File:Z2^4; Lattice of subgroups Hasse diagram adjacency matrix.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 and according to some kind of duality between the elements.

In the top right corner the following matrix is shown:

The XNOR operations of the arguments to the left

This matrix is nearly symmetrical to the subdiagonal. Apart from the centered rows and columns 56, 53, 54 (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
 
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Date/TimeThumbnailDimensionsUserComment
current13:09, 25 July 2014Thumbnail for version as of 13:09, 25 July 2014625 × 625 (318 KB)Wereldburger758 (talk | contribs)Removal grid from code. Valid SVG now.
22:00, 10 August 2010Thumbnail for version as of 22:00, 10 August 2010625 × 625 (319 KB)Mate2Code (talk | contribs)== Description == 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 latt

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