Decoupling (analysis)

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In mathematical analysis, decoupling is the sum of derivatives of a function $f:\mathbb{R} ^{n}\to \mathbb{R} ^{k}\!$ with respect to all the arguments. It can be viewed as the functional that minimizes the Lie derivative of the function $f$ along all the possible paths. Together with the super-trowel function, it is one of the most used tools in the analysis of general equilibrium in economics.

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