The 3x + 1 mapping is a special case of a more general class of mappings ... For an account of other work on the 3x + 1 problem , we refer the reader ...

The 3x +1 Problem . http://www.ohiorc.org/orc_documents/orc/RichProblems/Discovery ... This mathematically rich problem was originally developed for the Project Discovery ...

Although mathematicians conjecture that every starting value ultimately ends up at 1 , there is no proof of this claim (see The 3x + 1 Problem and Its Generalizations) ...

1 . Introduction. The 3x . 1 problem concerns the iteration of the function T : Z. Z. de?ned by ... [1 ] D. Applegate and J. C. Lagarias, Density Bounds for the 3x ...

Looking for Class Records in the 3x +1 problem by means of the Cometa grid ... official statement of the Problem : let f : N+ N+ be defined by the following rules: ...

3x | A search engine that allows you to rank listings any way you choose for the keyword 3x . Also list's videos related to 3x .

A more formal and more complete proof can be found in this excellent standard overview of the 3x +1 problem by Jeffrey Lagarias. Back to the general 3x +1 page. ...

Applied number theory, recurring sequences, the 3x +1 problem . ... The 3x +1 problem was an exception for which the theory collapsed. In that same period Ray Steiner was able to ...

The Collatz problem , widely known as the 3x + 1 problem , asks. whether or not a certain ... generalization of the Collatz problem is recursively undecidable. ...

The problem dates from before World War II, when it seems to have been proposed ... look at the operation X 3X + 1 , we may neglect the addition of one, ...