Distributions 7 | Distributions Form a Vector Space

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  • เผยแพร่เมื่อ 1 ธ.ค. 2024

ความคิดเห็น • 16

  • @LopserGaming
    @LopserGaming 2 ปีที่แล้ว +3

    Amazing channel! I’m a graduate engineer and I feel that so many fundamental topics in mathematics have been skipped and this channel is helping fill in the gaps for the basics for many applications!

  • @Hold_it
    @Hold_it 2 ปีที่แล้ว +2

    Thank you for continuing this series :)

  • @Duskull666
    @Duskull666 2 ปีที่แล้ว +3

    Yes! Thank you for continuing this series! It has been very helpful in understanding my signal processing course, where they just dump on you alot of stuff from distribution theory (without explaing how they work or where they come from of course).

  • @mathjitsuteacher
    @mathjitsuteacher 2 ปีที่แล้ว +1

    Another great video!!! Thanks for continuing this series, it is hard to find good videos about this topic.

  • @LeaoDN
    @LeaoDN 2 ปีที่แล้ว +2

    Wow, distribution theory is back and strong! Thanks for putting this together.

  • @zoedesvl4131
    @zoedesvl4131 2 ปีที่แล้ว +3

    My way of understanding distribution is basically as follows: if we "pretend" that integration by parts is OK, then it is OK.

  • @Tsusjgsgsks
    @Tsusjgsgsks 2 ปีที่แล้ว +1

    thanks

  • @coulsonyu7658
    @coulsonyu7658 ปีที่แล้ว

    the compatibility of two scalar multiplication and two addition is also can be called the preserving of algebric structure. Here we can view distribution spaces as an extension space of locally Lebesgue integrable function space which preserving of algebric structure. is it right? Thanks for your wonderful videos

    • @brightsideofmaths
      @brightsideofmaths  ปีที่แล้ว +1

      Yes, the algebraic structure is important but we have way more as well.
      Thanks for your support :)

  • @mastershooter64
    @mastershooter64 2 ปีที่แล้ว +3

    woah nice, can they be infinite dimensional vector spaces? and can you apply all the functional analysis stuff on them?

  • @soumyadas9896
    @soumyadas9896 2 หลายเดือนก่อน

    sir can u tell me if the collection of singular distribution forms a vector space . if yes than how?

    • @brightsideofmaths
      @brightsideofmaths  2 หลายเดือนก่อน +2

      This cannot be true because 0 is a regular distribution :)

    • @soumyadas9896
      @soumyadas9896 2 หลายเดือนก่อน

      @@brightsideofmaths thanks.