video, I like to see video on spin group.
@@6ygfddgghhbvdx we will do it!!!
This is easily the best intro to lie group🤯
This was very math heavy... I haven't used matrices in 11 years, so it was hard to follow. But I think I could've used something like this 2 years ago :P
@@Khantia if you check pdf link in the description of this video, and follow along there, I’m pretty everything will be clear 😎 but anyway the video is good overlook of the problem
The graphics shows the object rotating around its center. But (as you state near the end of the video) the rotation R is around the origin. So the graphics doesn't really represent what the formulas say.
BTW, while the new form resolves the "one person teaching the other" problem of your earlier videos, it also removes the dialogue aspect, which I think is unfortunate. Maybe you can find a form that reintroduces the dialogue aspect without reintroducing the one person teaching the other aspect. I think your videos would profit from that.
Do videos on Theta functions
Real analysis video pls!
@@positivenozy6065 we love reading analysis as well!!! We are making one right now about something very interesting in calculus, and at the end we calculate everything but only using analysis. You will like it 😎
wow, thanks!
@jammasound I’m glad you liked it!
@@dibeos j'ai beaucoup apprécié
O, new video)
Thanks!
Woah thanks so much!!! We’re so grateful for your support! Any suggestions regarding the content you’d like to see on the channel?
@@dibeos I would love to see more in number theory, but I am also interested in abstract algebra, p-adic numbers, the Langlands program, elliptic curves, l-functions, topology, etc.
@@kgangadhar5389 we will definitely post more videos about these subjects
So, sin vuejoves cantires de vuena
beautiful lecture.
With luck and more power to you.
hoping for more videos.
Thank you our brother, Thank you our sister.
@@Khashayarissi-ob4yj thank you!!! We are all siblings 😎