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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
Compositions and DecompositionsCompositions and Decompositions 105
5.2.4 Entropy Calculus
A partition is identifi ed with a binary word “w” obtained by fi lling its ribbon
diagram from left to right and from top to bottom with “1” in the fi rst box
and in any box following a descent, “0” elsewhere.
It results a situation as that shown in Fig. 5.16.
Figure 5.16 shows the fi lling of cells for integer partition.
Figure 5.17 illustrates the partition-binary word correspondence
Fig. 5.16 Filling of integer partition.
Fig. 5.17 Partition-binary word correspondence.
1
1
1
1
1
1
1
1
1
1
1
1
1
0
01
1 00
1 0 0 0
0
ˆ
1 0
1
1 1
01
0
1
00
1
1
1
w=1111
1
1
1
0
w=1011
1 0 0
1
w=1001
1
106 Polytope Projects ...
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Publisher Resources

ISBN: 9781482204643