convexsetconvexhull

convex hull c o n v S conv S convS: set of all convex combinations of points in S S S. Convex hull. 凸錐組合與凸錐(conic combination and convex cone).

Definition edit · Definition: The convex hull H(X) of a set X is the intersection of all convex sets of which X is a subset. · Theorem: If X is closed and ...

The intersection of all the convex sets that contain a given subset A of Euclidean space is called the convex hull of A. It is the smallest convex set ...

The convex hull may be defined either as the intersection of all convex sets containing a given subset of a Euclidean space, or equivalently as the set of all ...

2017年4月18日 — Let S⊂Rn. Prove that the convex hull of S is a convex set. ... Using Proof by Induction m=1 is trivial and m=2 is the definition of a convex set.

Definition 3.1 A set P ⊆ Rd is convex if pq ⊆ P, for any p,q ∈ P. An alternative, equivalent way to phrase convexity would be to demand that for every line l ...

中譯「凸包」或「凸殼」。在高維空間中有一群散佈各處的點，「凸包」是包覆這群點的所有外殼當中，表面積暨容積最小的一個外殼，而最小的外殼一定是凸的。

In the following sections we introduce the convex hull and intersection of halfspaces representations, which can be used to show that a set is convex, or prove ...