Function Proof via Diagram Chasing (g composed f injective and f surjective implies g injective).

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  • เผยแพร่เมื่อ 2 พ.ย. 2024

ความคิดเห็น • 16

  • @Ninja20704
    @Ninja20704 ปีที่แล้ว +6

    Very good visualisation. My classes always try to explain function properties using the diagram chasing, as well as stuff like the conditions for an inverse and composition to exist.

    • @MathVisualProofs
      @MathVisualProofs  ปีที่แล้ว +1

      That’s good! It’s really the best way to make sense of those types of proofs.

  • @LittlePaimon
    @LittlePaimon ปีที่แล้ว +6

    The video presentation is very intuitive, and it seems the order of differentiation for composite functions follows a similar pattern.

  • @tcaDNAp
    @tcaDNAp ปีที่แล้ว +1

    Did you hear about the mathematician that couldn't prove f was surjective? **Epic** fail...
    Thanks for helping me understand a little more about diagram chasing than jokes from category theory!

  • @Bedoroski
    @Bedoroski 11 หลายเดือนก่อน +1

    Great visualization.
    Btw do you intend to make visual understanding of some theorems in Real Analysis? As an undergraduate that lacks proof background this class hurts me

    • @MathVisualProofs
      @MathVisualProofs  11 หลายเดือนก่อน

      Haven’t thought of doing them yet. I did use the software to show certain concepts in real analysis a few years ago but I was brand new to the software so I wasn’t doing things quite right.

  • @alexandrashvydun8726
    @alexandrashvydun8726 6 หลายเดือนก่อน +1

    appreciate the animation!

  • @ileoliang
    @ileoliang 11 หลายเดือนก่อน +1

    very nice

  • @hashimabbas3977
    @hashimabbas3977 ปีที่แล้ว +1

    Why dont you make videos of all the theorem.
    It will help us to understand maths very effectively, including the 2nd one in the video.

    • @MathVisualProofs
      @MathVisualProofs  ปีที่แล้ว

      I'll see if I can do a follow up, but I bet you can do it on your own! Also, this video doesn't seem to be as interesting to people as others by clickthrough rate.

  • @bluepavilion82
    @bluepavilion82 7 หลายเดือนก่อน

    do you have proof solution for the theorem at the end of the video?

    • @MathVisualProofs
      @MathVisualProofs  7 หลายเดือนก่อน

      I don’t. I bet you can work it out using this as a model though …

  • @DidarOrazaly
    @DidarOrazaly ปีที่แล้ว

    How call this theorem?