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Interesting Symmetries

Scheduled Pinned Locked Moved Algorithms
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  • Steve EcholsS Steve Echols

    That's interesting... I'm just wondering if I can apply it to anything useful. Probably not, but still a fun exercise. (Nice sig, BTW).


    - S 50 cups of coffee and you know it's on!

    A Offline
    A Offline
    Aamir Butt
    wrote on last edited by
    #3

    Steve Echols wrote:

    (Nice sig, BTW).

    Thanks :) That was from a T-Shirt.

    Bombing for Peace is like Fucking For Virginity" My Articles

    L U 2 Replies Last reply
    0
    • A Aamir Butt

      Steve Echols wrote:

      (Nice sig, BTW).

      Thanks :) That was from a T-Shirt.

      Bombing for Peace is like Fucking For Virginity" My Articles

      L Offline
      L Offline
      leppie
      wrote on last edited by
      #4

      The version I know is "fighting" but I guess "bombing" is more relative nowadays.

      **

      xacc.ide-0.2.0.50 - now with partial MSBuild support!

      **

      U 1 Reply Last reply
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      • A Aamir Butt

        1 x 8 + 1 = 9 12 x 8 + 2 = 98 123 x 8 + 3 = 987 1234 x 8 + 4 = 9876 12345 x 8 + 5 = 98765 123456 x 8 + 6 = 987654 1234567 x 8 + 7 = 9876543 12345678 x 8 + 8 = 98765432 123456789 x 8 + 9 = 987654321 1 x 9 + 2 = 11 12 x 9 + 3 = 111 123 x 9 + 4 = 1111 1234 x 9 + 5 = 11111 12345 x 9 + 6 = 111111 123456 x 9 + 7 = 1111111 1234567 x 9 + 8 = 11111111 12345678 x 9 + 9 = 111111111 123456789 x 9 +10= 1111111111 9 x 9 + 7 = 88 98 x 9 + 6 = 888 987 x 9 + 5 = 8888 9876 x 9 + 4 = 88888 98765 x 9 + 3 = 888888 987654 x 9 + 2 = 8888888 9876543 x 9 + 1 = 88888888 98765432 x 9 + 0 = 888888888 And finally, take a look at this symmetry: 1 x 1 = 1 11 x 11 = 121 111 x 111 = 12321 1111 x 1111 = 1234321 11111 x 11111 = 123454321 111111 x 111111 = 12345654321 1111111 x 1111111 = 1234567654321 11111111 x 11111111 = 123456787654321 111111111 x 111111111 = 12345678987654321

        Bombing for Peace is like Fucking For Virginity" My Articles

        R Offline
        R Offline
        Ryan Binns
        wrote on last edited by
        #5

        a(n) = (n + a(n - 1)*10^L(n)/(1 + 10^(n*L(n - 1) - (10^L(n - 1) - 1)/9)))*(1 + 10^((n + 1)*L(n) - (10^L(n) - 1)/9))     where L(n) = floor[log10(10n)] 11, 1212, 123123, 12341234, 1234512345, 123456123456, 12345671234567, 1234567812345678, 123456789123456789, 1234567891012345678910, 12345678910111234567891011, 123456789101112123456789101112, ...

        Ryan

        "Punctuality is only a virtue for those who aren't smart enough to think of good excuses for being late" John Nichol "Point Of Impact"

        U 1 Reply Last reply
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        • A Aamir Butt

          1 x 8 + 1 = 9 12 x 8 + 2 = 98 123 x 8 + 3 = 987 1234 x 8 + 4 = 9876 12345 x 8 + 5 = 98765 123456 x 8 + 6 = 987654 1234567 x 8 + 7 = 9876543 12345678 x 8 + 8 = 98765432 123456789 x 8 + 9 = 987654321 1 x 9 + 2 = 11 12 x 9 + 3 = 111 123 x 9 + 4 = 1111 1234 x 9 + 5 = 11111 12345 x 9 + 6 = 111111 123456 x 9 + 7 = 1111111 1234567 x 9 + 8 = 11111111 12345678 x 9 + 9 = 111111111 123456789 x 9 +10= 1111111111 9 x 9 + 7 = 88 98 x 9 + 6 = 888 987 x 9 + 5 = 8888 9876 x 9 + 4 = 88888 98765 x 9 + 3 = 888888 987654 x 9 + 2 = 8888888 9876543 x 9 + 1 = 88888888 98765432 x 9 + 0 = 888888888 And finally, take a look at this symmetry: 1 x 1 = 1 11 x 11 = 121 111 x 111 = 12321 1111 x 1111 = 1234321 11111 x 11111 = 123454321 111111 x 111111 = 12345654321 1111111 x 1111111 = 1234567654321 11111111 x 11111111 = 123456787654321 111111111 x 111111111 = 12345678987654321

          Bombing for Peace is like Fucking For Virginity" My Articles

          T Offline
          T Offline
          Tim Craig
          wrote on last edited by
          #6

          Interesting. Does it carry over into number systems with bases different than 10?

          The evolution of the human genome is too important to be left to chance.

          U 1 Reply Last reply
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          • T Tim Craig

            Interesting. Does it carry over into number systems with bases different than 10?

            The evolution of the human genome is too important to be left to chance.

            U Offline
            U Offline
            User 12346520
            wrote on last edited by
            #7

            thanks: https://movied.org

            1 Reply Last reply
            0
            • R Ryan Binns

              a(n) = (n + a(n - 1)*10^L(n)/(1 + 10^(n*L(n - 1) - (10^L(n - 1) - 1)/9)))*(1 + 10^((n + 1)*L(n) - (10^L(n) - 1)/9))     where L(n) = floor[log10(10n)] 11, 1212, 123123, 12341234, 1234512345, 123456123456, 12345671234567, 1234567812345678, 123456789123456789, 1234567891012345678910, 12345678910111234567891011, 123456789101112123456789101112, ...

              Ryan

              "Punctuality is only a virtue for those who aren't smart enough to think of good excuses for being late" John Nichol "Point Of Impact"

              U Offline
              U Offline
              User 12346520
              wrote on last edited by
              #8

              thanks: https://movied.org

              1 Reply Last reply
              0
              • L leppie

                The version I know is "fighting" but I guess "bombing" is more relative nowadays.

                **

                xacc.ide-0.2.0.50 - now with partial MSBuild support!

                **

                U Offline
                U Offline
                User 12346520
                wrote on last edited by
                #9

                thanks: https://movied.org

                1 Reply Last reply
                0
                • A Aamir Butt

                  Steve Echols wrote:

                  (Nice sig, BTW).

                  Thanks :) That was from a T-Shirt.

                  Bombing for Peace is like Fucking For Virginity" My Articles

                  U Offline
                  U Offline
                  User 12346520
                  wrote on last edited by
                  #10

                  thanks: https://movied.org

                  1 Reply Last reply
                  0
                  • Steve EcholsS Steve Echols

                    That's interesting... I'm just wondering if I can apply it to anything useful. Probably not, but still a fun exercise. (Nice sig, BTW).


                    - S 50 cups of coffee and you know it's on!

                    U Offline
                    U Offline
                    User 12346520
                    wrote on last edited by
                    #11

                    thanks: https://movied.org

                    1 Reply Last reply
                    0
                    • A Aamir Butt

                      1 x 8 + 1 = 9 12 x 8 + 2 = 98 123 x 8 + 3 = 987 1234 x 8 + 4 = 9876 12345 x 8 + 5 = 98765 123456 x 8 + 6 = 987654 1234567 x 8 + 7 = 9876543 12345678 x 8 + 8 = 98765432 123456789 x 8 + 9 = 987654321 1 x 9 + 2 = 11 12 x 9 + 3 = 111 123 x 9 + 4 = 1111 1234 x 9 + 5 = 11111 12345 x 9 + 6 = 111111 123456 x 9 + 7 = 1111111 1234567 x 9 + 8 = 11111111 12345678 x 9 + 9 = 111111111 123456789 x 9 +10= 1111111111 9 x 9 + 7 = 88 98 x 9 + 6 = 888 987 x 9 + 5 = 8888 9876 x 9 + 4 = 88888 98765 x 9 + 3 = 888888 987654 x 9 + 2 = 8888888 9876543 x 9 + 1 = 88888888 98765432 x 9 + 0 = 888888888 And finally, take a look at this symmetry: 1 x 1 = 1 11 x 11 = 121 111 x 111 = 12321 1111 x 1111 = 1234321 11111 x 11111 = 123454321 111111 x 111111 = 12345654321 1111111 x 1111111 = 1234567654321 11111111 x 11111111 = 123456787654321 111111111 x 111111111 = 12345678987654321

                      Bombing for Peace is like Fucking For Virginity" My Articles

                      U Offline
                      U Offline
                      User 12346520
                      wrote on last edited by
                      #12

                      thanks: https://movied.org

                      1 Reply Last reply
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