A Note on Cycles resulting from Doubling
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Beschreibung
The subsequent note provides an analysis of some cycling behaviour with respect to a very simple doubling rule in combination with subtraction.
The subsequent note provides an analysis of some cycling behaviour with respect to a very simple doubling rule in combination with subtraction.
Specifically this study constitutes a continuation of the investigation of Schauerhuber (2025), where the number of steps required to arrive at cycles for a wide spectrum of initial input values was the main focus of interest.
The present analysis in contrast will focus on the cycles themselves.
After a brief introduction of the underlying doubling algorithm and the method applied for this note, the results of the study will be addressed.
Finally the generated R code - for the purpose of this investigation - will be presented.
Autor*in
Johann Markus Schauerhuber
During his studies and academic resp. professional activities Prof. Dr. Dr. Johann Markus Schauerhuber has been intensively involved in statistical programming, stochastic, risk theory, simulation and mathematical modeling.
Most of his professional experience has been gained in the university domain as an academic director, postdoc lecturer / researcher and in government authorities.
Email: jm_schauerhuber@gmx.at