Induction with Sigma Notation (3 of 4: Binomial Theorem - completing proof)

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  • Опубліковано 24 гру 2024

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  • @jannealisaacvillamin
    @jannealisaacvillamin 3 роки тому +21

    4:51 BPRP really is a legend

  • @mangal.bajracharya
    @mangal.bajracharya 3 роки тому +5

    I love the way you use multiple colors to write exact things in student’s mind , you nailed it :)

  • @ARKGAMING
    @ARKGAMING 3 роки тому +26

    A black pen red pen reference in a Wootube video! It's like a math version of an Avengers teaser

    • @tadejsivic534
      @tadejsivic534 3 роки тому +3

      Now we just need bprp to reference Eddie and we win

    • @ARKGAMING
      @ARKGAMING 3 роки тому +4

      @@tadejsivic534 I wanna see 3b1b, Michael Penn and more join the crew for the endgame

    • @jesusthroughmary
      @jesusthroughmary 3 роки тому +1

      @@ARKGAMINGJames Grime outta nowhere like "on your left"

    • @SeeTv.
      @SeeTv. 3 роки тому

      In the MegaFavNumbers Project there were many math youtubers teaming up.

  • @jesusthroughmary
    @jesusthroughmary 3 роки тому +17

    BPRP actually did a video where he teaches the technique

  • @VDMac
    @VDMac Рік тому

    Thans for the explanation. I really love the varied colors! May I know what online whiteboard app you're using ?

  • @anupamasingh4335
    @anupamasingh4335 3 роки тому +1

    Please make a video on Godel's Incompleteness Theorem

    • @christianpaul3651
      @christianpaul3651 3 роки тому

      That would be a whole other level of math than what he usually does

    • @anupamasingh4335
      @anupamasingh4335 3 роки тому

      @@christianpaul3651 But I want that level of Math

    • @christianpaul3651
      @christianpaul3651 3 роки тому +1

      There are some videos on YT about it. Most of them just explain the high level idea (which is also quite often misunderstood). If you want to know the details just try to read Gödel's paper. I learnt about it in a discrete mathematics course at university. I don't think it would be too interesting for Eddie Woo's audience to be honest ...

    • @anupamasingh4335
      @anupamasingh4335 3 роки тому

      @@christianpaul3651 I just want to know its proof because it has shaken the Mathematical structure inside me. And I don't want my favourite subject to be "inconsistent".

    • @christianpaul3651
      @christianpaul3651 3 роки тому

      @@anupamasingh4335 What you just wrote already tells me that you most likely misunderstood the statement of the theorem (and probably you don't have the background to truly make sense of it). The theorem essentially just says that whatever consistent set of axioms you define, there are always statements about natural numbers that can not be proven from that set of axioms. It does by no mean say that mathematics is inherently inconsistent or leads to contradictions. It rather says: "however you define things, there will always be true statements that can not be proven"! If you really want to understand the proof read Gödel's paper. It's relatively easy to understand compared to other stuff, but if you don't have already a decent background in discrete mathematics there really is no point in doing so (you will have to work your way up if you really want to know it in that case).

  • @tobiashuseb2337
    @tobiashuseb2337 3 роки тому

    Great video! Good explanation

  • @i.krasnikovas
    @i.krasnikovas 3 роки тому +1

    this is a high school class?

  • @Yes-jh7bx
    @Yes-jh7bx 3 роки тому +5

    Sigma balls lmao

  • @danielamaya5241
    @danielamaya5241 Рік тому

    thanks❤

  • @christianpaul3651
    @christianpaul3651 3 роки тому

    Prove the hockey stick identity

  • @fatimalearns9618
    @fatimalearns9618 3 роки тому

    Thankyou

  • @christianpaul3651
    @christianpaul3651 3 роки тому +1

    Alternative proof if we already know the binomial formula: let a = b = 1 in (a + b)^n

  • @sainthentai7763
    @sainthentai7763 2 роки тому +1

    10:00 error in second series where we maked multiplication on (a). (k 0)x^k * a + (k 1)x^k-1 * a^2 + (k 2)x^k-1 a^3+... (k 2)x^k-1 a^3