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    On two types of exotic addition

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    Date
    2009
    Author
    Northshield, Sam
    Publisher
    Aequationes Mathematicae
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    Abstract
    We classify, under reasonable assumptions, all differentiable functions f for which the 'secant method' [xf(y)- yf(x)]/[f(y)- f(x)] is continuous and associative. Further, we classify all differentiable functions for which the similar type of addition xf(y) + yf(x) is associative.
    Description
    This article has been published in Aequationes Mathematicae.
    URI
    http://hdl.handle.net/1951/69940
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    • Mathematics Faculty Work [20]

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