{"id":{"repo_id":"central-wash","oai_identifier":"oai:digitalcommons.cwu.edu:etd-2238"},"canonical_url":"https://search.dev.ndltd.org/etd/central-wash/oai:digitalcommons.cwu.edu:etd-2238","repository":{"repo_id":"central-wash","name":"Central Washington University","base_url":"https://digitalcommons.cwu.edu/do/oai/"},"display":{"title":"On the Theory of Quaternions","abstract":"Ordered triplets serve to describe space geometrically just as ordered pairs serve to describe the plane. A multiplication can be defined on pairs consistent with the complex numbers. However, as this paper will show, one cannot define a multiplication on triplets which is consistent with the complex numbers.","abstract_html":"Ordered triplets serve to describe space geometrically just as ordered pairs serve to describe the plane. A multiplication can be defined on pairs consistent with the complex numbers. However, as this paper will show, one cannot define a multiplication on triplets which is consistent with the complex numbers.","abstract_has_math":false,"creators":["Smith, Earle David"],"institution":null,"degree_name":"Master of Education (MEd)","degree_level":null,"degree_discipline":"Education","degree_department":null,"school":null,"contributors":["Dale R. Comstock","Bernard L. Martin","Roy F. Ruebel"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1969,"date_issued":"1969-08-01T07:00:00Z","date_published":"1969-08-01T07:00:00Z","updated_at":"2026-07-24T01:37:42Z","subjects":["Education","Mathematics","Quaternions"],"languages":["English"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://digitalcommons.cwu.edu/etd/1224","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Dale R. Comstock","Bernard L. Martin","Roy F. Ruebel"]},{"key":"dc:creator","label":"Author","values":["Smith, Earle David"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:type","label":"Dc Type","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Education"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Education (MEd)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Education","Mathematics","Quaternions"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://digitalcommons.cwu.edu/etd/1224"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Ordered triplets serve to describe space geometrically just as ordered pairs serve to describe the plane. A multiplication can be defined on pairs consistent with the complex numbers. However, as this paper will show, one cannot define a multiplication on triplets which is consistent with the complex numbers."]},{"key":"dc:title","label":"Title","values":["On the Theory of Quaternions"]}]}],"canonical_facts":{"dc:contributor":["Dale R. Comstock","Bernard L. Martin","Roy F. Ruebel"],"dc:creator":["Smith, Earle David"],"dc:description.abstract":["Ordered triplets serve to describe space geometrically just as ordered pairs serve to describe the plane. A multiplication can be defined on pairs consistent with the complex numbers. However, as this paper will show, one cannot define a multiplication on triplets which is consistent with the complex numbers."],"dc:identifier":["https://digitalcommons.cwu.edu/etd/1224"],"dc:language":["English"],"dc:subject":["Education","Mathematics","Quaternions"],"dc:title":["On the Theory of Quaternions"],"dc:type":["Text"],"thesis:degree_discipline":["Education"],"thesis:degree_name":["Master of Education (MEd)"]},"updated_at":"2026-07-24T01:37:42Z"}