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Polytope Projects
book

Polytope Projects

by Octavian Iordache
October 2013
Intermediate to advanced content levelIntermediate to advanced
236 pages
6h 11m
English
CRC Press
Content preview from Polytope Projects
Methods and ModelsMethods and Models 37
2.6.3 Differential Ring of Polytopes
Another method correlating the polytopes to PDE was developed by
Buchstaber (Buchstaber 2008).
A polytope P
n
of dimension n is said to be simple if every vertex of P
is the intersection of exactly n facets, that is, facets of dimension n–1. The
collection of all n-dimensional combinatorial simple polytopes is denoted
by Pn. Let P =
0n
Pn
.
The approach is based on the differential ring, P, of combinatorial
polytopes. The ring P possesses a natural derivation d: PP.
This allows applying the theory of differential equations to the study
of polytopes and describing generating ...
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Publisher Resources

ISBN: 9781482204643