The real analysis playlist has a long ways to go, but I'm working on it! kzbin.info/aero/PLztBpqftvzxWo4HxUYV58ENhxHV32Wxli
@Joshs87079 ай бұрын
bro deserves much much more views, pls keep making more videos on analysis, love from Colorado❤
@thunayyanhussam7132 жыл бұрын
I never get disappointed watching your videos! Always very informative and well delivered. Please keep on you are the best math tutor on YT!
@suhanisoni735 Жыл бұрын
Very very informative video, literally saved my life. Thank you so much
@WrathofMath Жыл бұрын
Glad to hear it, thanks for watching!
@jscotch28793 ай бұрын
Still helping people even now! Thanks so much it was sooo much easier to understand!
@mfonpeter1245 ай бұрын
I love the way you explained the concept, making use of genius and simple examples. Keep up the good work 👍.
@WrathofMath5 ай бұрын
Thanks so much!
@punditgi2 жыл бұрын
A very important and informative video!
@WrathofMath2 жыл бұрын
Absolutely! I pretty much skipped over a typical first chapter in analysis in my playlist, but I'll come back to it eventually to really set the stage for all the material. And NIP is a cool part of that!
@MathPhysicsEngineering Жыл бұрын
I think you may also like the Calculus playlist on my channel, specifically, I would recommend that you check the video from my channel called: "Visual Proof of The Heine-Borel Theorem and Compactness of [a,b]" I make very rigorous visual proof from calculus in this playlist. I also made a video about this theorem called : Cantor's Lemma Proof and Visualization
@chelekakaumba1262 Жыл бұрын
My exam is one week away, I find your videos very helpful. ♥️
@WrathofMath Жыл бұрын
Glad to hear it, good luck on the test!
@apratick Жыл бұрын
You are a legend. Wish you all the success in life. Will definitely support you after I start earning.
@WrathofMath Жыл бұрын
Thanks so much - let me know if you ever have any questions!
@divyamverma26065 ай бұрын
Thanks! Explained with great clarity
@WrathofMath5 ай бұрын
Glad it was helpful!
@APh_2 жыл бұрын
Great video as always ☺️
@WrathofMath2 жыл бұрын
Thank you!
@himsuexplains2 жыл бұрын
Your videos are coolest , Helped me in exams
@WrathofMath2 жыл бұрын
Thank you, glad to help!
@TranquilSeaOfMath4 ай бұрын
Good illustration of the theorem.
@WrathofMath4 ай бұрын
Thank you!
@user-pd6vy7my2f5 ай бұрын
Thank you❤
@adityasethy Жыл бұрын
Most lucid explanation of the Nested Interval Theorem
@wtt274 Жыл бұрын
Thank you sir for this great video !
@vinwithaw5 ай бұрын
Question, how does this prove that the real no. Line has no holes? If x belongs to the closed interval [a_n,b_n], then that could imply that x CAN be equal to a_n or b_n, thereby producing a hole between a_n and b_n?
@brendanmccann56959 ай бұрын
I like it. Clear!
@Mathematics-with-MohsinRaja11 ай бұрын
Really explained nicely....❤ ❤
@WrathofMath11 ай бұрын
Thank you!
@gonzajuarez491810 ай бұрын
Hey. Thanks for the video. I've been stuck at this for a couple of hours. One question though. Why doesn't this proof consider the case where one of the nested intervals is the empty set. My best guess is that this has to do with it being about an *infinite* sequence of closed nested sets. But again, the empty set is included in itself so it could go on and on and on and... on. If the empty set is considered in the sequence, then such x wouldn't exist. As per my understanding.
@Nikkikkikkiz8 ай бұрын
a_n\leq x\leq b_n means that it has to be at least the single point x
@gonzajuarez49188 ай бұрын
@@Nikkikkikkiz how can I prove that implication?
@tommasoc.22074 ай бұрын
did you solve this? I was asking myself the same thing
@siriuss_3 ай бұрын
We are dealing with real numbera here, consider a set [-1,1], then it contains [-1/2,1/2] and so on. Whats up with the empty one? here subsets of Reals are infinite, if it gets finite you get that that finite as your answer. Say, if empty set is contained here, the answer is empty, but it should be NESTED
@kirtiyadav9672 жыл бұрын
Thank you so much 😊😊
@ericoduroboateng52696 ай бұрын
please, it is always given in a closed interval?
@siriuss_3 ай бұрын
Hey WoM,any case where that x can be a set (finite), I cant find such Example and my stupid brain is getting more inclined towards a singleton set
@mathmaniaa6497 Жыл бұрын
nice video, thx for upload this... may I ask...how to create the nested set so the intersection is (-2,1]
@okikiolaotitoloju2208 Жыл бұрын
Could we have used an infimum instead of a supremum for x?
@mark-hs4bo Жыл бұрын
Thanks m8
@WrathofMath Жыл бұрын
Glad to help!
@realperson334110 ай бұрын
I love you
@WrathofMath9 ай бұрын
love you too
@naidely4768 Жыл бұрын
i love you
@arthurlbn Жыл бұрын
(an , bn) nested has common element?
@siriuss_3 ай бұрын
uh, thats my question too, and if that element is singleton only
@Lakkshay2 жыл бұрын
I am block head
@WrathofMath2 жыл бұрын
How'd you get a block for a head?
@Lakkshay2 жыл бұрын
@@WrathofMath i am stupid for this proof not understand 😑 but thanks for video