# Barycenter

### From Glossary

This is the *center of mass* and is the point at which a mass (body)
can be considered as being concentrated without altering the effect of the
attraction that the earth has upon it. This is the average position of particles
located at postions weighted by their masses ,

In mathematical programming, this is usually used to mean the simple average of the extreme points of a polytope,

where is the set of extreme points. This could be a weighted average,

where .