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Collatz Problem:     more detail

Numerical Treatment of Eigenvalue Problems: Workshop in Oberwafach, February 25-March 3, 1990/Numerische Behandlung Von Eigenwertaufgaben: Tagung by W. Velte, Lothar Collatz, et all May, 1991 Optimization Problems (Applied Mathematical Sciences Ser. ; Vol. 17)) by Lothar Collatz, July, 1975 Numerical Treatment of Eigenvalue Problems (International Series Numerical Mathematics, Vol. 83) by Lothar Collatz, September, 1987 Differential-Difference Equations: Applications and Numerical Problems by L. Collatz, May, 1983

1. Collatz Problem -- From MathWorld
   From Eric Weissten's World of Mathematics. Article with references and links.Category Science Math Number Theory Open Problems collatz problemcollatz problem, conjecture. Let be an integer. Then the collatz problemasks if iterating, (1). always returns to 1 for positive .  
   http://mathworld.wolfram.com/CollatzProblem.html

2. Collatz Problem Image
   By Andrew Shapira. The intensity of a point denotes the time taken to terminate.Category Science Math Number Theory Open Problems collatz problemAn Image From the collatz problem. By Andrew Shapira. February 15, 1998.(Minor We can do the same thing for the collatz problem. Given  
   http://www.onezero.org/collatz.html

3. Ken Conrow Home Page
   The collatz problem (3x+1) I was introduced to the collatz problem back in 1990 by Dr. Ashok T. Amin here in the Computer Science Department at the University of Alabama in Huntsville.  
   http://www-personal.ksu.edu/~kconrow

4. The 3x+1 Problem And Its Generalizations
   The 3x+1 problem, also known as the collatz problem, the Syracuse problem, Kakutani's problem, Hasse's algorithm, and  
   http://www.cecm.sfu.ca/organics/papers/lagarias

5. The Collatz Problem, Data And Models
   The collatz problem, related functions, data and models  
   http://site.voila.fr/Collatz_Problem

6. On The 3x + 1 ProblemEric Roosendaal Presents This Eight Part Document On The 3x
   Jeffrey C. Lagarias writes this document on the 3x+1 problem also known as collatz problem and the Syracuse problem. Read an introduction and generalizations. Introduction. The 3x+1 problem. A heuristic argument. Do divergent trajectories exist? Connections of the problem to ergodic theory.  
   http://personal.computrain.nl/eric/wondrous

7. Z-Number -- From MathWorld
   any Znumbers exist. The Z-numbers arise in the analysis of the Collatzproblem. collatz problem. References. Flatto, L. Z-Numbers  
   http://mathworld.wolfram.com/Z-Number.html

8. AlDamen
   Chemistry student at Jerash University with interests in number theory and the collatz problem.  
   http://www.angelfire.com/de2/abbas

9. Andrew Shapira's Home Page
   Andrew Shapira. Articles and Software. An Image from the collatz problem (the ``3x+1Problem''). An Introduction to Thanking after Ridiculously Fast Chess Games.  
   http://www.onezero.org/

10. International Conference On The Collatz Problem
    Katholische Universität Eichstätt, Germany; 56 August 1999. On-line proceedings and group photo.Category Science Math Number Theory Open Problems collatz problemInternational Conference on the collatz problem and Related TopicsAugust 56, 1999 Katholische Universität Eichstätt, GERMANY.  
    http://www.math.grin.edu/~chamberl/conf.html

11. Superset Homepage
    The limited halting problem finding machines that solve the halting problem for limited classes of inputs without reporting erroneous results. The collatz problem is a special case. Software, papers and graphics.  
    http://www8.pair.com/mnajtiv/halt/halt.html

12. Proceedings Of 3x+1 Conference
    Proceedings of the International Conference on the collatz problemand Related Topics. Some of the participants of the conference  
    http://www.math.grin.edu/~chamberl/conference/proceedings.html

13. Collatz Problem
    exist a. collatz problem. Take any natural number m 0. n=m; repeatif (n is odd) then n=3*n+1; else n=n/2; until (n1). The conjecture  
    http://db.uwaterloo.ca/~alopez-o/math-faq/node61.html

14. Famous Problems In Mathematics
    that is perfect and odd? collatz problem; Goldbach's conjecture; Twinprimes conjecture. Alex LopezOrtiz Mon Feb 23 162648 EST 1998.  
    http://db.uwaterloo.ca/~alopez-o/math-faq/node55.html

15. The Collatz Problem (3x+1)
    The collatz problem (3x+1). I was introduced to the collatz problemback in 1990 by Dr. Ashok T. Amin here in the Computer Science  
    http://home.hiwaay.net/~criswell/math/collatz.html

16. The 3x + 1 Problem And Its Generalizations
    A survey article by Jeff Lagarias.Category Science Math Number Theory Open Problems collatz problem  
    http://www.cecm.sfu.ca/organics/papers/lagarias/paper/html/paper.html

17. Editing And Debugging M-Files (Development Environment)
    Debugging ExampleThe collatz problem. The collatz problem is to prove thatthe Collatz function will resolve to 1 for all positive integers.  
    http://www.mathworks.com/access/helpdesk/help/techdoc/matlab_env/edit_d21.shtml

18. Editing And Debugging M-Files (Development Environment)
    functions using an example. Closing MFiles, Debugging ExampleThecollatz problem, The MathWorks, Inc. Trademarks Privacy Policy.  
    http://www.mathworks.com/access/helpdesk/help/techdoc/matlab_env/edit_d20.shtml

19. The Complexity Of The Collatz Problem
    The Complexity of the collatz problem The collatz problem is a verysimple, wellknown and unresolved problem of number theory.  
    http://www.geocities.com/CapeCanaveral/Lab/4430/collatz.html

20. A Heuristic Argument For The Collatz Problem
    A Heuristic Argument for the collatz problem. By. Joseph L. Pe. iDEN SystemEngineering Tools and Statistics. Motorola. 21440 West Lake Cook Road.  
    http://www.geocities.com/SoHo/Exhibit/8033/collatz/collatz.htm

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