{"doi":"10.2478/dema-2014-0013","title":"The Explicit Determinations Of Dual Plane Curves And Dual Helices In Terms Of Its Dual Curvature And Dual Torsion","abstract":"<jats:title>Abstract</jats:title><jats:p>In this paper, we give the explicit determinations of dual plane curves, general dual helices and dual slant helices in terms of its dual curvature and dual torsion as a fundamental theory of dual curves in a dual 3-space</jats:p>","journal":"Demonstratio Mathematica","year":2014,"id":682463,"datarank":0.10397207708399181,"base_score":0.6931471805599453,"endowment":0.6931471805599453,"self_citation_contribution":0.10397207708399181,"citation_network_contribution":0.0,"self_endowment_contribution":0.10397207708399181,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":1,"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":819118,"name":"Jin Ho Choi","orcid":"0000-0001-5759-8419","position":1,"is_corresponding":false},{"id":1782957,"name":"Dae Ho Jin","orcid":null,"position":2,"is_corresponding":false},{"id":596118,"name":"Jae Won Lee","orcid":"0000-0002-5783-7878","position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"resolved":true,"title":"The Explicit Determinations Of Dual Plane Curves And Dual Helices In Terms Of Its Dual Curvature And Dual Torsion","abstract":"<jats:title>Abstract</jats:title><jats:p>In this paper, we give the explicit determinations of dual plane curves, general dual helices and dual slant helices in terms of its dual curvature and dual torsion as a fundamental theory of dual curves in a dual 3-space</jats:p>","is_dataset_classified":null,"base_score":0.6931471805599453,"endowment":0.6931471805599453,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"21097893","pmcid":null,"openalex_id":"https://openalex.org/W2057144288","authors":[],"funders":[],"total_grants":0,"fwci":0.0,"citation_percentile":0.10955161,"influential_citations":0,"citation_trend":[{"year":2022,"count":1}],"oa_status":"gold","license":"cc-by","oa_locations":[{"url":"https://www.degruyter.com/document/doi/10.2478/dema-2014-0013/pdf","host_type":"journal"},{"url":"https://www.degruyter.com/document/doi/10.2478/dema-2014-0013/pdf","host_type":"publisher"},{"url":"http://www.degruyter.com/view/j/dema.2014.47.issue-1/dema-2014-0013/dema-2014-0013.xml","host_type":"publisher"},{"url":"https://doi.org/10.2478/dema-2014-0013","host_type":"journal"},{"url":"https://doaj.org/article/9e0bad1fd13e48859f1e6cb69cd078b9","host_type":"repository"}],"fields_of_study":["Advanced Numerical Analysis Techniques","Mathematics and Applications","Geometric Analysis and Curvature Flows"],"mesh_terms":[],"keywords":["Dual (grammatical number)","Mathematics","Torsion (gastropod)","Curvature","Plane curve","Dual graph","Dual space","Mathematical analysis","Plane (geometry)","Geometry","Pure mathematics","Combinatorics","Planar graph","Graph"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-08-17T20:28:44.579942Z","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":[]}