{"title":"四元数及其伴随函数的图形表示法","authors":"Stephen C. Pearson","doi":"10.33140/jeee.03.02.12","DOIUrl":null,"url":null,"abstract":"In this particular paper we will demonstrate that, by invoking the concept of a ‘quaternionic quasicomplex component’, it is possible to graphically represent all quaternions and their concomitant functions with the aid of specific quaternionic analogues of the Argand diagram from complex variable analysis, bearing in mind that the algebraic and analytic properties of the aforesaid numbers and functions have been comprehensively elucidated in the author’s antecedent papers [2]; [3]; [4] & [5]","PeriodicalId":515574,"journal":{"name":"Journal of Electrical Electronics Engineering","volume":"80 ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Graphical Representation of Quaternions and Their Concomitant Functions\",\"authors\":\"Stephen C. Pearson\",\"doi\":\"10.33140/jeee.03.02.12\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this particular paper we will demonstrate that, by invoking the concept of a ‘quaternionic quasicomplex component’, it is possible to graphically represent all quaternions and their concomitant functions with the aid of specific quaternionic analogues of the Argand diagram from complex variable analysis, bearing in mind that the algebraic and analytic properties of the aforesaid numbers and functions have been comprehensively elucidated in the author’s antecedent papers [2]; [3]; [4] & [5]\",\"PeriodicalId\":515574,\"journal\":{\"name\":\"Journal of Electrical Electronics Engineering\",\"volume\":\"80 \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Electrical Electronics Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.33140/jeee.03.02.12\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Electrical Electronics Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33140/jeee.03.02.12","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Graphical Representation of Quaternions and Their Concomitant Functions
In this particular paper we will demonstrate that, by invoking the concept of a ‘quaternionic quasicomplex component’, it is possible to graphically represent all quaternions and their concomitant functions with the aid of specific quaternionic analogues of the Argand diagram from complex variable analysis, bearing in mind that the algebraic and analytic properties of the aforesaid numbers and functions have been comprehensively elucidated in the author’s antecedent papers [2]; [3]; [4] & [5]
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