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[[FILE:SamuelBakIntruder.jpg|border|right|thumb|link=http://chgs.elevator.umn.edu/asset/viewAsset/57f3b6787d58ae5f74bf8ba9#57f3b6d77d58ae5574bf8bd0|[[:Category:Samuel Bak|Samuel Bak]] - Intruder <ref>[http://chgs.elevator.umn.edu/asset/viewAsset/57f3b6787d58ae5f74bf8ba9#57f3b6d77d58ae5574bf8bd0 Chess in the Art of Samuel Bak] [http://chgs.elevator.umn.edu/ Center for Holocaust & Genocide Studies], [[University of Minnesota]]</ref> ]]
The '''influence quantity''' of pieces is defined by their number of unique [[Moves|moves]] with respect to their [[Origin Square|from]]- and [[Target Square|to-square]] coordinates, the [https://en.wikipedia.org/wiki/Cardinality cardinality] of the set of all possible moves, or [[Mobility#TheValueofReachingaSquare|potential, global]] [[Mobility|mobility]] <ref>[[Dan Heisman]] ('''1990, 1999, 2010, 2015''').''[httphttps://www.danheisman.com/elements-of-positional-evaluation.html The Positional Elements of ChessPositional Evaluation]''. Russell Enterprises</ref>. It might be used to enumerate and [[Encoding Moves|encode]] all those moves, i.e. associating each move, per piece and in total, with a unique number for [[Hash Table#MinimalPerfectHashing|minimal perfect hashing]] opposed to intermittent [[Butterfly Boards|Butterfly boards]].
For instance a [[Pawn|pawn]] (including [[Promotions|promotions]]) has 48 (8*6) single pushes and 84 (2*7*6) [[Captures|captures]], plus 8 possible double pushes on each [[Files|file]], which results in a influence quantity of 140 of either white or black pawns.The influence quantities of all pieces are divisible by four times seven (28), excluding pawn and [[King|king]] even by sixteen times seven (112). While obviously the number of [[Queen|queen]] quantities is the sum of [[Rook|rook]]- and [[Bishop|bishop]] quantities, it is at the first glance somehow surprising that the rook quantity is the sum of bishop- and [[Knight|knight]] quantities.
* [[Mathematician#Coxeter|H. S. M. Coxeter]] ('''1940'''). ''Mathematical Recreations and Essays''. from the [http://www.gutenberg.org/ebooks/26839 original] by [[Mathematician#WWRouseBall|W. W. Rouse Ball]], [https://en.wikipedia.org/wiki/Macmillan_Publishers Macmillan]
* [[Jack Good]] ('''1968'''). ''A Five-Year Plan for Automatic Chess - Appendix F. The Value of the Pieces and Squares''. [http://www.doc.ic.ac.uk/~shm/MI/mi2.html Machine Intelligence Vol. 2]
* [[Dan Heisman]] ('''1990, 1999, 2010, 2015''').''[httphttps://www.danheisman.com/elements-of-positional-evaluation.html The Positional Elements of ChessPositional Evaluation]''. Russell Enterprises
* Peter Orantek ('''2008'''). ''[http://www.127jupiter.com/ Encyclopedia of Chess-Prehistory - Programming Language Chess]''.
: {{#evu:https://www.youtube.com/watch?v=GXaefhbtU2k|alignment=left|valignment=top}}
* [[:Category:Frank Zappa|Frank Zappa]] and [https://en.wikipedia.org/wiki/The_Mothers_of_Invention The Mothers of Invention], [https://en.wikipedia.org/wiki/Inca_Roads_(song) Inca Roads], 1974, ([https://en.wikipedia.org/wiki/A_Token_of_His_Extreme_(Soundtrack) A Token of His Extreme]), [https://en.wikipedia.org/wiki/YouTube YouTube] Video <ref>[https://en.wikipedia.org/wiki/Clay_animation Clay animation] by [https://en.wikipedia.org/wiki/Bruce_Bickford_(animator) Bruce Bickford]</ref> <ref>[http://adeucefortheskycap.blogspot.com/2007/10/eulogy-for-kelly-lowe-by-michael-king.html Kelly Fisher Lowe] ('''2006'''). ''[http://www.afka.net/Books/lowe.htm The Words and Music of Frank Zappa]''. Praeger Publishers, pp. 119 ''The lyrics to "Inca Roads" are absurdist in the extreme. They veer wildly from spacey - "Did a vehicle / Come from somewhere out there / Just to land in the Andes?," which both [https://en.wikipedia.org/wiki/Ben_Watson_(music_writer) Watson] and [http://www.beefheart.com/tag/kevin-courrier/ Courrier] claim Zappa's satire on the popular-at-the-time book [https://en.wikipedia.org/wiki/Chariots_of_the_Gods%3F Chariots of the Gods?]'' ...</ref> <ref>[https://en.wikipedia.org/wiki/Nazca_lines Nazca Lines from Wikipedia]</ref>
: [[:Category:Frank Zappa|Frank Zappa]], [[:Category:George Duke|George Duke]], [https://en.wikipedia.org/wiki/Napoleon_Murphy_Brock Napoleon Murphy Brock], [https[://en.wikipedia.org/wiki/Chester_Thompson Category:Chester Thompson|Chester Thompson]], [https://en.wikipedia.org/wiki/Tom_Fowler_%28musician%29 Tom Fowler], [https://en.wikipedia.org/wiki/Ruth_Underwood Ruth Underwood], [https://en.wikipedia.org/wiki/Captain_Beefheart Captain Beefheart]
: {{#evu:https://www.youtube.com/watch?v=wqp71DOJ3aY|alignment=left|valignment=top}}
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