Measure Theory 1 | Sigma Algebras [dark version]

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  • Опубликовано: 10 сен 2024

Комментарии • 33

  • @jms547
    @jms547 Год назад +9

    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!

    • @brightsideofmaths
      @brightsideofmaths  Год назад +2

      Thanks! I knew sometimes this will happen in some videos.

    • @jms547
      @jms547 Год назад

      @@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!)

    • @brightsideofmaths
      @brightsideofmaths  Год назад +1

      @@jms547 Yeah, I am very happy about comments like this. I can put all this information in the description in the end.

  • @JaGWiREE
    @JaGWiREE Год назад +6

    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.

  • @janwyczawski9576
    @janwyczawski9576 Год назад +2

    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.

  • @davidcruz959
    @davidcruz959 Год назад +3

    so much easier on the eyes THANK YOU

  • @cli4068
    @cli4068 Год назад +3

    Awesome content

  • @anangelsdiaries
    @anangelsdiaries 3 месяца назад +1

    The Dark Side of Mathematics

  • @Ganerrr
    @Ganerrr Год назад +5

    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
      @brightsideofmaths  Год назад +2

      Yes, I seriously considered that. But having a new channel from scratch is a lot of work.

    • @Ganerrr
      @Ganerrr Год назад

      @@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

    • @brightsideofmaths
      @brightsideofmaths  Год назад +1

      @@Ganerrr The problem is not automation but RUclips's partner program.

  • @STgauss3268
    @STgauss3268 9 месяцев назад

    Is there any significant difference of illustration between this dark version and the bright version which I have followed before?

    • @brightsideofmaths
      @brightsideofmaths  9 месяцев назад +1

      No, it's just the colours because some people prefer darker colours at night.

  • @_Sam_-zh7sw
    @_Sam_-zh7sw Год назад

    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?

    • @brightsideofmaths
      @brightsideofmaths  Год назад +1

      Yes, it's possible :)

    • @_Sam_-zh7sw
      @_Sam_-zh7sw Год назад +1

      @@brightsideofmaths thanks a lot. I am a business student trying to learn advance mathematics to get quant finace roles

    • @snay6869
      @snay6869 2 месяца назад

      @@brightsideofmaths even I am... lmao it would be insane if you teach these

    • @snay6869
      @snay6869 2 месяца назад

      @@brightsideofmaths I would totally binge watch them with my ipad and apple pencil (I'm learning to be an algorithmic trader)

    • @snay6869
      @snay6869 2 месяца назад

      @@brightsideofmaths I would binge watch them with my ipad and apple pencil lmao, (I'm learning all this math for algorithmic trading)

  • @oldcowbb
    @oldcowbb Год назад

    is there a particular reason closed under uncountable union is not necessary?

    • @brightsideofmaths
      @brightsideofmaths  Год назад

      Yes, because that is not how we measure things. You don't sum up uncountably many parts.

    • @oldcowbb
      @oldcowbb Год назад

      @@brightsideofmaths because of the additive property of measure?

    • @brightsideofmaths
      @brightsideofmaths  Год назад

      @@oldcowbb And what is your uncountable sum in this case?

    • @oldcowbb
      @oldcowbb Год назад

      @@brightsideofmaths like an integral? the sum would be infinity unless all the elements have zero measure, then it will be finite?

  • @Roman_CK
    @Roman_CK 7 месяцев назад

    Too Dark 4 Me

  • @lordstevenson9619
    @lordstevenson9619 Год назад +1

    Black background is much better than the dark blue imo