Journal of Formalized Mathematics
Volume 15, 2003
University of Bialystok
Copyright (c) 2003
Association of Mizar Users
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
The terminology and notation used in this paper have been
introduced in the following articles
[7]
[11]
[8]
[2]
[12]
[3]
[5]
[1]
[4]
[9]
[10]
[6]

Equality of Convex Hull and Set of Convex Combinations

Cone and Convex Cone
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Received June 16, 2003
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