File:Inequivalent monotonic Boolean functions by actual arity, nominal arity 3.svg

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Image set Inequivalent monotonic Boolean functions by actual arity

Hasse diagram of the Sloane's A003182(n) inequivalent of monotonic Boolean functions of nominal arity n

The node color stands for the actual arity, e.g. red for 0 (constant) and yellow for 3.

The actual arity a (gray) corresponds to the ratio of monotonic functions to all functions in the BEC, which is 1/2a (blue).
This ratio is shown as an unreduced fraction over each node, so the sum of all the numerators is Dedekind(n).

The black index numbers in the nodes refer to the rational order of BECs.

This SVG was created with Inkscape.
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Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".

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current22:47, 8 August 2019Thumbnail for version as of 22:47, 8 August 2019557 × 557 (144 KB)Watchduck (talk | contribs)

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