Abstract
The notion of sequence naturally arises from Cartesian order and plays a very important role in the study of natural systems. In this chapter the integer code series is used to propose a global description of sequences as the next step towards the definition of the structure. Namely, given in section 1 this global description of sequences produces in section 2 systems of integer relations. These systems of integer relations become the main ingredient in the definition of the structure.
Keywords
- Spectral Function
- Mathematical Structure
- Geometrical Interpretation
- Inductive Assumption
- Period Doubling
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 1999 Springer Science+Business Media Dordrecht
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Korotkich, V. (1999). Systems of Integer Relations and Structural Complexity. In: A Mathematical Structure for Emergent Computation. Nonconvex Optimization and Its Applications, vol 36. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5313-7_2
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DOI: https://doi.org/10.1007/978-1-4615-5313-7_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7424-4
Online ISBN: 978-1-4615-5313-7
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