Repeated iteration of a Collatz-type function
This study provides detailed exposition of Collatz 3X + 1 problem which concerns the behavior of the iterates of the function which takes odd integer n to 3n+1/2 and even integer to n/2. The main result contained in the article by Daniel A. Rawsthorne entitled Imitation of an Iteration gives a proba...
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| Main Authors: | , |
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| Format: | text |
| Language: | English |
| Published: |
Animo Repository
1998
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| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/16506 |
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| Institution: | De La Salle University |
| Language: | English |
| Summary: | This study provides detailed exposition of Collatz 3X + 1 problem which concerns the behavior of the iterates of the function which takes odd integer n to 3n+1/2 and even integer to n/2. The main result contained in the article by Daniel A. Rawsthorne entitled Imitation of an Iteration gives a probabilistic approach to the question whether repeated iteration of a Collatz-type function always converges to 1. It is the proof of this main result that is discussed in this paper in great detailed. The researchers introduced some definitions with given examples which are necessary to understand the concept discussed in the article. The proof of the main result was expanded and presented in a comprehensible manner. |
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