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Summation/Sigma equation

  1. Nov 6, 2008 #1


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    1. The problem statement, all variables and given/known data


    2. Relevant equations

    3. The attempt at a solution

    A puzzle I'm trying to find a solution to, and have no idea on where to begin. Any pointers, or answers, appreciated. Thanks.

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  3. Nov 7, 2008 #2


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    What exactly is the problem? You've given an equation but haven't said what problem you are trying to solve.

    I also see many difficulties with the equation: you have a sum over j but there is no j in the numbers to be summed. If that is really what you mean then the result is just 5 times kxlym for each l and m. But you also give different values of "k" for each l and m. Did you mean klm rather than just k? Looks to me like your equation becomes a 5 by 5 matrix equation with only some of the 25 entries involving x and y. Are we to assume that klm = 0 for combinations of l and m not in the table?
  4. Nov 8, 2008 #3


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    Hi HallsofIvy,

    I'm trying to find the values of x & y. The equation is all that has been given, no other instructions or pointers. I'm rapidly learning that it doesn't appear to be 'standard' for want of a better term. Your assumptions could well be correct, and you may be onto the right path. Thanks.
  5. Nov 8, 2008 #4


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    Your equation should really be written as

    [tex]\sum_{j=0}^5 k_j x^{l_j}y^{m_j} =0[/tex]

    Since the values of [itex]k[/itex], [itex]l[/itex] and [itex]m[/itex] all depend on the value of [itex]j[/itex].

    ...as for the best method of solving this; give me a moment to think about it.
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