File:Z2^4; Lattice of subgroups Hasse diagram adjacency matrix (rearranged by digit sum).svg

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67x67 matrix, showing the finer than relation between the partitions shown in File:Boolean partition matrices.svg.

This matrix shows the same relation as File:Boolean partition lattice 4.svg, but the elements are rearranged in a different order, according to their digit sum. For digit sums except 4 the order is the same as in File:Boolean partition matrices top lines by digit sum.svg.

This matrix is nearly symmetrical to the subdiagonal. Apart from the centered rows and columns 33, 34 and 37 (slightly shaded in gray) it is symmetrical to the subdiagonal. With only one of these shaded rows and columns it's still symmetrical.

The file is shown at the end of this page.

Hasse diagram for the small lattice
small, lexicographical
small, rearranged by digit sum
small, with XNOR matrix
big, lexicographical
big, rearranged by digit sum
big, with XNOR matrix

Published by Boolean Algebra under the following licenses:

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Date/TimeThumbnailDimensionsUserComment
current18:09, 15 February 2010Thumbnail for version as of 18:09, 15 February 2010625 × 625 (353 KB)Mate2Code (talk | contribs)30 light red fields had to be changed into strong red fields
17:34, 15 February 2010Thumbnail for version as of 17:34, 15 February 2010625 × 625 (353 KB)Mate2Code (talk | contribs){{Information |Description=67x67 matrix, showing the ''finer than'' relation between the partitions shown in File:Boolean partition matrices.svg#File. This matrix shows the same relation as File:Boolean partition lattice 4.svg, but the element

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