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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/unesp/360892
Title: 
Preferred values of collatz paths
Author(s): 
Zeleny, Enrique
Language: 
eng
Description: 
  • Number Theory
  • Consider the function f(n)=n/2 if n is even or f(n)=3n+1 if n is odd The Collatz problem consists in repeatedly evaluating the function for every positive integer n; it always seems to end in 1, but this may not always be true. This shows a plot of paths for the Collatz problem; each path is plotted along the y axis. Notice that the plot reveals a pattern of diagonal lines that pass though the origin and horizontal lines that show that certain values are much more likely than others. The reason for these diffuse patterns made by preferred values is unclear
  • Componente Curricular::Ensino Médio::Matemática
Issue Date: 
  • 2008
  • 15-Sep-2008
  • 15-Sep-2008
  • 15-Sep-2008
  • 13-Sep-2008
Keywords: 
  • Number Theory
  • Computational Universe
  • Unsolved Problems
  • Educação Básica::Ensino Médio::Matemática::Álgebra
Notes: 
Show preferred values of collatz paths
Credits: 
This demonstration needs the "MathematicaPlayer.exe" to run. Found in http://objetoseducacionais2.mec.gov.br/handle/mec/4737
Source: 
http://objetoseducacionais2.mec.gov.br/handle/mec/5353
URI: 
http://acervodigital.unesp.br/handle/unesp/360892
Rights: 
Demonstration freeware using Mathematica Player
Type: 
outro
Appears in Collections:MEC - Objetos Educacionais (BIOE) - OE

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