@@brightsideofmaths Yes, I know you sometimes refer to colours. Would you like your viewers to leave comments like this on other videos, so that other future learners don't get confused? (This may lead to patchy coverage so it might not actually be that useful!)
Definitely one of my favourite series on this channel. It is insane how well you explain these concepts. I feel like most math channels on youtube either strive for maximum simplicity, which makes the videos very easy to understand but also pretty shallow, or they keep them in a format of a lecture which often goes very in-depth but doesn't feel much more accessible than a book or lecture notes. You however, especially in this series, manage to do both - keep the videos captivating and easy to understand while still conveying all the important ideas, enough to get a good understanding of like 80% of the core concepts and then be able to easily go through any book on the topic to fill in the details.
Thanks so much. I have a rare disease called corneal neuralgia which involves photophobia, so this dark version aids me a lot and helps relieve a lot of tension that distracts my focus.
I knew equation wise what the sigma algebra and the conditions meant but visualizing it with Venn diagrams really helped understand the matter. thanks a lot. sigma algebra feels real now just like numbers on the number line. earlier it made no sense, just existed because some dude said so.
i know its wrong to be so demanding and i really apologize for it. But is it possible for you to make two playlists which include relavant maths videos for financial engineering and machine learning?
instead of re-uploading all your videos in dark mode u can just make a channel called "the dark side of mathematics" lol (but seriously dark mode makes videos 100x better on my eyes)
@@brightsideofmaths you could def automate most of it, thumbnail templates are easy to script as well as simple video effects like inverting colors. Plus it wouldn't blow up subscription feeds of people subbed to the main channel
![Measure Theory 2 | Borel Sigma Algebras [dark version]](http://i.ytimg.com/vi/JWtzasf_Uy4/mqdefault.jpg)
![Measure Theory 2 | Borel Sigma Algebras [dark version]](/img/tr.png)
Note to future viewers: at 9:58 when he says blue sets he actually means the yellow rectangular sets A_i, because the colours have been inverted!
Thanks! I knew sometimes this will happen in some videos.
@@brightsideofmaths Yes, I know you sometimes refer to colours. Would you like your viewers to leave comments like this on other videos, so that other future learners don't get confused? (This may lead to patchy coverage so it might not actually be that useful!)
@@jms547 Yeah, I am very happy about comments like this. I can put all this information in the description in the end.
Definitely one of my favourite series on this channel. It is insane how well you explain these concepts. I feel like most math channels on youtube either strive for maximum simplicity, which makes the videos very easy to understand but also pretty shallow, or they keep them in a format of a lecture which often goes very in-depth but doesn't feel much more accessible than a book or lecture notes. You however, especially in this series, manage to do both - keep the videos captivating and easy to understand while still conveying all the important ideas, enough to get a good understanding of like 80% of the core concepts and then be able to easily go through any book on the topic to fill in the details.
Thank you very much :)
Thanks so much. I have a rare disease called corneal neuralgia which involves photophobia, so this dark version aids me a lot and helps relieve a lot of tension that distracts my focus.
I am glad that I can help you with the dark versions!
I knew equation wise what the sigma algebra and the conditions meant but visualizing it with Venn diagrams really helped understand the matter. thanks a lot. sigma algebra feels real now just like numbers on the number line. earlier it made no sense, just existed because some dude said so.
The Dark Side of Mathematics
Exactly :)
so much easier on the eyes THANK YOU
You are welcome!
Awesome content
Is there any significant difference of illustration between this dark version and the bright version which I have followed before?
No, it's just the colours because some people prefer darker colours at night.
i know its wrong to be so demanding and i really apologize for it. But is it possible for you to make two playlists which include relavant maths videos for financial engineering and machine learning?
Yes, it's possible :)
@@brightsideofmaths thanks a lot. I am a business student trying to learn advance mathematics to get quant finace roles
@@brightsideofmaths even I am... lmao it would be insane if you teach these
@@brightsideofmaths I would totally binge watch them with my ipad and apple pencil (I'm learning to be an algorithmic trader)
@@brightsideofmaths I would binge watch them with my ipad and apple pencil lmao, (I'm learning all this math for algorithmic trading)
instead of re-uploading all your videos in dark mode u can just make a channel called "the dark side of mathematics" lol
(but seriously dark mode makes videos 100x better on my eyes)
Yes, I seriously considered that. But having a new channel from scratch is a lot of work.
@@brightsideofmaths you could def automate most of it, thumbnail templates are easy to script as well as simple video effects like inverting colors. Plus it wouldn't blow up subscription feeds of people subbed to the main channel
@@Ganerrr The problem is not automation but TH-cam's partner program.
is there a particular reason closed under uncountable union is not necessary?
Yes, because that is not how we measure things. You don't sum up uncountably many parts.
@@brightsideofmaths because of the additive property of measure?
@@oldcowbb And what is your uncountable sum in this case?
@@brightsideofmaths like an integral? the sum would be infinity unless all the elements have zero measure, then it will be finite?
Too Dark 4 Me
Black background is much better than the dark blue imo
Thanks! Good that I changed that.