Counting Integer Points in Polygons with Negative Numbers | A 'moral' Intro to Generating Functions

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  • Опубликовано: 25 янв 2025

Комментарии • 19

  • @pawebielinski4903
    @pawebielinski4903 Год назад

    Just after rewatch, I cannot fully exress how much I lika and appreciate this video.

  • @lexinwonderland5741
    @lexinwonderland5741 2 года назад +2

    This was absolutely fantastic! I can't wait to see more of your content!

  • @ArtArtisian
    @ArtArtisian 2 года назад +3

    I really appreciate the details being worked in time-lapse. It's a good touch.

  • @columbus8myhw
    @columbus8myhw 2 года назад +1

    Woah I _just_ learned about this (and by "just" I mean "a few weeks ago")! That timing is crazy!

  • @kohwenxu
    @kohwenxu 2 года назад

    For those who might think the function f(n) at 14:09 is weird, that is the Fibonacci numbers in an explicit formula. The n in the formula must be an integer to see the Fibonacci numbers.

  • @azimuth4850
    @azimuth4850 2 года назад

    Only 15 min in and this is extremely cool, thank you for making this video!!!

  • @rafiihsanalfathin9479
    @rafiihsanalfathin9479 2 года назад

    Cute animation and overall enjoyable video! Even thought im not really familiar with this kind of mathematics but i can follow it pretty well. Nice submission!

  • @columbus8myhw
    @columbus8myhw 2 года назад +1

    30:30 Why a _quadratic_ of z? Wouldn't it be a cubic? EDIT: Oh, right, you don't count the top vertex of the parallelopiped

  • @helloiamenergyman
    @helloiamenergyman 2 года назад

    Hoo boy, I'll have an extremely enjoyable hour today :)

  • @johnchessant3012
    @johnchessant3012 2 года назад +2

    Ehrhart polynomials are so cool!

    • @SnarkyMath
      @SnarkyMath  2 года назад +1

      Ikr! Here, take a hart.

  • @archieeliot29
    @archieeliot29 2 года назад

    Can I ask the shorcut formula how to solve 5 or more circles venn diagram😇😇Plsss help Thank you😇!

  • @umotoyu6435
    @umotoyu6435 2 года назад +3

    Yeeeeeeeeeeeeeeees!

  • @PhilipSmolen
    @PhilipSmolen 2 года назад +1

    Are generating functions a new idea? I watch a lot of math, and I don't remember seeing this until recently.

    • @SnarkyMath
      @SnarkyMath  2 года назад +2

      No. If I'm not wrong, they were used since 1700s as a general problem solving technique applicable to many fields like number theory and probability theory. As for RUclips math, I haven't seen them a lot either. But Mathologer had made a video about them and they also made appearance in a recent 3Blue1Brown video.

    • @PhilipSmolen
      @PhilipSmolen 2 года назад

      @@SnarkyMath That makes sense. They just became popular recently. Good luck in the contest.

  • @horacehung8373
    @horacehung8373 2 года назад

    The thumbnail can be more clickbaity :) Appreciate the 1-hour video effort. Impressive!