Prove Arzelà–Ascoli theorem step by step
Prove Arzelà–Ascoli theorem step by step
Please subscribe to my channel
Donate to Channel(斗內一下): https://paypal.me/kuoenjui
Facebook: https://www.facebook.com/mathenjui
Instagram: https://www.instagram.com/mathphyen/
0:00 start
5:00 uniformly bounded and continuous need not have converge subsequence
8:00 lemma1, there exist converged subsequence on countable set E
15:00 lemma3, compact metric space has countable dense subset E
19:00 prove interval version of Arzelà–Ascoli theorem
29:00 prove general Arzelà–Ascoli theorem
Please subscribe to my channel
We proved that under uniform convergence, one can prove that the limit and the differential can be exchanged.
Subscribe to my channel
Advanced mathematics list:
Group representation for finite group
https://www.youtube.com/playlist?list=PLg9w7tItBlZvxk4eus_gi2Wp3yYAEXF9-
exact sequences
https://www.youtube.com/playlist?list=PLg9w7tItBlZuI7n7notRRA2jol69e9mc9
Ring theory lecture
https://www.youtube.com/playlist?list=PLg9w7tItBlZtfPKHWGlU55kqafEgUu45u
group theory lecture
https://www.youtube.com/playlist?list=PLg9w7tItBlZtSHrTTVjEzAsUcO69YXY7v
Category theory
https://www.youtube.com/playlist?app=desktop&list=PLg9w7tItBlZtI1njDjtXt_0Hkqbn9RVvi
Field theory in abstract algebra
https://www.youtube.com/playlist?list=PLg9w7tItBlZtA6XhMIgIPkgj_SDKChbN-
Mathematical analysis
https://www.youtube.com/playlist?list=PLg9w7tItBlZu-yFYxQrWrFKcdOHRz2Fkh
Please subscribe to my channel if you like it
-
5:18:20
Donald Trump Jr.
8 hours agoTrump Rally Live From MSG
271K533 -
2:00:28
Nerdrotic
4 hours ago $16.32 earnedAncient Apocalypse: The Americas REVIEW Part 2 | Forbidden Frontier #079
20.7K3 -
41:30
Stephen Gardner
2 hours ago🔴Kamala Harris JUST did the STUPIDEST THING! Trump's new Promises are INCREDIBLE!!
15.1K48 -
LIVE
Right Side Broadcasting Network
2 days agoLIVE REPLAY: Trump Holds a Rally at the Iconic Madison Square Garden in New York - 10/27/24
23,702 watching -
2:23:51
vivafrei
11 hours agoEp. 234: Jack Smith's UNLAWFUL Appropriations! Joe Rogan & Trump! Kamala Scandal & MORE!
89.1K116 -
LIVE
Vigilant News Network
6 hours agoElon Musk Drops IRS Bombshell - Media Blackout
2,411 watching -
1:21:49
Tate Speech by Andrew Tate
7 hours agoEMERGENCY MEETING EPISODE 84 - I'M HERE
173K269 -
4:32:45
Professor Nez
8 hours ago🚨HISTORIC EVENT! Donald Trump Holds EPIC Rally at NYC's Madison Square Garden – LIVE NOW!
56.4K26 -
6:14:00
Benny Johnson
8 hours ago🚨LIVE NOW: Triumphant Trump's HISTORIC NYC Hero's Welcome at PACKED Madison Square Garden Rally
163K399 -
1:19:45
Josh Pate's College Football Show
5 hours ago $4.52 earnedWeek 9 Reaction Show: Texas A&M Beats LSU | OSU & Texas Survive | Bama Flexes | JP Poll vs AP Poll
25.3K6