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Substitution System -- from Wolfram MathWorld

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld Substitution System

A map which uses a set of rules to transform elements of a sequence into a new sequence using a set of rules which "translate" from the original sequence to its transformation. For example, the substitution system would take .

See alsoGolden Ratio

,

Multiway System

,

Sequential Substitution System

,

String Rewriting System

,

Tag System

,

Thue Constant

,

Thue-Morse Sequence Explore with Wolfram|Alpha ReferencesWolfram, S. A New Kind of Science. Champaign, IL: Wolfram Media, pp. 82-92, 2002. Referenced on Wolfram|AlphaSubstitution System Cite this as:

Weisstein, Eric W. "Substitution System." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SubstitutionSystem.html

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