{"id":"https://openalex.org/W1485206903","doi":"https://doi.org/10.1007/978-1-84996-108-0_1","title":"New Tools for Computational Geometry and\u00a0Rejuvenation of Screw Theory","display_name":"New Tools for Computational Geometry and\u00a0Rejuvenation of Screw Theory","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1485206903","doi":"https://doi.org/10.1007/978-1-84996-108-0_1","mag":"1485206903"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-84996-108-0_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-84996-108-0_1","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geometric Algebra Computing","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050440211","display_name":"David Hestenes","orcid":"https://orcid.org/0000-0001-6126-7655"},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"David Hestenes","raw_affiliation_strings":["Arizona State University, Tempe, AZ, 85287, USA"],"affiliations":[{"raw_affiliation_string":"Arizona State University, Tempe, AZ, 85287, USA","institution_ids":["https://openalex.org/I55732556"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050440211"],"corresponding_institution_ids":["https://openalex.org/I55732556"],"apc_list":null,"apc_paid":null,"fwci":13.9113,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.98875689,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"3","last_page":"33"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9679999947547913,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conformal-geometric-algebra","display_name":"Conformal geometric algebra","score":0.6284581422805786},{"id":"https://openalex.org/keywords/covariant-transformation","display_name":"Covariant transformation","score":0.5693439245223999},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5587904453277588},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.5380555987358093},{"id":"https://openalex.org/keywords/projective-geometry","display_name":"Projective geometry","score":0.5348025560379028},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5130428075790405},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.48670652508735657},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.4529513120651245},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4526675343513489},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43178024888038635},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4306837022304535},{"id":"https://openalex.org/keywords/geometric-algebra","display_name":"Geometric algebra","score":0.36792808771133423},{"id":"https://openalex.org/keywords/algebraic-geometry","display_name":"Algebraic geometry","score":0.3602835237979889},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34343570470809937},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.309806227684021},{"id":"https://openalex.org/keywords/clifford-algebra","display_name":"Clifford algebra","score":0.21722137928009033},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1297730803489685}],"concepts":[{"id":"https://openalex.org/C147898140","wikidata":"https://www.wikidata.org/wiki/Q5160252","display_name":"Conformal geometric algebra","level":5,"score":0.6284581422805786},{"id":"https://openalex.org/C9136319","wikidata":"https://www.wikidata.org/wiki/Q362640","display_name":"Covariant transformation","level":2,"score":0.5693439245223999},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5587904453277588},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.5380555987358093},{"id":"https://openalex.org/C185362025","wikidata":"https://www.wikidata.org/wiki/Q177409","display_name":"Projective geometry","level":3,"score":0.5348025560379028},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5130428075790405},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.48670652508735657},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.4529513120651245},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4526675343513489},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43178024888038635},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4306837022304535},{"id":"https://openalex.org/C180671464","wikidata":"https://www.wikidata.org/wiki/Q1186649","display_name":"Geometric algebra","level":4,"score":0.36792808771133423},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.3602835237979889},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34343570470809937},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.309806227684021},{"id":"https://openalex.org/C100856211","wikidata":"https://www.wikidata.org/wiki/Q674689","display_name":"Clifford algebra","level":3,"score":0.21722137928009033},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1297730803489685},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-84996-108-0_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-84996-108-0_1","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geometric Algebra Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W47271058","https://openalex.org/W122875470","https://openalex.org/W587849059","https://openalex.org/W634394376","https://openalex.org/W1485633210","https://openalex.org/W1522151040","https://openalex.org/W1560270123","https://openalex.org/W1563672770","https://openalex.org/W1566463023","https://openalex.org/W1568842956","https://openalex.org/W1595823061","https://openalex.org/W1719494151","https://openalex.org/W1804789830","https://openalex.org/W1967506722","https://openalex.org/W2022718409","https://openalex.org/W2072015843","https://openalex.org/W2104980312","https://openalex.org/W2117463337","https://openalex.org/W2129784846","https://openalex.org/W2231792247","https://openalex.org/W2496529052","https://openalex.org/W3143569053","https://openalex.org/W4254057022","https://openalex.org/W4285719527","https://openalex.org/W4298419852","https://openalex.org/W4388297216"],"related_works":["https://openalex.org/W4302390815","https://openalex.org/W1522151040","https://openalex.org/W2075253961","https://openalex.org/W2767525306","https://openalex.org/W2485420135","https://openalex.org/W2519426634","https://openalex.org/W1503519883","https://openalex.org/W2184269028","https://openalex.org/W2179817186","https://openalex.org/W1552558122"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}