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  2. Rule 30 - Wikipedia

    en.wikipedia.org/wiki/Rule_30

    Rule 30 is an elementary cellular automaton introduced by Stephen Wolfram in 1983. [2] Using Wolfram's classification scheme, Rule 30 is a Class III rule, displaying aperiodic, chaotic behaviour. This rule is of particular interest because it produces complex, seemingly random patterns from simple, well-defined rules.

  3. Pattern matching - Wikipedia

    en.wikipedia.org/wiki/Pattern_matching

    In computer science, pattern matching is the act of checking a given sequence of tokens for the presence of the constituents of some pattern. In contrast to pattern recognition, the match usually has to be exact: "either it will or will not be a match." The patterns generally have the form of either sequences or tree structures.

  4. Elementary cellular automaton - Wikipedia

    en.wikipedia.org/wiki/Elementary_cellular_automaton

    A second way to investigate the behavior of these automata is to examine its history starting with a random state. This behavior can be better understood in terms of Wolfram classes. Wolfram gives the following examples as typical rules of each class. [4] Class 1: Cellular automata which rapidly converge to a uniform state.

  5. Cellular automaton - Wikipedia

    en.wikipedia.org/wiki/Cellular_automaton

    Wolfram, in A New Kind of Science and several papers dating from the mid-1980s, defined four classes into which cellular automata and several other simple computational models can be divided depending on their behavior. While earlier studies in cellular automata tended to try to identify types of patterns for specific rules, Wolfram's ...

  6. Rule 110 - Wikipedia

    en.wikipedia.org/wiki/Rule_110

    The Rule 110 cellular automaton (often called simply Rule 110) [a] is an elementary cellular automaton with interesting behavior on the boundary between stability and chaos. . In this respect, it is similar to Conway's Game of Li

  7. A New Kind of Science - Wikipedia

    en.wikipedia.org/wiki/A_New_Kind_of_Science

    The basic subject of Wolfram's "new kind of science" is the study of simple abstract rules—essentially, elementary computer programs.In almost any class of a computational system, one very quickly finds instances of great complexity among its simplest cases (after a time series of multiple iterative loops, applying the same simple set of rules on itself, similar to a self-reinforcing cycle ...

  8. Pattern calculus - Wikipedia

    en.wikipedia.org/wiki/Pattern_calculus

    The second, or default case x -> 1 matches the pattern x against the argument and returns 1. This case is used only if the matching failed in the first case. The first, or special case matches against any compound, such as a non-empty list, or pair. Matching binds x to the left component and y to the right component. Then the body of the case ...

  9. Wolfram Language - Wikipedia

    en.wikipedia.org/wiki/Wolfram_Language

    The Wolfram Language (/ ˈ w ʊ l f r əm / WUUL-frəm) is a proprietary, [7] general-purpose, very high-level multi-paradigm programming language [8] developed by Wolfram Research. It emphasizes symbolic computation , functional programming , and rule-based programming [ 9 ] and can employ arbitrary structures and data. [ 9 ]

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