{"doi":"10.11121/ijocta.01.2021.00855","title":"Obtaining Triplet from Quaternions","abstract":"<jats:p>In this study, we obtain triplets from quaternions. First, we obtain triplets from real quaternions. Then, as an application of this, we obtain dual triplets from the dual quaternions. Quaternions, in many areas, it allows ease in calculations and geometric representation. Quaternions are four dimensions. The triplets are in three dimensions. When we express quaternions with triplets, our work is made even easier. Quaternions are very important in the display of rotational movements. Dual quaternions are important in the expression of screw movements. Reducing movements from four dimensions to three dimensions makes our work easier. This simplicity is achieved by obtaining triplets from quaternions. </jats:p>","journal":"An International Journal of Optimization and Control: Theories &amp; Applications (IJOCTA)","year":2021,"id":661829,"datarank":0.0,"base_score":0.0,"endowment":0.0,"self_citation_contribution":0.0,"citation_network_contribution":0.0,"self_endowment_contribution":0.0,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":0,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":1727785,"name":"Yusuf Yaylı","orcid":"0000-0003-4398-3855","position":1,"is_corresponding":false},{"id":1727784,"name":"Ali Atasoy","orcid":"0000-0002-1894-7695","position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"resolved":true,"title":"Obtaining Triplet from Quaternions","abstract":"<jats:p>In this study, we obtain triplets from quaternions. First, we obtain triplets from real quaternions. Then, as an application of this, we obtain dual triplets from the dual quaternions. Quaternions, in many areas, it allows ease in calculations and geometric representation. Quaternions are four dimensions. The triplets are in three dimensions. When we express quaternions with triplets, our work is made even easier. Quaternions are very important in the display of rotational movements. Dual quaternions are important in the expression of screw movements. Reducing movements from four dimensions to three dimensions makes our work easier. This simplicity is achieved by obtaining triplets from quaternions. </jats:p>","is_dataset_classified":null,"base_score":0.0,"endowment":0.0,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"19162232","pmcid":null,"openalex_id":"https://openalex.org/W3127350447","authors":[],"funders":[],"total_grants":0,"fwci":0.0,"citation_percentile":0.01324468,"influential_citations":0,"citation_trend":[],"oa_status":"gold","license":"cc-by","oa_locations":[{"url":"http://ijocta.org/index.php/files/article/download/855/348","host_type":"journal"},{"url":"http://ijocta.org/index.php/files/article/download/855/348","host_type":"publisher"},{"url":"https://doi.org/10.11121/ijocta.01.2021.00855","host_type":"journal"},{"url":"https://doaj.org/article/6193cb07c8c0423894e34e7954a4451c","host_type":"repository"}],"fields_of_study":["Robotic Mechanisms and Dynamics","Interactive and Immersive Displays","Human Motion and Animation"],"mesh_terms":[],"keywords":["Quaternion","Dual quaternion","Representation (politics)","Expression (computer science)","Dual (grammatical number)","Mathematics","Algebra over a field","Computer science","Pure mathematics","Geometry","Linguistics"],"sdg_mappings":[{"sdg_number":0,"sdg_label":"Sustainable cities and communities"}],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-08-12T11:42:59.912158Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}