{"id":"https://openalex.org/W2916498667","doi":null,"title":"A Supplementary Discourse on the Classification and Calculus of Quaternion Hypercomplex Functions - PART 10/10.","display_name":"A Supplementary Discourse on the Classification and Calculus of Quaternion Hypercomplex Functions - PART 10/10.","publication_year":2019,"publication_date":"2019-02-01","ids":{"openalex":"https://openalex.org/W2916498667","mag":"2916498667"},"language":"en","primary_location":{"id":"mag:2916498667","doi":null,"is_oa":false,"landing_page_url":"https://vixra.org/pdf/1902.0491v1.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2883122597","display_name":"viXra","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"viXra","raw_type":null},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"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/A5081229381","display_name":"Stephen C. Pearson.","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Stephen C. Pearson.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5081229381"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":1.0,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11822","display_name":"Analytic and geometric function theory","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/series-expansion","display_name":"series expansion","score":0.8859999775886536},{"id":"https://openalex.org/keywords/hypercomplex-analysis","display_name":"hypercomplex analysis","score":0.6690000295639038}],"concepts":[{"id":"https://openalex.org/C203249530","wikidata":"https://www.wikidata.org/wiki/Q837414","display_name":"Hypercomplex number","level":3,"score":0.9952104091644287},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.9800786972045898},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5734052658081055},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5587949156761169},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.5519794225692749},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.547482967376709},{"id":"https://openalex.org/C151640129","wikidata":"https://www.wikidata.org/wiki/Q2835967","display_name":"Quaternion algebra","level":5,"score":0.5083951354026794},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4228111207485199},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12988072633743286},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.059549182653427124},{"id":"https://openalex.org/C138354692","wikidata":"https://www.wikidata.org/wiki/Q1231309","display_name":"Division algebra","level":4,"score":0.05157911777496338},{"id":"https://openalex.org/C169171071","wikidata":"https://www.wikidata.org/wiki/Q5449241","display_name":"Filtered algebra","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2916498667","doi":null,"is_oa":false,"landing_page_url":"https://vixra.org/pdf/1902.0491v1.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2883122597","display_name":"viXra","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"viXra","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2916205335","https://openalex.org/W2917906954","https://openalex.org/W2572893131","https://openalex.org/W2917330019","https://openalex.org/W2917006597","https://openalex.org/W2916884673","https://openalex.org/W2962415711","https://openalex.org/W2336789343","https://openalex.org/W4206379774","https://openalex.org/W2002128260"],"abstract_inverted_index":{"This":[0],"particular":[1],"submission":[2],"contains":[3],"(inter":[4],"alia)":[5],"a":[6,25,38,54],"copy":[7],"[PART":[8],"1/10]":[9],"of":[10,27,45,53,82,89,96,101,127],"the":[11,41,75,80,102,125],"author's":[12,42],"original":[13],"paper,":[14],"which":[15,72],"was":[16],"completed":[17],"on":[18],"5th":[19],"March":[20],"2001":[21],"and":[22,70,114],"thus":[23],"comprises":[24],"total":[26],"316":[28],"handwritten":[29],"foolscap":[30],"pages.":[31],"Bearing":[32],"in":[33],"mind":[34],"that":[35],"it":[36],"is":[37,65],"sequel":[39],"to":[40,51,61,66,74,108,124],"previous":[43],"set":[44],"submissions,":[46],"namely":[47],"-":[48,58],"An":[49],"Introduction":[50],"Functions":[52],"Quaternion":[55],"Hypercomplex":[56],"Variable":[57],"PARTS":[59],"1/6":[60],"6/6,":[62],"its":[63],"purpose":[64],"enunciate":[67],"various":[68],"definitions":[69],"theorems,":[71],"pertain":[73],"following":[76],"topics,":[77],"i.e.":[78],"(a)":[79],"classification":[81],"quaternion":[83,90,97,128],"hypercomplex":[84,91,98],"functions;":[85,92],"(b)":[86],"further":[87],"calculus":[88],"(c)":[93],"series":[94],"expansions":[95],"functions.":[99],"Many":[100],"concepts":[103],"presented":[104],"therein":[105],"are":[106],"analogous":[107],"well":[109],"established":[110],"notions":[111],"from":[112],"real":[113],"complex":[115],"variable":[116],"analysis":[117],"with":[118],"any":[119],"divergent":[120],"results":[121],"being":[122],"due":[123],"non-commutativity":[126],"products.":[129]},"counts_by_year":[],"updated_date":"2025-10-10T17:16:08.811792","created_date":"2019-03-02T00:00:00"}
