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@jemoka / Jemoka Knowledge Base / raw/concept/kbhgeometric_interperattion_of_the_dual.md
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--- title: "Geometric Interperattion of the Dual" source: https://www.jemoka.com/posts/kbhgeometric_interperattion_of_the_dual/ --- Let \(\mathcal{G} = \qty {f_{1}\qty(x), f_{0}\qty(x) \mid x \in \mathcal{D}}\) be the set of achievable constraint/objective pairs. The Lagrange Dual Function \(g\qty(\lambda) = \text{inf}_{t,u \in G} \qty(t + \lambda u)\). We will push this line all the way down, and then push up its slope as much as possible.