{"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}
引用次数: 0
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]
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