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: Cruz, Christopher Thomas R., Zarasate, Maria Agnes
Format: text
Language:English
Published: Animo Repository 2001
Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/17161
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Institution: De La Salle University
Language: English
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spelling oai:animorepository.dlsu.edu.ph:etd_bachelors-176742022-01-25T07:19:13Z On the 3X + 1 problem Cruz, Christopher Thomas R. Zarasate, Maria Agnes 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. 2001-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/17161 Bachelor's Theses English Animo Repository
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
language English
description 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.
format text
author Cruz, Christopher Thomas R.
Zarasate, Maria Agnes
spellingShingle Cruz, Christopher Thomas R.
Zarasate, Maria Agnes
On the 3X + 1 problem
author_facet Cruz, Christopher Thomas R.
Zarasate, Maria Agnes
author_sort Cruz, Christopher Thomas R.
title On the 3X + 1 problem
title_short On the 3X + 1 problem
title_full On the 3X + 1 problem
title_fullStr On the 3X + 1 problem
title_full_unstemmed On the 3X + 1 problem
title_sort on the 3x + 1 problem
publisher Animo Repository
publishDate 2001
url https://animorepository.dlsu.edu.ph/etd_bachelors/17161
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