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Math Help - [SOLVED] Can Generating Functions be easily explained?

  1. #1
    ColoradoIcculus
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    [SOLVED] Can Generating Functions be easily explained?

    I would really like to learn generating functions before I take my exam next week...

    For example, how many ways can you make like $2.37 in pennies, nickels, dimes and quarters?

    I kindof understand how to get the generating function (like (1/(1+x)) * (1/(1+x^5))*...

    but what does it mean?

    EDIT:
    Also, thats the Kotch snowflake in the upper left hand corner is it not? A 4-d object if I remember correctly (or something like that)
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  2. #2
    MHF Contributor
    Opalg's Avatar
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    Quote Originally Posted by ColoradoIcculus View Post
    Also, thats the Kotch snowflake in the upper left hand corner is it not? A 4-d object if I remember correctly (or something like that)
    Not quite. It's the Sierpinski gasket. The Koch snowflake looks like this. But they are both examples of fractal shapes.
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