I wanna thank you for this extremely helpful video, but I'd rather compliment you. This material is extremely difficult to just understand. To teach it and have thousands of viewers understand shows how intelligent you really are. Good for you dude, I hope I can reach your level one day.
@@andrewlones8251 It takes time/effort to translate from the symbols to a concept, and even more time to translate to plain English. It's not that difficult to comprehend *IFF* the symbol -> concept map is already in place. Your statement is like saying "I can read Cyrillic, and I understood this poem written in Cyrillic that I found online. It's really not that difficult to comprehend." Not everyone can read math symbology fluently.
@@NathanCookCapn Ikr, little assholes lol I'm 25 years old and going in my 4th year of college and just learning this for the first time, and it's complicated lol For me and my classmates lol Idk what books they give these children...lol but they need to give me these books because we have hard ones.
@@kagayakuangel5828 I am also in fourth year of college and understood this concept only after watching this video eventhough I have listened to 3 hrs lecture on this same concept of my Professor before.I bet they are just showing off
I appreciate the explanation! This video gives a great introductory conceptual understanding of Cauchy sequences and is a fantastic spot to start learning!
of all the videos of fancy math teachers using fancy effects, your 360p single cam over paper is consistently the best explained. i went over 5 much higher quality videos of (i would assume) much more experienced teachers before yours, and not a single one of them bothered to show a visual representation of the definition. which you've done not once but in several different examples. good on you man, thanks!
i don't know GOD exists or not but after watching your lectures i can definnately say that GOD exists and you are GOD for me.Your explanation and efforts are speechless.And you are doing it free of cost.
This is a brill explanantion... but then using your numbers as in video; I put in the (1/500) - (1/550) = 1.818E-04, which is still less than 0.001562... I was expecting this to be greater than epsilon ...?? Does this work? I've seen on other pages that it must be N > (2/epsilon)? But following that gives N=1281, and then that didnt work for me either ... am I losing the plot?
im a bit confused, in the defn. we said m and n must be bigger than N and these are reel numbers right? But in the example we take the distance between 0 and 1/N but in that case (for the 0 case) m or n, one of them must infinity since there is no reel number that makes the sequence 1/n 0 right?? can anyone explain? Thanks!!
Pick any number (noted, the greek letter epsilon), the bigger it gets, the smaller it's distance between points is going to be. compare it to the initial point and you would notice exactly what i said earlier.
I wanna thank you for this extremely helpful video, but I'd rather compliment you.
This material is extremely difficult to just understand. To teach it and have thousands of viewers understand shows how intelligent you really are. Good for you dude, I hope I can reach your level one day.
Anthony S I've learned it alone with an introduction to analysis book.
@@steliostoulis1875 you are very smart
@@andrewlones8251 It takes time/effort to translate from the symbols to a concept, and even more time to translate to plain English. It's not that difficult to comprehend *IFF* the symbol -> concept map is already in place. Your statement is like saying "I can read Cyrillic, and I understood this poem written in Cyrillic that I found online. It's really not that difficult to comprehend." Not everyone can read math symbology fluently.
@@NathanCookCapn Ikr, little assholes lol I'm 25 years old and going in my 4th year of college and just learning this for the first time, and it's complicated lol
For me and my classmates lol
Idk what books they give these children...lol but they need to give me these books because we have hard ones.
@@kagayakuangel5828 I am also in fourth year of college and understood this concept only after watching this video eventhough I have listened to 3 hrs lecture on this same concept of my Professor before.I bet they are just showing off
Cheers man. You've made more sense in this video than my professor did in a 3h lecture.
if someone needs 3 hrs to explain a cauchy sequence then they shouldnt be a professor
I know there’s a million comments saying this already, but it really is the best explanation I’ve come across. Thanks for making this
I appreciate the explanation! This video gives a great introductory conceptual understanding of Cauchy sequences and is a fantastic spot to start learning!
U make it so easy...
U are the teacher we always wanted.
May God bless you
I wonder y our so called qualifies lecturers cant explain like this...
of all the videos of fancy math teachers using fancy effects, your 360p single cam over paper is consistently the best explained.
i went over 5 much higher quality videos of (i would assume) much more experienced teachers before yours, and not a single one of them bothered to show a visual representation of the definition.
which you've done not once but in several different examples.
good on you man, thanks!
thank you for existing
Sorry to becoming here so late! Wonderful video, thank you for your contribution to my education.
i don't know GOD exists or not but after watching your lectures i can
definnately say that GOD exists and you are GOD for me.Your explanation
and efforts are speechless.And you are doing it free of cost.
Thank you so much. This is the first video I’m seeing after a lot of search that clearly describes what a sequence really is in the first place.
I've listened to 3 lectures and read/reread my textbook chapter about this. Finally I understand!! THANK YOU!!!!
Y can't everybody explain it like u?
I cannot thank you enough. Preparing myself for a huge exam which is 12CP worth. This helped me A LOT! I really cannot thank you enough!!
You’re literally a god. Feeling lost in class and out of class is such a horrible feeling. This video makes sense
It's my third year n today I got to know what type of sequence is cauchy sequence n this is because of you. Thanks❤️
You're a CZcams Treasure. Thank you man. Truly!
I don't think I have subscribed to any channel faster after first hearing this.
Finallyyyyyyyy I understood this topic. I'm soo appreciate. Thank u soo much for this video. Your explanation is very clear.
bless your heart. i'm having a big brain moment rn
Excellent. :)
@@elliotnicholson5117 this video was uploaded 6y ago. I'm impressed you're still replying!
Good afternoon, I wanna thank you for such an awesome video!!!!
The video was really helpful in understanding this subject! a million thanks!
Best explanation ever. It was far more trivial than I thought it would be
It is a very intuitive concept underneath all the greek.
Thank you very much for the video! Really appreciate it! So much! From the bottom of my heart! Sincerely!
This is brilliant, I was so lost in my class for this entire week due to this Cauchy sequences thing
Beautiful demonstration:) Keep on teaching real analysis!!!!
the best explanation of cauchy sequence ever!! thank you :)
Dude thank you so much, this makes it all so perfectly clear
you are the best i love the way how you explain the idea. you are even better than my professor
Take a Bow son.. What a video. Got it first time round!
Thank you for doing a concrete example. So many videos don't do this!
Thanks man helped me a lot :) You explained it much better than my lecturer.
Very great explanation. very intuitive
Best explanation I have seen🤯
8:33 Jungian moment: "oh thats my shadow" :)
This is a brill explanantion... but then using your numbers as in video; I put in the (1/500) - (1/550) = 1.818E-04, which is still less than 0.001562... I was expecting this to be greater than epsilon ...?? Does this work? I've seen on other pages that it must be N > (2/epsilon)? But following that gives N=1281, and then that didnt work for me either ... am I losing the plot?
You are a....a...a ray of hope
This was immensely helpful. Thank you!!
a great explanation! I like how points were drawn on a plane.
Well done. You have taught me well.
Great discussion, many thanks :)
Thanks a million times...
Wonderfull explenation. Thank you
Waoo sir
God damn, that pen is gorgeous.
Thank you so much , very helpful, God bless you my friend 🙏🏽
So, I can now understand these concepts
wow great experience
keep it up
ur explanations are very clear. thank u !!!!!!
Thank you for the explanation. Well explained.
Great video my friend. Thank you!
Thank you very much it was really helpful
What a spetacular lecture
At least someone explained it well. Thanks a lot!
an absolutely brilliant video, thanks heaps :)
Really very good explanation,thank you sir
Thank you heartfully
G Sridevi You’re welcome.
I love you man! Thank you so much for this great explanation!
Thank you!
im a bit confused, in the defn. we said m and n must be bigger than N and these are reel numbers right? But in the example we take the distance between 0 and 1/N but in that case (for the 0 case) m or n, one of them must infinity since there is no reel number that makes the sequence 1/n 0 right?? can anyone explain? Thanks!!
What does epsilon stand for?
thanks man i've been looking for this explanation only......
Big thanks 👍
THANK YOU VERY MUCH SIR 🙏☺
Nice one sir.
What an absolute legend :D
great job mate
Really helpful. Tomorrow i have to explain this in front of all my classmates ... damm it's a little hard
Thanks for the video very well explained
very nice
love ur explanation
so good
what is the playlist for this video
Brilliant!
great explanation!! thanks
what is epsilon?
Any positive number chosen arbitrarily.
Pick any number (noted, the greek letter epsilon), the bigger it gets, the smaller it's distance between points is going to be. compare it to the initial point and you would notice exactly what i said earlier.
Damn this was well explained
thaaaank you
thank you, helped me a lot
its sso similiar to convergence i don't know the difference
U have saved me
Woah I finally understand this
He sounds like Harry Potter.
Only on camera.
tq bro
Tyvm
Toaster 2000, we met again
Baby thats great i love you
You are god
Hi, marry me please haha 😭😭😭 i loved ur explanation
did he say yes
Keep us updated
what a boss, gimme more daddy
why cant our professors explain it like this? :(
Thank you!