Saturday 26 May 2012

Generalized gamma


The abstraction of gamma can be activated to any nonlinear relationship. For the power-law accord Vout = Vinγ, the ambit on a log–log artifice is a beeline line, with abruptness everywhere according to gamma (slope is represented actuality by the acquired operator):

That is, gamma can be visualised as the abruptness of the input–output ambit if advised on logarithmic axes. For a power-law curve, this abruptness is constant, but the abstraction can be continued to any blazon of curve, in which case gamma (strictly speaking, "point gamma"3) is authentic as the abruptness of the ambit in any accurate region.

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