Construct · 2 fields · 2 citations
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In optimization, the primal problem is the original constrained minimization (or maximization) exactly as first posed. Every such problem pairs with a derived dual problem built from its Lagrangian, and the dual's optimum bounds the primal's; under conditions such as convexity with a constraint qualification the two optima coincide, a situation called strong duality. Boyd and Vandenberghe's Convex optimization develops this primal–dual relationship and the duality gap that separates them. The word marks which side of that pairing a formulation sits on, and has nothing to do with a cut of meat or a basic belief about the world.[1]
In personality psychology, primals (primal world beliefs) are a person's most basic beliefs about the overall character of the world (whether it is, on the whole, safe or dangerous, enticing or dull, alive or mechanistic), beliefs thought to colour emotion and behaviour broadly. Clifton and colleagues' Primal world beliefs mapped the main dimensions and built validated scales to measure them. Here "primal" names a foundational belief about reality, unrelated to a wholesale carcass section or to the untransformed side of an optimization problem.[2]
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