81. Open Problems: Collatz Conjecture « The Math Less Traveled May 8, 2007 Although in contrast to the Collatz problem, it s not too hard to prove that the countingletters thing always reaches four from any http://www.mathlesstraveled.com/?p=66

82. Notes On Lookup – A Sieve For The Collatz Problem « Learning And Unlearning M Feb 22, 2009 I ve been playing with different ways to use a sieve to approach the Collatz Problem, and wanted to share it with you. The Collatz Problem http://unlearningmath.com/2009/02/22/notes-on-lookup-a-sieve-for-the-collatz-pro

83. Collatz Biography Many will know the name of Collatz today because of the Collatz problem . In many ways it might seem a pity that a mathematician who has produced so much http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Collatz.html

Lothar Collatz Born: 6 July 1910 in Arnsberg, Westphalia, Germany Died: 26 Sept 1990 in Varna, Bulgaria Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Main Index Previous (Alphabetically) Next Biographies index Version for printing Lothar Collatz (The finite difference method with higher approximation for linear differential equations). In [ He often told how much he had been impressed by the lectures of Hilbert Courant von Mises Schur , and other famous mathematicians of that period. He was convinced that mathematics and mathematicians had a responsibility to apply their results to, and be motivated by, real world phenomena. he never wearied of fighting for this conviction. Many will know the name of Collatz today because of the "Collatz problem". In many ways it might seem a pity that a mathematician who has produced so much important and fundamental work should be most remembered for a novelty, yet this problem has intrigued mathematician ever since he proposed it in 1937. The Collatz problem is simple to state. Define a function f on the positive integers by f n n +1 if n is odd;

84. CPP Math And Fun - CodeProject Aug 3, 2004 Here we are trying to implement one very easy, but interesting problem, Collatz problem by using different programming techniques. http://www.codeproject.com/KB/recipes/CPPMathFun.aspx

7,432,884 members and growing! (13,868 online) Email Password Remember me? Lost password? Home Articles Chapters and Sections ... Ask a Question about this article Quick Answers Ask a Question View Unanswered Questions View All Questions... C# questions ... C#3.0 questions Programming Discussions All Message Boards... Application Lifecycle Design and Architecture Running a Business ... Site Bugs / Suggestions Other Languages General Indian Topics General Chinese Topics Learning Zones The Commerce Zone ... FAQ and Pricing Features Who's Who CodeProject MVPs Company Listings Competitions ... The Soapbox Search within: Articles Quick Answers Messages Jobs Product Catalog , 18 votes Print Article Add to your CodeProject bookmarks Discuss this article Report this article as inappropriate Article Browse Code Stats Revisions First Posted 3 Aug 2004 Views Bookmarked 37 times Licence CPOL C++ Windows Visual-Studio ... Math CPP Math and Fun By Zeeshan Amjad Fun with Maths Introduction Some people think Math is boring stuff, and you have to have something extra in your brain to understand it. In fact not all branches of mathematics are boring and very tough for a person, who does not have math background. Number theory is one such branch of math that may be very attractive to normal persons without learning lots of stuff. The whole study of number theory is the proof of different problems beautifully, and solves more complex problems on the basis of existing proofs. It is interesting to note that if any conjecture or assumption is not proved in number theory then it still may have applications in real life. For example the well known cryptography algorithm RSA is based on this assumption that it is not easy to find the prime factor of a very large number if it is a multiple of two or more huge primes.

85. Collatz Problem - From Eric Weissten's World Of Mathematics. Science, Math, Number Theory, Open Problems Collatz Problem. From Eric Weissten s World of Mathematics. http://www.abc-directory.com/site/491551

86. CIT 591 Collatz's Problem This is called Collatz s problem, or sometimes Ulam s problem or Scott s problem (the origin isn t entirely clear). It is known that, for the first few http://www.cis.upenn.edu/~matuszek/cit591-2005/Assignments/2-collatzs-problem.ht

CIT 591 Assignment 2: Collatz's Problem Fall 2005, David Matuszek Purposes of this assignment To get you started programming in Java To familiarize you with: Pair programming Variable declarations Simple output if statements, while loops, and assignment statements This is a lot to learn for a first assignment. Overview Consider the following algorithm, defined for positive integers: Choose a number. As long as the number is not 1, do the following: If the number is even, cut it in half. If the number is odd, multiply it by 3 and add 1. Example: If you start with the number 17, you get the following sequence: 17 this is odd, so multiply by 3 and add 1, getting 52 52 this is even, so divide by 2, getting 26 26 this is even, so divide by 2, getting 13 13 this is odd, so multiply by 3 and add 1 40 this is even, so divide by 2, getting 20 20 this is even, so divide by 2, getting 10 10 this is even, so divide by 2, getting 5 5 this is odd, so multiply by 3 and add 1, getting 16 16 this is even, so divide by 2, getting 8 8 this is even, so divide by 2, getting 4

87. Math 696 The 3x+1 Problem Apr 5, 2005 There is a famous unsolved problemoften called the 3x+1 problemabout the iterates of the Collatz function. Is it the case that for every http://www.math.tamu.edu/~boas/courses/math696/Maple-3x 1.html

88. Bill The Lizard: Unsolved: Collatz Conjecture Nov 21, 2009 There s a decent (but I can t bring myself to say simple) explanation of the ConwayCollatz problem starting on page 119 of IterationPFD http://www.billthelizard.com/2009/11/unsolved-collatz-conjecture.html

skip to main skip to sidebar Bill the Lizard "The time has come," the Walrus said, "To talk of many things..." Saturday, November 21, 2009 Unsolved: Collatz conjecture First proposed in 1937 by the German mathematician Lothar Collatz , the Collatz conjecture is also known as the 3n + 1 problem Kakutani's problem , the Syracuse problem Thwaites' conjecture , and Ulam's conjecture . The conjecture starts with the following simple procedure: Let n be any integer. If n is odd, triple it and add 1 (n = 3n + 1). If n is even divide it in half (n = n/2). Stop if n = 1, otherwise go back to step 2. The Collatz conjecture asks: Does the above process always terminate (end with n = 1) for any starting value of n? For example, starting with a value of n = 42, we get the following sequence The sequences produced by the Collatz procedure are known as hailstone sequences . In 1972, John Conway proved that it is possible for problems of this type to be undecidable , so it is not known if a solution is even possible. Posted by Bill the Lizard on Labels: math unsolved 2 comments: Troy said...

89. Collatz Conjecture | Facebook However, as this proof depends upon the generalization, it cannot be applied to the original Collatz problem. /p (read less) http://www.facebook.com/pages/Collatz-conjecture/110527052302956?v=info

90. The Collatz Problem File Format Microsoft Powerpoint View as HTML http://www.cis.uab.edu/cs497/spring2007/23jan2007.ppt

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