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What is the meaning of Complementarity in Karush–Kuhn–Tucker?

"In mathematical optimization, the Karush–Kuhn–Tucker (KKT) conditions, also known as the Kuhn–Tucker conditions, are first-order necessary conditions for a solution in nonlinear programming to be optimal, provided that some regularity conditions are satisfied."

Thank you!

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    Cf. [this answer](http://math.stackexchange.com/a/1954110/66081)2017-02-24

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