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Results tagged with convex-geometry
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user 468
A branch of geometry dealing with convex sets and functions. Polytopes, convex bodies, discrete geometry, linear programming, antimatroids, ...
1
vote
Expected distance of a random point to the convex hull of N other points
This answers the question about comparing the expected value of the distance from $X_0$ to the convex hull of the $X_i$ (for $i>1$) and the expected value of the distance from $Y$ to the convex hull. …
- 6,327
8
votes
Accepted
Break polyhedron into tetrahedron
If I understand your question correctly, you're saying that the given information is the face structure of a 3-dimensional convex polytope, and you would like a subdivision of the polytope into tetrah …
- 6,327
5
votes
Accepted
Approximation of convex bodies by polytopes corresponding to smooth toric varieties
Yes. Let $\Sigma$ be the fan corresponding to $P$. Section 2.6 of Fulton's "Introduction to Toric Varieties" explains how to perform toric resolution of singularities on $\Sigma$ so as to produce a fa …
- 6,327