On the 3X + 1 problem
Date of Publication
2001
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/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.
Abstract Format
html
Language
English
Format
Accession Number
TU10723
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
73 leaves
Recommended Citation
Cruz, C. R., & Zarasate, M. (2001). On the 3X + 1 problem. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/17161
