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Results tagged with convex-geometry
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user 105578
A branch of geometry dealing with convex sets and functions. Polytopes, convex bodies, discrete geometry, linear programming, antimatroids, ...
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An inequality about the volume of convex body
For a subset $S$ of $\mathbb{R}^n$, we denote by $\lambda S$ the dilation for any $\lambda \in \mathbb{R}$:
$$\lambda S=\{\lambda x| x\in S\}.$$
Let $\Omega$ be a convex body in $\mathbb{R}^n$ with $ …
- 179
4
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answer
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inradius of convex surface with curvature upper bound
Let $M$ be a compact smooth convex surface bounding $V$ in $\mathbb{R}^3$. If the mean curvature $H$ (the arithmetic mean of principal curvatures) of $M$ is less that 1, can we put a ball of radius 1 …
- 45k