Convex Set or Convex Space? - Mathematics Stack Exchange
2018年5月28日 · A convex set does not. It has its own algebraic structure, specifically, a line segment between two points must be contained in the set, but such a structure relies on the …
Convex Set Proof - Mathematics Stack Exchange
Convex Set Proof. Ask Question Asked 13 years, 4 months ago. Modified 13 years, 4 months ago. Viewed 2k ...
Is $\Bbb R$ a convex set? - Mathematics Stack Exchange
I was looking for some proofs that $\Bbb R$ is a convex set, but I could not find any. So I have calculated some results of a loss function and these results are, let us say, a subset of real …
convex analysis - Are affineness and convexity equivalent ...
2024年5月21日 · A set S in R^n is said to be convex if we consider any two distinct points from this set, then the line segment through these points must lie in the set we considered.On the …
calculus - Building a convex function from a convex set
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Supporting hyperplane of a convex set - Mathematics Stack …
2015年5月18日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
Vertices of a convex set - Mathematics Stack Exchange
2020年2月7日 · Definition of the cone generated by a convex set in infinite dimensional space. 2.
Is the closure of a convex set again a convex set?
You can have a (non-convex) set, two points in the closure of that set, and sequences going to those two points where each segment between corresponding points in the sequences is in …
The measurability of convex sets - Mathematics Stack Exchange
2024年5月17日 · One can assume that the convex set has non empty interior. Then the projection onto the closure can be shown to be Lipschitz and differentiable everywhere, except at the …
What exactly is a convex set in two dimensional space?
2015年8月18日 · A set's convexity has nothing specifically to do with any function that might be defined on it. Heuristically, a convex set (in $\mathbb{R}^2$) is simply one that has no …