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'''[[Main Page|Home]] * [[Chess]] * [[Pieces]] * Influence Quantity'''
[[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], [https://en.wikipedia.org/wiki/University_of_Minnesota [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''').''[http://www.danheisman.com/elements-of-positional-evaluation.html The Positional Elements of Chess]''. 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]].
