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15
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Can Voronoi diagrams of lattices be made disjoint?

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#convex-analysis #convex-geometry #integer-lattices #voronoi-diagram
156
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The intersection of the facets on the polyhedron

Published on
#convex-geometry #affine-geometry #polyhedra #polytopes
58
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Verify proof about elementary claim on convex set and separating hyperplane

Published on
#elementary-set-theory #solution-verification #hilbert-spaces #convex-geometry
63
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$f$ a real sub linear function, prove that: $\partial f(a)= \left \{ z \in \partial f(0) | z\cdot a = f(a) \right \}$

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#elementary-set-theory #convex-geometry #subgradient
63
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Number of facets of the polyhedral cone $C=\text{cone}\{z_1,\cdots,z_{2^n}\}$, where $z_k$'s are the vertices of a hypercube

Published on
#linear-algebra #geometry #convex-analysis #convex-geometry
23
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Flags of convex polytope are oppositely oriented

Published on
#linear-algebra #convex-geometry
40
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Confused about the definition of internal angle of a face $F \subseteq$ polytope $G$.

Published on
#convex-analysis #convex-optimization #convex-geometry
52
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Prove the existence of a halfspace containing the polyhedron.

Published on
#convex-analysis #convex-geometry #polyhedra
99
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Writing a point in convex hull as convex combinations of determined points

Published on
#geometry #convex-analysis #convex-optimization #convex-geometry #convex-hulls
149
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Enclosing a lamp in space via Minkowski's theorem

Published on
#geometry #contest-math #3d #convex-geometry #integer-lattices
75
Views

Line segments in compact convex sets

Published on
#convex-geometry #discrete-geometry
106
Views

Cassini oval is convex for sufficiently large product constant

Published on
#geometry #analytic-geometry #convex-geometry
38
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$n$-dimensional polytopes with $(2n)$-vertices that are not really prisms

Published on
#geometry #euclidean-geometry #convex-geometry #polytopes
36
Views

Is an open set containing extreme points 0-dimensional?

Published on
#convex-geometry #polytopes
27
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Connection of Mixed Volume and Mixed Discriminant

Published on
#convex-analysis #determinant #convex-geometry #multilinear-algebra

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