Pointwise and Uniform Convergence Visualized
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- čas přidán 12. 09. 2024
- made with manim Community
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Custom Intro music by Saint Jean, check him out!
Saint Jean - / @saintjean6010
Main music by Yami Tarek, check him out too!
Yami Tarek - open.spotify.c...
-- track starting at 0:13 - perlmutt
-- track starting at 2:31 - orange
-- track starting at 4:52 - koralle
visualizing math feels like eating a delicious cake
THE best video on pointwise and uniform convergence!!
just changed the trajectory of my life - a math major with two midterms tomorrow morning
Wow! this was incredibly well animated and presented! Thankyou so much for making this video. I really hope you continue making videos like these and that your channel gets the recognition it deserves 😁
I think these videos are a great tool for people who struggle to understand the differences between the definitions of pointwise and uniform convergence. I had to make my own little drawings to help me understand what it meant, and that's really what helped differentiate them for me.
Pleasing visuals and straight to the point explanation!
I really enjoyed composing the Intro.
Phenomenal video. The visual "contrapositive proof" at the end really drives the point home.
Eureka !
Have never seen an epsilon area neither better visualized nor better explained.
Crisp animations.
these are some stunning visualizations. made very well and explained very well, , thank you for that
It's fascinating being intuitive and mathematically rigorous in same video! Very well explained.
The production value is simply amazing!
Really amazing ! Please dont stop this channel have great potential
looks like he stopped
THANK YOU VERY MUCH!! I'm now studying uniform convergence in calc 3 and the formal definition is quite a mouthful (especially that uniform convergence is established when somehow the choice of big N only depends on ε and not on x), but I tried picturing the entire thing and had a sense that uniform convergence meant the ability to bound the entire function within the ε-neighborhood of f_n (so to speak) for n ≥ N, so that it is not specifically pointwise and therefore no longer depends on x, I knew it would be nice to visualize, and voilà, I found your video which explains it nicer than I thought possible! Again thank you very much for this video!! Why does it only have 35 likes and 7 comments?? I'm sharing this to my friends, it's too good! :D very much underrated!
EDIT:
Forgot to say, about timestamp 5:46, I think "uniform" here is supposed to be a synonym for "simultaneous" after all (we have points uniformly converging together), so yeah ;)
Hey man I'm very glad I could help you :) Thanks alot for the comment!
you really shouldn't worry about these formal definitions in calc 3, 2, or 1 (although epsilon arguments can be intuitive). They are defined this way for advanced mathematics in which they utilize the formal definitions to prove other theorems.
@@simonribas4625 Understandable. It just so happens that I took Real Analysis 1* alongside Calculus 3 (as my faculty recommends), so there was some temptation to view it rigorously.
*Here, the teaching of introductory real analysis (using Bartle's textbook) is split into two consecutive classes. I have passed Calc 3 and I am now taking Real Analysis 2, discussing continuity, derivatives, integrals, and eventually uniform convergence. Can't wait!
Wow. I was struggling to understand the intuition between pointwise and uniform convergence but now it all makes sense. thank you so much!
Your explanation is way better than other.
You deserves more subscribers
Thanks mate, it really helped me out a lot! Nice music, you got the ID?
:'D IDs in the description mois
Wow, please the world needs more videos like this! How is it the only video on this channel?
Very neat and intuitive! I wish you'd post more videos.
Firstly i thought that your channel has 278 000 subs but now im shocked that it has only 278( So helpfully video
Great video!
this is probably the best visualisation I have ever seen before.
I never comment on videos, but this was amazing!!! Really beautifull
This visualisations help a lot to understand these different concepts of convergence .
Wow🤯... that was just SOOOO WELL-EXPLAINEDDDD. Thank uuuu!
Great video bro :) and by the way may I ask if your German ;)
Thanks, you are very right. :)
Congratulations broo
Thanks 👍
From #INDIA 🇮🇳🇮🇳🇮🇳
you gained a subscriber for life. keep posting more
What an amazing and easy to understand video!
Absolutely brilliant demonstration and explanation. Thank you!
Finally, a god-damn easy to understand video
What a amazing way of making content
Great. Please continue uploading.
Good job! You helped me a lot to understand calculus, you should continue presenting these types of concepts!
U deserve an Oscan man. Don't stop, please make more videos like this 😃
This was amazing honestly. I finally understand the uniform convergence part . Thankss !!
Amazing! Thanks. Keep going
Thank you for tthis video. I wish you would make more videos!
WOW! You're video helped me finally understand the different types of convergence for sequences of functions! Really great video, thanks!
i very much enjoyed this video
WOW!! Thank you so much!!
Whaaaaaaaaat this is amazing!!!!!!!!!!
Wow great video. It helped me out so much. The visualisation is exactly what I needed to grasp this concept. Thank you and keep up the amazing work!
Amazing video keep it up
Now that is a great video on pointwise and uniform convergence
Great Video! Keep up the good work
This is an excelent video. Great voice and a very intuitive mix of defiiniton and visuals.
Beautiful 😌
Your are very good at understanding the concepts of mathematics please make more videos
visual explanation makes the concepts clear. thanks you
Thank you so much! These videos are super useful to digest the material :D
Clear explanation thanks lot
insane, good job!
Thank you for this video!
Really great explanation!
The music is lit!!!
thank you very much, this was very helpful
gracias amigoooo sos gigante saludos desde la argentina, FAMAF.
Beautiful presentation, thank you!
great explanation !
i finally get this now , OMG thanks you so much for the explaination
thank you so much
great video man,thanks
This video is absolutely amazing! Thank you!
Thank You
amazing video
Thank you!
Great video
Thanks man!
It's Just.... excellent ✨❤️
Bro has one video and it's perfect.
Thanks a lot
amazing! beautiful explanation and visuals
Outstanding animation. Thank you sir
Thank you this really helped.
Small feedback: the background music was sometimes making it harder to concentrate.
Nevertheless, awesome video.
Thank you so much, outstanding work!!
great video
thanks a lot.....
Amazing video, thank you so much!
Great video man! Learned a lot from this😊
Nice, bro.
Thanks for the video.
Great visual explanation.
great!
Beautiful explanation, thank you🙂🙂🙂
bro, you are awesome!!!!!!!! please continue to do what you do, its amazing. if you could also make a visualize video for uniform convergence using supremum theorem. Also in the future it would be pretty good to explain the series convergense and weierstrass M-test. good luck for you!!
Hey, thanks for your feedback and your suggestions. I'm currently making a video on total differentiability/Jacobian matrix :)
Nice explanation🙏🙏🙏🙏🙏🙏 sir
Excellent work!
I enjoyed the cocompact group from your username
So helpful!
Great video Man highly appreciated।
What!? One video for only one lesson, which I looking for ❤?
Excellent explanation!
god
bro dropped a banger than just quit 😭
Please continue the concept of maths through visualisation
That was very good. Why not make another one. :)
Wonderful explanation!😁
Thank you, this helped a lot.
U are amazing 😍