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Tangent cone

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics Algebra Linear algebra Convex geometry
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In mathematical optimization and differential geometry, the **tangent cone** at a point \( x_0 \) of a set \( C \) is a concept that describes the directions in which one can move from that point while remaining within the set. It is particularly useful in the study of convex analysis, nonsmooth analysis, and variational analysis.

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