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Results tagged with convex-geometry
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user 105176
A branch of geometry dealing with convex sets and functions. Polytopes, convex bodies, discrete geometry, linear programming, antimatroids, ...
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Intersection of segments in $\mathbf{R}^{k}$
Let $A$ be a set composed by an even number $n$ of distinct points in $\mathbf{R}^{k}$, such that any 3 points in $A$ are non-collinear in $\mathbf{R}^{k}$.
Let us consider the set $P_{2}(A)$ of parti …
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Do internal stable sets contain big manifolds?
Given two strictly concave functions $u_{i}$ with continuous derivatives in $\mathbb{R}^{k}$. We define their upper levels at a point $x$ of these functions as the set of points y such that $u_i(y)>u_ …