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Results tagged with convex-geometry
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user 123734
A branch of geometry dealing with convex sets and functions. Polytopes, convex bodies, discrete geometry, linear programming, antimatroids, ...
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Relative interior of a normal cone at a face of a convex polytope?
Suppose $A$ is a nonempty convex polytope in $\mathbb{R}^n$. Suppose $F$ is a face of $A$.
Consider the normal cone of $A$ at $F$:
$C_A(F)=\{v\in\mathbb{R}^n:v\cdot x\geq v\cdot y\ \forall\ x\in …
- 159
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Several convex polytopes in a simplex; fix an extreme point for each; how many can be suppor...
Sorry the title may be unclear. I do not know how to give it a good title.....
Let $\Delta$ be a probability simplex of $R^N$; i.e. set of all points $x$ such that $x\geq0$ and $\sum_{k=1}^Nx^k\leq1$ …
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