Counting Tilings (with Linear Algebra)

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  • Опубліковано 25 сер 2024

КОМЕНТАРІ • 18

  • @TheCustrOomer
    @TheCustrOomer 2 роки тому +14

    This is sumthing really awesum!

  • @Number_Cruncher
    @Number_Cruncher 2 роки тому +12

    I got lost in the middle. But it sounds like a really fascinating calculation. I will definitely go through it one more time more carefully. It is really nicely presented. It's amazing what different pieces enter into the proof.

  • @dominus_ignaviae
    @dominus_ignaviae 16 днів тому

    thank you so much! thing make a lot of sense now!

  • @Dragoo417
    @Dragoo417 Рік тому +5

    Nice work !
    I did a project on this during my bachelor (mainly explaining the same things you did, but with less visuals). One of the things you did not present was that the eigenvalues of the line graphs are actually (almost) the roots of Tchebyshev polynomials of the second kind. This avoids some calculations in the second half of the video but requires to know those polynomials in the first place.
    Anyway, thanks for your work !

  • @vcubingx
    @vcubingx 9 місяців тому

    Just saw this - amazing video! Nice work :)

  • @felixwang4149
    @felixwang4149 2 роки тому +4

    Great Video. Easy to follow and nice style and animations.

  • @edvogel56
    @edvogel56 Рік тому

    Thank you for addressing "how do you know you are done?" right at the beginning!

  • @johnchessant3012
    @johnchessant3012 Рік тому +1

    Great video!

  • @WhiterockFTP
    @WhiterockFTP 2 роки тому +2

    amazing video!!!! keep it up

  • @masaftic
    @masaftic 2 роки тому

    amazing
    i like counting problems

  • @rajasvlog7729
    @rajasvlog7729 2 роки тому

    More video is needed

  • @adrien5568
    @adrien5568 2 роки тому +1

    I got lost in the middle. I find it funny because I was working with a kinda similar problem but with imperfect matching. I compute by hand the first values but those values are not in the OEIS, at this point I gave up.

  • @abdomsisn
    @abdomsisn Рік тому

    14:44 I didn't get this part, in the example there are 11 red and blue outside edges so the product of weights will be -i and 1 and how does them differ by (-1)^16 = 1?

  • @rubberduck2078
    @rubberduck2078 2 роки тому +1

    Nice voice

  • @rajasvlog7729
    @rajasvlog7729 2 роки тому

    Aewsom

  • @nikolakosanovic9931
    @nikolakosanovic9931 Рік тому

    Please make background other color
    I think that my phone turned off every time