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Math Help - Approximation (A-C)/(B-D) ~= A/B + ...?

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    Approximation (A-C)/(B-D) ~= A/B + ...?

    In the data reduction of a physics experiment i am conducting, it could be advantageous
    to input A/B as a parameter instead of A and B separately.
    The data reduction program now has this form:

    output = (A-C)/(B-D)

    with A,B,C,D physical input parameters (some measured, some material constants).
    My question: how can I find an approximation that has A/B as the first term:

    output = A/B + f(A/B,C,D)

    with f(A/B,C,D) a function of the ratio A/B, and the remaining parameters C and D.
    This data reduction program only uses A/B as a parameter.

    The name of a systematic approach or anything related are very welcome,
    thank you for your time.
    Last edited by bartvh; May 1st 2010 at 11:18 AM. Reason: grammar
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