Abstract
Recursion is a technique to define concepts that depend on natural numbers. First, such a concept is defined for n = 0. Then, the concept for n is supposed to be defined, and we use the concept for n to define the concept for n+1. Therefore, it is defined for all natural numbers n. This is the idea of recursion, namely the definition by induction. We will prove that this mathematical process is possible. We then apply recursion to create musical compositions.
Original language | English (US) |
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Title of host publication | Computational Music Science |
Publisher | Springer Nature |
Pages | 77-81 |
Number of pages | 5 |
DOIs | |
State | Published - 2016 |
Publication series
Name | Computational Music Science |
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ISSN (Print) | 1868-0305 |
ISSN (Electronic) | 1868-0313 |
Bibliographical note
Publisher Copyright:© 2016, Springer International Publishing Switzerland.
Keywords
- Fibonacci Number
- Golden Ratio
- Natural Number
- Recursive Function
- Recursive Method