The 3x +1 (or Collatz) sequences and their properties ... SUMMARY: The so-called 3x +1 problem is to prove that all 3x +1 sequences eventually converge. ...

Despite this doleful pronouncement, study of the 3x +1 problem has not been without reward. ... A Continuous Extension of the 3x +1 Problem to the Real Line , Dynamics of ...

The 3x +1 problem is one I find interesting as it is based on some ... The 3x +1 equation appears to connect all the positive integers into a tree rooted on the ...

The 3x +1 Problem is perhaps today's most enigmatic unsolved mathematical ... The problem is also referred to as the 3n + 1 problem and is associated with ...

This is equivalent to the (3n1 ) problem on positive integers. ... The 3x + 1 problem and its generalizations, American Mathematical Monthly Volume ...

The Collatz Conjecture, also known as the 3x +1 problem , is simple by definition, but upon further research it becomes a very complex theory. ...

Katholische Universität Eichstätt, Germany; 5--6 August 1999. ... intended for anyone interested in the 3x +1 problem ( also known as the Syracuse algorithm, ...

Find 3x +1 class records in the 3x +1 Problem project. This project ... This theoretical computer science problem has been in existence since 1946. ...

One of the most tantalizing conjectures in number theory is the so?called 3x + 1 ... For an account of other work on the 3x + 1 problem , we refer the reader to ...

The Solution of the Open Problem 3X +1 . Author: Li Kexiong. A. Let's see ... The final result of 3X +1 proceeding will not be influenced by the proceeding. order ...