That implies that only strictly monotonic functions have an inverse that is also a function-for other function, the inverse is only a relation .-- talk ) 23 : 12, 19 May 2009 ( UTC)
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Since " f " is injective and continuous, it follows that " f " is a strictly monotonic function, and therefore that the " f "-mean is neither larger than the largest number of the tuple x nor smaller than the smallest number in x.
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