On the 3X + 1 problem
This thesis is a contribution to the continuously expanding field of knowledge on the 3X + 1 problem. The 3x + 1 problem involves the behavior of a function, known in the literature of Mathematics as the Collatz function, attributed to its original author, Lothar Collatz. By continually applying the...
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| Main Authors: | , |
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| Format: | text |
| Language: | English |
| Published: |
Animo Repository
2001
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| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/17161 |
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| Institution: | De La Salle University |
| Language: | English |
| Summary: | This thesis is a contribution to the continuously expanding field of knowledge on the 3X + 1 problem. The 3x + 1 problem involves the behavior of a function, known in the literature of Mathematics as the Collatz function, attributed to its original author, Lothar Collatz. By continually applying the function to its output, iterates are produced thus forming a sequence of positive integers called the Collatz sequence. The 3x + 1 problem states that for any initial positive integer, the number 1 is always included in the Collatz sequence.
The researchers intended this thesis to be an exposition of the primary findings of The 3x + 1 Problem by Eric Roosendaal and 3n + 1 Problem by Jeffrey Lagarias. Moreover, the writers of this thesis found patterns that occur in the concepts defined by the said researchers. |
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