Studies of Boolean functions

These articles about Boolean functions use a similar style and terminology.   They are created by Watchduck a.k.a. Tilman Piesk.

• Studies of Boolean functions/terminology
• Studies of Boolean functions/examples
• Discrete helpers/boolf

• hard and soft properties of Boolean functions
• Integer sequences related to Boolean functions
• Linear Boolean functions
• Gender of Boolean functions
• Mentors of Boolean functions
• Principalities and dominions of Boolean functions
• Families of Boolean functions
• Tesseract and 16-cell faces

Studies of Euler diagrams

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Zhegalkin indices

ANF to truth table

Zhegalkin matrix

• Algebraic normal form
• Zhegalkin matrix, Zhegalkin twins
• Noble Boolean functions
• Gentle sets of Boolean functions
• Linear and noble Boolean functions
• Smallest Zhegalkin index

Commons

Some topics exist mainly in the form of categories on Commons. Articles here should follow.

3-ary (4)	4-ary (20)	great principalities with entries	on diagonal   (related to patron dominions)
3-ary (4)	4-ary (22)		in top row   (related to patron principalities)

2-ary     3-ary     4-ary         great prefects in hypercube matrix

2-ary     3-ary     4-ary         principalities and dominions in hypercube matrix

• Quadrant colors in hypercube matrices (image set)

• 3-ary Boolean functions in octeract matrix; faction clusters
• 3-ary Boolean functions; graphs of faction clusters

• Walsh spectra of 3-ary Boolean functions; families

old

These old pages require some updates.

• 3-ary Boolean functions
• 4-ary Boolean functions
• Seal (discrete mathematics) (subgroups of nimber addition))