"Any fool can make something complicated. It takes a genius to make it simple." seems rather apt for you my friend. I have spent a great length of time to grasp the ideas that you go through in your videos, and having watched your videos I am wishing you had uploaded videos before that hard graft of mine ha..keep up the good work for other students.
@ulisesriver4656
3 жыл бұрын
i dont mean to be offtopic but does anyone know a tool to get back into an Instagram account?? I somehow forgot my login password. I would appreciate any help you can offer me
@aidencristiano3874
3 жыл бұрын
@Ulises River instablaster ;)
@ulisesriver4656
3 жыл бұрын
@Aiden Cristiano thanks for your reply. I got to the site on google and Im in the hacking process atm. Seems to take a while so I will reply here later when my account password hopefully is recovered.
@ulisesriver4656
3 жыл бұрын
@Aiden Cristiano It worked and I actually got access to my account again. Im so happy:D Thanks so much you saved my account !
@aidencristiano3874
3 жыл бұрын
@Ulises River No problem xD
@MathMatt17
9 жыл бұрын
Great video, man! I'm reading Rudin's "Real and Complex Analysis" to introduce myself to measure theory, and your video is awesome for reviewing sigma-algebras that I learned in the book.
@skarimhaddad
9 жыл бұрын
You made the first 2 weeks of my graduate Metrics class a lot easier to understand. Thanks!
@carlostarelo4195
6 жыл бұрын
Best video I've seen on this so far.
@pranad123
12 жыл бұрын
Just started watching. Thank you for posting them!
@davidwright8432
6 жыл бұрын
Question: At 9:31, in the last line, I get the first equality. But surely when you take the complement of the intersection, you get the union of the complements - here (complements of (complements of the Ei)); so union of the Ei?
@coles3064
5 жыл бұрын
He's not taking the complement of the intersection, he's taking the intersection of each element's complement. The parentheses and order of operations matter. The second part of the equality is just the standard application of DeMorgan's law.
@manishjawa
7 жыл бұрын
Awesome stuff. Very good explanation. One remark though, if you could give a background on why we need the concept of measure , and how that leads to sigma algebra , as explained in wikipedia article on sigma alegbra, it would be even awesome !!
@SuperReddevil23
3 жыл бұрын
You could have written all of the latter remarks under the properties, since they are essential conditions for the establishment of sigma algebra
@mariospktpkt2141
11 жыл бұрын
Yes, it is correct. Take as an example E1, E2 only and do what he did.
@mengli979
7 жыл бұрын
Let really want to share this videos to my under-graduate probability course teacher, she didn't tell us this.
@dw5chaosfan
6 жыл бұрын
Meng Li this is on the graduate level, undergraduate probability is not meant to cover measure theory because the prereq for this is real analysis
@Alienman1212
6 жыл бұрын
think it depends on where u r in the world, where i study this is an undergraduate topic
@duckymomo7935
5 жыл бұрын
Alienman1212 Well you can do it in undergrad but you need to be able to handle proofs, real numbers, measure theory and elementary probability.
@Bibi_Mbaape
4 жыл бұрын
Why cant my university math professor describe it as simple as you did? Thank you so much!
@sunsande
12 жыл бұрын
In many books they require Omega to be non-empty set. It is of course not usefull but pure formally I can not find any contradiction to build a sigma-algebra on an empty set. In this case A={emptyset} (the set containing only the empty set). The complement in this case is the same set - the empty set. Can you please comment on this - can Omega be the empty set? Do we in this way getting formally correct algebra (even though not an "usefull" one? Many thanks in advance!
@prakashchandradosi6115
9 жыл бұрын
Is probabilty theory is applicable to infinite sets also or only to finite sets ?
@davidwright8432
6 жыл бұрын
Both. In the infinite case, finite sums are replaced by their corresponding integrals.
@JonnyD000
4 жыл бұрын
What level of math maturity is needed to watch your videos? Could someone with non-proof based calculus and linear algebra watch your videos and get it?
@alanzhu7053
6 жыл бұрын
The intersection of all elements in A is empty set. This because both E and Ec is in A. The intersection of E and Ec is empty.
@Boneamps
11 жыл бұрын
Heey Awesome Videos Man!! I didn´t know you had some of Measure Theory. I Watched all of your videos about Information Theory and Coding Theory and they were great! I would love to put up some videos like this, but the fancy technology of the screen with colors is out of my reach XD
@ruanvermeulen7594
9 жыл бұрын
Thank you so much! Making things simple that usually seem so complicated!
@abhinandan008
9 жыл бұрын
great video..you made my quantum mechanics class easier..
@ElemenT00715
9 жыл бұрын
I can't thank you enough! This is really really useful!!!
@sugiantolauw4181
8 жыл бұрын
I am new to this and not from math background at all, and I couldnt understand from the remarks onward. Any simpler explanation?
@xXxBladeStormxXx
8 жыл бұрын
Why are you studying measure theory then? Perhaps study something simpler first?
@Justin-ph6rx
6 жыл бұрын
This is as simple as it gets..
@matinhewing1
4 жыл бұрын
Thank-you so much for explaining this!
@doaaserageldin4500
9 жыл бұрын
neat proofing technique..good work
@marcmtlca
12 жыл бұрын
I think the fact that the complement of omega is the empty set should not be obvious to even the learned listener.
@jinsvargheese5395
6 жыл бұрын
Great explanation... Thank you sir....
@aldito1ify
9 жыл бұрын
you are amazing bro!.... thank you for sharing all this
@MrImpliedvol
12 жыл бұрын
awesome video. please make more
@VaDiM1B
12 жыл бұрын
Thank you. Great explanation!
@skulleeman
13 жыл бұрын
this is really great, thank you
@joefagan9335
4 жыл бұрын
Superb 👏👏👏
@groovysteroids7184
9 жыл бұрын
Thank you good sir
@Qornv
3 жыл бұрын
All over the place, ground it with examples and then move up.
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