{"id":{"repo_id":"gsu","oai_identifier":"oai:digitalcommons.georgiasouthern.edu:etd-1012"},"canonical_url":"https://search.dev.ndltd.org/etd/gsu/oai:digitalcommons.georgiasouthern.edu:etd-1012","repository":{"repo_id":"gsu","name":"Georgia Southern University","base_url":"https://digitalcommons.georgiasouthern.edu/do/oai/"},"display":{"title":"Integer Compositions, Gray Code, and the Fibonacci Sequence","abstract":"<p>In this thesis I show the relation of binary and Gray Code to integer compositions and the Fibonacci sequence through the use of analytic combinatorics, Zeckendorf's Theorem, and generating functions.</p>","abstract_html":"&lt;p&gt;In this thesis I show the relation of binary and Gray Code to integer compositions and the Fibonacci sequence through the use of analytic combinatorics, Zeckendorf&#x27;s Theorem, and generating functions.&lt;/p&gt;","abstract_has_math":false,"creators":["Lindroos, Linus"],"institution":null,"degree_name":"Master of Science in Mathematics (M.S.)","degree_level":"Thesis (open access)","degree_discipline":"Department of Mathematical Sciences","degree_department":null,"school":null,"contributors":["David Stone","Hua Wang"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-10-01T07:00:00Z","date_published":"2012-10-01T07:00:00Z","updated_at":"2026-07-24T02:26:17Z","subjects":["ETD","Number Theory","Integer Compositions","Gray Code","Mathematics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://digitalcommons.georgiasouthern.edu/etd/13","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["David Stone","Hua Wang"]},{"key":"dc:creator","label":"Author","values":["Lindroos, Linus"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2013-07-18T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Department of Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis (open access)"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science in Mathematics (M.S.)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["ETD","Number Theory","Integer Compositions","Gray Code","Mathematics"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://digitalcommons.georgiasouthern.edu/etd/13"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["<p>In this thesis I show the relation of binary and Gray Code to integer compositions and the Fibonacci sequence through the use of analytic combinatorics, Zeckendorf's Theorem, and generating functions.</p>"]},{"key":"dc:title","label":"Title","values":["Integer Compositions, Gray Code, and the Fibonacci Sequence"]}]}],"canonical_facts":{"dc:contributor":["David Stone","Hua Wang"],"dc:creator":["Lindroos, Linus"],"dc:date.available":["2013-07-18T07:00:00Z"],"dc:description.abstract":["<p>In this thesis I show the relation of binary and Gray Code to integer compositions and the Fibonacci sequence through the use of analytic combinatorics, Zeckendorf's Theorem, and generating functions.</p>"],"dc:identifier":["https://digitalcommons.georgiasouthern.edu/etd/13"],"dc:subject":["ETD","Number Theory","Integer Compositions","Gray Code","Mathematics"],"dc:title":["Integer Compositions, Gray Code, and the Fibonacci Sequence"],"thesis:degree_discipline":["Department of Mathematical Sciences"],"thesis:degree_level":["Thesis (open access)"],"thesis:degree_name":["Master of Science in Mathematics (M.S.)"]},"updated_at":"2026-07-24T02:26:17Z"}