Pointwise and Uniform Convergence Visualized
Вставка
- Опубліковано 7 лют 2022
- made with manim Community
visit the homepage at www.manim.community/
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.com/artist/01RCU...
-- 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!!
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 😁
just changed the trajectory of my life - a math major with two midterms tomorrow morning
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.
Phenomenal video. The visual "contrapositive proof" at the end really drives the point home.
Pleasing visuals and straight to the point explanation!
I really enjoyed composing the Intro.
It's fascinating being intuitive and mathematically rigorous in same video! Very well explained.
This was amazing honestly. I finally understand the uniform convergence part . Thankss !!
Eureka !
Have never seen an epsilon area neither better visualized nor better explained.
Wow. I was struggling to understand the intuition between pointwise and uniform convergence but now it all makes sense. thank you so much!
Good job! You helped me a lot to understand calculus, you should continue presenting these types of concepts!
Absolutely brilliant demonstration and explanation. Thank you!
Crisp animations.
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!
This video is absolutely amazing! Thank you!
WOW! You're video helped me finally understand the different types of convergence for sequences of functions! Really great video, thanks!
Really amazing ! Please dont stop this channel have great potential
looks like he stopped
this is probably the best visualisation I have ever seen before.
Thank you so much! These videos are super useful to digest the material :D
Wow🤯... that was just SOOOO WELL-EXPLAINEDDDD. Thank uuuu!
Beautiful presentation, thank you!
Thank you for this video!
Thank you so much, outstanding work!!
Very neat and intuitive! I wish you'd post more videos.
visual explanation makes the concepts clear. thanks you
WOW!! Thank you so much!!
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!
This is an excelent video. Great voice and a very intuitive mix of defiiniton and visuals.
I never comment on videos, but this was amazing!!! Really beautifull
Wow, please the world needs more videos like this! How is it the only video on this channel?
amazing! beautiful explanation and visuals
Amazing video, thank you so much!
Outstanding animation. Thank you sir
i finally get this now , OMG thanks you so much for the explaination
Firstly i thought that your channel has 278 000 subs but now im shocked that it has only 278( So helpfully video
Great. Please continue uploading.
What an amazing and easy to understand video!
Now that is a great video on pointwise and uniform convergence
Amazing! Thanks. Keep going
This visualisations help a lot to understand these different concepts of convergence .
Beautiful 😌
What a amazing way of making content
i very much enjoyed this video
great video man,thanks
this is very very beautiful thank u :)))))
Great video!
thank you very much, this was very helpful
Beautiful explanation, thank you🙂🙂🙂
Really great explanation!
Great video man! Learned a lot from this😊
Great video bro :) and by the way may I ask if your German ;)
Thanks, you are very right. :)
thank you so much
Thanks man!
Great Video! Keep up the good work
Clear explanation thanks lot
Thank You
Whaaaaaaaaat this is amazing!!!!!!!!!!
Thank you, this helped a lot.
Nice, bro.
Thanks for the video.
Congratulations broo
Thanks mate, it really helped me out a lot! Nice music, you got the ID?
:'D IDs in the description mois
Excellent work!
Thanks a lot
Thank you!
Thank you for tthis video. I wish you would make more videos!
Thank you very much!
It's Just.... excellent ✨❤️
great explanation !
Finally, a god-damn easy to understand video
thanks a lot.....
Amazing video keep it up
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 :)
gracias amigoooo sos gigante saludos desde la argentina, FAMAF.
Excellent explanation!
Great video Man highly appreciated।
Great visual explanation.
amazing video
U deserve an Oscan man. Don't stop, please make more videos like this 😃
great!
Super Video und Animation!
Thanks 👍
From #INDIA 🇮🇳🇮🇳🇮🇳
The music is lit!!!
So helpful!
Great video
Wonderful explanation!😁
great video
Great content. ❤️
Bro has one video and it's perfect.
Keep up the work bro
Your are very good at understanding the concepts of mathematics please make more videos
U are amazing 😍
Nice explanation🙏🙏🙏🙏🙏🙏 sir
Please continue the concept of maths through visualisation
god
Please do more videos 🙏
That was very good. Why not make another one. :)
I enjoyed the cocompact group from your username
Thank you this really helped.
Small feedback: the background music was sometimes making it harder to concentrate.
Nevertheless, awesome video.
What!? One video for only one lesson, which I looking for ❤?