Neighborhood of a Point in Real Analysis | Real Analysis
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- čas přidán 16. 07. 2024
- What is an epsilon neighborhood of a point in real analysis? We introduce the definition of the neighborhood of a point and show how the definition of the limit of a sequence can be rewritten in terms of neighborhoods. The concept of a neighborhood is important, so it's handy to have this convenient language and notation to describe it. We'll also see examples of neighborhoods visually. #realanalysis
Real Analysis playlist: • Real Analysis
Real Analysis exercises: • Real Analysis Exercises
Open Sets: • Intro to Open Sets (wi...
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Wrath of Math is the best neighborhood of all! 😃
Agreed! A cozy neighborhood in the dusty corners of the so called math-tube.
Thank you for your very clear explanation！
Thank you so much love your presentation
You're most welcome!
I like your presentation.❤
Thank you!
May please make video on supremum and infimum
Have you compared this to K-nearest neighbours in classification analysis? Looks like this would be applicable for classifying response (output) variables.
I’ve not, I’m not sure about what you describe, would have to read some papers!
Do you have any videos on accumulation points? (is this the same kind of concept)
czcams.com/video/RmsvftFNMtE/video.html
Will you make the video proving the stolz-cesaro theorem ?
Yes - but I’ve got a long queue, it will be a while!
@@WrathofMath ok thank you. I also have another question will you explain like geometrically what it means like you did witht the other theorems you proved so far like you do some animated stuff
please make lessons on measure theory
I will, but it's going to be a long while - I want to focus on creating full playlists for undergrad topics first. But then I will move onto grad topics as well as continuing to fill out my highschool level playlists.
@@WrathofMath Out of all the people on youtube, i am convinced no other person can make these lessons better than you. I can half and reschedule my learning if it means i get to learn from you, do you think you will be able to pull out some material for measure theory after an year?