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 
.
Substitution System
See also
Golden Ratio, Multiway System, Sequential Substitution System, String Rewriting System, Tag System, Thue Constant, Thue-Morse SequenceExplore with Wolfram|Alpha
References
Wolfram, S. A New Kind of Science. Champaign, IL: Wolfram Media, pp. 82-92, 2002.Referenced on Wolfram|Alpha
Substitution SystemCite this as:
Weisstein, Eric W. "Substitution System." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SubstitutionSystem.html