The Following definitions are from the book Convex Analysis, by Rockafellar RT. Aside from the basic definitions, these definitions have tiny size so there will be no attached files associated with the following contents, however, one may find the pdf version by clicking the address short after this intro section.Tianyu Zhang
A set which is the convex hull of finitely many points is called a polytope.
Convex Analysis, Rockafellar RT, Chapter 1 Section 2
Convex Analysis, ROckafellar RT, Chapter 4 Section 19