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Title: Collatz paths
Type of Resource: Animação/simulação
Objective: Show collatz paths
Abstract: The Collatz conjecture states that for every positive integer n, repeating the simple algorithm n={(n/2) if n is even or (3n+1) is n is odd} always eventually reaches the number 1. The conjecture remains unproven since 1937 when it was first proposed by Lothar Collatz. This Demonstration shows the eventual merging of paths to 1, for all positive integers up to a given maximum. Because the algorithm has two cases, the graph is always a binary tree
Observation: This demonstration needs the "MathematicaPlayer.exe" to run. Found in http://objetoseducacionais2.mec.gov.br/handle/mec/4737
Curriculum Component: Educação Superior::Ciências Exatas e da Terra::Matemática
Theme: Educação Superior::Ciências Exatas e da Terra::Matemática::Análise Complexa
Author: Nochella, Jesse
Language: English (en)
Country: United States (us)
Description: Knowledge about algorithms, number theory and simple computational systems
Web Address: http://demonstrations.wolfram.com/CollatzPaths/
Date: 2008
Rightsholder: The Wolfram Demonstrations Project & Contributors
License: Demonstration freeware using Mathematica Player
Submitter: Universidade Federal de São Carlos (UFSCAR)
URI: http://objetoseducacionais2.mec.gov.br/handle/mec/5942
This Educational Object appears in the following Types of resources: Educação Superior: Ciências Exatas e da Terra: Matemática: Animações/Simulações