This was really well explained. I don't appreciate how these books and professors use such over complicated words and explanations for something that can be this simply broken down and explained like a normal human.
Jesus christ, thank you! I am not sure how people think one can understand a simple concept such as this when they try to explain it with maximum amount of weird characters in their examples! I watched 15 videos and read 20 articles before I watched this to understand it.
If for the second case we choose A_i to be defined by the open interval (-i,i) then what will be the union and intersection over A_i if i=0,1,2,... ? I am wondering this because if we choose to start i at 0, then would (0,0) just be the empty set?
Thank you for your comment! Very careful eye! I cannot hear the video currently, and therefore cannot hear what I am saying, but from memory I believe I intended to do an infinite intersection so the upper bound should have been \infty. However, as you note, it actually does not matter in the sense that if we let n be any integer greater than or equal to 1 (or even infinity) that intersection will still come down to be the smallest nested interval which is [-1,1]! I believe they are eliminating annotations so I will have to research the best way to put in a correction after listening again to the audio. Thank you so much for your comment and careful viewing!
This was really well explained. I don't appreciate how these books and professors use such over complicated words and explanations for something that can be this simply broken down and explained like a normal human.
Kelvin Mac glad it was reasonable! Let me know anything I can do to help!
This is the only video I found that is so well explained. You've helped me a lot, thank you 3000
Jesus christ, thank you! I am not sure how people think one can understand a simple concept such as this when they try to explain it with maximum amount of weird characters in their examples! I watched 15 videos and read 20 articles before I watched this to understand it.
cem sicles I am glad it helped!
Dude.. same here man. This is the only example I’ve watched or read where it finally clicked for me. Thanks a billion
About to take a test and forgot this would be in it, all other videos on RUclips didn't show it like you did so thank you so much!
Thank You for such a simple explanation
love the intro song choice
amazing. tnx alooooooot sir. now ive got clear this
despite the fact that you are recording in the kitchen, it is a great video KEEP UP!!
Ok
If for the second case we choose A_i to be defined by the open interval (-i,i) then what will be the union and intersection over A_i if i=0,1,2,... ? I am wondering this because if we choose to start i at 0, then would (0,0) just be the empty set?
I think the union would be (-∞,∞) and the intersection would be {0}, because 0 would still be included in all of them.
ur the best
Thanks!!!
Thanks man!
KING FRFRFRFR
Should the indexed intersection be infinity or n? Or it doesn't matter: allow n =inf?
Thank you for your comment! Very careful eye!
I cannot hear the video currently, and therefore cannot hear what I am saying, but from memory I believe I intended to do an infinite intersection so the upper bound should have been \infty.
However, as you note, it actually does not matter in the sense that if we let n be any integer greater than or equal to 1 (or even infinity) that intersection will still come down to be the smallest nested interval which is [-1,1]!
I believe they are eliminating annotations so I will have to research the best way to put in a correction after listening again to the audio. Thank you so much for your comment and careful viewing!
♥️♥️♥️❤️❤️❤️❤️