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Math Help - Identification of a element in a set

  1. #1
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    Identification of a element in a set

    Hello,
    Assume a set of N number (n1, n2 , n3 , n4, n5 …… Nn)
    A function of this N numbers f (n1, n2, n3 ….Nn) = F
    Given a number Nx, I want to see whether it is part of the set by using the value F and Nx.
    In other words I don’t want to compare Nx with the set sequentially to find it out, Instead use F and Nx and find it.
    If you know of any mathematical model which can help me in this situation please let me know. Or you can point me to area where I can study further.
    Thanks
    GOPI
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  2. #2
    MHF Contributor Bruno J.'s Avatar
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    Couldn't you use f(x) = (x-N_1)...(x-N_n)? Then f(k) = 0 if and only if k is one of the numbers in your set.
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  3. #3
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    Quote Originally Posted by Bruno J. View Post
    Couldn't you use f(x) = (x-N_1)...(x-N_n)? Then f(k) = 0 if and only if k is one of the numbers in your set.
    Is that what that confussing question meant?
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