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An Overview of some Statistics on selected Collatz Sequences

Autor
Johann Markus Schauerhuber

An Overview of some Statistics on selected Collatz Sequences

Beschreibung

The subsequent note provides an analysis of some aspects with respect to Collatz sequences originating from initial numbers up to 10,000. The intention is to illustrate some (statistical) relationships between lengths, maximum values, means, medians, variances (standard deviations), coefficients of variation (CV), skewnesses, kurtoses and the 90%-quantiles of selected Collatz sequences. Specifically this study mainly focusses only on visual and hence non-mathematical results. Respective correlation coefficients are provided as well. After a brief introduction of Collatz sequences 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.

Verlag
epubli
ISBN/EAN
978-3-8190-6753-2
Preis
35,00 EUR
Status
lieferbar