Generating Functions - Differencing

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  • Опубликовано: 27 окт 2024

Комментарии • 16

  • @khoinguyenquang2649
    @khoinguyenquang2649 5 лет назад +1

    Wonderful! Thanks so much for your teaching!

  • @__________5452
    @__________5452 5 лет назад +3

    How many times we have to roll dice in 10 ways to get sum as 3 ... i hate discrete

  • @oscarlevin
    @oscarlevin  12 лет назад +1

    Try using differencing twice. The first differencing gives the sequence 3, 9, 15, 21. Then try to find a generating function for THAT sequence. Use differencing on the new sequence to get 6, 6, 6, 6, ... and use the known generating function for that part.

  • @sharathg6127
    @sharathg6127 7 лет назад +2

    How u took that 1-2x+3x²-4x³+5x⁴... As 1/(1+x)².????

    • @mencobasukses97
      @mencobasukses97 5 лет назад

      ya I need exxplanation for this too actually

    • @holyshit922
      @holyshit922 3 года назад

      Derivative of geometric series or generalized binomial expansion

  • @oscarlevin
    @oscarlevin  12 лет назад

    The generating function for 6x^2+ 6x^3 + ... is 6x^2(1/1-x). The other terms come along for the ride.

  • @holyshit922
    @holyshit922 3 года назад

    6:23 In generating function we dont care about convergence too much so it is easier to observe that we have derivative of geometric series here

    • @aashsyed1277
      @aashsyed1277 3 года назад

      i also watch sybermath!,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,hi!

  • @siddharthkatyal
    @siddharthkatyal 7 лет назад

    In the second example instead of subtracting xA can we add it make (1+x)A=...........................

  • @saritahirekhan8829
    @saritahirekhan8829 7 лет назад

    Thank you

    • @abhineetsagar
      @abhineetsagar 7 лет назад

      sarita hirekhan are you a student of MAKAUT , and giving semester exams 2017 ???
      😂😂 I just guess that

    • @saritahirekhan8829
      @saritahirekhan8829 7 лет назад

      Nope

    • @abhineetsagar
      @abhineetsagar 7 лет назад

      sarita hirekhan So , what are you studying ??

    • @abhineetsagar
      @abhineetsagar 7 лет назад

      sarita hirekhan I also have a question. ,if you can help me