totalistic

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English

Etymology

totalist +‎ -ic

Adjective

totalistic (not comparable)

  1. Of or relating to totalism.
  2. (cellular automata):
    1. Having the state of each cell represented by a number, and the value of a cell dependent only on the sum of the values of nearby cells.
      • 1989 March 21, Mark Kramer, “Fast LIFE (was: Re: summing 9-cell neighborhoods)”, in comp.theory.cell-automata‎ (Usenet):
        BTW: Of course the rules were parametrised, so any totalistic 2-dimensional 9-neighbourhood CA could be run.
      • 1993 January 17, Dan Gordon, “Universal Cellular Automata.”, in comp.theory.cell-automata‎ (Usenet):
        Note that the game of life is not totalistic: the transition function depends on the cell's own state and on the sum of the neighboring states.
      • 1994 July 3, Serge Winitzki, “Optimizing "bitblt" functions using Xor”, in comp.theory.cell-automata‎ (Usenet):
        The Xor operation drastically cuts down the number of operations when dealing with totalistic CA rules. For example, a function of four variables a, b, c, d, returning 1 iff there are exactly two ones and two zeros among its arguments, is represented by this Karnaugh diagram:
    2. Outer totalistic.
      • 1999 September 2, J. Elliott, “ANNOUNCE: WebsideCA Java applet update”, in comp.theory.cell-automata‎ (Usenet):
        Many good applets run Moore binary totalistic rules such as Conway's Life, but WebsideCA also runs von Neumann rules, rules in the "Brian's Brain" family, non-totalistic binary and decay rules, and Cyclic rules.
      • 2000 August 20, Gerard Vriens, “Discussion: neighbourhoods”, in comp.theory.cell-automata‎ (Usenet):
        Since Life is totalistic on 8 neighbours, this requires no extra assumptions.
      • 2001 October 31, Erik Francis, “Four new rules with replicators”, in comp.theory.cell-automata‎ (Usenet):
        ... but the B/S notation is _the_ standard for two-state totalistic rules.

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