Convex Hull, Set of Convex Combinations and Convex Cone

Noboru Endou

Gifu National College of Technology

Yasunari Shidama

Shinshu University, Nagano

Summary.

In this article, there are two themes. One of them is the proof that convex hull of a given subset $M$ consists of all convex combinations of $M.$ Another is definitions of cone and convex cone and some properties of them.

MML Identifier: CONVEX3

Contents (PDF format)

1. Equality of Convex Hull and Set of Convex Combinations
2. Cone and Convex Cone

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