Title

Nessie Notation: A New Tool in Sequential Substitution Systems and Graph Theory for Summarizing Concatenations

Authors

Colton DavisFollow

Mentor

Caviness, Kenneth

Document Type

Article

Publication Date

Winter 5-2022

Abstract

While doing research looking for ways to categorize causal networks generated by Sequential Substitution Systems, I created a new notation to compactly summarize concatenations of integers or strings of integers, including infinite sequences of these, in the same way that sums, products, and unions of sets can be summarized. Using my method, any sequence of integers or strings of integers with a closed-form iterative pattern can be compactly summarized in just one line of mathematical notation, including graphs generated by Sequential Substitution Systems, many Primitive Pythagorean Triplets, and various Lucas sequences including the Fibonacci sequence and the sequence of square triangular numbers.

Recommended Citation

Davis, Colton, "Nessie Notation: A New Tool in Sequential Substitution Systems and Graph Theory for Summarizing Concatenations" (2022). Student Research. 1.
https://knowledge.e.southern.edu/physics_studentresearch/1